Details

analyze1.5s (15.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	14
1	45	14
0	1	1
1	1	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)

sample137.0ms (1.4%)

Algorithm

1×

intervals

Results

79.0ms	128×	body	1024	valid
21.0ms	68×	body	512	valid
13.0ms	16×	body	2048	valid
4.0ms	256×	pre	128	true
4.0ms	27×	body	256	valid
1.0ms	17×	body	128	valid

Compiler

Compiled 25 to 22 computations (12% saved)

simplify8.0ms (0.1%)

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

61.7b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite153.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

61.4b

Rules

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

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))

Compiler

Compiled 989 to 799 computations (19.2% saved)

series185.0ms (1.9%)

Error

0.1b

Counts

3 → 20

Calls

3 calls:

76.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
40.0ms	(log.f64 (-.f64 1 x))
38.0ms	(log.f64 (+.f64 1 x))

Compiler

Compiled 662 to 559 computations (15.6% saved)

simplify104.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4971	1401
1	4971	1401

prune86.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	87	3	90
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	87	4	91

Error

0.0b

Counts

91 → 4

Compiler

Compiled 1066 to 831 computations (22% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite28.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
3×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `add-sqr-sqrt_binary64_441` `associate-l_binary64_360`
2×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
1×	`add-log-exp_binary64_458` `unswap-sqr_binary64_387` `associate-r_binary64_359` `*-commutative_binary64_350`

Counts

1 → 19

Calls

1 calls:

6.0ms

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

Compiler

Compiled 236 to 149 computations (36.9% saved)

series40.0ms (0.4%)

Error

0.0b

Counts

1 → 3

Calls

1 calls:

38.0ms

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

Compiler

Compiled 63 to 56 computations (11.1% saved)

simplify58.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5148	179

prune21.0ms (0.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	22	4	26

Error

0.0b

Counts

26 → 4

Compiler

Compiled 203 to 140 computations (31% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (log.f64 (-.f64 1 x)) (+.f64 x (.f64 (.f64 x x) (-.f64 (.f64 x (-.f64 1/3 (.f64 1/4 x))) 1/2))))
0.0b	(.f64 (.f64 x x) (-.f64 (.f64 x (-.f64 1/3 (.f64 1/4 x))) 1/2))
0.3b	(.f64 x (-.f64 1/3 (.f64 1/4 x)))
3.3b	(log.f64 (-.f64 1 x))

rewrite225.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`add-sqr-sqrt_binary64_441`
22×	`*-un-lft-identity_binary64_419`
19×	`add-cube-cbrt_binary64_454`
16×	`pow1_binary64_480`
14×	`add-exp-log_binary64_457` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368`
13×	`add-cbrt-cube_binary64_455`
12×	`cancel-sign-sub-inv_binary64_385` `times-frac_binary64_425`
8×	`sub-neg_binary64_412` `associate--l+_binary64_356`
6×	`log-prod_binary64_505` `associate-r_binary64_359`
5×	`log-pow_binary64_508`
4×	`flip3--_binary64_423` `log-div_binary64_506` `flip--_binary64_394` `add-log-exp_binary64_458` `pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `associate-r/_binary64_361` `associate-l_binary64_360` `associate-/l_binary64_364`
3×	`associate-/r*_binary64_363`
2×	`difference-of-squares_binary64_388` `unswap-sqr_binary64_387` `*-commutative_binary64_350` `div-sub_binary64_424` `associate-/r/_binary64_365`
1×	`distribute-lft-out--_binary64_371` `rem-log-exp_binary64_460` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `frac-2neg_binary64_430` `clear-num_binary64_418` `div-inv_binary64_416` `flip3-+_binary64_422` `flip-+_binary64_393`

Counts

4 → 113

Calls

4 calls:

13.0ms	(.f64 (.f64 x x) (-.f64 (.f64 x (-.f64 1/3 (.f64 1/4 x))) 1/2))
8.0ms	(/.f64 (log.f64 (-.f64 1 x)) (+.f64 x (.f64 (.f64 x x) (-.f64 (.f64 x (-.f64 1/3 (.f64 1/4 x))) 1/2))))
6.0ms	(.f64 x (-.f64 1/3 (.f64 1/4 x)))
4.0ms	(log.f64 (-.f64 1 x))

Compiler

Compiled 3304 to 2231 computations (32.5% saved)

series292.0ms (3.1%)

Error

0.0b

Counts

4 → 25

Calls

4 calls:

78.0ms	(/.f64 (log.f64 (-.f64 1 x)) (+.f64 x (.f64 (.f64 x x) (-.f64 (.f64 x (-.f64 1/3 (.f64 1/4 x))) 1/2))))
76.0ms	(.f64 x (-.f64 1/3 (.f64 1/4 x)))
63.0ms	(.f64 (.f64 x x) (-.f64 (.f64 x (-.f64 1/3 (.f64 1/4 x))) 1/2))
44.0ms	(log.f64 (-.f64 1 x))

Compiler

Compiled 1123 to 879 computations (21.7% saved)

simplify77.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4915	3225
1	4915	3225

prune158.0ms (1.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	137	1	138
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	138	4	142

Error

0.0b

Counts

142 → 4

Compiler

Compiled 2758 to 1935 computations (29.8% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 (-.f64 (.f64 (.f64 x x) -1/2) x) (.f64 (pow.f64 x 3) (+.f64 1/3 (.f64 x 1/4)))) (+.f64 x (.f64 (.f64 x x) (-.f64 (.f64 x (-.f64 1/3 (.f64 1/4 x))) 1/2))))
0.0b	(.f64 (.f64 x x) (-.f64 (.f64 x (-.f64 1/3 (.f64 1/4 x))) 1/2))
0.1b	(.f64 (pow.f64 x 3) (+.f64 1/3 (.f64 x 1/4)))
0.3b	(.f64 x (-.f64 1/3 (.f64 1/4 x)))

rewrite507.0ms (5.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

31×	`add-sqr-sqrt_binary64_441`
21×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
18×	`add-exp-log_binary64_457`
16×	`associate-l_binary64_360`
15×	`add-cbrt-cube_binary64_455` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368`
12×	`cancel-sign-sub-inv_binary64_385`
11×	`pow1_binary64_480`
10×	`associate-*r/_binary64_361`
9×	`associate-r_binary64_359` `times-frac_binary64_425`
8×	`sub-neg_binary64_412` `associate--l+_binary64_356`
7×	`prod-exp_binary64_468`
6×	`unswap-sqr_binary64_387` `associate-/l/_binary64_366`
5×	`cbrt-unprod_binary64_452` `flip3--_binary64_423` `flip--_binary64_394`
4×	`pow-prod-down_binary64_490` `add-log-exp_binary64_458` `unpow-prod-down_binary64_498` `cube-prod_binary64_447` `flip3-+_binary64_422` `flip-+_binary64_393` `frac-sub_binary64_428`
3×	`-commutative_binary64_350` `associate-/l_binary64_364` `associate-/r*_binary64_363`
2×	`sqr-pow_binary64_391` `associate-/r/_binary64_365`
1×	`pow-to-exp_binary64_488` `pow-exp_binary64_487` `unpow3_binary64_485` `cube-mult_binary64_449` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `frac-2neg_binary64_430` `div-sub_binary64_424` `clear-num_binary64_418` `div-inv_binary64_416`

Counts

4 → 132

Calls

4 calls:

15.0ms	(/.f64 (-.f64 (-.f64 (.f64 (.f64 x x) -1/2) x) (.f64 (pow.f64 x 3) (+.f64 1/3 (.f64 x 1/4)))) (+.f64 x (.f64 (.f64 x x) (-.f64 (.f64 x (-.f64 1/3 (.f64 1/4 x))) 1/2))))
12.0ms	(.f64 (.f64 x x) (-.f64 (.f64 x (-.f64 1/3 (.f64 1/4 x))) 1/2))
8.0ms	(.f64 (pow.f64 x 3) (+.f64 1/3 (.f64 x 1/4)))
6.0ms	(.f64 x (-.f64 1/3 (.f64 1/4 x)))

Compiler

Compiled 5971 to 3921 computations (34.3% saved)

series364.0ms (3.8%)

Error

0.0b

Counts

4 → 25

Calls

4 calls:

118.0ms	(.f64 (pow.f64 x 3) (+.f64 1/3 (.f64 x 1/4)))
75.0ms	(.f64 x (-.f64 1/3 (.f64 1/4 x)))
70.0ms	(/.f64 (-.f64 (-.f64 (.f64 (.f64 x x) -1/2) x) (.f64 (pow.f64 x 3) (+.f64 1/3 (.f64 x 1/4)))) (+.f64 x (.f64 (.f64 x x) (-.f64 (.f64 x (-.f64 1/3 (.f64 1/4 x))) 1/2))))
67.0ms	(.f64 (.f64 x x) (-.f64 (.f64 x (-.f64 1/3 (.f64 1/4 x))) 1/2))

Compiler

Compiled 1262 to 923 computations (26.9% saved)

simplify94.0ms (1%)

Algorithm

1×	egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4922	4340
1	4922	4340

prune353.0ms (3.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	156	1	157
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	157	4	161

Error

0.0b

Counts

161 → 4

Compiler

Compiled 4767 to 3146 computations (34% saved)

regimes515.0ms (5.4%)

Accuracy

Total 0.2b remaining (94.2%)

Threshold costs 0.2b (94.2%)

Compiler

Compiled 6311 to 4772 computations (24.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	81	52
1	81	52

end2.0ms (0%)

Compiler: Compiled 35 to 25 computations (28.6% saved)

sample4.6s (48.1%)

Algorithm

1×

intervals

Results

2.5s	3953×	body	1024	valid
636.0ms	2054×	body	512	valid
347.0ms	412×	body	2048	valid
157.0ms	1013×	body	256	valid
149.0ms	8000×	pre	128	true
38.0ms	568×	body	128	valid

Compiler

Compiled 144 to 115 computations (20.1% saved)

Details

analyze1.5s (15.5%)

sample137.0ms (1.4%)

simplify8.0ms (0.1%)

prune3.0ms (0%)

localize7.0ms (0.1%)

rewrite153.0ms (1.6%)

series185.0ms (1.9%)

simplify104.0ms (1.1%)

prune86.0ms (0.9%)

localize8.0ms (0.1%)

rewrite28.0ms (0.3%)

series40.0ms (0.4%)

simplify58.0ms (0.6%)

prune21.0ms (0.2%)

localize13.0ms (0.1%)

rewrite225.0ms (2.4%)

series292.0ms (3.1%)

simplify77.0ms (0.8%)

prune158.0ms (1.7%)

localize21.0ms (0.2%)

rewrite507.0ms (5.3%)

series364.0ms (3.8%)

simplify94.0ms (1%)

prune353.0ms (3.7%)

regimes515.0ms (5.4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end2.0ms (0%)

sample4.6s (48.1%)

Profiling