Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample116.0ms (1.9%)

Algorithm

1×

intervals

Results

76.0ms	140×	body	1024	valid
20.0ms	65×	body	512	valid
6.0ms	8×	body	2048	valid
4.0ms	28×	body	256	valid
1.0ms	15×	body	128	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify375.0ms (6.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (243.0ms)

Iter	Nodes	Cost
0	5283	12

prune4.0ms (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

Error

59.1b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
5.1b	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

rewrite49.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64_760`
52×	`add-sqr-sqrt_binary64_782`
48×	`times-frac_binary64_766`
30×	`log-prod_binary64_846`
25×	`add-cube-cbrt_binary64_795`
18×	`difference-of-squares_binary64_729`
13×	`distribute-lft-out_binary64_711`
9×	`distribute-lft-out--_binary64_712`
7×	`add-exp-log_binary64_798`
6×	`associate-/l*_binary64_705`
4×	`associate-/r/_binary64_706` `associate-/r*_binary64_704` `add-cbrt-cube_binary64_796`
3×	`pow1_binary64_821`
2×	`flip3-+_binary64_763` `associate-/l/_binary64_707` `add-log-exp_binary64_799` `div-inv_binary64_757` `flip-+_binary64_734` `rem-log-exp_binary64_801` `div-exp_binary64_811`
1×	`log-div_binary64_847` `frac-2neg_binary64_771` `cbrt-undiv_binary64_794` `log-pow_binary64_849` `div-sub_binary64_765` `clear-num_binary64_759` `flip--_binary64_735` `flip3--_binary64_764`

Counts

2 → 92

Calls

2 calls:

17.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
16.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

series71.0ms (1.1%)

Counts

2 → 6

Calls

2 calls:

56.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
14.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))

simplify87.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5713	1892

prune107.0ms (1.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	95	3	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	3	99

Error

Counts

99 → 3

Compiler

Compiled 1551 to 1194 computations (23% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 (pow.f64 eps 3) -2/3) (+.f64 (.f64 2/5 (pow.f64 eps 5)) (+.f64 eps eps)))
0.1b	(*.f64 2/5 (pow.f64 eps 5))
0.1b	(*.f64 (pow.f64 eps 3) -2/3)

rewrite29.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_782`
15×	`associate-l_binary64_701`
13×	`add-exp-log_binary64_798`
12×	`add-log-exp_binary64_799`
11×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
10×	`associate-r_binary64_700`
8×	`unpow-prod-down_binary64_839`
7×	`unswap-sqr_binary64_728` `add-cbrt-cube_binary64_796`
6×	`prod-exp_binary64_809`
4×	`sqr-pow_binary64_732` `cube-prod_binary64_788`
3×	`diff-log_binary64_852` `cancel-sign-sub-inv_binary64_726` `sum-log_binary64_851` `pow1_binary64_821`
2×	`pow-exp_binary64_828` `pow-to-exp_binary64_829` `cbrt-unprod_binary64_793` `*-commutative_binary64_691`
1×	`cube-mult_binary64_790` `unpow3_binary64_826` `associate--r+_binary64_696` `sub-neg_binary64_753` `flip--_binary64_735` `flip3--_binary64_764`

Counts

3 → 73

Calls

3 calls:

12.0ms	(-.f64 (.f64 (pow.f64 eps 3) -2/3) (+.f64 (.f64 2/5 (pow.f64 eps 5)) (+.f64 eps eps)))
6.0ms	(*.f64 (pow.f64 eps 3) -2/3)
6.0ms	(*.f64 2/5 (pow.f64 eps 5))

series97.0ms (1.6%)

Counts

3 → 9

Calls

3 calls:

39.0ms	(*.f64 (pow.f64 eps 3) -2/3)
30.0ms	(-.f64 (.f64 (pow.f64 eps 3) -2/3) (+.f64 (.f64 2/5 (pow.f64 eps 5)) (+.f64 eps eps)))
28.0ms	(*.f64 2/5 (pow.f64 eps 5))

simplify54.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5156	1124

prune142.0ms (2.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	82	3	85

Error

Counts

85 → 3

Compiler

Compiled 1660 to 1162 computations (30% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

5.2b	(log.f64 (-.f64 1 eps))
5.2b	(log.f64 (+.f64 1 eps))

rewrite16.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`log-prod_binary64_846`
9×	`*-un-lft-identity_binary64_760`
7×	`add-sqr-sqrt_binary64_782`
4×	`log-div_binary64_847` `add-exp-log_binary64_798` `add-cube-cbrt_binary64_795` `pow1_binary64_821`
2×	`add-log-exp_binary64_799` `difference-of-squares_binary64_729` `add-cbrt-cube_binary64_796` `log-pow_binary64_849` `rem-log-exp_binary64_801`
1×	`distribute-lft-out_binary64_711` `flip3-+_binary64_763` `flip-+_binary64_734` `distribute-lft-out--_binary64_712` `flip--_binary64_735` `flip3--_binary64_764`

Counts

2 → 32

Calls

2 calls:

7.0ms	(log.f64 (-.f64 1 eps))
6.0ms	(log.f64 (+.f64 1 eps))

series49.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

27.0ms	(log.f64 (-.f64 1 eps))
22.0ms	(log.f64 (+.f64 1 eps))

simplify101.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	5410	460

prune42.0ms (0.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	38	3	41

Error

Counts

41 → 3

Compiler

Compiled 573 to 445 computations (22.3% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (+.f64 1 eps))
4.9b	(log.f64 (cbrt.f64 (+.f64 1 eps)))
5.1b	(log.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (cbrt.f64 (+.f64 1 eps))))
5.2b	(log.f64 (sqrt.f64 (-.f64 1 eps)))

rewrite39.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

88×	`*-un-lft-identity_binary64_760`
85×	`log-prod_binary64_846`
66×	`add-sqr-sqrt_binary64_782`
63×	`times-frac_binary64_766`
48×	`sqrt-prod_binary64_776`
44×	`cbrt-prod_binary64_791`
42×	`add-cube-cbrt_binary64_795`
16×	`difference-of-squares_binary64_729`
11×	`distribute-lft-out_binary64_711`
9×	`add-exp-log_binary64_798`
8×	`distribute-lft-out--_binary64_712` `pow1_binary64_821`
6×	`log-pow_binary64_849` `cbrt-div_binary64_792`
5×	`log-div_binary64_847`
4×	`add-log-exp_binary64_799` `add-cbrt-cube_binary64_796` `rem-log-exp_binary64_801`
3×	`flip3-+_binary64_763` `flip-+_binary64_734`
2×	`pow1/3_binary64_842` `associate-/r/_binary64_706` `sqrt-div_binary64_777`
1×	`sqrt-pow1_binary64_778` `div-inv_binary64_757` `pow1/2_binary64_840` `div-exp_binary64_811` `flip--_binary64_735` `flip3--_binary64_764`

Counts

4 → 135

Calls

4 calls:

11.0ms	(log.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (cbrt.f64 (+.f64 1 eps))))
5.0ms	(log.f64 (sqrt.f64 (-.f64 1 eps)))
4.0ms	(log.f64 (cbrt.f64 (+.f64 1 eps)))
3.0ms	(cbrt.f64 (+.f64 1 eps))

series199.0ms (3.2%)

Counts

4 → 12

Calls

4 calls:

101.0ms	(log.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (cbrt.f64 (+.f64 1 eps))))
35.0ms	(cbrt.f64 (+.f64 1 eps))
34.0ms	(log.f64 (sqrt.f64 (-.f64 1 eps)))
30.0ms	(log.f64 (cbrt.f64 (+.f64 1 eps)))

simplify124.0ms (2%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4880	3672
1	4880	3672

prune447.0ms (7.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	147	3	150

Error

Counts

150 → 3

Compiler

Compiled 4870 to 4026 computations (17.3% saved)

regimes152.0ms (2.5%)

Accuracy

Total 0.2b remaining (93%)

Threshold costs 0.2b (93%)

Compiler

Compiled 1082 to 908 computations (16.1% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	66	22
1	66	22

end0.0ms (0%)

sample3.8s (62%)

Algorithm

1×

intervals

Results

2.0s	4032×	body	1024	valid
553.0ms	1992×	body	512	valid
298.0ms	406×	body	2048	valid
150.0ms	987×	body	256	valid
40.0ms	583×	body	128	valid

Compiler

Compiled 353 to 296 computations (16.1% saved)

Details

analyze4.0ms (0.1%)

sample116.0ms (1.9%)

simplify375.0ms (6.1%)

prune4.0ms (0.1%)

localize10.0ms (0.2%)

rewrite49.0ms (0.8%)

series71.0ms (1.1%)

simplify87.0ms (1.4%)

prune107.0ms (1.7%)

localize9.0ms (0.1%)

rewrite29.0ms (0.5%)

series97.0ms (1.6%)

simplify54.0ms (0.9%)

prune142.0ms (2.3%)

localize6.0ms (0.1%)

rewrite16.0ms (0.3%)

series49.0ms (0.8%)

simplify101.0ms (1.6%)

prune42.0ms (0.7%)

localize19.0ms (0.3%)

rewrite39.0ms (0.6%)

series199.0ms (3.2%)

simplify124.0ms (2%)

prune447.0ms (7.2%)

regimes152.0ms (2.5%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample3.8s (62%)

Profiling