Details

analyze1.4s (17%)

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)

sample128.0ms (1.6%)

Algorithm

1×

intervals

Results

78.0ms	121×	body	1024	valid
17.0ms	53×	body	512	valid
9.0ms	11×	body	2048	valid
7.0ms	46×	body	256	valid
5.0ms	256×	pre	128	true
2.0ms	25×	body	128	valid

Compiler

Compiled 25 to 22 computations (12% saved)

simplify93.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	45	14
1	45	14

prune3.0ms (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

60.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.1%)

Local error

Found 6 expressions with local error:

6.8b	(log.f64 (+.f64 1 x))
6.8b	(log.f64 (-.f64 1 x))
0.0b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
0.0b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
6.8b	(log.f64 (-.f64 1 x))
6.8b	(log.f64 (+.f64 1 x))

rewrite22.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64_419`
18×	`add-sqr-sqrt_binary64_441`
16×	`times-frac_binary64_425`
15×	`add-cube-cbrt_binary64_454` `pow1_binary64_480`
12×	`log-pow_binary64_508`
10×	`log-prod_binary64_505`
7×	`add-exp-log_binary64_457`
6×	`log-div_binary64_506`
5×	`add-cbrt-cube_binary64_455`
4×	`associate-/r_binary64_363` `associate-/l_binary64_364`
3×	`add-log-exp_binary64_458`
2×	`difference-of-squares_binary64_388` `rem-log-exp_binary64_460` `flip3--_binary64_423` `flip--_binary64_394` `div-sub_binary64_424`
1×	`flip3-+_binary64_422` `clear-num_binary64_418` `div-inv_binary64_416` `distribute-lft-out_binary64_370` `distribute-lft-out--_binary64_371` `frac-2neg_binary64_430` `flip-+_binary64_393` `div-exp_binary64_470` `cbrt-undiv_binary64_453`

Counts

3 → 70

Calls

6 calls:

7.0ms	(log.f64 (-.f64 1 x))
7.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
4.0ms	(log.f64 (+.f64 1 x))
0.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
0.0ms	(log.f64 (-.f64 1 x))

series105.0ms (1.3%)

Counts

3 → 20

Calls

3 calls:

50.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
27.0ms	(log.f64 (-.f64 1 x))
27.0ms	(log.f64 (+.f64 1 x))

Compiler

Compiled 405 to 353 computations (12.8% saved)

simplify108.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4971	1401
1	4971	1401

prune130.0ms (1.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	87	3	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	3	91

Error

0.1b

Counts

91 → 3

Compiler

Compiled 1337 to 1042 computations (22.1% saved)

localize8.0ms (0.1%)

Local error

Found 6 expressions with local error:

0.3b	(*.f64 x 5/12)
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)))))
0.0b	(.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)

rewrite21.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_441`
9×	`-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `associate-r_binary64_359` `associate-l*_binary64_360` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
4×	`associate-*r/_binary64_361`
3×	`pow-prod-down_binary64_490` `add-log-exp_binary64_458` `distribute-rgt-in_binary64_369` `unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `distribute-lft-in_binary64_368` `*-commutative_binary64_350`
2×	`sub-neg_binary64_412` `cancel-sign-sub-inv_binary64_385`
1×	`flip3-+_binary64_422` `flip3--_binary64_423` `flip-+_binary64_393` `flip--_binary64_394`

Counts

3 → 64

Calls

6 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)
0.0ms	(.f64 x (-.f64 -1 (.f64 x (+.f64 1/2 (*.f64 x 5/12)))))
0.0ms	(.f64 x (+.f64 1/2 (.f64 x 5/12)))

series108.0ms (1.3%)

Counts

3 → 14

Calls

3 calls:

47.0ms	(.f64 x (+.f64 1/2 (.f64 x 5/12)))
44.0ms	(.f64 x (-.f64 -1 (.f64 x (+.f64 1/2 (*.f64 x 5/12)))))
16.0ms	(*.f64 x 5/12)

Compiler

Compiled 288 to 254 computations (11.8% saved)

simplify66.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4886	955
1	4886	955

prune79.0ms (1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	77	4	81

Error

0.1b

Counts

81 → 4

Compiler

Compiled 1406 to 1084 computations (22.9% saved)

localize13.0ms (0.2%)

Local error

Found 8 expressions with local error:

6.7b	(log.f64 (exp.f64 (.f64 x (-.f64 -1 (.f64 x (+.f64 (*.f64 x 5/12) 1/2))))))
0.3b	(*.f64 x 5/12)
0.0b	(.f64 x (-.f64 -1 (.f64 x (+.f64 (*.f64 x 5/12) 1/2))))
0.0b	(.f64 x (+.f64 (.f64 x 5/12) 1/2))
0.0b	(.f64 x (-.f64 -1 (.f64 x (+.f64 (*.f64 x 5/12) 1/2))))
0.0b	(.f64 x (+.f64 (.f64 x 5/12) 1/2))
0.3b	(*.f64 x 5/12)
6.7b	(log.f64 (exp.f64 (.f64 x (-.f64 -1 (.f64 x (+.f64 (*.f64 x 5/12) 1/2))))))

rewrite26.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_441`
11×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `pow1_binary64_480`
10×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
9×	`associate-r_binary64_359` `associate-l_binary64_360`
7×	`log-prod_binary64_505`
5×	`add-log-exp_binary64_458` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368`
4×	`sub-neg_binary64_412` `associate-*r/_binary64_361` `exp-sum_binary64_465` `cancel-sign-sub-inv_binary64_385`
3×	`pow-prod-down_binary64_490` `unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `log-pow_binary64_508` `*-commutative_binary64_350`
1×	`flip3-+_binary64_422` `rem-log-exp_binary64_460` `exp-to-pow_binary64_481` `exp-prod_binary64_471` `flip3--_binary64_423` `flip-+_binary64_393` `flip--_binary64_394`

Counts

4 → 82

Calls

8 calls:

7.0ms	(.f64 x (+.f64 (.f64 x 5/12) 1/2))
6.0ms	(.f64 x (-.f64 -1 (.f64 x (+.f64 (*.f64 x 5/12) 1/2))))
4.0ms	(*.f64 x 5/12)
3.0ms	(log.f64 (exp.f64 (.f64 x (-.f64 -1 (.f64 x (+.f64 (*.f64 x 5/12) 1/2))))))
0.0ms	(.f64 x (+.f64 (.f64 x 5/12) 1/2))

series279.0ms (3.5%)

Counts

4 → 19

Calls

4 calls:

174.0ms	(log.f64 (exp.f64 (.f64 x (-.f64 -1 (.f64 x (+.f64 (*.f64 x 5/12) 1/2))))))
46.0ms	(.f64 x (+.f64 (.f64 x 5/12) 1/2))
42.0ms	(.f64 x (-.f64 -1 (.f64 x (+.f64 (*.f64 x 5/12) 1/2))))
17.0ms	(*.f64 x 5/12)

Compiler

Compiled 457 to 410 computations (10.3% saved)

simplify57.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4883	1355
1	4883	1355

prune108.0ms (1.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	101	4	105

Error

0.1b

Counts

105 → 4

Compiler

Compiled 1936 to 1519 computations (21.5% saved)

localize9.0ms (0.1%)

Local error

Found 8 expressions with local error:

6.8b	(log.f64 (-.f64 1 x))
3.3b	(log.f64 (-.f64 1 (*.f64 x x)))
0.0b	(/.f64 (log.f64 (-.f64 1 x)) (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x))))
0.0b	(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))
0.0b	(/.f64 (log.f64 (-.f64 1 x)) (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x))))
3.3b	(log.f64 (-.f64 1 (*.f64 x x)))
6.8b	(log.f64 (-.f64 1 x))
6.8b	(log.f64 (-.f64 1 x))

rewrite32.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`*-un-lft-identity_binary64_419`
38×	`add-sqr-sqrt_binary64_441`
36×	`pow1_binary64_480`
32×	`times-frac_binary64_425` `log-pow_binary64_508`
22×	`distribute-lft-out--_binary64_371`
21×	`add-cube-cbrt_binary64_454`
17×	`log-prod_binary64_505`
11×	`difference-of-squares_binary64_388`
9×	`add-exp-log_binary64_457`
8×	`associate-/r*_binary64_363` `log-div_binary64_506`
6×	`add-cbrt-cube_binary64_455`
5×	`flip3--_binary64_423` `flip--_binary64_394`
4×	`add-log-exp_binary64_458` `associate-/l*_binary64_364`
3×	`rem-log-exp_binary64_460`
2×	`associate-/r/_binary64_365` `div-sub_binary64_424`
1×	`clear-num_binary64_418` `div-inv_binary64_416` `frac-2neg_binary64_430` `div-exp_binary64_470` `cbrt-undiv_binary64_453`

Counts

4 → 110

Calls

8 calls:

10.0ms	(/.f64 (log.f64 (-.f64 1 x)) (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x))))
4.0ms	(log.f64 (-.f64 1 x))
4.0ms	(log.f64 (-.f64 1 x))
3.0ms	(log.f64 (-.f64 1 (*.f64 x x)))
0.0ms	(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))

series186.0ms (2.3%)

Counts

4 → 26

Calls

4 calls:

62.0ms	(/.f64 (log.f64 (-.f64 1 x)) (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x))))
58.0ms	(log.f64 (-.f64 1 (*.f64 x x)))
35.0ms	(log.f64 (-.f64 1 x))
31.0ms	(log.f64 (-.f64 1 x))

Compiler

Compiled 719 to 607 computations (15.6% saved)

simplify89.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5201	3112

prune172.0ms (2.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	134	2	136
Fresh	0	1	1
Picked	1	0	1
Done	1	1	2
Total	136	4	140

Error

0.0b

Counts

140 → 4

Compiler

Compiled 3135 to 2240 computations (28.5% saved)

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	318	546
1	318	546

regimes46.0ms (0.6%)

Compiler: Compiled 356 to 299 computations (16% saved)

bsearch0.0ms (0%)

regimes9.0ms (0.1%)

Compiler: Compiled 17 to 18 computations (-5.9% saved)

bsearch0.0ms (0%)

regimes8.0ms (0.1%)

Compiler: Compiled 8 to 11 computations (-37.5% saved)

bsearch0.0ms (0%)

regimes9.0ms (0.1%)

Compiler: Compiled 5 to 8 computations (-60% saved)

bsearch0.0ms (0%)

regimes7.0ms (0.1%)

Accuracy

Total 0.3b remaining (98.6%)

Threshold costs 0.3b (98.6%)

Compiler

Compiled 4 to 6 computations (-50% saved)

bsearch3.0ms (0%)

Compiler: Compiled 28 to 27 computations (3.6% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	96	39
1	96	39

end0.0ms (0%)

sample4.7s (58.6%)

Algorithm

1×

intervals

Results

2.6s	3998×	body	1024	valid
633.0ms	1991×	body	512	valid
353.0ms	407×	body	2048	valid
164.0ms	1019×	body	256	valid
162.0ms	8000×	pre	128	true
42.0ms	585×	body	128	valid

Compiler

Compiled 414 to 351 computations (15.2% saved)

Pareto

0.8280558159477401

Details

analyze1.4s (17%)

sample128.0ms (1.6%)

simplify93.0ms (1.2%)

prune3.0ms (0%)

localize7.0ms (0.1%)

rewrite22.0ms (0.3%)

series105.0ms (1.3%)

simplify108.0ms (1.4%)

prune130.0ms (1.6%)

localize8.0ms (0.1%)

rewrite21.0ms (0.3%)

series108.0ms (1.3%)

simplify66.0ms (0.8%)

prune79.0ms (1%)

localize13.0ms (0.2%)

rewrite26.0ms (0.3%)

series279.0ms (3.5%)

simplify57.0ms (0.7%)

prune108.0ms (1.4%)

localize9.0ms (0.1%)

rewrite32.0ms (0.4%)

series186.0ms (2.3%)

simplify89.0ms (1.1%)

prune172.0ms (2.2%)

simplify15.0ms (0.2%)

regimes46.0ms (0.6%)

bsearch0.0ms (0%)

regimes9.0ms (0.1%)

bsearch0.0ms (0%)

regimes8.0ms (0.1%)

bsearch0.0ms (0%)

regimes9.0ms (0.1%)

bsearch0.0ms (0%)

regimes7.0ms (0.1%)

bsearch3.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.7s (58.6%)

Profiling