Details

analyze500.0ms (4.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5301	182
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
0%	31.2%	68.8%	7
0%	31.2%	68.8%	8
0%	31.2%	68.8%	9
0%	28.1%	71.9%	10
6.1%	20.4%	73.5%	11
6.1%	20.4%	73.5%	12
7.7%	18.8%	73.5%	13
9.2%	16.6%	74.3%	14

Compiler

Compiled 18 to 17 computations (5.6% saved)

sample49.0ms (0.5%)

Algorithm

1×

intervals

Results

14.0ms	186×	body	128	valid
9.0ms	16×	body	1024	valid
8.0ms	30×	body	512	valid
4.0ms	24×	body	256	valid
0.0ms	6×	body	128	nan
0.0ms	2×	body	128	invalid

Compiler

Compiled 35 to 37 computations (-5.7% saved)

simplify132.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (127.0ms)

Iter	Nodes	Cost
0	5003	26

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

6.9b

Counts

2 → 1

Compiler

Compiled 34 to 32 computations (5.9% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
0.0b	(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
0.1b	(*.f64 (-.f64 x 1) (log.f64 y))
6.7b	(log.f64 (-.f64 1 y))

rewrite193.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

6.5b

Rules

37×	`add-sqr-sqrt_binary64_441`
31×	`*-un-lft-identity_binary64_419`
24×	`log-prod_binary64_505`
14×	`add-cube-cbrt_binary64_454` `associate-l_binary64_360`
11×	`pow1_binary64_480` `difference-of-squares_binary64_388`
9×	`add-exp-log_binary64_457` `add-log-exp_binary64_458` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368`
8×	`add-cbrt-cube_binary64_455` `associate-r_binary64_359`
6×	`distribute-lft-out--_binary64_371`
4×	`flip3--_binary64_423` `flip--_binary64_394` `associate-*l/_binary64_362`
3×	`log-pow_binary64_508` `cancel-sign-sub-inv_binary64_385`
2×	`log-div_binary64_506` `pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387` `difference-of-sqr-1_binary64_389` `*-commutative_binary64_350` `diff-log_binary64_511`
1×	`rem-log-exp_binary64_460` `sum-log_binary64_510` `sub-neg_binary64_412` `associate--l+_binary64_356`

Counts

4 → 103

Calls

4 calls:

12.0ms	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
10.0ms	(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
8.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
6.0ms	(log.f64 (-.f64 1 y))

Compiler

Compiled 2639 to 1790 computations (32.2% saved)

series1.3s (11.9%)

Error

0.1b

Counts

4 → 51

Calls

4 calls:

853.0ms	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
165.0ms	(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
156.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
25.0ms	(log.f64 (-.f64 1 y))

Compiler

Compiled 2547 to 1959 computations (23.1% saved)

simplify56.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5368	2733

prune195.0ms (1.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	148	6	154
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	149	6	155

Error

0.0b

Counts

155 → 6

Compiler

Compiled 3492 to 2288 computations (34.5% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite266.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

30×	`add-sqr-sqrt_binary64_441`
21×	`*-un-lft-identity_binary64_419`
18×	`associate-l_binary64_360`
16×	`pow1_binary64_480`
15×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `add-cube-cbrt_binary64_454`
13×	`associate-r_binary64_359`
8×	`distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368`
7×	`flip3--_binary64_423` `flip--_binary64_394`
6×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `log-prod_binary64_505` `cancel-sign-sub-inv_binary64_385`
4×	`add-log-exp_binary64_458` `unswap-sqr_binary64_387` `-commutative_binary64_350` `associate-l/_binary64_362` `difference-of-squares_binary64_388` `associate-*r/_binary64_361` `frac-times_binary64_429`
2×	`difference-of-sqr-1_binary64_389` `distribute-lft-out--_binary64_371` `sub-neg_binary64_412`
1×	`log-pow_binary64_508` `flip3-+_binary64_422` `flip-+_binary64_393`

Counts

4 → 110

Calls

4 calls:

14.0ms	(.f64 (-.f64 z 1) (-.f64 (.f64 (pow.f64 y 4) -1/4) (+.f64 y (.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y))))))
8.0ms	(.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y)))
8.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
4.0ms	(*.f64 1/3 y)

Compiler

Compiled 4575 to 2992 computations (34.6% saved)

series558.0ms (5.3%)

Error

0.0b

Counts

4 → 32

Calls

4 calls:

260.0ms	(.f64 (-.f64 z 1) (-.f64 (.f64 (pow.f64 y 4) -1/4) (+.f64 y (.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y))))))
160.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
66.0ms	(.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y)))
23.0ms	(*.f64 1/3 y)

Compiler

Compiled 2742 to 2121 computations (22.6% saved)

simplify81.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4969	3041
1	4969	3041

prune250.0ms (2.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	139	3	142
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	142	6	148

Error

0.0b

Counts

148 → 6

Compiler

Compiled 5361 to 3597 computations (32.9% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (-.f64 z 1) (-.f64 (.f64 (pow.f64 y 4) -1/4) (+.f64 y (log.f64 (pow.f64 (exp.f64 (.f64 y y)) (+.f64 (.f64 1/3 y) 1/2))))))
0.1b	(*.f64 (-.f64 x 1) (log.f64 y))
0.3b	(*.f64 1/3 y)
4.7b	(log.f64 (pow.f64 (exp.f64 (.f64 y y)) (+.f64 (.f64 1/3 y) 1/2)))

rewrite273.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

30×	`add-sqr-sqrt_binary64_441`
26×	`*-un-lft-identity_binary64_419`
17×	`associate-l_binary64_360`
16×	`add-cube-cbrt_binary64_454`
14×	`log-prod_binary64_505`
11×	`pow1_binary64_480` `add-exp-log_binary64_457`
10×	`add-cbrt-cube_binary64_455` `associate-r_binary64_359`
8×	`distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368` `cancel-sign-sub-inv_binary64_385`
7×	`flip3--_binary64_423` `flip--_binary64_394`
4×	`add-log-exp_binary64_458` `associate-*l/_binary64_362` `difference-of-squares_binary64_388` `frac-times_binary64_429`
3×	`unpow-prod-down_binary64_498` `rem-log-exp_binary64_460` `pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387` `*-commutative_binary64_350`
2×	`log-pow_binary64_508` `difference-of-sqr-1_binary64_389` `distribute-lft-out--_binary64_371` `sub-neg_binary64_412` `distribute-lft-out_binary64_370` `associate-*r/_binary64_361`
1×	`unpow-prod-up_binary64_497` `sqr-pow_binary64_391` `pow-to-exp_binary64_488` `pow-exp_binary64_487`

Counts

4 → 108

Calls

4 calls:

15.0ms	(.f64 (-.f64 z 1) (-.f64 (.f64 (pow.f64 y 4) -1/4) (+.f64 y (log.f64 (pow.f64 (exp.f64 (.f64 y y)) (+.f64 (.f64 1/3 y) 1/2))))))
7.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
4.0ms	(*.f64 1/3 y)
3.0ms	(log.f64 (pow.f64 (exp.f64 (.f64 y y)) (+.f64 (.f64 1/3 y) 1/2)))

Compiler

Compiled 4797 to 3079 computations (35.8% saved)

series1.0s (9.9%)

Error

0.0b

Counts

4 → 32

Calls

4 calls:

626.0ms	(.f64 (-.f64 z 1) (-.f64 (.f64 (pow.f64 y 4) -1/4) (+.f64 y (log.f64 (pow.f64 (exp.f64 (.f64 y y)) (+.f64 (.f64 1/3 y) 1/2))))))
175.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
173.0ms	(log.f64 (pow.f64 (exp.f64 (.f64 y y)) (+.f64 (.f64 1/3 y) 1/2)))
22.0ms	(*.f64 1/3 y)

Compiler

Compiled 2944 to 2285 computations (22.4% saved)

simplify81.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5056	3037

prune263.0ms (2.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	139	1	140
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	140	6	146

Error

0.0b

Counts

146 → 6

Compiler

Compiled 5394 to 3570 computations (33.8% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (log.f64 (exp.f64 (.f64 y y))) (+.f64 (*.f64 1/3 y) 1/2))
0.1b	(*.f64 (-.f64 x 1) (log.f64 y))
0.3b	(*.f64 1/3 y)
4.7b	(log.f64 (exp.f64 (*.f64 y y)))

rewrite175.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`add-sqr-sqrt_binary64_441`
16×	`-un-lft-identity_binary64_419` `associate-l*_binary64_360`
13×	`pow1_binary64_480` `add-cube-cbrt_binary64_454`
10×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `associate-r_binary64_359`
9×	`log-prod_binary64_505`
7×	`log-pow_binary64_508`
6×	`add-log-exp_binary64_458`
4×	`distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368`
3×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387` `*-commutative_binary64_350`
2×	`exp-to-pow_binary64_481` `exp-prod_binary64_471` `associate-l/_binary64_362` `difference-of-squares_binary64_388` `associate-r/_binary64_361`
1×	`rem-log-exp_binary64_460` `flip3--_binary64_423` `flip--_binary64_394` `difference-of-sqr-1_binary64_389` `distribute-lft-out--_binary64_371` `flip3-+_binary64_422` `flip-+_binary64_393`

Counts

4 → 88

Calls

4 calls:

8.0ms	(.f64 (log.f64 (exp.f64 (.f64 y y))) (+.f64 (*.f64 1/3 y) 1/2))
8.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
4.0ms	(*.f64 1/3 y)
2.0ms	(log.f64 (exp.f64 (*.f64 y y)))

Compiler

Compiled 3404 to 2046 computations (39.9% saved)

series441.0ms (4.2%)

Error

0.0b

Counts

4 → 21

Calls

4 calls:

163.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
151.0ms	(.f64 (log.f64 (exp.f64 (.f64 y y))) (+.f64 (*.f64 1/3 y) 1/2))
79.0ms	(log.f64 (exp.f64 (*.f64 y y)))
19.0ms	(*.f64 1/3 y)

Compiler

Compiled 1858 to 1440 computations (22.5% saved)

simplify66.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5070	1146

prune170.0ms (1.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	109	6	115

Error

0.0b

Counts

115 → 6

Compiler

Compiled 3820 to 2396 computations (37.3% saved)

regimes1.3s (12.1%)

Accuracy

Total 0.2b remaining (88.1%)

Threshold costs 0.2b (88.1%)

Compiler

Compiled 16917 to 14405 computations (14.8% saved)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	315	48
1	315	48

end0.0ms (0%)

sample3.1s (29.7%)

Algorithm

1×

intervals

Results

467.0ms	6092×	body	128	valid
253.0ms	501×	body	1024	valid
221.0ms	804×	body	512	valid
99.0ms	601×	body	256	valid
18.0ms	239×	body	128	nan
2.0ms	32×	body	128	invalid
1.0ms	2×	body	2048	valid

Compiler

Compiled 2089 to 1780 computations (14.8% saved)

Details

analyze500.0ms (4.7%)

sample49.0ms (0.5%)

simplify132.0ms (1.3%)

prune3.0ms (0%)

localize13.0ms (0.1%)

rewrite193.0ms (1.8%)

series1.3s (11.9%)

simplify56.0ms (0.5%)

prune195.0ms (1.9%)

localize20.0ms (0.2%)

rewrite266.0ms (2.5%)

series558.0ms (5.3%)

simplify81.0ms (0.8%)

prune250.0ms (2.4%)

localize22.0ms (0.2%)

rewrite273.0ms (2.6%)

series1.0s (9.9%)

simplify81.0ms (0.8%)

prune263.0ms (2.5%)

localize22.0ms (0.2%)

rewrite175.0ms (1.7%)

series441.0ms (4.2%)

simplify66.0ms (0.6%)

prune170.0ms (1.6%)

regimes1.3s (12.1%)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample3.1s (29.7%)

Profiling