Details

analyze1.0s (4.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
7.8%	92%	0.2%	8
7.8%	92%	0.2%	9
10.9%	88.9%	0.2%	10
34.7%	65.1%	0.2%	11
43.1%	56.7%	0.2%	12
44.2%	55.7%	0.2%	13
49.5%	50.3%	0.2%	14

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample26.0ms (0.1%)

Algorithm

1×

intervals

Results

13.0ms	250×	body	128	valid
1.0ms	4×	body	1024	valid
1.0ms	13×	body	128	invalid
0.0ms	2×	body	256	valid

Compiler

Compiled 31 to 29 computations (6.5% saved)

simplify217.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5137	23

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

Merged error: 4.6b

Counts

2 → 1

Compiler

Compiled 30 to 24 computations (20% saved)

localize10.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(tanh.f64 (/.f64 x y))
0.2b	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
4.9b	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

rewrite33.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`frac-sub_binary64_11784`
13×	`tanh-def-a_binary64_11962` `tanh-def-b_binary64_11963` `tanh-def-c_binary64_11964`
11×	`-un-lft-identity_binary64_11775` `associate-r/_binary64_11717` `add-sqr-sqrt_binary64_11797`
9×	`cancel-sign-sub-inv_binary64_11741`
8×	`pow1_binary64_11836` `add-cbrt-cube_binary64_11811` `add-exp-log_binary64_11813`
7×	`add-cube-cbrt_binary64_11810`
5×	`associate-r_binary64_11715` `add-log-exp_binary64_11814`
4×	`distribute-rgt-in_binary64_11725` `distribute-lft-in_binary64_11724`
3×	`pow-prod-down_binary64_11846` `prod-exp_binary64_11824` `cbrt-unprod_binary64_11808` `sub-neg_binary64_11768`
2×	`flip3--_binary64_11779` `flip--_binary64_11750` `distribute-lft-out--_binary64_11727` `difference-of-squares_binary64_11744`
1×	`associate-l_binary64_11716` `*-commutative_binary64_11706` `diff-log_binary64_11867`

Counts

3 → 74

Calls

3 calls:

14.0ms	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
8.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
2.0ms	(tanh.f64 (/.f64 x y))

series1.0s (4.9%)

Counts

3 → 9

Calls

3 calls:

458.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
412.0ms	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
152.0ms	(tanh.f64 (/.f64 x y))

simplify69.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4974	2634
1	4974	2634

prune158.0ms (0.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	80	3	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	3	84

Merged error: 1.1b

Counts

84 → 3

Compiler

Compiled 3559 to 1390 computations (60.9% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(tanh.f64 (/.f64 x y))
0.2b	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
0.7b	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
1.8b	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

rewrite54.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`associate-*r/_binary64_11717`
27×	`frac-sub_binary64_11784`
21×	`cancel-sign-sub-inv_binary64_11741`
20×	`distribute-rgt-in_binary64_11725` `add-sqr-sqrt_binary64_11797` `distribute-lft-in_binary64_11724`
19×	`tanh-def-a_binary64_11962` `tanh-def-b_binary64_11963` `tanh-def-c_binary64_11964`
18×	`*-un-lft-identity_binary64_11775`
14×	`add-cube-cbrt_binary64_11810`
11×	`pow1_binary64_11836` `add-cbrt-cube_binary64_11811` `add-exp-log_binary64_11813`
7×	`sub-neg_binary64_11768`
6×	`associate-l_binary64_11716` `associate-r_binary64_11715` `add-log-exp_binary64_11814`
4×	`pow-prod-down_binary64_11846` `prod-exp_binary64_11824` `cbrt-unprod_binary64_11808`
3×	`flip3--_binary64_11779` `flip--_binary64_11750`
2×	`*-commutative_binary64_11706` `distribute-lft-out--_binary64_11727` `difference-of-squares_binary64_11744`
1×	`diff-log_binary64_11867` `unswap-sqr_binary64_11743`

Counts

4 → 119

Calls

4 calls:

15.0ms	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
13.0ms	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
8.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
2.0ms	(tanh.f64 (/.f64 x y))

series1.5s (7.2%)

Counts

4 → 12

Calls

4 calls:

519.0ms	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
454.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
392.0ms	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
152.0ms	(tanh.f64 (/.f64 x y))

simplify59.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	4978	3978
1	4978	3978

prune211.0ms (1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	127	4	131
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	128	6	134

Merged error: 1.0b

Counts

134 → 6

Compiler

Compiled 5596 to 2109 computations (62.3% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.3b	(*.f64 z (neg.f64 (tanh.f64 (/.f64 x y))))
1.7b	(*.f64 z (tanh.f64 (/.f64 t y)))
4.3b	(.f64 y (.f64 z (neg.f64 (tanh.f64 (/.f64 x y)))))
4.4b	(.f64 y (.f64 z (tanh.f64 (/.f64 t y))))

rewrite38.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`pow1_binary64_11836` `add-cbrt-cube_binary64_11811` `add-exp-log_binary64_11813` `associate-*r/_binary64_11717`
16×	`add-sqr-sqrt_binary64_11797`
15×	`associate-r_binary64_11715`
12×	`associate-l_binary64_11716` `add-cube-cbrt_binary64_11810` `*-un-lft-identity_binary64_11775`
8×	`pow-prod-down_binary64_11846` `prod-exp_binary64_11824` `cbrt-unprod_binary64_11808`
6×	`distribute-neg-frac_binary64_11739`
4×	`tanh-def-a_binary64_11962` `*-commutative_binary64_11706` `tanh-def-b_binary64_11963` `tanh-def-c_binary64_11964` `add-log-exp_binary64_11814`
3×	`distribute-lft-neg-in_binary64_11732` `distribute-rgt-neg-out_binary64_11735` `distribute-rgt-neg-in_binary64_11733`
2×	`unswap-sqr_binary64_11743`
1×	`neg-mul-1_binary64_11771`

Counts

4 → 93

Calls

4 calls:

8.0ms	(*.f64 z (neg.f64 (tanh.f64 (/.f64 x y))))
8.0ms	(.f64 y (.f64 z (neg.f64 (tanh.f64 (/.f64 x y)))))
7.0ms	(.f64 y (.f64 z (tanh.f64 (/.f64 t y))))
6.0ms	(*.f64 z (tanh.f64 (/.f64 t y)))

series704.0ms (3.3%)

Counts

4 → 12

Calls

4 calls:

192.0ms	(*.f64 z (neg.f64 (tanh.f64 (/.f64 x y))))
173.0ms	(*.f64 z (tanh.f64 (/.f64 t y)))
173.0ms	(.f64 y (.f64 z (neg.f64 (tanh.f64 (/.f64 x y)))))
165.0ms	(.f64 y (.f64 z (tanh.f64 (/.f64 t y))))

simplify35.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5070	1346

prune118.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	103	2	105
Fresh	4	1	5
Picked	0	1	1
Done	0	0	0
Total	107	4	111

Merged error: 0b

Counts

111 → 4

Compiler

Compiled 3123 to 859 computations (72.5% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(-.f64 (.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 t y))) (.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 x y))))
2.2b	(.f64 z (-.f64 (.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 t y))) (*.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 x y)))))
3.0b	(.f64 y (.f64 z (-.f64 (.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 t y))) (.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 x y))))))
3.7b	(/.f64 (.f64 y (.f64 z (-.f64 (.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 t y))) (.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 x y)))))) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

rewrite654.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Rules

1495×	`associate-*r/_binary64_11717`
1080×	`frac-times_binary64_11785`
966×	`tanh-def-a_binary64_11962` `tanh-def-b_binary64_11963` `tanh-def-c_binary64_11964`
900×	`frac-sub_binary64_11784`
360×	`associate-*l/_binary64_11718`
227×	`associate-/l/_binary64_11722`
20×	`add-cbrt-cube_binary64_11811` `add-exp-log_binary64_11813`
13×	`*-un-lft-identity_binary64_11775`
11×	`associate-/r/_binary64_11721` `pow1_binary64_11836` `add-sqr-sqrt_binary64_11797`
10×	`distribute-rgt-in_binary64_11725` `distribute-lft-in_binary64_11724`
9×	`add-cube-cbrt_binary64_11810` `frac-add_binary64_11783`
7×	`prod-exp_binary64_11824` `cbrt-unprod_binary64_11808` `sub-neg_binary64_11768` `cancel-sign-sub-inv_binary64_11741`
6×	`associate-l_binary64_11716` `add-log-exp_binary64_11814`
5×	`associate-r_binary64_11715`
4×	`flip3--_binary64_11779` `pow-prod-down_binary64_11846` `flip--_binary64_11750` `associate-/r*_binary64_11719` `times-frac_binary64_11781`
3×	`div-exp_binary64_11826` `cbrt-undiv_binary64_11809`
2×	`*-commutative_binary64_11706` `distribute-lft-out_binary64_11726` `difference-of-squares_binary64_11744`
1×	`flip3-+_binary64_11778` `flip-+_binary64_11749` `clear-num_binary64_11774` `diff-log_binary64_11867` `div-inv_binary64_11772` `frac-2neg_binary64_11786` `unswap-sqr_binary64_11743` `associate-/l*_binary64_11720`

Counts

4 → 1004

Calls

4 calls:

90.0ms	(/.f64 (.f64 y (.f64 z (-.f64 (.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 t y))) (.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 x y)))))) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
72.0ms	(.f64 y (.f64 z (-.f64 (.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 t y))) (.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 x y))))))
53.0ms	(.f64 z (-.f64 (.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 t y))) (*.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 x y)))))
29.0ms	(-.f64 (.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 t y))) (.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 x y))))

series6.9s (32.8%)

Counts

4 → 12

Calls

4 calls:

3.3s	(/.f64 (.f64 y (.f64 z (-.f64 (.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 t y))) (.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 x y)))))) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
1.6s	(.f64 z (-.f64 (.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 t y))) (*.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 x y)))))
1.0s	(-.f64 (.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 t y))) (.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 x y))))
934.0ms	(.f64 y (.f64 z (-.f64 (.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 t y))) (.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 x y))))))

simplify744.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

1016 → 1016

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4863	101024
1	4863	101024

prune6.5s (31%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	1016	0	1016
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	1016	4	1020

Merged error: 0b

Counts

1020 → 4

Compiler

Compiled 105957 to 40920 computations (61.4% saved)

regimes51.0ms (0.2%)

Compiler: Compiled 348 to 252 computations (27.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	62	29
1	62	29

end0.0ms (0%)

sample858.0ms (4.1%)

Algorithm

1×

intervals

Results

410.0ms	7773×	body	128	valid
30.0ms	536×	body	128	invalid
19.0ms	90×	body	1024	valid
12.0ms	85×	body	512	valid
5.0ms	51×	body	256	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 135 to 98 computations (27.4% saved)

Details

analyze1.0s (4.8%)

sample26.0ms (0.1%)

simplify217.0ms (1%)

prune2.0ms (0%)

localize10.0ms (0%)

rewrite33.0ms (0.2%)

series1.0s (4.9%)

simplify69.0ms (0.3%)

prune158.0ms (0.7%)

localize11.0ms (0.1%)

rewrite54.0ms (0.3%)

series1.5s (7.2%)

simplify59.0ms (0.3%)

prune211.0ms (1%)

localize14.0ms (0.1%)

rewrite38.0ms (0.2%)

series704.0ms (3.3%)

simplify35.0ms (0.2%)

prune118.0ms (0.6%)

localize16.0ms (0.1%)

rewrite654.0ms (3.1%)

series6.9s (32.8%)

simplify744.0ms (3.5%)

prune6.5s (31%)

regimes51.0ms (0.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample858.0ms (4.1%)

Profiling