Details

analyze1.3s (16.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
0%	50%	50%	3
0%	50%	50%	4
3.1%	46.8%	50%	5
4.7%	45.3%	50%	6
5.5%	44.5%	50%	7
5.9%	44.1%	50%	8
6%	43.9%	50%	9
6.1%	43.8%	50%	10
6.2%	43.8%	50%	11
6.2%	43.7%	50%	12
6.2%	43.7%	50%	13
6.2%	43.7%	50%	14

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample131.0ms (1.7%)

Algorithm

1×

intervals

Results

82.0ms	130×	body	1024	valid
19.0ms	63×	body	512	valid
12.0ms	14×	body	2048	valid
5.0ms	256×	pre	128	true
5.0ms	29×	body	256	valid
1.0ms	20×	body	128	valid

Compiler

Compiled 25 to 22 computations (12% saved)

simplify112.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	45	14
1	45	14

prune2.0ms (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

61.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
4.6b	(log.f64 (+.f64 1 x))
4.6b	(log.f64 (-.f64 1 x))

rewrite18.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64_760`
18×	`add-sqr-sqrt_binary64_782`
16×	`times-frac_binary64_766`
15×	`add-cube-cbrt_binary64_795` `pow1_binary64_821`
12×	`log-pow_binary64_849`
10×	`log-prod_binary64_846`
7×	`add-exp-log_binary64_798`
6×	`log-div_binary64_847`
5×	`add-cbrt-cube_binary64_796`
4×	`associate-/r_binary64_704` `associate-/l_binary64_705`
3×	`add-log-exp_binary64_799`
2×	`difference-of-squares_binary64_729` `div-sub_binary64_765` `rem-log-exp_binary64_801` `flip--_binary64_735` `flip3--_binary64_764`
1×	`frac-2neg_binary64_771` `cbrt-undiv_binary64_794` `distribute-lft-out_binary64_711` `flip3-+_binary64_763` `div-inv_binary64_757` `flip-+_binary64_734` `distribute-lft-out--_binary64_712` `div-exp_binary64_811` `clear-num_binary64_759`

Counts

3 → 70

Calls

3 calls:

7.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
4.0ms	(log.f64 (-.f64 1 x))
3.0ms	(log.f64 (+.f64 1 x))

series97.0ms (1.3%)

Counts

3 → 19

Calls

3 calls:

49.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
27.0ms	(log.f64 (-.f64 1 x))
22.0ms	(log.f64 (+.f64 1 x))

Compiler

Compiled 342 to 285 computations (16.7% saved)

simplify84.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5160	1405

prune107.0ms (1.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	85	4	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	4	90

Error

0.0b

Counts

90 → 4

Compiler

Compiled 1339 to 1057 computations (21.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 x (+.f64 1/2 (.f64 x 5/12)))
0.0b	(.f64 x (-.f64 -1 (.f64 x (+.f64 1/2 (*.f64 x 5/12)))))
0.3b	(*.f64 x 5/12)

rewrite20.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_782`
9×	`-un-lft-identity_binary64_760` `add-exp-log_binary64_798` `add-cube-cbrt_binary64_795` `add-cbrt-cube_binary64_796` `associate-r_binary64_700` `associate-l*_binary64_701` `pow1_binary64_821`
4×	`associate-*r/_binary64_702`
3×	`unswap-sqr_binary64_728` `prod-exp_binary64_809` `distribute-lft-in_binary64_709` `add-log-exp_binary64_799` `distribute-rgt-in_binary64_710` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831` `*-commutative_binary64_691`
2×	`cancel-sign-sub-inv_binary64_726` `sub-neg_binary64_753`
1×	`flip3-+_binary64_763` `flip-+_binary64_734` `flip--_binary64_735` `flip3--_binary64_764`

Counts

3 → 64

Calls

3 calls:

6.0ms	(.f64 x (-.f64 -1 (.f64 x (+.f64 1/2 (*.f64 x 5/12)))))
6.0ms	(.f64 x (+.f64 1/2 (.f64 x 5/12)))
4.0ms	(*.f64 x 5/12)

series111.0ms (1.4%)

Counts

3 → 14

Calls

3 calls:

52.0ms	(.f64 x (+.f64 1/2 (.f64 x 5/12)))
43.0ms	(.f64 x (-.f64 -1 (.f64 x (+.f64 1/2 (*.f64 x 5/12)))))
15.0ms	(*.f64 x 5/12)

Compiler

Compiled 288 to 254 computations (11.8% saved)

simplify65.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4886	955
1	4886	955

prune74.0ms (1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	78	4	82

Error

0.0b

Counts

82 → 4

Compiler

Compiled 1395 to 1076 computations (22.9% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x))) 3))
0.1b	(pow.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x))) 3)
4.6b	(log.f64 (+.f64 1 x))
4.6b	(log.f64 (-.f64 1 x))

rewrite35.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

64×	`times-frac_binary64_766`
49×	`*-un-lft-identity_binary64_760`
47×	`add-sqr-sqrt_binary64_782`
46×	`cbrt-prod_binary64_791`
44×	`add-cube-cbrt_binary64_795`
40×	`cube-prod_binary64_788` `unpow-prod-down_binary64_839`
39×	`pow1_binary64_821`
34×	`log-pow_binary64_849`
10×	`log-prod_binary64_846`
9×	`add-exp-log_binary64_798`
7×	`add-cbrt-cube_binary64_796`
4×	`log-div_binary64_847` `add-log-exp_binary64_799` `div-inv_binary64_757`
3×	`pow-unpow_binary64_837`
2×	`cube-mult_binary64_790` `unpow3_binary64_826` `pow-exp_binary64_828` `difference-of-squares_binary64_729` `rem-cube-cbrt_binary64_783` `cube-div_binary64_789` `rem-log-exp_binary64_801` `sqr-pow_binary64_732`
1×	`pow1/3_binary64_842` `rem-cbrt-cube_binary64_784` `cbrt-undiv_binary64_794` `distribute-lft-out_binary64_711` `flip3-+_binary64_763` `flip-+_binary64_734` `pow-to-exp_binary64_829` `distribute-lft-out--_binary64_712` `cbrt-div_binary64_792` `div-exp_binary64_811` `flip--_binary64_735` `pow-pow_binary64_832` `flip3--_binary64_764`

Counts

4 → 148

Calls

4 calls:

7.0ms	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x))) 3))
7.0ms	(pow.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x))) 3)
4.0ms	(log.f64 (-.f64 1 x))
3.0ms	(log.f64 (+.f64 1 x))

series195.0ms (2.5%)

Counts

4 → 25

Calls

4 calls:

100.0ms	(pow.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x))) 3)
41.0ms	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x))) 3))
27.0ms	(log.f64 (-.f64 1 x))
26.0ms	(log.f64 (+.f64 1 x))

Compiler

Compiled 592 to 501 computations (15.4% saved)

simplify83.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5004	3545

prune191.0ms (2.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	171	2	173
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	173	4	177

Error

0.0b

Counts

177 → 4

Compiler

Compiled 3065 to 2540 computations (17.1% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (/.f64 (log.f64 (-.f64 1 x)) (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))) 3)
2.9b	(log.f64 (-.f64 1 (*.f64 x x)))
4.6b	(log.f64 (-.f64 1 x))
4.6b	(log.f64 (-.f64 1 x))

rewrite40.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

73×	`*-un-lft-identity_binary64_760`
64×	`times-frac_binary64_766`
57×	`add-sqr-sqrt_binary64_782`
56×	`pow1_binary64_821`
51×	`log-pow_binary64_849`
38×	`cube-prod_binary64_788` `unpow-prod-down_binary64_839`
34×	`add-cube-cbrt_binary64_795` `distribute-lft-out--_binary64_712`
17×	`log-prod_binary64_846`
14×	`difference-of-squares_binary64_729`
10×	`add-exp-log_binary64_798`
7×	`add-cbrt-cube_binary64_796`
6×	`log-div_binary64_847`
5×	`flip--_binary64_735` `flip3--_binary64_764`
4×	`associate-/r/_binary64_706` `add-log-exp_binary64_799`
3×	`rem-log-exp_binary64_801` `pow-unpow_binary64_837`
2×	`pow-exp_binary64_828` `div-inv_binary64_757` `rem-cube-cbrt_binary64_783`
1×	`cube-mult_binary64_790` `cbrt-undiv_binary64_794` `unpow3_binary64_826` `pow-to-exp_binary64_829` `cube-div_binary64_789` `sqr-pow_binary64_732` `div-exp_binary64_811` `pow-pow_binary64_832`

Counts

4 → 146

Calls

4 calls:

12.0ms	(pow.f64 (/.f64 (log.f64 (-.f64 1 x)) (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))) 3)
4.0ms	(log.f64 (-.f64 1 x))
4.0ms	(log.f64 (-.f64 1 x))
3.0ms	(log.f64 (-.f64 1 (*.f64 x x)))

series226.0ms (2.9%)

Counts

4 → 26

Calls

4 calls:

114.0ms	(pow.f64 (/.f64 (log.f64 (-.f64 1 x)) (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))) 3)
54.0ms	(log.f64 (-.f64 1 (*.f64 x x)))
31.0ms	(log.f64 (-.f64 1 x))
27.0ms	(log.f64 (-.f64 1 x))

Compiler

Compiled 836 to 704 computations (15.8% saved)

simplify105.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5756	4928

prune270.0ms (3.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	171	1	172
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	172	4	176

Error

Counts

176 → 4

Compiler

Compiled 4654 to 3490 computations (25% saved)

regimes78.0ms (1%)

Accuracy

Total 0.3b remaining (98.1%)

Threshold costs 0.3b (98.1%)

Compiler

Compiled 675 to 579 computations (14.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	67	19
1	67	19

end0.0ms (0%)

sample4.4s (56.9%)

Algorithm

1×

intervals

Results

2.5s	4056×	body	1024	valid
615.0ms	2004×	body	512	valid
328.0ms	379×	body	2048	valid
152.0ms	982×	body	256	valid
145.0ms	8000×	pre	128	true
38.0ms	579×	body	128	valid

Compiler

Compiled 347 to 295 computations (15% saved)

Details

analyze1.3s (16.3%)

sample131.0ms (1.7%)

simplify112.0ms (1.4%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite18.0ms (0.2%)

series97.0ms (1.3%)

simplify84.0ms (1.1%)

prune107.0ms (1.4%)

localize8.0ms (0.1%)

rewrite20.0ms (0.3%)

series111.0ms (1.4%)

simplify65.0ms (0.8%)

prune74.0ms (1%)

localize9.0ms (0.1%)

rewrite35.0ms (0.4%)

series195.0ms (2.5%)

simplify83.0ms (1.1%)

prune191.0ms (2.5%)

localize11.0ms (0.1%)

rewrite40.0ms (0.5%)

series226.0ms (2.9%)

simplify105.0ms (1.3%)

prune270.0ms (3.5%)

regimes78.0ms (1%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.4s (56.9%)

Profiling