Details

analyze112.0ms (1.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	192	22
1	192	22
0	1	1
1	1	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

Symmetry

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample25.0ms (0.4%)

Algorithm

1×

intervals

Results

5.0ms	40×	body	1024	valid
5.0ms	145×	body	128	valid
5.0ms	44×	body	512	valid
2.0ms	27×	body	256	valid

Compiler

Compiled 31 to 28 computations (9.7% saved)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	192	22
1	192	22

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

6.6b

Counts

2 → 1

Compiler

Compiled 30 to 26 computations (13.3% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

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))
1.1b	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))

rewrite332.0ms (5.7%)

Algorithm

1×	rewrite-expression-head

Error

6.1b

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×	`associate-+l+_binary64_1034` `difference-of-squares_binary64_1070`
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×	`div-exp_binary64_1152` `associate-/r/_binary64_1047` `difference-of-sqr-1_binary64_1071`
3×	`frac-add_binary64_1109` `flip3--_binary64_1105` `flip--_binary64_1076`
2×	`diff-log_binary64_1193` `sum-log_binary64_1192` `frac-sub_binary64_1110` `flip3-+_binary64_1104` `flip-+_binary64_1075` `sub-neg_binary64_1094` `inv-pow_binary64_1186` `pow-flip_binary64_1175` `1-exp_binary64_1145` `rec-exp_binary64_1151` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `clear-num_binary64_1100`
1×	`associate-+l-_binary64_1036` `+-commutative_binary64_1031`

Counts

4 → 161

Calls

4 calls:

47.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
20.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
6.0ms	(/.f64 1 (-.f64 x 1))
5.0ms	(/.f64 1 (+.f64 x 1))

Compiler

Compiled 3810 to 3089 computations (18.9% saved)

series232.0ms (4%)

Error

0.0b

Counts

4 → 47

Calls

4 calls:

95.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
30.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
30.0ms	(/.f64 1 (+.f64 x 1))
29.0ms	(/.f64 1 (-.f64 x 1))

Compiler

Compiled 1738 to 1453 computations (16.4% saved)

simplify98.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4938	3281
1	4938	3281

prune236.0ms (4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	205	3	208
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	206	3	209

Error

0.0b

Counts

209 → 3

Compiler

Compiled 4166 to 3307 computations (20.6% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (+.f64 x -1))
0.0b	(/.f64 1 (+.f64 x 1))
0.0b	(-.f64 (/.f64 2 x) (/.f64 1 (+.f64 x -1)))
1.1b	(-.f64 (/.f64 1 (+.f64 x 1)) (-.f64 (/.f64 2 x) (/.f64 1 (+.f64 x -1))))

rewrite379.0ms (6.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

138×	`*-un-lft-identity_binary64_1101`
93×	`add-sqr-sqrt_binary64_1123` `times-frac_binary64_1107`
55×	`cancel-sign-sub-inv_binary64_1067`
42×	`add-cube-cbrt_binary64_1136`
26×	`distribute-lft-out--_binary64_1053`
22×	`associate--r+_binary64_1037`
20×	`distribute-lft-out_binary64_1052`
15×	`difference-of-squares_binary64_1070`
12×	`add-exp-log_binary64_1139`
11×	`add-log-exp_binary64_1140` `div-inv_binary64_1098`
10×	`difference-of-sqr--1_binary64_1072`
9×	`associate-/r*_binary64_1045`
8×	`add-cbrt-cube_binary64_1137` `associate-/r/_binary64_1047`
6×	`pow1_binary64_1162` `associate-/l*_binary64_1046`
5×	`frac-sub_binary64_1110`
4×	`diff-log_binary64_1193` `flip3-+_binary64_1104` `flip-+_binary64_1075` `div-exp_binary64_1152`
3×	`flip3--_binary64_1105` `flip--_binary64_1076` `sub-neg_binary64_1094`
2×	`inv-pow_binary64_1186` `pow-flip_binary64_1175` `1-exp_binary64_1145` `rec-exp_binary64_1151` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `clear-num_binary64_1100`
1×	`associate--r-_binary64_1040`

Counts

4 → 185

Calls

4 calls:

46.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (-.f64 (/.f64 2 x) (/.f64 1 (+.f64 x -1))))
23.0ms	(-.f64 (/.f64 2 x) (/.f64 1 (+.f64 x -1)))
6.0ms	(/.f64 1 (+.f64 x -1))
5.0ms	(/.f64 1 (+.f64 x 1))

Compiler

Compiled 4519 to 3719 computations (17.7% saved)

series234.0ms (4%)

Error

0.0b

Counts

4 → 47

Calls

4 calls:

94.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (-.f64 (/.f64 2 x) (/.f64 1 (+.f64 x -1))))
37.0ms	(-.f64 (/.f64 2 x) (/.f64 1 (+.f64 x -1)))
30.0ms	(/.f64 1 (+.f64 x 1))
29.0ms	(/.f64 1 (+.f64 x -1))

Compiler

Compiled 1734 to 1449 computations (16.4% saved)

simplify78.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

232 → 232

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5093	3938

prune272.0ms (4.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	232	0	232
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	232	3	235

Error

0.0b

Counts

235 → 3

Compiler

Compiled 4875 to 3902 computations (20% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (+.f64 x 1))
0.0b	(+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1)))
1.1b	(+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))
1.6b	(exp.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))))

rewrite271.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

113×	`*-un-lft-identity_binary64_1101`
53×	`distribute-lft-out_binary64_1052`
40×	`times-frac_binary64_1107`
15×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123`
13×	`log-prod_binary64_1187` `exp-sum_binary64_1147`
12×	`div-inv_binary64_1098`
11×	`add-log-exp_binary64_1140`
9×	`frac-add_binary64_1109`
8×	`add-exp-log_binary64_1139`
6×	`pow1_binary64_1162` `flip3-+_binary64_1104` `flip-+_binary64_1075` `add-cbrt-cube_binary64_1137`
5×	`log-div_binary64_1188` `exp-diff_binary64_1149`
4×	`exp-prod_binary64_1153` `sum-log_binary64_1192` `associate-/r*_binary64_1045`
3×	`associate-/l*_binary64_1046`
2×	`+-commutative_binary64_1031` `div-exp_binary64_1152` `associate-/r/_binary64_1047`
1×	`log-pow_binary64_1190` `rem-exp-log_binary64_1141` `associate-+r+_binary64_1033` `inv-pow_binary64_1186` `pow-flip_binary64_1175` `1-exp_binary64_1145` `rec-exp_binary64_1151` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `clear-num_binary64_1100`

Counts

4 → 109

Calls

4 calls:

37.0ms	(+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))
34.0ms	(exp.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))))
18.0ms	(+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1)))
6.0ms	(/.f64 1 (+.f64 x 1))

Compiler

Compiled 3049 to 2548 computations (16.4% saved)

series299.0ms (5.1%)

Error

0.0b

Counts

4 → 41

Calls

4 calls:

93.0ms	(+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))
91.0ms	(exp.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))))
36.0ms	(+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1)))
34.0ms	(/.f64 1 (+.f64 x 1))

Compiler

Compiled 1732 to 1500 computations (13.4% saved)

simplify81.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4948	3057
1	4948	3057

prune196.0ms (3.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	148	2	150
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	149	4	153

Error

0.0b

Counts

153 → 4

Compiler

Compiled 3376 to 2737 computations (18.9% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (+.f64 x 1))
0.0b	(+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1)))
1.1b	(+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))
1.6b	(pow.f64 E.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))))

rewrite289.0ms (4.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

114×	`*-un-lft-identity_binary64_1101`
53×	`distribute-lft-out_binary64_1052`
40×	`times-frac_binary64_1107`
16×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123`
13×	`log-prod_binary64_1187` `unpow-prod-up_binary64_1179`
12×	`div-inv_binary64_1098`
11×	`add-log-exp_binary64_1140`
9×	`frac-add_binary64_1109` `add-exp-log_binary64_1139`
7×	`pow1_binary64_1162`
6×	`flip3-+_binary64_1104` `flip-+_binary64_1075` `add-cbrt-cube_binary64_1137`
5×	`log-div_binary64_1188` `pow-sub_binary64_1177`
4×	`pow-unpow_binary64_1178` `sum-log_binary64_1192` `associate-/r*_binary64_1045`
3×	`unpow-prod-down_binary64_1180` `associate-/l*_binary64_1046`
2×	`pow-exp_binary64_1169` `+-commutative_binary64_1031` `div-exp_binary64_1152` `associate-/r/_binary64_1047`
1×	`log-pow_binary64_1190` `pow-pow_binary64_1173` `pow-to-exp_binary64_1170` `e-exp-1_binary64_1146` `sqr-pow_binary64_1073` `associate-+r+_binary64_1033` `inv-pow_binary64_1186` `pow-flip_binary64_1175` `1-exp_binary64_1145` `rec-exp_binary64_1151` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `clear-num_binary64_1100`

Counts

4 → 116

Calls

4 calls:

40.0ms	(+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))
35.0ms	(pow.f64 E.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))))
19.0ms	(+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1)))
6.0ms	(/.f64 1 (+.f64 x 1))

Compiler

Compiled 3403 to 2724 computations (20% saved)

series318.0ms (5.4%)

Error

0.0b

Counts

4 → 41

Calls

4 calls:

109.0ms	(pow.f64 E.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))))
96.0ms	(+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))
33.0ms	(+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1)))
32.0ms	(/.f64 1 (+.f64 x 1))

Compiler

Compiled 1803 to 1537 computations (14.8% saved)

simplify98.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4906	3666
1	4906	3666

prune198.0ms (3.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	157	4	161

Error

0.0b

Counts

161 → 4

Compiler

Compiled 3808 to 2963 computations (22.2% saved)

regimes249.0ms (4.3%)

Accuracy

Total 0.6b remaining (99.1%)

Threshold costs 0.6b (99.1%)

Compiler

Compiled 2334 to 1966 computations (15.8% saved)

bsearch2.0ms (0%)

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

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	150	143
1	150	143

Removed

()

end0.0ms (0%)

sample1.8s (30.4%)

Algorithm

1×

intervals

Results

186.0ms	1310×	body	1024	valid
169.0ms	4417×	body	128	valid
164.0ms	1542×	body	512	valid
54.0ms	731×	body	256	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 1191 to 999 computations (16.1% saved)

Details

analyze112.0ms (1.9%)

sample25.0ms (0.4%)

simplify13.0ms (0.2%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite332.0ms (5.7%)

series232.0ms (4%)

simplify98.0ms (1.7%)

prune236.0ms (4%)

localize9.0ms (0.2%)

rewrite379.0ms (6.5%)

series234.0ms (4%)

simplify78.0ms (1.3%)

prune272.0ms (4.7%)

localize11.0ms (0.2%)

rewrite271.0ms (4.6%)

series299.0ms (5.1%)

simplify81.0ms (1.4%)

prune196.0ms (3.4%)

localize12.0ms (0.2%)

rewrite289.0ms (4.9%)

series318.0ms (5.4%)

simplify98.0ms (1.7%)

prune198.0ms (3.4%)

regimes249.0ms (4.3%)

bsearch2.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.8s (30.4%)

Profiling