Details

analyze313.0ms (11.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
25%	62.5%	12.5%	4
25%	56.2%	18.8%	5
28.1%	50%	21.9%	6
29.7%	46.9%	23.5%	7
30.5%	45.3%	24.3%	8
30.8%	44.9%	24.3%	9
31.2%	44.5%	24.3%	10
31.3%	44.4%	24.3%	11
31.4%	44.3%	24.3%	12
31.4%	44.2%	24.3%	13
31.5%	44.2%	24.3%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample27.0ms (1%)

Algorithm

1×

intervals

Results

12.0ms	81×	body	1024	valid
3.0ms	41×	body	512	valid
3.0ms	106×	body	128	valid
2.0ms	13×	body	2048	valid
1.0ms	15×	body	256	valid

Compiler

Compiled 15 to 12 computations (20% saved)

simplify96.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	11
1	10	11

prune2.0ms (0.1%)

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

Merged error: 38.0b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
2.8b	(-.f64 (exp.f64 x) 1)

rewrite15.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`add-sqr-sqrt_binary64_1123`
30×	`*-un-lft-identity_binary64_1101`
21×	`times-frac_binary64_1107`
15×	`add-cube-cbrt_binary64_1136`
10×	`difference-of-squares_binary64_1070`
7×	`associate-/r*_binary64_1045`
5×	`difference-of-sqr-1_binary64_1071` `distribute-lft-out--_binary64_1053`
4×	`add-log-exp_binary64_1140` `add-cbrt-cube_binary64_1137`
3×	`add-exp-log_binary64_1139` `associate-/l*_binary64_1046` `cancel-sign-sub-inv_binary64_1067`
2×	`pow1_binary64_1162` `flip--_binary64_1076` `flip3--_binary64_1105` `associate-/r/_binary64_1047`
1×	`diff-log_binary64_1193` `frac-2neg_binary64_1112` `sub-neg_binary64_1094` `clear-num_binary64_1100` `div-inv_binary64_1098` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135`

Counts

2 → 63

Calls

2 calls:

7.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
4.0ms	(-.f64 (exp.f64 x) 1)

series68.0ms (2.4%)

Counts

2 → 12

Calls

2 calls:

49.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
19.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 164 to 143 computations (12.8% saved)

simplify63.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4961	1213
1	4961	1213

prune74.0ms (2.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	71	4	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	4	76

Merged error: 0.0b

Counts

76 → 4

Compiler

Compiled 1045 to 542 computations (48.1% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (+.f64 1/2 (/.f64 1 x)) (.f64 x 1/12)) (.f64 (pow.f64 x 3) 1/720))
0.0b	(+.f64 (+.f64 1/2 (/.f64 1 x)) (*.f64 x 1/12))
0.1b	(*.f64 (pow.f64 x 3) 1/720)
0.3b	(*.f64 x 1/12)

rewrite37.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_1123`
18×	`add-log-exp_binary64_1140`
15×	`associate-l_binary64_1042`
11×	`add-exp-log_binary64_1139`
10×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
8×	`add-cbrt-cube_binary64_1137`
6×	`sum-log_binary64_1192` `pow1_binary64_1162` `associate-r_binary64_1041`
5×	`unswap-sqr_binary64_1069`
4×	`cube-prod_binary64_1129` `unpow-prod-down_binary64_1180` `prod-exp_binary64_1150`
3×	`diff-log_binary64_1193`
2×	`*-commutative_binary64_1032` `cbrt-unprod_binary64_1134` `sqr-pow_binary64_1073`
1×	`pow-exp_binary64_1169` `cube-mult_binary64_1131` `sub-neg_binary64_1094` `associate--l+_binary64_1038` `flip--_binary64_1076` `flip3--_binary64_1105` `flip3-+_binary64_1104` `unpow3_binary64_1167` `+-commutative_binary64_1031` `pow-prod-down_binary64_1172` `flip-+_binary64_1075` `cancel-sign-sub-inv_binary64_1067` `pow-to-exp_binary64_1170` `associate-+l+_binary64_1034`

Counts

4 → 77

Calls

4 calls:

14.0ms	(-.f64 (+.f64 (+.f64 1/2 (/.f64 1 x)) (.f64 x 1/12)) (.f64 (pow.f64 x 3) 1/720))
8.0ms	(+.f64 (+.f64 1/2 (/.f64 1 x)) (*.f64 x 1/12))
6.0ms	(*.f64 (pow.f64 x 3) 1/720)
4.0ms	(*.f64 x 1/12)

series120.0ms (4.3%)

Counts

4 → 23

Calls

4 calls:

37.0ms	(+.f64 (+.f64 1/2 (/.f64 1 x)) (*.f64 x 1/12))
33.0ms	(*.f64 (pow.f64 x 3) 1/720)
32.0ms	(-.f64 (+.f64 (+.f64 1/2 (/.f64 1 x)) (.f64 x 1/12)) (.f64 (pow.f64 x 3) 1/720))
18.0ms	(*.f64 x 1/12)

Compiler

Compiled 419 to 371 computations (11.5% saved)

simplify71.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4948	1294
1	4948	1294

prune110.0ms (3.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	100	4	104

Merged error: 0.0b

Counts

104 → 4

Compiler

Compiled 1887 to 1506 computations (20.2% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
2.8b	(-.f64 1 (exp.f64 (neg.f64 x)))

rewrite15.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
18×	`times-frac_binary64_1107`
14×	`add-cube-cbrt_binary64_1136`
10×	`difference-of-squares_binary64_1070`
6×	`add-exp-log_binary64_1139` `associate-/r*_binary64_1045`
5×	`distribute-lft-out--_binary64_1053`
4×	`add-log-exp_binary64_1140` `add-cbrt-cube_binary64_1137`
3×	`pow1_binary64_1162` `associate-/l*_binary64_1046` `cancel-sign-sub-inv_binary64_1067`
2×	`flip--_binary64_1076` `flip3--_binary64_1105` `associate-/r/_binary64_1047` `div-exp_binary64_1152`
1×	`inv-pow_binary64_1186` `diff-log_binary64_1193` `1-exp_binary64_1145` `frac-2neg_binary64_1112` `sub-neg_binary64_1094` `clear-num_binary64_1100` `div-inv_binary64_1098` `rec-exp_binary64_1151` `cbrt-undiv_binary64_1135` `pow-flip_binary64_1175`

Counts

2 → 62

Calls

2 calls:

6.0ms	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
5.0ms	(-.f64 1 (exp.f64 (neg.f64 x)))

series67.0ms (2.4%)

Counts

2 → 12

Calls

2 calls:

47.0ms	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
19.0ms	(-.f64 1 (exp.f64 (neg.f64 x)))

Compiler

Compiled 148 to 139 computations (6.1% saved)

simplify106.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4930	1122
1	4930	1122

prune51.0ms (1.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	74	4	78

Merged error: 0.0b

Counts

78 → 4

Compiler

Compiled 950 to 620 computations (34.7% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(cbrt.f64 (-.f64 (exp.f64 x) 1))
2.8b	(-.f64 (exp.f64 x) 1)
2.8b	(-.f64 (exp.f64 x) 1)
2.8b	(-.f64 (exp.f64 x) 1)

rewrite25.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_1123`
20×	`*-un-lft-identity_binary64_1101`
10×	`add-log-exp_binary64_1140`
9×	`cancel-sign-sub-inv_binary64_1067`
8×	`difference-of-squares_binary64_1070` `add-cube-cbrt_binary64_1136`
7×	`cbrt-prod_binary64_1132`
4×	`add-exp-log_binary64_1139` `pow1_binary64_1162` `difference-of-sqr-1_binary64_1071` `distribute-lft-out--_binary64_1053` `flip--_binary64_1076` `flip3--_binary64_1105` `add-cbrt-cube_binary64_1137`
3×	`diff-log_binary64_1193` `sub-neg_binary64_1094`
2×	`cbrt-div_binary64_1133`
1×	`pow1/3_binary64_1183`

Counts

4 → 71

Calls

4 calls:

6.0ms	(-.f64 (exp.f64 x) 1)
4.0ms	(-.f64 (exp.f64 x) 1)
4.0ms	(-.f64 (exp.f64 x) 1)
4.0ms	(cbrt.f64 (-.f64 (exp.f64 x) 1))

series169.0ms (6.1%)

Counts

4 → 24

Calls

4 calls:

103.0ms	(cbrt.f64 (-.f64 (exp.f64 x) 1))
22.0ms	(-.f64 (exp.f64 x) 1)
22.0ms	(-.f64 (exp.f64 x) 1)
22.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 788 to 604 computations (23.4% saved)

simplify79.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4941	1042
1	4941	1042

prune107.0ms (3.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	95	4	99

Merged error: 0.0b

Counts

99 → 4

Compiler

Compiled 2314 to 1446 computations (37.5% saved)

regimes83.0ms (3%)

Compiler: Compiled 758 to 566 computations (25.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	27
1	20	27

end0.0ms (0%)

sample1.1s (38.4%)

Algorithm

1×

intervals

Results

378.0ms	2592×	body	1024	valid
106.0ms	1295×	body	512	valid
80.0ms	3141×	body	128	valid
52.0ms	285×	body	2048	valid
36.0ms	687×	body	256	valid

Compiler

Compiled 243 to 185 computations (23.9% saved)

Details

analyze313.0ms (11.2%)

sample27.0ms (1%)

simplify96.0ms (3.4%)

prune2.0ms (0.1%)

localize4.0ms (0.1%)

rewrite15.0ms (0.5%)

series68.0ms (2.4%)

simplify63.0ms (2.3%)

prune74.0ms (2.7%)

localize9.0ms (0.3%)

rewrite37.0ms (1.3%)

series120.0ms (4.3%)

simplify71.0ms (2.5%)

prune110.0ms (3.9%)

localize5.0ms (0.2%)

rewrite15.0ms (0.5%)

series67.0ms (2.4%)

simplify106.0ms (3.8%)

prune51.0ms (1.8%)

localize7.0ms (0.3%)

rewrite25.0ms (0.9%)

series169.0ms (6.1%)

simplify79.0ms (2.8%)

prune107.0ms (3.8%)

regimes83.0ms (3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.1s (38.4%)

Profiling