Details

analyze818.0ms (8.3%)

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 (0.3%)

Algorithm

1×

intervals

Results

13.0ms	248×	body	128	valid
1.0ms	17×	body	128	invalid
1.0ms	3×	body	1024	valid
1.0ms	4×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 31 to 29 computations (6.5% saved)

simplify201.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (36.0ms)

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: 4.5b

Counts

2 → 1

Compiler

Compiled 30 to 24 computations (20% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(tanh.f64 (/.f64 t y))
0.0b	(tanh.f64 (/.f64 x y))
0.0b	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
5.1b	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

rewrite37.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`frac-sub_binary64_9859`
14×	`tanh-def-c_binary64_10036` `tanh-def-b_binary64_10035` `tanh-def-a_binary64_10034`
11×	`associate-*r/_binary64_9794`
9×	`pow1_binary64_9908` `add-sqr-sqrt_binary64_9871` `add-exp-log_binary64_9885` `*-un-lft-identity_binary64_9850` `add-cbrt-cube_binary64_9883`
6×	`add-log-exp_binary64_9886`
5×	`associate-r_binary64_9792` `add-cube-cbrt_binary64_9882`
3×	`prod-exp_binary64_9896` `sub-neg_binary64_9843` `pow-prod-down_binary64_9918` `cbrt-unprod_binary64_9880`
2×	`flip--_binary64_9825` `distribute-lft-out--_binary64_9804` `flip3--_binary64_9854` `difference-of-squares_binary64_9819`
1×	`-commutative_binary64_9783` `distribute-lft-in_binary64_9801` `diff-log_binary64_9939` `distribute-rgt-in_binary64_9802` `associate-l*_binary64_9793`

Counts

4 → 75

Calls

4 calls:

14.0ms	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
10.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
2.0ms	(tanh.f64 (/.f64 x y))
2.0ms	(tanh.f64 (/.f64 t y))

series1.2s (12%)

Counts

4 → 12

Calls

4 calls:

482.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
400.0ms	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
156.0ms	(tanh.f64 (/.f64 x y))
141.0ms	(tanh.f64 (/.f64 t y))

simplify64.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4996	2622
1	4996	2622

prune119.0ms (1.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	82	5	87
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	82	6	88

Merged error: 1.4b

Counts

88 → 6

Compiler

Compiled 2745 to 905 computations (67% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(tanh.f64 (/.f64 x y))
0.0b	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
1.0b	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
4.7b	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

rewrite47.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`associate-*r/_binary64_9794`
27×	`frac-sub_binary64_9859`
19×	`tanh-def-c_binary64_10036` `tanh-def-b_binary64_10035` `tanh-def-a_binary64_10034`
13×	`add-sqr-sqrt_binary64_9871`
11×	`pow1_binary64_9908` `add-exp-log_binary64_9885` `*-un-lft-identity_binary64_9850` `add-cbrt-cube_binary64_9883`
7×	`add-cube-cbrt_binary64_9882` `sub-neg_binary64_9843`
6×	`associate-r_binary64_9792` `associate-l_binary64_9793` `add-log-exp_binary64_9886`
5×	`distribute-lft-in_binary64_9801` `distribute-rgt-in_binary64_9802`
4×	`prod-exp_binary64_9896` `pow-prod-down_binary64_9918` `cbrt-unprod_binary64_9880`
3×	`flip--_binary64_9825` `flip3--_binary64_9854`
2×	`*-commutative_binary64_9783` `distribute-lft-out--_binary64_9804` `difference-of-squares_binary64_9819`
1×	`unswap-sqr_binary64_9818` `diff-log_binary64_9939`

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))))
7.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
2.0ms	(tanh.f64 (/.f64 x y))

series1.6s (15.8%)

Counts

4 → 12

Calls

4 calls:

532.0ms	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
451.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
412.0ms	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
158.0ms	(tanh.f64 (/.f64 x y))

simplify69.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4981	3522
1	4981	3522

prune138.0ms (1.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	107	3	110
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	108	8	116

Merged error: 1.4b

Counts

116 → 8

Compiler

Compiled 3631 to 1243 computations (65.8% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 z)
0.6b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.8b	(.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (cbrt.f64 z)))
4.7b	(.f64 y (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (cbrt.f64 z))))

rewrite64.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`pow1_binary64_9908`
36×	`add-exp-log_binary64_9885`
33×	`associate-*r/_binary64_9794`
23×	`pow-prod-down_binary64_9918`
22×	`prod-exp_binary64_9896` `add-sqr-sqrt_binary64_9871` `associate-*l/_binary64_9795` `cbrt-unprod_binary64_9880` `add-cbrt-cube_binary64_9883`
19×	`cbrt-prod_binary64_9878`
18×	`frac-sub_binary64_9859`
14×	`add-cube-cbrt_binary64_9882` `*-un-lft-identity_binary64_9850`
12×	`tanh-def-c_binary64_10036` `tanh-def-b_binary64_10035` `tanh-def-a_binary64_10034`
10×	`associate-l_binary64_9793`
8×	`associate-r_binary64_9792`
7×	`pow1/3_binary64_9929`
6×	`swap-sqr_binary64_9817`
4×	`unswap-sqr_binary64_9818` `add-log-exp_binary64_9886`
3×	`*-commutative_binary64_9783`
2×	`flip--_binary64_9825` `pow-sqr_binary64_9823` `flip3--_binary64_9854` `pow-prod-up_binary64_9917`
1×	`pow2_binary64_9928` `pow-plus_binary64_9910`

Counts

4 → 122

Calls

4 calls:

22.0ms	(.f64 y (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (cbrt.f64 z))))
18.0ms	(.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (cbrt.f64 z)))
6.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms	(cbrt.f64 z)

series1.4s (14.3%)

Counts

4 → 12

Calls

4 calls:

569.0ms	(.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (cbrt.f64 z)))
495.0ms	(.f64 y (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (cbrt.f64 z))))
176.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
166.0ms	(cbrt.f64 z)

simplify91.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4933	2719
1	4933	2719

prune138.0ms (1.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	134	8	142

Merged error: 1.4b

Counts

142 → 8

Compiler

Compiled 3887 to 1116 computations (71.3% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
1.0b	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
2.4b	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (cbrt.f64 y)))
2.6b	(.f64 (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (cbrt.f64 y))

rewrite71.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`associate-*r/_binary64_9794`
32×	`pow1_binary64_9908` `add-exp-log_binary64_9885`
27×	`frac-sub_binary64_9859`
22×	`associate-*l/_binary64_9795`
20×	`add-cbrt-cube_binary64_9883`
19×	`prod-exp_binary64_9896` `pow-prod-down_binary64_9918` `cbrt-unprod_binary64_9880`
18×	`tanh-def-c_binary64_10036` `tanh-def-b_binary64_10035` `tanh-def-a_binary64_10034`
13×	`add-sqr-sqrt_binary64_9871`
12×	`associate-r_binary64_9792`
11×	`*-un-lft-identity_binary64_9850`
9×	`add-cube-cbrt_binary64_9882`
6×	`cbrt-prod_binary64_9878`
5×	`associate-l_binary64_9793`
4×	`add-log-exp_binary64_9886`
3×	`flip--_binary64_9825` `*-commutative_binary64_9783` `flip3--_binary64_9854`
2×	`sub-neg_binary64_9843`
1×	`unswap-sqr_binary64_9818` `distribute-lft-out--_binary64_9804` `distribute-lft-in_binary64_9801` `pow1/3_binary64_9929` `distribute-rgt-in_binary64_9802` `difference-of-squares_binary64_9819`

Counts

4 → 115

Calls

4 calls:

24.0ms	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (cbrt.f64 y)))
15.0ms	(.f64 (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (cbrt.f64 y))
12.0ms	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
1.0ms	(cbrt.f64 y)

series1.8s (18.8%)

Counts

4 → 12

Calls

4 calls:

729.0ms	(.f64 (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (cbrt.f64 y))
506.0ms	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
469.0ms	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (cbrt.f64 y)))
140.0ms	(cbrt.f64 y)

simplify94.0ms (1%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4973	3613
1	4973	3613

prune152.0ms (1.5%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	126	9	135

Merged error: 1.2b

Counts

135 → 9

Compiler

Compiled 4300 to 1207 computations (71.9% saved)

regimes313.0ms (3.2%)

Compiler: Compiled 3838 to 2376 computations (38.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	23
1	26	23

end0.0ms (0%)

sample1.3s (13.7%)

Algorithm

1×

intervals

Results

402.0ms	7775×	body	128	valid
27.0ms	538×	body	128	invalid
16.0ms	80×	body	1024	valid
13.0ms	91×	body	512	valid
5.0ms	53×	body	256	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 806 to 505 computations (37.3% saved)

Details

analyze818.0ms (8.3%)

sample26.0ms (0.3%)

simplify201.0ms (2%)

prune3.0ms (0%)

localize11.0ms (0.1%)

rewrite37.0ms (0.4%)

series1.2s (12%)

simplify64.0ms (0.6%)

prune119.0ms (1.2%)

localize11.0ms (0.1%)

rewrite47.0ms (0.5%)

series1.6s (15.8%)

simplify69.0ms (0.7%)

prune138.0ms (1.4%)

localize15.0ms (0.2%)

rewrite64.0ms (0.7%)

series1.4s (14.3%)

simplify91.0ms (0.9%)

prune138.0ms (1.4%)

localize15.0ms (0.1%)

rewrite71.0ms (0.7%)

series1.8s (18.8%)

simplify94.0ms (1%)

prune152.0ms (1.5%)

regimes313.0ms (3.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.3s (13.7%)

Profiling