Details

analyze803.0ms (3.8%)

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)

sample29.0ms (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)

simplify205.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5091	23

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

Merged error: 4.6b

Counts

2 → 1

Compiler

Compiled 30 to 24 computations (20% saved)

localize11.0ms (0.1%)

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))))

rewrite36.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`frac-sub_binary64_11881`
13×	`tanh-def-c_binary64_12058` `tanh-def-b_binary64_12057` `tanh-def-a_binary64_12056`
11×	`associate-*r/_binary64_11816`
8×	`add-exp-log_binary64_11907` `add-sqr-sqrt_binary64_11893` `add-cbrt-cube_binary64_11905` `pow1_binary64_11930` `*-un-lft-identity_binary64_11872`
5×	`associate-r_binary64_11814` `add-log-exp_binary64_11908`
4×	`add-cube-cbrt_binary64_11904`
3×	`sub-neg_binary64_11865` `prod-exp_binary64_11918` `pow-prod-down_binary64_11940` `cbrt-unprod_binary64_11902`
2×	`distribute-lft-out--_binary64_11826` `flip--_binary64_11847` `difference-of-squares_binary64_11841` `flip3--_binary64_11876`
1×	`diff-log_binary64_11961` `associate-l_binary64_11815` `distribute-lft-in_binary64_11823` `distribute-rgt-in_binary64_11824` `*-commutative_binary64_11805`

Counts

3 → 65

Calls

3 calls:

15.0ms	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
11.0ms	(-.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:

475.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
406.0ms	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
160.0ms	(tanh.f64 (/.f64 x y))

simplify78.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5015	2454

prune100.0ms (0.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	71	3	74
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	3	75

Merged error: 1.1b

Counts

75 → 3

Compiler

Compiled 2400 to 800 computations (66.7% 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)))))

rewrite48.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`associate-*r/_binary64_11816`
27×	`frac-sub_binary64_11881`
19×	`tanh-def-c_binary64_12058` `tanh-def-b_binary64_12057` `tanh-def-a_binary64_12056`
13×	`add-sqr-sqrt_binary64_11893`
11×	`add-exp-log_binary64_11907` `add-cbrt-cube_binary64_11905` `pow1_binary64_11930` `*-un-lft-identity_binary64_11872`
7×	`sub-neg_binary64_11865` `add-cube-cbrt_binary64_11904`
6×	`associate-l_binary64_11815` `associate-r_binary64_11814` `add-log-exp_binary64_11908`
5×	`distribute-lft-in_binary64_11823` `distribute-rgt-in_binary64_11824`
4×	`prod-exp_binary64_11918` `pow-prod-down_binary64_11940` `cbrt-unprod_binary64_11902`
3×	`flip--_binary64_11847` `flip3--_binary64_11876`
2×	`distribute-lft-out--_binary64_11826` `difference-of-squares_binary64_11841` `*-commutative_binary64_11805`
1×	`diff-log_binary64_11961` `unswap-sqr_binary64_11840`

Counts

4 → 98

Calls

4 calls:

14.0ms	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
12.0ms	(*.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:

527.0ms	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
440.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
409.0ms	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
155.0ms	(tanh.f64 (/.f64 x y))

simplify73.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4981	3522
1	4981	3522

prune141.0ms (0.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	106	4	110
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	107	6	113

Merged error: 1.0b

Counts

113 → 6

Compiler

Compiled 3622 to 1242 computations (65.7% saved)

localize16.0ms (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×	`add-exp-log_binary64_11907` `add-cbrt-cube_binary64_11905` `associate-*r/_binary64_11816` `pow1_binary64_11930`
16×	`add-sqr-sqrt_binary64_11893`
15×	`associate-r_binary64_11814`
12×	`associate-l_binary64_11815` `add-cube-cbrt_binary64_11904` `*-un-lft-identity_binary64_11872`
8×	`prod-exp_binary64_11918` `pow-prod-down_binary64_11940` `cbrt-unprod_binary64_11902`
6×	`distribute-neg-frac_binary64_11838`
4×	`tanh-def-c_binary64_12058` `tanh-def-b_binary64_12057` `tanh-def-a_binary64_12056` `add-log-exp_binary64_11908` `*-commutative_binary64_11805`
3×	`distribute-lft-neg-in_binary64_11831` `distribute-rgt-neg-in_binary64_11832` `distribute-rgt-neg-out_binary64_11834`
2×	`unswap-sqr_binary64_11840`
1×	`neg-mul-1_binary64_11868`

Counts

4 → 93

Calls

4 calls:

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

series724.0ms (3.4%)

Counts

4 → 12

Calls

4 calls:

193.0ms	(*.f64 z (neg.f64 (tanh.f64 (/.f64 x y))))
183.0ms	(*.f64 z (tanh.f64 (/.f64 t y)))
177.0ms	(.f64 y (.f64 z (neg.f64 (tanh.f64 (/.f64 x y)))))
172.0ms	(.f64 y (.f64 z (tanh.f64 (/.f64 t y))))

simplify40.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5070	1346

prune96.0ms (0.5%)

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 2646 to 589 computations (77.7% 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))))

rewrite662.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Rules

1495×	`associate-*r/_binary64_11816`
1080×	`frac-times_binary64_11882`
966×	`tanh-def-c_binary64_12058` `tanh-def-b_binary64_12057` `tanh-def-a_binary64_12056`
900×	`frac-sub_binary64_11881`
360×	`associate-*l/_binary64_11817`
227×	`associate-/l/_binary64_11821`
20×	`add-exp-log_binary64_11907` `add-cbrt-cube_binary64_11905`
13×	`*-un-lft-identity_binary64_11872`
11×	`associate-/r/_binary64_11820` `add-sqr-sqrt_binary64_11893` `pow1_binary64_11930`
9×	`add-cube-cbrt_binary64_11904` `frac-add_binary64_11880`
7×	`sub-neg_binary64_11865` `prod-exp_binary64_11918` `cbrt-unprod_binary64_11902`
6×	`associate-l_binary64_11815` `add-log-exp_binary64_11908`
5×	`distribute-lft-in_binary64_11823` `distribute-rgt-in_binary64_11824` `associate-r_binary64_11814`
4×	`times-frac_binary64_11878` `associate-/r*_binary64_11818` `flip--_binary64_11847` `pow-prod-down_binary64_11940` `flip3--_binary64_11876`
3×	`cbrt-undiv_binary64_11903` `div-exp_binary64_11920`
2×	`difference-of-squares_binary64_11841` `distribute-lft-out_binary64_11825` `*-commutative_binary64_11805`
1×	`div-inv_binary64_11869` `diff-log_binary64_11961` `flip-+_binary64_11846` `unswap-sqr_binary64_11840` `clear-num_binary64_11871` `associate-/l*_binary64_11819` `frac-2neg_binary64_11883` `flip3-+_binary64_11875`

Counts

4 → 997

Calls

4 calls:

93.0ms	(/.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))))
75.0ms	(.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))))))
57.0ms	(.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)))))
26.0ms	(-.f64 (.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 t y))) (.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 x y))))

series7.1s (33.3%)

Counts

4 → 12

Calls

4 calls:

3.4s	(/.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))))
1.7s	(.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)))))
1.1s	(-.f64 (.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 t y))) (.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 x y))))
932.0ms	(.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))))))

simplify713.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

1009 → 1009

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5096	100768

prune6.8s (32.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	1009	0	1009
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	1009	4	1013

Merged error: 0b

Counts

1013 → 4

Compiler

Compiled 105593 to 40858 computations (61.3% 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%)

Algorithm

1×

intervals

Results

415.0ms	7773×	body	128	valid
28.0ms	536×	body	128	invalid
18.0ms	90×	body	1024	valid
12.0ms	85×	body	512	valid
5.0ms	51×	body	256	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 135 to 98 computations (27.4% saved)

Details

analyze803.0ms (3.8%)

sample29.0ms (0.1%)

simplify205.0ms (1%)

prune3.0ms (0%)

localize11.0ms (0.1%)

rewrite36.0ms (0.2%)

series1.0s (4.9%)

simplify78.0ms (0.4%)

prune100.0ms (0.5%)

localize11.0ms (0.1%)

rewrite48.0ms (0.2%)

series1.5s (7.2%)

simplify73.0ms (0.3%)

prune141.0ms (0.7%)

localize16.0ms (0.1%)

rewrite38.0ms (0.2%)

series724.0ms (3.4%)

simplify40.0ms (0.2%)

prune96.0ms (0.5%)

localize16.0ms (0.1%)

rewrite662.0ms (3.1%)

series7.1s (33.3%)

simplify713.0ms (3.4%)

prune6.8s (32.2%)

regimes51.0ms (0.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample858.0ms (4%)

Profiling