Details

analyze4.0ms (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%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	0.8%	49.2%	9
50.4%	0.4%	49.2%	10
50.4%	0.2%	49.4%	11
50.4%	0.1%	49.5%	12
50.4%	0%	49.6%	13
50.4%	0%	49.6%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample91.0ms (0.1%)

Algorithm

1×

intervals

Results

67.0ms	137×	body	2048	valid
13.0ms	57×	body	1024	valid
4.0ms	33×	body	512	valid
1.0ms	14×	body	256	valid
1.0ms	15×	body	128	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify185.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4809	13
1	4809	13

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

28.9b

Counts

2 → 1

Compiler

Compiled 8 to 7 computations (12.5% saved)

localize6.0ms (0%)

Local error

Found 4 expressions with local error:

4.1b	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
0.0b	(-.f64 (exp.f64 x) 2)
0.0b	(-.f64 (exp.f64 x) 2)
4.1b	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

rewrite17.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64_1101`
9×	`add-log-exp_binary64_1140`
6×	`add-sqr-sqrt_binary64_1123` `cancel-sign-sub-inv_binary64_1067`
4×	`add-cube-cbrt_binary64_1136` `frac-add_binary64_1109` `associate-+l+_binary64_1034`
3×	`flip--_binary64_1076` `flip3--_binary64_1105`
2×	`diff-log_binary64_1193` `distribute-lft-out_binary64_1052` `sum-log_binary64_1192` `add-exp-log_binary64_1139` `pow1_binary64_1162` `sub-neg_binary64_1094` `exp-diff_binary64_1149` `distribute-lft-out--_binary64_1053` `neg-sub0_binary64_1096` `add-cbrt-cube_binary64_1137` `exp-neg_binary64_1148`
1×	`difference-of-squares_binary64_1070` `flip3-+_binary64_1104` `associate-+l-_binary64_1036` `+-commutative_binary64_1031` `flip-+_binary64_1075`

Counts

2 → 39

Calls

4 calls:

9.0ms	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
5.0ms	(-.f64 (exp.f64 x) 2)
0.0ms	(-.f64 (exp.f64 x) 2)
0.0ms	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

series50.0ms (0.1%)

Counts

2 → 12

Calls

2 calls:

31.0ms	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
19.0ms	(-.f64 (exp.f64 x) 2)

Compiler

Compiled 158 to 138 computations (12.7% saved)

simplify78.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4844	726
1	4844	726

prune151.0ms (0.2%)

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	24	27	51
Fresh	0	0	0
Picked	0	0	0
Done	0	1	1
Total	24	28	52

Error

0.0b

Counts

52 → 28

Compiler

Compiled 882 to 564 computations (36.1% saved)

localize14.0ms (0%)

Local error

Found 8 expressions with local error:

0.1b	(*.f64 1/360 (pow.f64 x 6))
0.0b	(*.f64 1/20160 (pow.f64 x 8))
0.0b	(+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))
0.0b	(+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))
0.0b	(+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))
0.0b	(*.f64 1/20160 (pow.f64 x 8))
0.1b	(*.f64 1/360 (pow.f64 x 6))
0.1b	(*.f64 1/12 (pow.f64 x 4))

rewrite37.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64_1123`
21×	`associate-r_binary64_1041`
19×	`add-exp-log_binary64_1139`
13×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
12×	`unpow-prod-down_binary64_1180`
10×	`add-cbrt-cube_binary64_1137`
9×	`add-log-exp_binary64_1140` `prod-exp_binary64_1150` `associate-l_binary64_1042` `unswap-sqr_binary64_1069`
6×	`sqr-pow_binary64_1073`
4×	`pow1_binary64_1162`
3×	`*-commutative_binary64_1032` `pow-exp_binary64_1169` `cbrt-unprod_binary64_1134` `sum-log_binary64_1192` `pow-to-exp_binary64_1170`
1×	`associate-+r+_binary64_1033` `flip3-+_binary64_1104` `+-commutative_binary64_1031` `flip-+_binary64_1075`

Counts

4 → 88

Calls

8 calls:

9.0ms	(*.f64 1/12 (pow.f64 x 4))
8.0ms	(+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))
6.0ms	(*.f64 1/360 (pow.f64 x 6))
5.0ms	(*.f64 1/20160 (pow.f64 x 8))
0.0ms	(+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))

series284.0ms (0.4%)

Counts

4 → 18

Calls

4 calls:

164.0ms	(+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))
46.0ms	(*.f64 1/20160 (pow.f64 x 8))
39.0ms	(*.f64 1/360 (pow.f64 x 6))
35.0ms	(*.f64 1/12 (pow.f64 x 4))

Compiler

Compiled 584 to 485 computations (17% saved)

simplify54.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4914	1288
1	4914	1288

localize2.0ms (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

localize6.0ms (0%)

Local error

Found 4 expressions with local error:

4.3b	(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
0.0b	(+.f64 (exp.f64 (neg.f64 x)) -2)
0.0b	(+.f64 (exp.f64 (neg.f64 x)) -2)
4.3b	(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))

rewrite15.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64_1101` `add-log-exp_binary64_1140`
4×	`distribute-lft-out_binary64_1052` `sum-log_binary64_1192`
2×	`add-sqr-sqrt_binary64_1123` `add-exp-log_binary64_1139` `pow1_binary64_1162` `flip3-+_binary64_1104` `add-cube-cbrt_binary64_1136` `add-cbrt-cube_binary64_1137` `+-commutative_binary64_1031` `flip-+_binary64_1075`
1×	`associate-+r+_binary64_1033`

Counts

2 → 27

Calls

4 calls:

8.0ms	(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
5.0ms	(+.f64 (exp.f64 (neg.f64 x)) -2)
0.0ms	(+.f64 (exp.f64 (neg.f64 x)) -2)
0.0ms	(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))

series49.0ms (0.1%)

Counts

2 → 12

Calls

2 calls:

29.0ms	(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
20.0ms	(+.f64 (exp.f64 (neg.f64 x)) -2)

Compiler

Compiled 157 to 137 computations (12.7% saved)

simplify57.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5222	570

localize8.0ms (0%)

Local error

Found 6 expressions with local error:

4.3b	(log.f64 (exp.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))))
4.1b	(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
0.0b	(-.f64 (exp.f64 x) 2)
0.0b	(-.f64 (exp.f64 x) 2)
4.1b	(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
4.3b	(log.f64 (exp.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))))

rewrite28.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64_1101`
10×	`add-log-exp_binary64_1140`
9×	`add-sqr-sqrt_binary64_1123`
7×	`add-cube-cbrt_binary64_1136`
6×	`log-pow_binary64_1190` `cancel-sign-sub-inv_binary64_1067`
5×	`exp-prod_binary64_1153`
4×	`distribute-lft-out_binary64_1052` `pow1_binary64_1162` `associate-+r+_binary64_1033` `log-prod_binary64_1187` `frac-add_binary64_1109`
3×	`add-exp-log_binary64_1139` `exp-diff_binary64_1149` `distribute-lft-out--_binary64_1053` `flip--_binary64_1076` `flip3--_binary64_1105` `add-cbrt-cube_binary64_1137`
2×	`diff-log_binary64_1193` `sum-log_binary64_1192` `sub-neg_binary64_1094` `associate-+r-_binary64_1035` `neg-sub0_binary64_1096` `exp-neg_binary64_1148`
1×	`exp-sum_binary64_1147` `difference-of-squares_binary64_1070` `rem-log-exp_binary64_1142` `flip3-+_binary64_1104` `+-commutative_binary64_1031` `flip-+_binary64_1075` `log-div_binary64_1188`

Counts

3 → 58

Calls

6 calls:

9.0ms	(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
9.0ms	(log.f64 (exp.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))))
4.0ms	(-.f64 (exp.f64 x) 2)
0.0ms	(-.f64 (exp.f64 x) 2)
0.0ms	(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))

series185.0ms (0.3%)

Counts

3 → 17

Calls

3 calls:

139.0ms	(log.f64 (exp.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))))
30.0ms	(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
16.0ms	(-.f64 (exp.f64 x) 2)

Compiler

Compiled 280 to 250 computations (10.7% saved)

simplify67.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5236	1110

localize13.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 (exp.f64 x) 2)
0.0b	(+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)))
0.0b	(-.f64 (pow.f64 (exp.f64 x) 3) 8)
0.0b	(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 8) (+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))))
0.0b	(+.f64 (exp.f64 x) 2)
0.0b	(*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))
0.1b	(pow.f64 (exp.f64 x) 3)
4.3b	(+.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 8) (+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)))) (exp.f64 (neg.f64 x)))

rewrite44.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64_1101`
12×	`add-sqr-sqrt_binary64_1123`
10×	`add-cube-cbrt_binary64_1136`
8×	`add-log-exp_binary64_1140`
7×	`pow1_binary64_1162` `add-cbrt-cube_binary64_1137`
5×	`add-exp-log_binary64_1139`
4×	`pow-pow_binary64_1173` `associate-r_binary64_1041`
3×	`cube-prod_binary64_1129` `unpow-prod-down_binary64_1180` `distribute-lft-out_binary64_1052` `exp-prod_binary64_1153` `flip3-+_binary64_1104` `pow-unpow_binary64_1178` `flip-+_binary64_1075` `associate-l_binary64_1042`
2×	`sum-log_binary64_1192` `associate-*r/_binary64_1043` `+-commutative_binary64_1031` `frac-add_binary64_1109`
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` `exp-diff_binary64_1149` `distribute-lft-in_binary64_1050` `neg-sub0_binary64_1096` `unpow3_binary64_1167` `associate-+l-_binary64_1036` `pow-prod-down_binary64_1172` `unswap-sqr_binary64_1069` `sqr-pow_binary64_1073` `pow-to-exp_binary64_1170` `distribute-rgt-in_binary64_1051` `exp-neg_binary64_1148` `div-sub_binary64_1106`

Counts

4 → 76

Calls

8 calls:

20.0ms	(+.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 8) (+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)))) (exp.f64 (neg.f64 x)))
9.0ms	(*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))
4.0ms	(+.f64 (exp.f64 x) 2)
3.0ms	(pow.f64 (exp.f64 x) 3)
0.0ms	(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 8) (+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))))

series340.0ms (0.5%)

Counts

4 → 24

Calls

4 calls:

264.0ms	(+.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 8) (+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)))) (exp.f64 (neg.f64 x)))
32.0ms	(pow.f64 (exp.f64 x) 3)
28.0ms	(*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))
16.0ms	(+.f64 (exp.f64 x) 2)

Compiler

Compiled 710 to 562 computations (20.8% saved)

simplify70.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5092	1547

prune3.7s (5.3%)

Pruning

149 alts after pruning (143 fresh and 6 done)

	Pruned	Kept	Total
New	197	123	320
Fresh	2	20	22
Picked	0	0	0
Done	0	6	6
Total	199	149	348

Error

0.0b

Counts

348 → 149

Compiler

Compiled 7906 to 5432 computations (31.3% saved)

localize15.0ms (0%)

Local error

Found 8 expressions with local error:

0.1b	(*.f64 1/360 (pow.f64 x 6))
0.0b	(*.f64 1/8193540096000 (pow.f64 x 24))
0.0b	(+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))
0.0b	(+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))
0.0b	(*.f64 1/8193540096000 (pow.f64 x 24))
0.1b	(*.f64 1/360 (pow.f64 x 6))
0.1b	(*.f64 1/12 (pow.f64 x 4))
4.5b	(cbrt.f64 (*.f64 1/8193540096000 (pow.f64 x 24)))

rewrite27.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64_1123`
21×	`associate-r_binary64_1041`
19×	`add-exp-log_binary64_1139`
13×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
12×	`unpow-prod-down_binary64_1180`
10×	`add-cbrt-cube_binary64_1137`
9×	`prod-exp_binary64_1150` `associate-l_binary64_1042` `unswap-sqr_binary64_1069`
6×	`sqr-pow_binary64_1073`
4×	`add-log-exp_binary64_1140` `pow1_binary64_1162`
3×	`*-commutative_binary64_1032` `pow-exp_binary64_1169` `cbrt-unprod_binary64_1134` `pow-to-exp_binary64_1170`
1×	`pow1/3_binary64_1183` `cbrt-prod_binary64_1132`

Counts

4 → 84

Calls

8 calls:

6.0ms	(*.f64 1/12 (pow.f64 x 4))
6.0ms	(*.f64 1/360 (pow.f64 x 6))
5.0ms	(*.f64 1/8193540096000 (pow.f64 x 24))
3.0ms	(cbrt.f64 (*.f64 1/8193540096000 (pow.f64 x 24)))
0.0ms	(+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))

series178.0ms (0.3%)

Counts

4 → 12

Calls

4 calls:

53.0ms	(cbrt.f64 (*.f64 1/8193540096000 (pow.f64 x 24)))
50.0ms	(*.f64 1/8193540096000 (pow.f64 x 24))
37.0ms	(*.f64 1/12 (pow.f64 x 4))
37.0ms	(*.f64 1/360 (pow.f64 x 6))

Compiler

Compiled 528 to 432 computations (18.2% saved)

simplify71.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4959	885
1	4959	885

localize3.0ms (0%)

Local error

Found 2 expressions with local error:

5.1b	(+.f64 (exp.f64 x) -1)
5.1b	(+.f64 (exp.f64 x) -1)

rewrite5.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`*-un-lft-identity_binary64_1101` `add-log-exp_binary64_1140`
2×	`add-sqr-sqrt_binary64_1123`
1×	`distribute-lft-out_binary64_1052` `sum-log_binary64_1192` `add-exp-log_binary64_1139` `pow1_binary64_1162` `flip3-+_binary64_1104` `add-cube-cbrt_binary64_1136` `add-cbrt-cube_binary64_1137` `+-commutative_binary64_1031` `flip-+_binary64_1075` `difference-of-sqr--1_binary64_1072`

Counts

1 → 13

Calls

2 calls:

4.0ms	(+.f64 (exp.f64 x) -1)
0.0ms	(+.f64 (exp.f64 x) -1)

series14.0ms (0%)

Counts

1 → 4

Calls

1 calls:

14.0ms

(+.f64 (exp.f64 x) -1)

Compiler

Compiled 37 to 34 computations (8.1% saved)

simplify71.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4948	158
1	4948	158

localize19.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 (exp.f64 x) 2)
0.0b	(-.f64 (+.f64 (.f64 x 3) (+.f64 1 (.f64 (.f64 x x) (+.f64 9/2 (.f64 9/2 x))))) 8)
0.0b	(+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)))
0.0b	(/.f64 (-.f64 (+.f64 (.f64 x 3) (+.f64 1 (.f64 (.f64 x x) (+.f64 9/2 (.f64 9/2 x))))) 8) (+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))))
0.0b	(-.f64 (+.f64 (.f64 x 3) (+.f64 1 (.f64 (.f64 x x) (+.f64 9/2 (.f64 9/2 x))))) 8)
0.0b	(*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))
0.2b	(.f64 (.f64 x x) (+.f64 9/2 (*.f64 9/2 x)))
4.1b	(+.f64 (/.f64 (-.f64 (+.f64 (.f64 x 3) (+.f64 1 (.f64 (.f64 x x) (+.f64 9/2 (.f64 9/2 x))))) 8) (+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)))) (exp.f64 (neg.f64 x)))

rewrite57.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-log-exp_binary64_1140`
14×	`*-un-lft-identity_binary64_1101`
13×	`add-sqr-sqrt_binary64_1123`
11×	`pow1_binary64_1162` `add-cbrt-cube_binary64_1137`
10×	`add-exp-log_binary64_1139`
8×	`add-cube-cbrt_binary64_1136`
7×	`associate-r_binary64_1041`
4×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `sum-log_binary64_1192` `associate-r/_binary64_1043` `pow-prod-down_binary64_1172` `associate-l*_binary64_1042`
3×	`diff-log_binary64_1193` `flip3-+_binary64_1104` `flip-+_binary64_1075` `cancel-sign-sub-inv_binary64_1067`
2×	`*-commutative_binary64_1032` `distribute-lft-out_binary64_1052` `distribute-lft-in_binary64_1050` `unswap-sqr_binary64_1069` `frac-add_binary64_1109` `distribute-rgt-in_binary64_1051`
1×	`difference-of-squares_binary64_1070` `sub-neg_binary64_1094` `exp-diff_binary64_1149` `distribute-lft-out--_binary64_1053` `associate--l+_binary64_1038` `flip--_binary64_1076` `flip3--_binary64_1105` `neg-sub0_binary64_1096` `associate-+l-_binary64_1036` `+-commutative_binary64_1031` `exp-neg_binary64_1148` `div-sub_binary64_1106`

Counts

4 → 80

Calls

8 calls:

17.0ms	(+.f64 (/.f64 (-.f64 (+.f64 (.f64 x 3) (+.f64 1 (.f64 (.f64 x x) (+.f64 9/2 (.f64 9/2 x))))) 8) (+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)))) (exp.f64 (neg.f64 x)))
14.0ms	(-.f64 (+.f64 (.f64 x 3) (+.f64 1 (.f64 (.f64 x x) (+.f64 9/2 (.f64 9/2 x))))) 8)
8.0ms	(*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))
8.0ms	(.f64 (.f64 x x) (+.f64 9/2 (*.f64 9/2 x)))
0.0ms	(/.f64 (-.f64 (+.f64 (.f64 x 3) (+.f64 1 (.f64 (.f64 x x) (+.f64 9/2 (.f64 9/2 x))))) 8) (+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))))

series247.0ms (0.4%)

Counts

4 → 23

Calls

4 calls:

134.0ms	(+.f64 (/.f64 (-.f64 (+.f64 (.f64 x 3) (+.f64 1 (.f64 (.f64 x x) (+.f64 9/2 (.f64 9/2 x))))) 8) (+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)))) (exp.f64 (neg.f64 x)))
57.0ms	(.f64 (.f64 x x) (+.f64 9/2 (*.f64 9/2 x)))
30.0ms	(*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))
26.0ms	(-.f64 (+.f64 (.f64 x 3) (+.f64 1 (.f64 (.f64 x x) (+.f64 9/2 (.f64 9/2 x))))) 8)

Compiler

Compiled 929 to 743 computations (20% saved)

simplify70.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4818	2251
1	4818	2251

localize22.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))
0.0b	(.f64 (pow.f64 x 8) (.f64 (+.f64 1/12 (.f64 (.f64 x x) 1/360)) (+.f64 1/12 (.f64 (.f64 x x) 1/360))))
0.0b	(-.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))
0.0b	(-.f64 (pow.f64 x 4) (.f64 (pow.f64 x 8) (.f64 (+.f64 1/12 (.f64 (.f64 x x) 1/360)) (+.f64 1/12 (.f64 (.f64 x x) 1/360)))))
0.1b	(*.f64 1/12 (pow.f64 x 4))
0.1b	(.f64 (.f64 x x) 1/360)
0.1b	(.f64 (.f64 x x) 1/360)
44.6b	(/.f64 (-.f64 (pow.f64 x 4) (.f64 (pow.f64 x 8) (.f64 (+.f64 1/12 (.f64 (.f64 x x) 1/360)) (+.f64 1/12 (.f64 (.f64 x x) 1/360))))) (-.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))))

rewrite48.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64_1123`
21×	`add-exp-log_binary64_1139`
18×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136` `add-cbrt-cube_binary64_1137`
14×	`pow1_binary64_1162`
13×	`associate-r_binary64_1041`
12×	`times-frac_binary64_1107`
9×	`prod-exp_binary64_1150`
7×	`cbrt-unprod_binary64_1134`
6×	`pow-prod-down_binary64_1172`
5×	`associate-l_binary64_1042` `unswap-sqr_binary64_1069`
4×	`unpow-prod-down_binary64_1180` `difference-of-squares_binary64_1070` `add-log-exp_binary64_1140` `associate-/r*_binary64_1045`
3×	`-commutative_binary64_1032` `associate-/l_binary64_1046`
2×	`flip--_binary64_1076` `flip3--_binary64_1105` `associate-/l/_binary64_1048` `associate-/r/_binary64_1047` `sqr-pow_binary64_1073`
1×	`pow-exp_binary64_1169` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `pow-to-exp_binary64_1170` `div-sub_binary64_1106`

Counts

4 → 99

Calls

8 calls:

13.0ms	(/.f64 (-.f64 (pow.f64 x 4) (.f64 (pow.f64 x 8) (.f64 (+.f64 1/12 (.f64 (.f64 x x) 1/360)) (+.f64 1/12 (.f64 (.f64 x x) 1/360))))) (-.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))))
9.0ms	(.f64 (.f64 x x) 1/360)
6.0ms	(.f64 (.f64 x x) 1/360)
6.0ms	(*.f64 1/12 (pow.f64 x 4))
0.0ms	(-.f64 (pow.f64 x 4) (.f64 (pow.f64 x 8) (.f64 (+.f64 1/12 (.f64 (.f64 x x) 1/360)) (+.f64 1/12 (.f64 (.f64 x x) 1/360)))))

series480.0ms (0.7%)

Counts

4 → 18

Calls

4 calls:

379.0ms	(/.f64 (-.f64 (pow.f64 x 4) (.f64 (pow.f64 x 8) (.f64 (+.f64 1/12 (.f64 (.f64 x x) 1/360)) (+.f64 1/12 (.f64 (.f64 x x) 1/360))))) (-.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))))
38.0ms	(*.f64 1/12 (pow.f64 x 4))
33.0ms	(.f64 (.f64 x x) 1/360)
29.0ms	(.f64 (.f64 x x) 1/360)

Compiler

Compiled 1016 to 797 computations (21.6% saved)

simplify58.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5378	3746

localize22.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))
0.0b	(+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))
0.0b	(+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))
0.0b	(.f64 (sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))) (sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))))
0.1b	(*.f64 1/12 (pow.f64 x 4))
0.1b	(*.f64 1/12 (pow.f64 x 4))
28.7b	(sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))))
28.7b	(sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))))

rewrite35.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_1123`
14×	`add-exp-log_binary64_1139` `associate-r_binary64_1041`
12×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
8×	`unpow-prod-down_binary64_1180` `add-cbrt-cube_binary64_1137`
6×	`prod-exp_binary64_1150` `pow1_binary64_1162` `sqrt-prod_binary64_1117` `associate-l_binary64_1042` `unswap-sqr_binary64_1069`
4×	`add-log-exp_binary64_1140` `sqrt-div_binary64_1118` `sqr-pow_binary64_1073`
2×	`*-commutative_binary64_1032` `pow-exp_binary64_1169` `rem-sqrt-square_binary64_1114` `cbrt-unprod_binary64_1134` `sqrt-pow1_binary64_1119` `flip3-+_binary64_1104` `flip-+_binary64_1075` `pow-to-exp_binary64_1170` `pow1/2_binary64_1181`

Counts

4 → 80

Calls

8 calls:

7.0ms	(sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))))
7.0ms	(sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))))
6.0ms	(*.f64 1/12 (pow.f64 x 4))
6.0ms	(*.f64 1/12 (pow.f64 x 4))
0.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))) (sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))))

series220.0ms (0.3%)

Counts

4 → 20

Calls

4 calls:

75.0ms	(sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))))
72.0ms	(sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))))
37.0ms	(*.f64 1/12 (pow.f64 x 4))
36.0ms	(*.f64 1/12 (pow.f64 x 4))

Compiler

Compiled 1222 to 986 computations (19.3% saved)

simplify110.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4945	1664
1	4945	1664

prune14.7s (21.1%)

Pruning

294 alts after pruning (283 fresh and 11 done)

	Pruned	Kept	Total
New	280	153	433
Fresh	8	130	138
Picked	0	0	0
Done	0	11	11
Total	288	294	582

Error

Counts

582 → 294

Compiler

Compiled 22172 to 16115 computations (27.3% saved)

localize22.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(*.f64 (pow.f64 x 8) 1/20160)
0.0b	(*.f64 (pow.f64 x 8) 1/20160)
0.0b	(+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))
0.0b	(+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))
0.1b	(*.f64 1/12 (pow.f64 x 4))
14.4b	(cbrt.f64 (*.f64 (pow.f64 x 8) 1/20160))
14.4b	(cbrt.f64 (*.f64 (pow.f64 x 8) 1/20160))
14.4b	(cbrt.f64 (*.f64 (pow.f64 x 8) 1/20160))

rewrite22.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_1123`
9×	`add-exp-log_binary64_1139`
7×	`-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136` `associate-r*_binary64_1041`
6×	`add-cbrt-cube_binary64_1137`
4×	`unpow-prod-down_binary64_1180` `add-log-exp_binary64_1140` `pow1_binary64_1162`
3×	`pow1/3_binary64_1183` `prod-exp_binary64_1150` `associate-l_binary64_1042` `unswap-sqr_binary64_1069` `cbrt-prod_binary64_1132`
2×	`sqr-pow_binary64_1073`
1×	`*-commutative_binary64_1032` `pow-exp_binary64_1169` `cbrt-unprod_binary64_1134` `pow-to-exp_binary64_1170`

Counts

4 → 52

Calls

8 calls:

6.0ms	(*.f64 1/12 (pow.f64 x 4))
4.0ms	(cbrt.f64 (*.f64 (pow.f64 x 8) 1/20160))
3.0ms	(cbrt.f64 (*.f64 (pow.f64 x 8) 1/20160))
3.0ms	(cbrt.f64 (*.f64 (pow.f64 x 8) 1/20160))
0.0ms	(+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))

series400.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

128.0ms	(cbrt.f64 (*.f64 (pow.f64 x 8) 1/20160))
121.0ms	(cbrt.f64 (*.f64 (pow.f64 x 8) 1/20160))
116.0ms	(cbrt.f64 (*.f64 (pow.f64 x 8) 1/20160))
35.0ms	(*.f64 1/12 (pow.f64 x 4))

Compiler

Compiled 900 to 756 computations (16% saved)

simplify90.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4862	645
1	4862	645

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

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

rewrite5.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_1140`
1×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `sum-log_binary64_1192` `add-exp-log_binary64_1139` `pow1_binary64_1162` `flip3-+_binary64_1104` `add-cube-cbrt_binary64_1136` `add-cbrt-cube_binary64_1137` `+-commutative_binary64_1031` `flip-+_binary64_1075`

Counts

1 → 11

Calls

2 calls:

4.0ms	(+.f64 x (.f64 1/2 (.f64 x x)))
0.0ms	(+.f64 x (.f64 1/2 (.f64 x x)))

series16.0ms (0%)

Counts

1 → 4

Calls

1 calls:

16.0ms

(+.f64 x (*.f64 1/2 (*.f64 x x)))

Compiler

Compiled 39 to 35 computations (10.3% saved)

simplify103.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4895	191
1	4895	191

localize13.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(*.f64 (exp.f64 x) (+.f64 x 3))
0.0b	(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 8) (+.f64 4 (*.f64 (exp.f64 x) (+.f64 x 3))))
0.0b	(+.f64 4 (*.f64 (exp.f64 x) (+.f64 x 3)))
0.0b	(-.f64 (pow.f64 (exp.f64 x) 3) 8)
0.0b	(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 8) (+.f64 4 (*.f64 (exp.f64 x) (+.f64 x 3))))
0.0b	(*.f64 (exp.f64 x) (+.f64 x 3))
0.1b	(pow.f64 (exp.f64 x) 3)
4.6b	(+.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 8) (+.f64 4 (*.f64 (exp.f64 x) (+.f64 x 3)))) (exp.f64 (neg.f64 x)))

rewrite59.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

53×	`add-sqr-sqrt_binary64_1123`
35×	`*-un-lft-identity_binary64_1101`
24×	`times-frac_binary64_1107`
23×	`add-cube-cbrt_binary64_1136`
16×	`difference-of-squares_binary64_1070`
9×	`add-cbrt-cube_binary64_1137`
8×	`associate-/l*_binary64_1046`
7×	`cube-prod_binary64_1129` `unpow-prod-down_binary64_1180` `add-exp-log_binary64_1139` `pow1_binary64_1162`
6×	`add-log-exp_binary64_1140`
5×	`sqr-pow_binary64_1073`
4×	`pow-pow_binary64_1173` `distribute-lft-out--_binary64_1053` `associate-r_binary64_1041`
3×	`exp-prod_binary64_1153` `flip3-+_binary64_1104` `pow-unpow_binary64_1178` `flip-+_binary64_1075` `associate-l_binary64_1042` `associate-/r*_binary64_1045`
2×	`distribute-lft-out_binary64_1052` `associate-/l/_binary64_1048` `associate-*r/_binary64_1043` `associate-/r/_binary64_1047` `frac-add_binary64_1109` `div-sub_binary64_1106`
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` `frac-2neg_binary64_1112` `sum-log_binary64_1192` `exp-diff_binary64_1149` `distribute-lft-in_binary64_1050` `clear-num_binary64_1100` `flip--_binary64_1076` `flip3--_binary64_1105` `neg-sub0_binary64_1096` `div-inv_binary64_1098` `unpow3_binary64_1167` `associate-+l-_binary64_1036` `+-commutative_binary64_1031` `pow-prod-down_binary64_1172` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `unswap-sqr_binary64_1069` `pow-to-exp_binary64_1170` `distribute-rgt-in_binary64_1051` `exp-neg_binary64_1148`

Counts

4 → 116

Calls

8 calls:

19.0ms	(+.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 8) (+.f64 4 (*.f64 (exp.f64 x) (+.f64 x 3)))) (exp.f64 (neg.f64 x)))
15.0ms	(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 8) (+.f64 4 (*.f64 (exp.f64 x) (+.f64 x 3))))
9.0ms	(*.f64 (exp.f64 x) (+.f64 x 3))
4.0ms	(pow.f64 (exp.f64 x) 3)
0.0ms	(-.f64 (pow.f64 (exp.f64 x) 3) 8)

series288.0ms (0.4%)

Counts

4 → 24

Calls

4 calls:

123.0ms	(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 8) (+.f64 4 (*.f64 (exp.f64 x) (+.f64 x 3))))
88.0ms	(+.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 8) (+.f64 4 (*.f64 (exp.f64 x) (+.f64 x 3)))) (exp.f64 (neg.f64 x)))
40.0ms	(pow.f64 (exp.f64 x) 3)
36.0ms	(*.f64 (exp.f64 x) (+.f64 x 3))

Compiler

Compiled 1021 to 790 computations (22.6% saved)

simplify88.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5134	3403

localize26.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(*.f64 1/20160 (pow.f64 x 8))
0.0b	(+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))
0.0b	(+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))
0.0b	(+.f64 (.f64 (neg.f64 (.f64 (pow.f64 x 3) (sqrt.f64 1/360))) (sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))))) (.f64 1/20160 (pow.f64 x 8)))
0.1b	(*.f64 1/360 (pow.f64 x 6))
0.1b	(*.f64 (pow.f64 x 3) (sqrt.f64 1/360))
0.1b	(*.f64 1/12 (pow.f64 x 4))
28.7b	(sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))))

rewrite39.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`add-sqr-sqrt_binary64_1123`
20×	`associate-r_binary64_1041`
19×	`add-exp-log_binary64_1139`
18×	`associate-l_binary64_1042`
16×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
14×	`unswap-sqr_binary64_1069`
13×	`unpow-prod-down_binary64_1180`
10×	`sqrt-prod_binary64_1117` `add-cbrt-cube_binary64_1137`
9×	`prod-exp_binary64_1150`
7×	`sqr-pow_binary64_1073`
5×	`cube-prod_binary64_1129` `pow1_binary64_1162`
4×	`add-log-exp_binary64_1140`
3×	`*-commutative_binary64_1032` `pow-exp_binary64_1169` `cbrt-unprod_binary64_1134` `pow-to-exp_binary64_1170`
2×	`sqrt-div_binary64_1118`
1×	`cube-mult_binary64_1131` `rem-sqrt-square_binary64_1114` `sqrt-pow1_binary64_1119` `flip3-+_binary64_1104` `unpow3_binary64_1167` `flip-+_binary64_1075` `pow1/2_binary64_1181`

Counts

4 → 103

Calls

8 calls:

8.0ms	(*.f64 (pow.f64 x 3) (sqrt.f64 1/360))
7.0ms	(sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))))
6.0ms	(*.f64 1/12 (pow.f64 x 4))
6.0ms	(*.f64 1/360 (pow.f64 x 6))
0.0ms	(+.f64 (.f64 (neg.f64 (.f64 (pow.f64 x 3) (sqrt.f64 1/360))) (sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))))) (.f64 1/20160 (pow.f64 x 8)))

series157.0ms (0.2%)

Counts

4 → 12

Calls

4 calls:

49.0ms	(*.f64 (pow.f64 x 3) (sqrt.f64 1/360))
42.0ms	(*.f64 1/12 (pow.f64 x 4))
39.0ms	(*.f64 1/360 (pow.f64 x 6))
25.0ms	(sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))))

Compiler

Compiled 673 to 568 computations (15.6% saved)

simplify97.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4959	1528
1	4959	1528

localize16.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(sqrt.f64 (pow.f64 (exp.f64 x) 3))
0.0b	(+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)))
0.0b	(-.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 3)) (sqrt.f64 (pow.f64 (exp.f64 x) 3))) 8)
0.0b	(/.f64 (-.f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 3)) (sqrt.f64 (pow.f64 (exp.f64 x) 3))) 8) (+.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))))
0.0b	(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 3)) (sqrt.f64 (pow.f64 (exp.f64 x) 3)))
0.1b	(pow.f64 (exp.f64 x) 3)
0.1b	(pow.f64 (exp.f64 x) 3)
4.3b	(+.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 3)) (sqrt.f64 (pow.f64 (exp.f64 x) 3))) 8) (+.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)))) (exp.f64 (neg.f64 x)))

rewrite69.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

102×	`sqrt-prod_binary64_1117`
86×	`add-sqr-sqrt_binary64_1123`
38×	`cube-prod_binary64_1129` `unpow-prod-down_binary64_1180`
34×	`*-un-lft-identity_binary64_1101`
32×	`add-cube-cbrt_binary64_1136`
25×	`unswap-sqr_binary64_1069`
23×	`swap-sqr_binary64_1068`
18×	`sqr-pow_binary64_1073`
15×	`associate-r_binary64_1041` `associate-l_binary64_1042`
13×	`pow1_binary64_1162`
12×	`rem-sqrt-square_binary64_1114`
8×	`pow-pow_binary64_1173` `add-cbrt-cube_binary64_1137`
6×	`cube-mult_binary64_1131` `add-log-exp_binary64_1140` `add-exp-log_binary64_1139` `sqrt-pow1_binary64_1119` `exp-prod_binary64_1153` `pow-unpow_binary64_1178` `unpow3_binary64_1167` `sqr-abs_binary64_1116` `pow1/2_binary64_1181`
3×	`pow-prod-up_binary64_1171` `pow-sqr_binary64_1074` `pow-prod-down_binary64_1172`
2×	`pow-exp_binary64_1169` `rem-cube-cbrt_binary64_1124` `frac-add_binary64_1109` `pow-to-exp_binary64_1170`
1×	`pow-plus_binary64_1164` `*-commutative_binary64_1032` `cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `distribute-lft-out_binary64_1052` `rem-square-sqrt_binary64_1113` `sum-log_binary64_1192` `exp-diff_binary64_1149` `flip3-+_binary64_1104` `neg-sub0_binary64_1096` `associate-+l-_binary64_1036` `+-commutative_binary64_1031` `flip-+_binary64_1075` `sqrt-unprod_binary64_1121` `pow2_binary64_1182` `exp-neg_binary64_1148` `div-sub_binary64_1106`

Counts

4 → 174

Calls

8 calls:

19.0ms	(+.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 3)) (sqrt.f64 (pow.f64 (exp.f64 x) 3))) 8) (+.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)))) (exp.f64 (neg.f64 x)))
17.0ms	(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 3)) (sqrt.f64 (pow.f64 (exp.f64 x) 3)))
4.0ms	(pow.f64 (exp.f64 x) 3)
3.0ms	(pow.f64 (exp.f64 x) 3)
0.0ms	(/.f64 (-.f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 3)) (sqrt.f64 (pow.f64 (exp.f64 x) 3))) 8) (+.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))))

series392.0ms (0.6%)

Counts

4 → 24

Calls

4 calls:

282.0ms	(+.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 3)) (sqrt.f64 (pow.f64 (exp.f64 x) 3))) 8) (+.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)))) (exp.f64 (neg.f64 x)))
38.0ms	(pow.f64 (exp.f64 x) 3)
36.0ms	(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 3)) (sqrt.f64 (pow.f64 (exp.f64 x) 3)))
36.0ms	(pow.f64 (exp.f64 x) 3)

Compiler

Compiled 840 to 652 computations (22.4% saved)

simplify86.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4908	2695
1	4908	2695

prune22.8s (32.7%)

Pruning

422 alts after pruning (406 fresh and 16 done)

	Pruned	Kept	Total
New	399	133	532
Fresh	5	273	278
Picked	0	0	0
Done	0	16	16
Total	404	422	826

Error

Counts

826 → 422

Compiler

Compiled 9960 to 6801 computations (31.7% saved)

simplify534.0ms (0.8%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5066	40082

regimes1.7s (2.4%)

Compiler: Compiled 19121 to 14805 computations (22.6% saved)

bsearch0.0ms (0%)

regimes93.0ms (0.1%)

Compiler: Compiled 734 to 608 computations (17.2% saved)

bsearch0.0ms (0%)

regimes52.0ms (0.1%)

Compiler: Compiled 377 to 308 computations (18.3% saved)

bsearch0.0ms (0%)

regimes53.0ms (0.1%)

Compiler: Compiled 362 to 296 computations (18.2% saved)

bsearch0.0ms (0%)

regimes18.0ms (0%)

Compiler: Compiled 60 to 54 computations (10% saved)

bsearch0.0ms (0%)

regimes19.0ms (0%)

Compiler: Compiled 51 to 47 computations (7.8% saved)

bsearch0.0ms (0%)

regimes8.0ms (0%)

Compiler: Compiled 6 to 9 computations (-50% saved)

bsearch0.0ms (0%)

regimes8.0ms (0%)

Accuracy

Total 0.6b remaining (99.8%)

Threshold costs 0.6b (99.8%)

Compiler

Compiled 4 to 5 computations (-25% saved)

bsearch6.0ms (0%)

Compiler: Compiled 74 to 60 computations (18.9% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	107
1	31	107

end0.0ms (0%)

sample20.4s (29.3%)

Algorithm

1×

intervals

Results

2.1s	4179×	body	2048	valid
432.0ms	1998×	body	1024	valid
108.0ms	979×	body	512	valid
33.0ms	486×	body	256	valid
14.0ms	358×	body	128	valid

Compiler

Compiled 19358 to 15000 computations (22.5% saved)

Pareto

0.9856711743703913