Details

analyze7.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
75%	25%	0%	5
87.5%	12.5%	0%	6
93.7%	6.2%	0%	7
96.8%	3.1%	0%	8
98.4%	1.6%	0%	9
99.2%	0.8%	0%	10
99.6%	0.4%	0%	11
99.8%	0.2%	0%	12
99.9%	0.1%	0%	13
99.9%	0.1%	0.1%	14

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample30.0ms (0%)

Algorithm

1×

intervals

Results

7.0ms	47×	body	1024	valid
6.0ms	154×	body	128	valid
4.0ms	37×	body	512	valid
1.0ms	18×	body	256	valid

Compiler

Compiled 34 to 32 computations (5.9% saved)

simplify107.0ms (0%)

Algorithm

1×	egg-herbie

Counts

4 → 4

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	192	25
1	192	25

prune3.0ms (0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	1	3	4
Fresh	0	4	4
Picked	0	0	0
Done	0	0	0
Total	1	7	8

Error

8.2b

Counts

8 → 4

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize10.0ms (0%)

Local error

Found 8 expressions with local error:

2.0b	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
0.0b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
0.0b	(/.f64 1 (+.f64 x 1))
0.0b	(/.f64 1 (-.f64 x 1))
0.0b	(/.f64 1 (-.f64 x 1))
0.0b	(/.f64 1 (+.f64 x 1))
0.0b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
2.0b	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))

rewrite90.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

112×	`*-un-lft-identity_binary64_1101`
74×	`times-frac_binary64_1107`
72×	`add-sqr-sqrt_binary64_1123`
39×	`add-cube-cbrt_binary64_1136`
26×	`cancel-sign-sub-inv_binary64_1067`
18×	`distribute-lft-out--_binary64_1053`
17×	`distribute-lft-out_binary64_1052`
14×	`difference-of-squares_binary64_1070` `associate-+l+_binary64_1034`
12×	`add-exp-log_binary64_1139`
11×	`add-log-exp_binary64_1140` `associate-/r*_binary64_1045`
10×	`div-inv_binary64_1098`
8×	`add-cbrt-cube_binary64_1137`
6×	`pow1_binary64_1162` `associate-/l*_binary64_1046`
4×	`difference-of-sqr-1_binary64_1071` `associate-/r/_binary64_1047` `div-exp_binary64_1152`
3×	`flip--_binary64_1076` `flip3--_binary64_1105` `frac-add_binary64_1109`
2×	`inv-pow_binary64_1186` `diff-log_binary64_1193` `1-exp_binary64_1145` `frac-2neg_binary64_1112` `sum-log_binary64_1192` `sub-neg_binary64_1094` `clear-num_binary64_1100` `flip3-+_binary64_1104` `rec-exp_binary64_1151` `frac-sub_binary64_1110` `cbrt-undiv_binary64_1135` `flip-+_binary64_1075` `pow-flip_binary64_1175`
1×	`associate-+l-_binary64_1036` `+-commutative_binary64_1031`

Counts

4 → 161

Calls

8 calls:

41.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
22.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
6.0ms	(/.f64 1 (-.f64 x 1))
6.0ms	(/.f64 1 (+.f64 x 1))
0.0ms	(/.f64 1 (-.f64 x 1))

series191.0ms (0%)

Counts

4 → 46

Calls

4 calls:

93.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
35.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
33.0ms	(/.f64 1 (-.f64 x 1))
29.0ms	(/.f64 1 (+.f64 x 1))

Compiler

Compiled 880 to 759 computations (13.8% saved)

simplify82.0ms (0%)

Algorithm

1×	egg-herbie

Counts

207 → 207

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4985	3235
1	4985	3235

prune876.0ms (0.1%)

Pruning

79 alts after pruning (78 fresh and 1 done)

	Pruned	Kept	Total
New	132	75	207
Fresh	0	3	3
Picked	0	0	0
Done	0	1	1
Total	132	79	211

Error

0.2b

Counts

211 → 79

Compiler

Compiled 4108 to 3342 computations (18.6% saved)

localize10.0ms (0%)

Local error

Found 8 expressions with local error:

2.0b	(+.f64 (-.f64 (/.f64 (sqrt.f64 1) (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
0.0b	(-.f64 (/.f64 (sqrt.f64 1) (+.f64 1 x)) (/.f64 2 x))
0.0b	(/.f64 (sqrt.f64 1) (+.f64 1 x))
0.0b	(/.f64 1 (-.f64 x 1))
0.0b	(/.f64 1 (-.f64 x 1))
0.0b	(/.f64 (sqrt.f64 1) (+.f64 1 x))
0.0b	(-.f64 (/.f64 (sqrt.f64 1) (+.f64 1 x)) (/.f64 2 x))
2.0b	(+.f64 (-.f64 (/.f64 (sqrt.f64 1) (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))

rewrite115.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

122×	`*-un-lft-identity_binary64_1101`
89×	`times-frac_binary64_1107`
87×	`add-sqr-sqrt_binary64_1123`
47×	`add-cube-cbrt_binary64_1136`
26×	`cancel-sign-sub-inv_binary64_1067`
19×	`sqrt-prod_binary64_1117`
18×	`distribute-lft-out_binary64_1052`
16×	`difference-of-squares_binary64_1070`
15×	`distribute-lft-out--_binary64_1053`
14×	`associate-+l+_binary64_1034`
11×	`add-log-exp_binary64_1140` `associate-/r*_binary64_1045`
10×	`add-exp-log_binary64_1139`
9×	`associate-/l*_binary64_1046`
8×	`add-cbrt-cube_binary64_1137`
6×	`div-inv_binary64_1098`
5×	`pow1_binary64_1162`
4×	`difference-of-sqr-1_binary64_1071` `associate-/r/_binary64_1047`
3×	`flip--_binary64_1076` `flip3--_binary64_1105` `div-exp_binary64_1152` `frac-add_binary64_1109`
2×	`diff-log_binary64_1193` `frac-2neg_binary64_1112` `sum-log_binary64_1192` `sub-neg_binary64_1094` `clear-num_binary64_1100` `flip3-+_binary64_1104` `frac-sub_binary64_1110` `cbrt-undiv_binary64_1135` `flip-+_binary64_1075`
1×	`inv-pow_binary64_1186` `1-exp_binary64_1145` `rec-exp_binary64_1151` `associate-+l-_binary64_1036` `+-commutative_binary64_1031` `pow-flip_binary64_1175`

Counts

4 → 171

Calls

8 calls:

52.0ms	(+.f64 (-.f64 (/.f64 (sqrt.f64 1) (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
28.0ms	(-.f64 (/.f64 (sqrt.f64 1) (+.f64 1 x)) (/.f64 2 x))
8.0ms	(/.f64 (sqrt.f64 1) (+.f64 1 x))
6.0ms	(/.f64 1 (-.f64 x 1))
0.0ms	(/.f64 1 (-.f64 x 1))

series197.0ms (0%)

Counts

4 → 46

Calls

4 calls:

98.0ms	(+.f64 (-.f64 (/.f64 (sqrt.f64 1) (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
35.0ms	(-.f64 (/.f64 (sqrt.f64 1) (+.f64 1 x)) (/.f64 2 x))
33.0ms	(/.f64 1 (-.f64 x 1))
31.0ms	(/.f64 (sqrt.f64 1) (+.f64 1 x))

Compiler

Compiled 892 to 771 computations (13.6% saved)

simplify89.0ms (0%)

Algorithm

1×	egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5019	3464

localize3.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

localize16.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x))
0.0b	(/.f64 1 (+.f64 1 x))
0.0b	(/.f64 1 (+.f64 1 x))
0.0b	(/.f64 1 (+.f64 1 x))
0.2b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x))
0.2b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x))
6.4b	(+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (-.f64 x 1)) 1)
17.4b	(/.f64 (.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (+.f64 (.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (-.f64 x 1)) 1)) (*.f64 (-.f64 x 1) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x))))

rewrite159.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`*-un-lft-identity_binary64_1101`
16×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
13×	`flip3-+_binary64_1104` `flip-+_binary64_1075`
12×	`frac-times_binary64_1111`
11×	`associate-/l/_binary64_1048` `associate-/r/_binary64_1047`
10×	`add-log-exp_binary64_1140` `distribute-lft-out_binary64_1052`
9×	`times-frac_binary64_1107`
8×	`frac-add_binary64_1109` `associate-+l+_binary64_1034`
6×	`add-sqr-sqrt_binary64_1123` `add-cube-cbrt_binary64_1136` `cancel-sign-sub-inv_binary64_1067`
5×	`associate-r/_binary64_1043` `associate-l/_binary64_1044`
4×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `pow1_binary64_1162` `distribute-lft-in_binary64_1050` `flip--_binary64_1076` `flip3--_binary64_1105` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `distribute-rgt-in_binary64_1051`
3×	`sum-log_binary64_1192` `div-inv_binary64_1098` `+-commutative_binary64_1031`
2×	`sub-neg_binary64_1094`
1×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l_binary64_1046` `associate-/r_binary64_1045`

Counts

4 → 94

Calls

8 calls:

75.0ms	(/.f64 (.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (+.f64 (.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (-.f64 x 1)) 1)) (*.f64 (-.f64 x 1) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x))))
29.0ms	(+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (-.f64 x 1)) 1)
23.0ms	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x))
17.0ms	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x))
0.0ms	(/.f64 1 (+.f64 1 x))

series292.0ms (0%)

Counts

4 → 44

Calls

4 calls:

126.0ms	(/.f64 (.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (+.f64 (.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (-.f64 x 1)) 1)) (*.f64 (-.f64 x 1) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x))))
72.0ms	(+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (-.f64 x 1)) 1)
47.0ms	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x))
46.0ms	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x))

Compiler

Compiled 1673 to 1406 computations (16% saved)

simplify110.0ms (0%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4935	3647
1	4935	3647

localize12.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x))
0.0b	(/.f64 1 (+.f64 1 x))
0.0b	(/.f64 1 (-.f64 x 1))
0.0b	(log.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x))))
0.0b	(/.f64 1 (+.f64 1 x))
0.0b	(-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x))
1.8b	(exp.f64 (log.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)))))
2.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)))

rewrite135.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

129×	`*-un-lft-identity_binary64_1101`
65×	`times-frac_binary64_1107`
46×	`add-sqr-sqrt_binary64_1123`
29×	`distribute-lft-out_binary64_1052` `add-cube-cbrt_binary64_1136`
26×	`cancel-sign-sub-inv_binary64_1067`
24×	`distribute-lft-out--_binary64_1053`
14×	`associate-+r+_binary64_1033` `div-inv_binary64_1098`
13×	`exp-sum_binary64_1147` `log-prod_binary64_1187`
11×	`add-log-exp_binary64_1140`
8×	`add-exp-log_binary64_1139`
6×	`difference-of-squares_binary64_1070` `pow1_binary64_1162` `add-cbrt-cube_binary64_1137` `frac-add_binary64_1109`
5×	`exp-diff_binary64_1149` `log-div_binary64_1188`
4×	`exp-prod_binary64_1153` `associate-/r*_binary64_1045`
3×	`flip--_binary64_1076` `flip3--_binary64_1105` `flip3-+_binary64_1104` `associate-/l*_binary64_1046` `frac-sub_binary64_1110` `flip-+_binary64_1075`
2×	`diff-log_binary64_1193` `sum-log_binary64_1192` `sub-neg_binary64_1094` `associate-/r/_binary64_1047` `div-exp_binary64_1152`
1×	`inv-pow_binary64_1186` `1-exp_binary64_1145` `rem-exp-log_binary64_1141` `frac-2neg_binary64_1112` `associate-+r-_binary64_1035` `clear-num_binary64_1100` `rec-exp_binary64_1151` `+-commutative_binary64_1031` `cbrt-undiv_binary64_1135` `log-pow_binary64_1190` `pow-flip_binary64_1175`

Counts

4 → 142

Calls

8 calls:

49.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)))
43.0ms	(exp.f64 (log.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)))))
22.0ms	(-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x))
6.0ms	(/.f64 1 (+.f64 1 x))
0.0ms	(log.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x))))

series259.0ms (0%)

Counts

4 → 39

Calls

4 calls:

100.0ms	(exp.f64 (log.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)))))
89.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)))
38.0ms	(-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x))
32.0ms	(/.f64 1 (+.f64 1 x))

Compiler

Compiled 899 to 799 computations (11.1% saved)

simplify104.0ms (0%)

Algorithm

1×	egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4917	3508
1	4917	3508

localize25.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(-.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
0.0b	(/.f64 1 (-.f64 x 1))
0.0b	(/.f64 1 (-.f64 x 1))
0.0b	(/.f64 1 (-.f64 x 1))
0.3b	(pow.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) 3)
0.3b	(*.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (-.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))))
2.0b	(+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) 3) (pow.f64 (/.f64 1 (-.f64 x 1)) 3))
36.3b	(/.f64 (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) 3) (pow.f64 (/.f64 1 (-.f64 x 1)) 3)) (+.f64 (/.f64 (/.f64 1 (-.f64 x 1)) (-.f64 x 1)) (*.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (-.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))))))

rewrite530.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

985×	`*-un-lft-identity_binary64_1101`
482×	`times-frac_binary64_1107`
250×	`distribute-lft-out_binary64_1052`
238×	`distribute-lft-out--_binary64_1053`
213×	`cube-prod_binary64_1129` `unpow-prod-down_binary64_1180`
179×	`add-sqr-sqrt_binary64_1123`
113×	`div-inv_binary64_1098`
95×	`add-cube-cbrt_binary64_1136`
80×	`cancel-sign-sub-inv_binary64_1067`
47×	`frac-sub_binary64_1110`
45×	`associate-/l*_binary64_1046`
42×	`distribute-lft-in_binary64_1050` `distribute-rgt-in_binary64_1051`
33×	`difference-of-squares_binary64_1070` `flip--_binary64_1076` `flip3--_binary64_1105`
30×	`frac-times_binary64_1111`
29×	`associate-/r/_binary64_1047` `frac-add_binary64_1109`
28×	`associate--l+_binary64_1038`
16×	`associate-r_binary64_1041`
15×	`cube-div_binary64_1130`
13×	`associate-l_binary64_1042`
10×	`associate-*r/_binary64_1043`
9×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
7×	`pow1_binary64_1162`
6×	`add-log-exp_binary64_1140` `difference-of-sqr-1_binary64_1071` `associate-*l/_binary64_1044`
5×	`associate-/l/_binary64_1048` `sum-cubes_binary64_1102`
4×	`sub-neg_binary64_1094`
3×	`flip3-+_binary64_1104` `pow-unpow_binary64_1178` `flip-+_binary64_1075` `associate-/r*_binary64_1045`
1×	`*-commutative_binary64_1032` `pow-exp_binary64_1169` `cube-mult_binary64_1131` `rem-cube-cbrt_binary64_1124` `cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `pow-pow_binary64_1173` `frac-2neg_binary64_1112` `sum-log_binary64_1192` `clear-num_binary64_1100` `unpow3_binary64_1167` `+-commutative_binary64_1031` `pow-prod-down_binary64_1172` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `unswap-sqr_binary64_1069` `sqr-pow_binary64_1073` `pow-to-exp_binary64_1170`

Counts

4 → 475

Calls

8 calls:

180.0ms	(/.f64 (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) 3) (pow.f64 (/.f64 1 (-.f64 x 1)) 3)) (+.f64 (/.f64 (/.f64 1 (-.f64 x 1)) (-.f64 x 1)) (*.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (-.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))))))
114.0ms	(+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) 3) (pow.f64 (/.f64 1 (-.f64 x 1)) 3))
79.0ms	(*.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (-.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))))
20.0ms	(pow.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) 3)
0.0ms	(/.f64 1 (-.f64 x 1))

series707.0ms (0.1%)

Counts

4 → 44

Calls

4 calls:

408.0ms	(/.f64 (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) 3) (pow.f64 (/.f64 1 (-.f64 x 1)) 3)) (+.f64 (/.f64 (/.f64 1 (-.f64 x 1)) (-.f64 x 1)) (*.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (-.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))))))
134.0ms	(+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) 3) (pow.f64 (/.f64 1 (-.f64 x 1)) 3))
95.0ms	(*.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (-.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))))
70.0ms	(pow.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) 3)

Compiler

Compiled 2133 to 1825 computations (14.4% saved)

simplify343.0ms (0%)

Algorithm

1×	egg-herbie

Counts

519 → 519

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4948	39694
1	4948	39694

prune16.9s (2.1%)

Pruning

407 alts after pruning (402 fresh and 5 done)

	Pruned	Kept	Total
New	713	342	1055
Fresh	13	60	73
Picked	0	0	0
Done	1	5	6
Total	727	407	1134

Error

Counts

1134 → 407

Compiler

Compiled 46149 to 37619 computations (18.5% saved)

localize14.0ms (0%)

Local error

Found 8 expressions with local error:

2.0b	(+.f64 (-.f64 (*.f64 (fabs.f64 (cbrt.f64 1)) (/.f64 (sqrt.f64 (cbrt.f64 1)) (+.f64 1 x))) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
0.0b	(-.f64 (*.f64 (fabs.f64 (cbrt.f64 1)) (/.f64 (sqrt.f64 (cbrt.f64 1)) (+.f64 1 x))) (/.f64 2 x))
0.0b	(/.f64 (sqrt.f64 (cbrt.f64 1)) (+.f64 1 x))
0.0b	(/.f64 1 (-.f64 x 1))
0.0b	(/.f64 1 (-.f64 x 1))
0.0b	(/.f64 (sqrt.f64 (cbrt.f64 1)) (+.f64 1 x))
0.0b	(-.f64 (*.f64 (fabs.f64 (cbrt.f64 1)) (/.f64 (sqrt.f64 (cbrt.f64 1)) (+.f64 1 x))) (/.f64 2 x))
2.0b	(+.f64 (-.f64 (*.f64 (fabs.f64 (cbrt.f64 1)) (/.f64 (sqrt.f64 (cbrt.f64 1)) (+.f64 1 x))) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))

rewrite74.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

90×	`*-un-lft-identity_binary64_1101`
75×	`times-frac_binary64_1107`
71×	`add-sqr-sqrt_binary64_1123`
55×	`add-cube-cbrt_binary64_1136`
30×	`sqrt-prod_binary64_1117`
26×	`cancel-sign-sub-inv_binary64_1067`
15×	`cbrt-prod_binary64_1132`
14×	`associate-+l+_binary64_1034`
12×	`distribute-lft-out_binary64_1052` `associate-/l*_binary64_1046`
11×	`add-log-exp_binary64_1140` `associate-/r*_binary64_1045`
10×	`add-exp-log_binary64_1139`
8×	`difference-of-squares_binary64_1070` `add-cbrt-cube_binary64_1137`
5×	`pow1_binary64_1162` `div-inv_binary64_1098`
4×	`difference-of-sqr-1_binary64_1071` `distribute-lft-out--_binary64_1053` `associate-/r/_binary64_1047`
3×	`flip--_binary64_1076` `flip3--_binary64_1105` `div-exp_binary64_1152` `frac-add_binary64_1109`
2×	`diff-log_binary64_1193` `frac-2neg_binary64_1112` `sum-log_binary64_1192` `sub-neg_binary64_1094` `clear-num_binary64_1100` `flip3-+_binary64_1104` `associate-*r/_binary64_1043` `frac-sub_binary64_1110` `cbrt-undiv_binary64_1135` `flip-+_binary64_1075`
1×	`inv-pow_binary64_1186` `1-exp_binary64_1145` `rec-exp_binary64_1151` `associate-+l-_binary64_1036` `+-commutative_binary64_1031` `pow-flip_binary64_1175`

Counts

4 → 169

Calls

8 calls:

30.0ms	(+.f64 (-.f64 (*.f64 (fabs.f64 (cbrt.f64 1)) (/.f64 (sqrt.f64 (cbrt.f64 1)) (+.f64 1 x))) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
14.0ms	(-.f64 (*.f64 (fabs.f64 (cbrt.f64 1)) (/.f64 (sqrt.f64 (cbrt.f64 1)) (+.f64 1 x))) (/.f64 2 x))
7.0ms	(/.f64 (sqrt.f64 (cbrt.f64 1)) (+.f64 1 x))
6.0ms	(/.f64 1 (-.f64 x 1))
0.0ms	(/.f64 1 (-.f64 x 1))

series201.0ms (0%)

Counts

4 → 46

Calls

4 calls:

100.0ms	(+.f64 (-.f64 (*.f64 (fabs.f64 (cbrt.f64 1)) (/.f64 (sqrt.f64 (cbrt.f64 1)) (+.f64 1 x))) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
35.0ms	(-.f64 (*.f64 (fabs.f64 (cbrt.f64 1)) (/.f64 (sqrt.f64 (cbrt.f64 1)) (+.f64 1 x))) (/.f64 2 x))
33.0ms	(/.f64 1 (-.f64 x 1))
33.0ms	(/.f64 (sqrt.f64 (cbrt.f64 1)) (+.f64 1 x))

Compiler

Compiled 1000 to 879 computations (12.1% saved)

simplify92.0ms (0%)

Algorithm

1×	egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5095	4141

localize7.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

localize10.0ms (0%)

Local error

Found 8 expressions with local error:

2.0b	(+.f64 (-.f64 (/.f64 (sqrt.f64 1) (+.f64 1 x)) (/.f64 2 x)) (pow.f64 (-.f64 x 1) -1))
0.0b	(-.f64 (/.f64 (sqrt.f64 1) (+.f64 1 x)) (/.f64 2 x))
0.0b	(/.f64 (sqrt.f64 1) (+.f64 1 x))
0.0b	(pow.f64 (-.f64 x 1) -1)
0.0b	(pow.f64 (-.f64 x 1) -1)
0.0b	(/.f64 (sqrt.f64 1) (+.f64 1 x))
0.0b	(-.f64 (/.f64 (sqrt.f64 1) (+.f64 1 x)) (/.f64 2 x))
2.0b	(+.f64 (-.f64 (/.f64 (sqrt.f64 1) (+.f64 1 x)) (/.f64 2 x)) (pow.f64 (-.f64 x 1) -1))

rewrite95.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

72×	`*-un-lft-identity_binary64_1101`
65×	`add-sqr-sqrt_binary64_1123`
56×	`times-frac_binary64_1107`
37×	`add-cube-cbrt_binary64_1136`
26×	`cancel-sign-sub-inv_binary64_1067`
19×	`sqrt-prod_binary64_1117`
14×	`associate-+l+_binary64_1034`
11×	`add-log-exp_binary64_1140`
10×	`difference-of-squares_binary64_1070` `distribute-lft-out_binary64_1052`
7×	`unpow-prod-down_binary64_1180` `add-exp-log_binary64_1139`
6×	`associate-/l*_binary64_1046` `add-cbrt-cube_binary64_1137`
5×	`pow1_binary64_1162` `distribute-lft-out--_binary64_1053`
4×	`unpow-1_binary64_1158` `associate-/r*_binary64_1045`
3×	`pow-unpow_binary64_1178` `div-inv_binary64_1098` `frac-add_binary64_1109`
2×	`diff-log_binary64_1193` `sum-log_binary64_1192` `sub-neg_binary64_1094` `flip--_binary64_1076` `flip3--_binary64_1105` `flip3-+_binary64_1104` `associate-/r/_binary64_1047` `frac-sub_binary64_1110` `flip-+_binary64_1075`
1×	`pow-exp_binary64_1169` `pow-pow_binary64_1173` `frac-2neg_binary64_1112` `difference-of-sqr-1_binary64_1071` `clear-num_binary64_1100` `associate-+l-_binary64_1036` `+-commutative_binary64_1031` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `sqr-pow_binary64_1073` `pow-to-exp_binary64_1170`

Counts

4 → 138

Calls

8 calls:

40.0ms	(+.f64 (-.f64 (/.f64 (sqrt.f64 1) (+.f64 1 x)) (/.f64 2 x)) (pow.f64 (-.f64 x 1) -1))
30.0ms	(-.f64 (/.f64 (sqrt.f64 1) (+.f64 1 x)) (/.f64 2 x))
6.0ms	(/.f64 (sqrt.f64 1) (+.f64 1 x))
5.0ms	(pow.f64 (-.f64 x 1) -1)
0.0ms	(pow.f64 (-.f64 x 1) -1)

series208.0ms (0%)

Counts

4 → 46

Calls

4 calls:

108.0ms	(+.f64 (-.f64 (/.f64 (sqrt.f64 1) (+.f64 1 x)) (/.f64 2 x)) (pow.f64 (-.f64 x 1) -1))
37.0ms	(-.f64 (/.f64 (sqrt.f64 1) (+.f64 1 x)) (/.f64 2 x))
33.0ms	(pow.f64 (-.f64 x 1) -1)
30.0ms	(/.f64 (sqrt.f64 1) (+.f64 1 x))

Compiler

Compiled 892 to 771 computations (13.6% saved)

simplify94.0ms (0%)

Algorithm

1×	egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4991	2989
1	4991	2989

localize14.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(-.f64 (/.f64 (sqrt.f64 1) (+.f64 1 x)) (/.f64 2 x))
0.0b	(/.f64 (sqrt.f64 1) (+.f64 1 x))
0.0b	(/.f64 1 (-.f64 x 1))
0.0b	(/.f64 1 (-.f64 x 1))
0.1b	(sqrt.f64 (/.f64 1 (-.f64 x 1)))
0.1b	(sqrt.f64 (/.f64 1 (-.f64 x 1)))
0.1b	(*.f64 (sqrt.f64 (/.f64 1 (-.f64 x 1))) (sqrt.f64 (/.f64 1 (-.f64 x 1))))
6.2b	(+.f64 (-.f64 (/.f64 (sqrt.f64 1) (+.f64 1 x)) (/.f64 2 x)) (*.f64 (sqrt.f64 (/.f64 1 (-.f64 x 1))) (sqrt.f64 (/.f64 1 (-.f64 x 1)))))

rewrite129.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

233×	`add-sqr-sqrt_binary64_1123`
216×	`sqrt-prod_binary64_1117`
183×	`times-frac_binary64_1107`
181×	`*-un-lft-identity_binary64_1101`
89×	`add-cube-cbrt_binary64_1136`
46×	`swap-sqr_binary64_1068`
42×	`difference-of-squares_binary64_1070`
31×	`pow1_binary64_1162`
30×	`sqrt-pow1_binary64_1119` `associate-r_binary64_1041` `associate-l_binary64_1042`
24×	`difference-of-sqr-1_binary64_1071` `distribute-lft-out--_binary64_1053`
18×	`sqrt-div_binary64_1118`
16×	`unswap-sqr_binary64_1069`
14×	`associate-+l+_binary64_1034`
13×	`cancel-sign-sub-inv_binary64_1067`
12×	`rem-sqrt-square_binary64_1114` `associate-/r/_binary64_1047`
10×	`inv-pow_binary64_1186` `pow-flip_binary64_1175` `pow1/2_binary64_1181`
9×	`pow-prod-up_binary64_1171` `add-log-exp_binary64_1140` `flip--_binary64_1076` `flip3--_binary64_1105` `div-inv_binary64_1098` `frac-add_binary64_1109`
6×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
5×	`pow-sqr_binary64_1074` `pow-prod-down_binary64_1172`
4×	`frac-times_binary64_1111` `associate-r/_binary64_1043` `associate-l/_binary64_1044`
3×	`frac-sub_binary64_1110` `sqr-abs_binary64_1116`
2×	`sum-log_binary64_1192`
1×	`pow-plus_binary64_1164` `diff-log_binary64_1193` `*-commutative_binary64_1032` `cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `rem-square-sqrt_binary64_1113` `sub-neg_binary64_1094` `flip3-+_binary64_1104` `associate-+l-_binary64_1036` `+-commutative_binary64_1031` `flip-+_binary64_1075` `sqrt-unprod_binary64_1121` `pow2_binary64_1182`

Counts

4 → 281

Calls

8 calls:

36.0ms	(*.f64 (sqrt.f64 (/.f64 1 (-.f64 x 1))) (sqrt.f64 (/.f64 1 (-.f64 x 1))))
35.0ms	(+.f64 (-.f64 (/.f64 (sqrt.f64 1) (+.f64 1 x)) (/.f64 2 x)) (*.f64 (sqrt.f64 (/.f64 1 (-.f64 x 1))) (sqrt.f64 (/.f64 1 (-.f64 x 1)))))
12.0ms	(sqrt.f64 (/.f64 1 (-.f64 x 1)))
7.0ms	(sqrt.f64 (/.f64 1 (-.f64 x 1)))
0.0ms	(/.f64 1 (-.f64 x 1))

series136.0ms (0%)

Counts

4 → 23

Calls

4 calls:

69.0ms	(+.f64 (-.f64 (/.f64 (sqrt.f64 1) (+.f64 1 x)) (/.f64 2 x)) (*.f64 (sqrt.f64 (/.f64 1 (-.f64 x 1))) (sqrt.f64 (/.f64 1 (-.f64 x 1)))))
30.0ms	(*.f64 (sqrt.f64 (/.f64 1 (-.f64 x 1))) (sqrt.f64 (/.f64 1 (-.f64 x 1))))
19.0ms	(sqrt.f64 (/.f64 1 (-.f64 x 1)))
18.0ms	(sqrt.f64 (/.f64 1 (-.f64 x 1)))

Compiler

Compiled 684 to 588 computations (14% saved)

simplify112.0ms (0%)

Algorithm

1×	egg-herbie

Counts

304 → 304

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4977	5473
1	4977	5473

localize50.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(/.f64 1 (+.f64 1 x))
0.0b	(/.f64 1 (-.f64 x 1))
0.0b	(/.f64 1 (-.f64 x 1))
0.0b	(-.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
2.0b	(+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) 3) (pow.f64 (/.f64 1 (-.f64 x 1)) 3))
11.6b	(.f64 (-.f64 x 1) (+.f64 (.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 1 x))) (+.f64 (.f64 (/.f64 2 x) (/.f64 2 x)) (.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)))))
17.3b	(.f64 (/.f64 (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) 3) (pow.f64 (/.f64 1 (-.f64 x 1)) 3)) (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 1 x)) (+.f64 1 x)) (.f64 (/.f64 2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)))) (-.f64 x 1)) (.f64 (-.f64 x 1) (.f64 (-.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) (-.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 3) (pow.f64 (/.f64 2 x) 3)))))) (.f64 (-.f64 x 1) (+.f64 (.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 1 x))) (+.f64 (.f64 (/.f64 2 x) (/.f64 2 x)) (.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x))))))
46.9b	(/.f64 (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) 3) (pow.f64 (/.f64 1 (-.f64 x 1)) 3)) (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 1 x)) (+.f64 1 x)) (.f64 (/.f64 2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)))) (-.f64 x 1)) (.f64 (-.f64 x 1) (*.f64 (-.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) (-.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 3) (pow.f64 (/.f64 2 x) 3))))))

rewrite1.1s (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

1372×	`*-un-lft-identity_binary64_1101`
913×	`frac-times_binary64_1111`
868×	`frac-add_binary64_1109`
657×	`associate-*r/_binary64_1043`
654×	`times-frac_binary64_1107`
392×	`distribute-lft-out_binary64_1052`
356×	`associate-*l/_binary64_1044`
321×	`distribute-lft-out--_binary64_1053`
320×	`cube-prod_binary64_1129` `unpow-prod-down_binary64_1180`
275×	`flip--_binary64_1076` `flip3--_binary64_1105`
219×	`associate-l_binary64_1042`
162×	`div-inv_binary64_1098`
146×	`associate-/r/_binary64_1047`
134×	`frac-sub_binary64_1110`
111×	`add-sqr-sqrt_binary64_1123`
105×	`add-cube-cbrt_binary64_1136`
99×	`un-div-inv_binary64_1099`
84×	`cube-div_binary64_1130`
49×	`flip3-+_binary64_1104` `flip-+_binary64_1075`
45×	`associate-/l*_binary64_1046`
20×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
11×	`pow1_binary64_1162`
8×	`sum-cubes_binary64_1102`
7×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150`
6×	`add-log-exp_binary64_1140`
5×	`distribute-lft-in_binary64_1050` `associate-/l/_binary64_1048` `distribute-rgt-in_binary64_1051`
4×	`associate-r_binary64_1041` `pow-prod-down_binary64_1172`
3×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `associate-/r*_binary64_1045`
2×	`*-commutative_binary64_1032` `difference-of-squares_binary64_1070`
1×	`frac-2neg_binary64_1112` `sum-log_binary64_1192` `difference-of-sqr-1_binary64_1071` `clear-num_binary64_1100` `+-commutative_binary64_1031` `unswap-sqr_binary64_1069`

Counts

4 → 1000

Calls

8 calls:

280.0ms	(.f64 (/.f64 (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) 3) (pow.f64 (/.f64 1 (-.f64 x 1)) 3)) (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 1 x)) (+.f64 1 x)) (.f64 (/.f64 2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)))) (-.f64 x 1)) (.f64 (-.f64 x 1) (.f64 (-.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) (-.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 3) (pow.f64 (/.f64 2 x) 3)))))) (.f64 (-.f64 x 1) (+.f64 (.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 1 x))) (+.f64 (.f64 (/.f64 2 x) (/.f64 2 x)) (.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x))))))
190.0ms	(/.f64 (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) 3) (pow.f64 (/.f64 1 (-.f64 x 1)) 3)) (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 1 x)) (+.f64 1 x)) (.f64 (/.f64 2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)))) (-.f64 x 1)) (.f64 (-.f64 x 1) (*.f64 (-.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) (-.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 3) (pow.f64 (/.f64 2 x) 3))))))
107.0ms	(+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) 3) (pow.f64 (/.f64 1 (-.f64 x 1)) 3))
38.0ms	(.f64 (-.f64 x 1) (+.f64 (.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 1 x))) (+.f64 (.f64 (/.f64 2 x) (/.f64 2 x)) (.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)))))
0.0ms	(-.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))

series1.4s (0.2%)

Counts

4 → 46

Calls

4 calls:

807.0ms	(.f64 (/.f64 (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) 3) (pow.f64 (/.f64 1 (-.f64 x 1)) 3)) (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 1 x)) (+.f64 1 x)) (.f64 (/.f64 2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)))) (-.f64 x 1)) (.f64 (-.f64 x 1) (.f64 (-.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) (-.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 3) (pow.f64 (/.f64 2 x) 3)))))) (.f64 (-.f64 x 1) (+.f64 (.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 1 x))) (+.f64 (.f64 (/.f64 2 x) (/.f64 2 x)) (.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x))))))
296.0ms	(/.f64 (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) 3) (pow.f64 (/.f64 1 (-.f64 x 1)) 3)) (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 1 x)) (+.f64 1 x)) (.f64 (/.f64 2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)))) (-.f64 x 1)) (.f64 (-.f64 x 1) (*.f64 (-.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) (-.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 3) (pow.f64 (/.f64 2 x) 3))))))
158.0ms	(+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) 3) (pow.f64 (/.f64 1 (-.f64 x 1)) 3))
92.0ms	(.f64 (-.f64 x 1) (+.f64 (.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 1 x))) (+.f64 (.f64 (/.f64 2 x) (/.f64 2 x)) (.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)))))

Compiler

Compiled 3329 to 2768 computations (16.9% saved)

simplify999.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1046 → 1046

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	5009	152365

prune1.4min (10.6%)

Pruning

936 alts after pruning (926 fresh and 10 done)

	Pruned	Kept	Total
New	1206	543	1749
Fresh	14	383	397
Picked	0	0	0
Done	0	10	10
Total	1220	936	2156

Error

Counts

2156 → 936

Compiler

Compiled 172839 to 138759 computations (19.7% saved)

localize14.0ms (0%)

Local error

Found 8 expressions with local error:

2.0b	(+.f64 (-.f64 (/.f64 (sqrt.f64 1) (+.f64 1 x)) (/.f64 2 x)) (pow.f64 (pow.f64 (-.f64 x 1) (*.f64 (cbrt.f64 -1) (cbrt.f64 -1))) (cbrt.f64 -1)))
0.0b	(-.f64 (/.f64 (sqrt.f64 1) (+.f64 1 x)) (/.f64 2 x))
0.0b	(/.f64 (sqrt.f64 1) (+.f64 1 x))
0.0b	(pow.f64 (pow.f64 (-.f64 x 1) (*.f64 (cbrt.f64 -1) (cbrt.f64 -1))) (cbrt.f64 -1))
0.0b	(pow.f64 (pow.f64 (-.f64 x 1) (*.f64 (cbrt.f64 -1) (cbrt.f64 -1))) (cbrt.f64 -1))
0.0b	(/.f64 (sqrt.f64 1) (+.f64 1 x))
0.0b	(-.f64 (/.f64 (sqrt.f64 1) (+.f64 1 x)) (/.f64 2 x))
2.0b	(+.f64 (-.f64 (/.f64 (sqrt.f64 1) (+.f64 1 x)) (/.f64 2 x)) (pow.f64 (pow.f64 (-.f64 x 1) (*.f64 (cbrt.f64 -1) (cbrt.f64 -1))) (cbrt.f64 -1)))

rewrite110.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

74×	`*-un-lft-identity_binary64_1101`
67×	`add-sqr-sqrt_binary64_1123`
56×	`times-frac_binary64_1107`
39×	`add-cube-cbrt_binary64_1136`
26×	`cancel-sign-sub-inv_binary64_1067`
19×	`sqrt-prod_binary64_1117`
18×	`unpow-prod-down_binary64_1180`
14×	`associate-+l+_binary64_1034`
11×	`add-log-exp_binary64_1140`
10×	`difference-of-squares_binary64_1070` `distribute-lft-out_binary64_1052`
8×	`add-exp-log_binary64_1139`
6×	`pow-unpow_binary64_1178` `associate-/l*_binary64_1046` `add-cbrt-cube_binary64_1137`
5×	`distribute-lft-out--_binary64_1053`
4×	`pow-exp_binary64_1169` `pow1_binary64_1162` `associate-/r*_binary64_1045`
3×	`div-inv_binary64_1098` `cbrt-prod_binary64_1132`
2×	`diff-log_binary64_1193` `sum-log_binary64_1192` `sub-neg_binary64_1094` `flip3-+_binary64_1104` `associate-/r/_binary64_1047` `flip-+_binary64_1075` `sqr-pow_binary64_1073` `pow-to-exp_binary64_1170`
1×	`pow-pow_binary64_1173` `frac-2neg_binary64_1112` `difference-of-sqr-1_binary64_1071` `clear-num_binary64_1100` `flip--_binary64_1076` `flip3--_binary64_1105` `associate-+l-_binary64_1036` `frac-sub_binary64_1110` `+-commutative_binary64_1031` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135`

Counts

4 → 143

Calls

8 calls:

51.0ms	(+.f64 (-.f64 (/.f64 (sqrt.f64 1) (+.f64 1 x)) (/.f64 2 x)) (pow.f64 (pow.f64 (-.f64 x 1) (*.f64 (cbrt.f64 -1) (cbrt.f64 -1))) (cbrt.f64 -1)))
29.0ms	(-.f64 (/.f64 (sqrt.f64 1) (+.f64 1 x)) (/.f64 2 x))
8.0ms	(/.f64 (sqrt.f64 1) (+.f64 1 x))
7.0ms	(pow.f64 (pow.f64 (-.f64 x 1) (*.f64 (cbrt.f64 -1) (cbrt.f64 -1))) (cbrt.f64 -1))
0.0ms	(pow.f64 (pow.f64 (-.f64 x 1) (*.f64 (cbrt.f64 -1) (cbrt.f64 -1))) (cbrt.f64 -1))

series432.0ms (0.1%)

Counts

4 → 36

Calls

4 calls:

194.0ms	(+.f64 (-.f64 (/.f64 (sqrt.f64 1) (+.f64 1 x)) (/.f64 2 x)) (pow.f64 (pow.f64 (-.f64 x 1) (*.f64 (cbrt.f64 -1) (cbrt.f64 -1))) (cbrt.f64 -1)))
163.0ms	(pow.f64 (pow.f64 (-.f64 x 1) (*.f64 (cbrt.f64 -1) (cbrt.f64 -1))) (cbrt.f64 -1))
39.0ms	(-.f64 (/.f64 (sqrt.f64 1) (+.f64 1 x)) (/.f64 2 x))
36.0ms	(/.f64 (sqrt.f64 1) (+.f64 1 x))

Compiler

Compiled 1541 to 1410 computations (8.5% saved)

simplify112.0ms (0%)

Algorithm

1×	egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4906	3865
1	4906	3865

localize2.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify10.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

localize13.0ms (0%)

Local error

Found 8 expressions with local error:

2.0b	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (.f64 (.f64 (cbrt.f64 1) (cbrt.f64 1)) (/.f64 (cbrt.f64 1) (-.f64 x 1))))
0.0b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
0.0b	(/.f64 1 (+.f64 x 1))
0.0b	(/.f64 (cbrt.f64 1) (-.f64 x 1))
0.0b	(/.f64 (cbrt.f64 1) (-.f64 x 1))
0.0b	(/.f64 1 (+.f64 x 1))
0.0b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
2.0b	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (.f64 (.f64 (cbrt.f64 1) (cbrt.f64 1)) (/.f64 (cbrt.f64 1) (-.f64 x 1))))

rewrite80.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

95×	`add-sqr-sqrt_binary64_1123`
93×	`*-un-lft-identity_binary64_1101`
83×	`times-frac_binary64_1107`
50×	`add-cube-cbrt_binary64_1136`
26×	`cancel-sign-sub-inv_binary64_1067`
24×	`cbrt-prod_binary64_1132`
20×	`difference-of-squares_binary64_1070`
14×	`associate-+l+_binary64_1034`
11×	`add-log-exp_binary64_1140` `distribute-lft-out--_binary64_1053` `associate-/r*_binary64_1045`
10×	`add-exp-log_binary64_1139`
9×	`associate-/l*_binary64_1046`
7×	`difference-of-sqr-1_binary64_1071` `add-cbrt-cube_binary64_1137`
5×	`distribute-lft-out_binary64_1052` `pow1_binary64_1162` `div-inv_binary64_1098`
4×	`associate-/r/_binary64_1047`
3×	`flip--_binary64_1076` `flip3--_binary64_1105` `associate-*r/_binary64_1043` `div-exp_binary64_1152` `frac-add_binary64_1109`
2×	`diff-log_binary64_1193` `frac-2neg_binary64_1112` `sum-log_binary64_1192` `sub-neg_binary64_1094` `clear-num_binary64_1100` `flip3-+_binary64_1104` `frac-sub_binary64_1110` `cbrt-undiv_binary64_1135` `flip-+_binary64_1075`
1×	`inv-pow_binary64_1186` `1-exp_binary64_1145` `rec-exp_binary64_1151` `associate-+l-_binary64_1036` `+-commutative_binary64_1031` `pow-flip_binary64_1175`

Counts

4 → 171

Calls

8 calls:

28.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (.f64 (.f64 (cbrt.f64 1) (cbrt.f64 1)) (/.f64 (cbrt.f64 1) (-.f64 x 1))))
19.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
7.0ms	(/.f64 (cbrt.f64 1) (-.f64 x 1))
5.0ms	(/.f64 1 (+.f64 x 1))
0.0ms	(/.f64 (cbrt.f64 1) (-.f64 x 1))

series212.0ms (0%)

Counts

4 → 46

Calls

4 calls:

102.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (.f64 (.f64 (cbrt.f64 1) (cbrt.f64 1)) (/.f64 (cbrt.f64 1) (-.f64 x 1))))
41.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
36.0ms	(/.f64 (cbrt.f64 1) (-.f64 x 1))
33.0ms	(/.f64 1 (+.f64 x 1))

Compiler

Compiled 1120 to 999 computations (10.8% saved)

simplify88.0ms (0%)

Algorithm

1×	egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4897	3746
1	4897	3746

localize35.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(/.f64 1 (-.f64 x 1))
0.0b	(-.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
0.0b	(-.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
0.0b	(-.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
0.5b	(cbrt.f64 (-.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))))
0.6b	(*.f64 (cbrt.f64 (-.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))) (cbrt.f64 (-.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))))
2.0b	(+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) 3) (pow.f64 (/.f64 1 (-.f64 x 1)) 3))
36.3b	(/.f64 (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) 3) (pow.f64 (/.f64 1 (-.f64 x 1)) 3)) (+.f64 (/.f64 (/.f64 1 (-.f64 x 1)) (-.f64 x 1)) (.f64 (.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (*.f64 (cbrt.f64 (-.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))) (cbrt.f64 (-.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))))) (cbrt.f64 (-.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))))))

rewrite1.5s (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

2225×	`cbrt-div_binary64_1133`
1998×	`frac-sub_binary64_1110`
1970×	`frac-times_binary64_1111`
1365×	`*-un-lft-identity_binary64_1101`
1108×	`flip--_binary64_1076` `flip3--_binary64_1105`
869×	`frac-add_binary64_1109`
865×	`associate-/r/_binary64_1047`
517×	`times-frac_binary64_1107`
480×	`distribute-lft-out--_binary64_1053`
340×	`associate-*r/_binary64_1043`
286×	`associate-*l/_binary64_1044`
267×	`distribute-lft-out_binary64_1052`
200×	`cube-prod_binary64_1129` `unpow-prod-down_binary64_1180`
192×	`cbrt-prod_binary64_1132`
186×	`div-inv_binary64_1098`
106×	`add-sqr-sqrt_binary64_1123`
73×	`swap-sqr_binary64_1068`
63×	`add-cube-cbrt_binary64_1136`
45×	`associate-/l*_binary64_1046`
19×	`associate-r_binary64_1041` `associate-l_binary64_1042`
15×	`difference-of-squares_binary64_1070`
12×	`cube-div_binary64_1130`
11×	`pow1_binary64_1162`
8×	`add-exp-log_binary64_1139`
7×	`pow1/3_binary64_1183`
6×	`add-log-exp_binary64_1140` `add-cbrt-cube_binary64_1137`
5×	`associate-/l/_binary64_1048` `sum-cubes_binary64_1102`
4×	`unswap-sqr_binary64_1069`
3×	`flip3-+_binary64_1104` `flip-+_binary64_1075` `associate-/r*_binary64_1045`
2×	`pow-prod-up_binary64_1171` `pow-sqr_binary64_1074` `pow-prod-down_binary64_1172`
1×	`pow-plus_binary64_1164` `*-commutative_binary64_1032` `cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `frac-2neg_binary64_1112` `sum-log_binary64_1192` `clear-num_binary64_1100` `+-commutative_binary64_1031` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `pow2_binary64_1182`

Counts

4 → 1000

Calls

8 calls:

328.0ms	(/.f64 (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) 3) (pow.f64 (/.f64 1 (-.f64 x 1)) 3)) (+.f64 (/.f64 (/.f64 1 (-.f64 x 1)) (-.f64 x 1)) (.f64 (.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (*.f64 (cbrt.f64 (-.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))) (cbrt.f64 (-.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))))) (cbrt.f64 (-.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))))))
107.0ms	(*.f64 (cbrt.f64 (-.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))) (cbrt.f64 (-.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))))
107.0ms	(+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) 3) (pow.f64 (/.f64 1 (-.f64 x 1)) 3))
44.0ms	(cbrt.f64 (-.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))))
0.0ms	(-.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))

series802.0ms (0.1%)

Counts

4 → 37

Calls

4 calls:

428.0ms	(/.f64 (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) 3) (pow.f64 (/.f64 1 (-.f64 x 1)) 3)) (+.f64 (/.f64 (/.f64 1 (-.f64 x 1)) (-.f64 x 1)) (.f64 (.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (*.f64 (cbrt.f64 (-.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))) (cbrt.f64 (-.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))))) (cbrt.f64 (-.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))))))
146.0ms	(+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) 3) (pow.f64 (/.f64 1 (-.f64 x 1)) 3))
146.0ms	(*.f64 (cbrt.f64 (-.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))) (cbrt.f64 (-.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))))
81.0ms	(cbrt.f64 (-.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))))

Compiler

Compiled 3187 to 2713 computations (14.9% saved)

simplify1.8s (0.2%)

Algorithm

1×	egg-herbie

Counts

1037 → 1037

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5209	307285

localize24.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(-.f64 (/.f64 (sqrt.f64 1) (+.f64 1 x)) (/.f64 2 x))
0.0b	(sqrt.f64 (/.f64 1 (cbrt.f64 (-.f64 x 1))))
0.0b	(/.f64 (sqrt.f64 1) (+.f64 1 x))
0.0b	(/.f64 1 (-.f64 x 1))
0.2b	(cbrt.f64 (-.f64 x 1))
0.2b	(cbrt.f64 (-.f64 x 1))
0.2b	(*.f64 (cbrt.f64 (-.f64 x 1)) (cbrt.f64 (-.f64 x 1)))
6.9b	(+.f64 (-.f64 (/.f64 (sqrt.f64 1) (+.f64 1 x)) (/.f64 2 x)) (.f64 (sqrt.f64 (/.f64 (sqrt.f64 1) (.f64 (cbrt.f64 (-.f64 x 1)) (cbrt.f64 (-.f64 x 1))))) (*.f64 (sqrt.f64 (/.f64 1 (-.f64 x 1))) (sqrt.f64 (/.f64 1 (cbrt.f64 (-.f64 x 1)))))))

rewrite87.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

57×	`add-sqr-sqrt_binary64_1123`
54×	`cbrt-prod_binary64_1132`
47×	`*-un-lft-identity_binary64_1101`
36×	`sqrt-div_binary64_1118`
21×	`add-cube-cbrt_binary64_1136` `frac-add_binary64_1109`
19×	`frac-times_binary64_1111`
17×	`associate-*r/_binary64_1043`
16×	`cbrt-div_binary64_1133`
15×	`flip--_binary64_1076` `flip3--_binary64_1105`
14×	`difference-of-squares_binary64_1070` `swap-sqr_binary64_1068` `associate-+l+_binary64_1034`
13×	`cancel-sign-sub-inv_binary64_1067`
11×	`pow1_binary64_1162` `associate-*l/_binary64_1044`
10×	`associate-r_binary64_1041` `associate-l_binary64_1042`
9×	`add-log-exp_binary64_1140` `times-frac_binary64_1107`
8×	`pow1/3_binary64_1183` `difference-of-sqr-1_binary64_1071` `distribute-lft-out--_binary64_1053`
7×	`frac-sub_binary64_1110`
6×	`add-exp-log_binary64_1139`
4×	`add-cbrt-cube_binary64_1137` `unswap-sqr_binary64_1069`
2×	`pow-prod-up_binary64_1171` `sum-log_binary64_1192` `pow-sqr_binary64_1074` `pow-prod-down_binary64_1172`
1×	`pow-plus_binary64_1164` `diff-log_binary64_1193` `*-commutative_binary64_1032` `cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `sub-neg_binary64_1094` `flip3-+_binary64_1104` `div-inv_binary64_1098` `associate-+l-_binary64_1036` `+-commutative_binary64_1031` `flip-+_binary64_1075` `pow2_binary64_1182`

Counts

4 → 146

Calls

8 calls:

42.0ms	(+.f64 (-.f64 (/.f64 (sqrt.f64 1) (+.f64 1 x)) (/.f64 2 x)) (.f64 (sqrt.f64 (/.f64 (sqrt.f64 1) (.f64 (cbrt.f64 (-.f64 x 1)) (cbrt.f64 (-.f64 x 1))))) (*.f64 (sqrt.f64 (/.f64 1 (-.f64 x 1))) (sqrt.f64 (/.f64 1 (cbrt.f64 (-.f64 x 1)))))))
14.0ms	(*.f64 (cbrt.f64 (-.f64 x 1)) (cbrt.f64 (-.f64 x 1)))
3.0ms	(cbrt.f64 (-.f64 x 1))
3.0ms	(cbrt.f64 (-.f64 x 1))
0.0ms	(/.f64 1 (-.f64 x 1))

series285.0ms (0%)

Counts

4 → 29

Calls

4 calls:

96.0ms	(*.f64 (cbrt.f64 (-.f64 x 1)) (cbrt.f64 (-.f64 x 1)))
93.0ms	(+.f64 (-.f64 (/.f64 (sqrt.f64 1) (+.f64 1 x)) (/.f64 2 x)) (.f64 (sqrt.f64 (/.f64 (sqrt.f64 1) (.f64 (cbrt.f64 (-.f64 x 1)) (cbrt.f64 (-.f64 x 1))))) (*.f64 (sqrt.f64 (/.f64 1 (-.f64 x 1))) (sqrt.f64 (/.f64 1 (cbrt.f64 (-.f64 x 1)))))))
48.0ms	(cbrt.f64 (-.f64 x 1))
48.0ms	(cbrt.f64 (-.f64 x 1))

Compiler

Compiled 1444 to 1287 computations (10.9% saved)

simplify105.0ms (0%)

Algorithm

1×	egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4926	5892
1	4926	5892

prune6.5min (47.7%)

Pruning

1523 alts after pruning (1509 fresh and 14 done)

	Pruned	Kept	Total
New	995	613	1608
Fresh	25	896	921
Picked	0	0	0
Done	1	14	15
Total	1021	1523	2544

Error

Counts

2544 → 1523

Compiler

Compiled 265583 to 215284 computations (18.9% saved)

simplify7.4s (0.9%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	12657	561012

regimes51.9s (6.4%)

Compiler: Compiled 734824 to 598221 computations (18.6% saved)

bsearch440.0ms (0.1%)

Compiler: Compiled 15 to 13 computations (13.3% saved)

regimes586.0ms (0.1%)

Compiler: Compiled 6393 to 5248 computations (17.9% saved)

bsearch5.0ms (0%)

Compiler: Compiled 15 to 13 computations (13.3% saved)

regimes585.0ms (0.1%)

Compiler: Compiled 6383 to 5238 computations (17.9% saved)

bsearch5.0ms (0%)

Compiler: Compiled 15 to 13 computations (13.3% saved)

regimes185.0ms (0%)

Compiler: Compiled 2055 to 1734 computations (15.6% saved)

bsearch0.0ms (0%)

regimes49.0ms (0%)

Compiler: Compiled 185 to 165 computations (10.8% saved)

bsearch29.0ms (0%)

Steps

Iters	Range		Point
9	4.527518323156995e-05	3944.187875125094	0.6493219239636637
8	-0.6706257102597218	-0.0005762865057810233	-0.6408571067733551

Compiler

Compiled 1 to 1 computations (0% saved)

regimes38.0ms (0%)

Compiler: Compiled 107 to 99 computations (7.5% saved)

bsearch28.0ms (0%)

Steps

Iters	Range		Point
9	4.527518323156995e-05	3944.187875125094	0.6493219239636637
8	-1342.536693726904	-0.6706257102597218	-1.00543971476338

Compiler

Compiled 1 to 1 computations (0% saved)

regimes25.0ms (0%)

Compiler: Compiled 33 to 33 computations (0% saved)

bsearch26.0ms (0%)

Steps

Iters	Range		Point
9	4.527518323156995e-05	3944.187875125094	1.0216753732100692
8	-1342.536693726904	-0.6706257102597218	-1.00543971476338

Compiler

Compiled 1 to 1 computations (0% saved)

regimes20.0ms (0%)

Compiler: Compiled 11 to 14 computations (-27.3% saved)

bsearch25.0ms (0%)

Steps

Iters	Range		Point
9	4.527518323156995e-05	3944.187875125094	1.0216753732100692
8	-1342.536693726904	-0.6706257102597218	-1.00543971476338

Compiler

Compiled 1 to 1 computations (0% saved)

regimes9.0ms (0%)

Compiler: Compiled 5 to 8 computations (-60% saved)

bsearch0.0ms (0%)

regimes6.0ms (0%)

Accuracy

Total 0.3b remaining (99.6%)

Threshold costs 0.3b (99.6%)

Compiler

Compiled 4 to 6 computations (-50% saved)

bsearch15.0ms (0%)

Compiler: Compiled 419 to 329 computations (21.5% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	149	501
1	149	501

end0.0ms (0%)

sample4.1min (30.2%)

Algorithm

1×

intervals

Results

175.0ms	1246×	body	1024	valid
169.0ms	4530×	body	128	valid
155.0ms	1503×	body	512	valid
52.0ms	721×	body	256	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 368060 to 299629 computations (18.6% saved)

Pareto

0.8318836411774573