Details

analyze788.0ms (8.1%)

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)

sample24.0ms (0.2%)

Algorithm

1×

intervals

Results

12.0ms	248×	body	128	valid
1.0ms	17×	body	128	invalid
1.0ms	4×	body	512	valid
1.0ms	3×	body	1024	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 31 to 29 computations (6.5% saved)

simplify213.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5137	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))))

rewrite38.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`frac-sub_binary64_8688`
14×	`tanh-def-c_binary64_8868` `tanh-def-b_binary64_8867` `tanh-def-a_binary64_8866`
12×	`add-sqr-sqrt_binary64_8701` `*-un-lft-identity_binary64_8679`
11×	`associate-*r/_binary64_8621`
9×	`add-cbrt-cube_binary64_8715` `add-exp-log_binary64_8717` `pow1_binary64_8740` `cancel-sign-sub-inv_binary64_8645`
8×	`add-cube-cbrt_binary64_8714`
6×	`add-log-exp_binary64_8718`
5×	`associate-r_binary64_8619`
4×	`distribute-lft-in_binary64_8628` `distribute-rgt-in_binary64_8629`
3×	`prod-exp_binary64_8728` `sub-neg_binary64_8672` `pow-prod-down_binary64_8750` `cbrt-unprod_binary64_8712`
2×	`distribute-lft-out--_binary64_8631` `difference-of-squares_binary64_8648` `flip3--_binary64_8683` `flip--_binary64_8654`
1×	`associate-l_binary64_8620` `*-commutative_binary64_8610` `diff-log_binary64_8771`

Counts

4 → 84

Calls

4 calls:

15.0ms	(.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))
2.0ms	(tanh.f64 (/.f64 t y))

series1.2s (12.1%)

Counts

4 → 12

Calls

4 calls:

464.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
411.0ms	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
155.0ms	(tanh.f64 (/.f64 t y))
144.0ms	(tanh.f64 (/.f64 x y))

simplify69.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5043	2820

prune244.0ms (2.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	91	5	96
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	91	6	97

Merged error: 1.4b

Counts

97 → 6

Compiler

Compiled 5532 to 2321 computations (58% 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)))))

rewrite58.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`associate-*r/_binary64_8621`
27×	`frac-sub_binary64_8688`
21×	`cancel-sign-sub-inv_binary64_8645`
20×	`distribute-lft-in_binary64_8628` `add-sqr-sqrt_binary64_8701` `distribute-rgt-in_binary64_8629`
19×	`tanh-def-c_binary64_8868` `tanh-def-b_binary64_8867` `tanh-def-a_binary64_8866`
18×	`*-un-lft-identity_binary64_8679`
14×	`add-cube-cbrt_binary64_8714`
11×	`add-cbrt-cube_binary64_8715` `add-exp-log_binary64_8717` `pow1_binary64_8740`
7×	`sub-neg_binary64_8672`
6×	`associate-l_binary64_8620` `add-log-exp_binary64_8718` `associate-r_binary64_8619`
4×	`prod-exp_binary64_8728` `pow-prod-down_binary64_8750` `cbrt-unprod_binary64_8712`
3×	`flip3--_binary64_8683` `flip--_binary64_8654`
2×	`distribute-lft-out--_binary64_8631` `difference-of-squares_binary64_8648` `*-commutative_binary64_8610`
1×	`unswap-sqr_binary64_8647` `diff-log_binary64_8771`

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))

series1.6s (16.1%)

Counts

4 → 12

Calls

4 calls:

533.0ms	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
461.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
403.0ms	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
168.0ms	(tanh.f64 (/.f64 x y))

simplify63.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	4978	3978
1	4978	3978

prune246.0ms (2.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	128	3	131
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	129	8	137

Merged error: 1.4b

Counts

137 → 8

Compiler

Compiled 5981 to 2288 computations (61.7% saved)

localize16.0ms (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))))

rewrite73.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`pow1_binary64_8740`
36×	`add-exp-log_binary64_8717`
33×	`associate-*r/_binary64_8621`
23×	`pow-prod-down_binary64_8750`
22×	`add-cbrt-cube_binary64_8715` `prod-exp_binary64_8728` `cbrt-unprod_binary64_8712` `add-sqr-sqrt_binary64_8701` `associate-*l/_binary64_8622`
19×	`cbrt-prod_binary64_8710`
18×	`frac-sub_binary64_8688`
14×	`add-cube-cbrt_binary64_8714` `*-un-lft-identity_binary64_8679`
12×	`tanh-def-c_binary64_8868` `tanh-def-b_binary64_8867` `tanh-def-a_binary64_8866`
10×	`associate-l_binary64_8620`
8×	`associate-r_binary64_8619`
7×	`pow1/3_binary64_8761`
6×	`swap-sqr_binary64_8646`
4×	`unswap-sqr_binary64_8647` `add-log-exp_binary64_8718`
3×	`*-commutative_binary64_8610`
2×	`flip3--_binary64_8683` `pow-prod-up_binary64_8749` `pow-sqr_binary64_8652` `flip--_binary64_8654`
1×	`pow2_binary64_8760` `pow-plus_binary64_8742`

Counts

4 → 122

Calls

4 calls:

24.0ms	(.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))))
20.0ms	(.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (cbrt.f64 z)))
7.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms	(cbrt.f64 z)

series1.4s (14.6%)

Counts

4 → 12

Calls

4 calls:

573.0ms	(.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (cbrt.f64 z)))
496.0ms	(.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))))
185.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
160.0ms	(cbrt.f64 z)

simplify78.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4948	2717
1	4948	2717

prune165.0ms (1.7%)

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 4350 to 1380 computations (68.3% saved)

localize15.0ms (0.2%)

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))

rewrite72.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`associate-*r/_binary64_8621`
32×	`add-exp-log_binary64_8717` `pow1_binary64_8740`
27×	`frac-sub_binary64_8688`
22×	`associate-*l/_binary64_8622`
20×	`add-cbrt-cube_binary64_8715`
19×	`prod-exp_binary64_8728` `pow-prod-down_binary64_8750` `cbrt-unprod_binary64_8712`
18×	`tanh-def-c_binary64_8868` `tanh-def-b_binary64_8867` `tanh-def-a_binary64_8866`
15×	`add-sqr-sqrt_binary64_8701`
13×	`*-un-lft-identity_binary64_8679`
12×	`associate-r_binary64_8619`
11×	`add-cube-cbrt_binary64_8714`
6×	`cbrt-prod_binary64_8710` `cancel-sign-sub-inv_binary64_8645`
5×	`associate-l_binary64_8620`
4×	`distribute-lft-in_binary64_8628` `add-log-exp_binary64_8718` `distribute-rgt-in_binary64_8629`
3×	`flip3--_binary64_8683` `*-commutative_binary64_8610` `flip--_binary64_8654`
2×	`sub-neg_binary64_8672`
1×	`distribute-lft-out--_binary64_8631` `difference-of-squares_binary64_8648` `unswap-sqr_binary64_8647` `pow1/3_binary64_8761`

Counts

4 → 121

Calls

4 calls:

23.0ms	(.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)))
16.0ms	(.f64 (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (cbrt.f64 y))
14.0ms	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
1.0ms	(cbrt.f64 y)

series1.9s (19.3%)

Counts

4 → 12

Calls

4 calls:

723.0ms	(.f64 (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (cbrt.f64 y))
515.0ms	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
485.0ms	(.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)))
150.0ms	(cbrt.f64 y)

simplify94.0ms (1%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4952	3733
1	4952	3733

prune182.0ms (1.9%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	132	9	141

Merged error: 1.2b

Counts

141 → 9

Compiler

Compiled 5162 to 1609 computations (68.8% saved)

regimes111.0ms (1.1%)

Compiler: Compiled 1183 to 701 computations (40.7% 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%)

sample1.1s (11.3%)

Algorithm

1×

intervals

Results

594.0ms	7775×	body	128	valid
29.0ms	538×	body	128	invalid
16.0ms	80×	body	1024	valid
12.0ms	91×	body	512	valid
5.0ms	53×	body	256	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 275 to 170 computations (38.2% saved)

Details

analyze788.0ms (8.1%)

sample24.0ms (0.2%)

simplify213.0ms (2.2%)

prune3.0ms (0%)

localize11.0ms (0.1%)

rewrite38.0ms (0.4%)

series1.2s (12.1%)

simplify69.0ms (0.7%)

prune244.0ms (2.5%)

localize11.0ms (0.1%)

rewrite58.0ms (0.6%)

series1.6s (16.1%)

simplify63.0ms (0.6%)

prune246.0ms (2.5%)

localize16.0ms (0.2%)

rewrite73.0ms (0.8%)

series1.4s (14.6%)

simplify78.0ms (0.8%)

prune165.0ms (1.7%)

localize15.0ms (0.2%)

rewrite72.0ms (0.7%)

series1.9s (19.3%)

simplify94.0ms (1%)

prune182.0ms (1.9%)

regimes111.0ms (1.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.1s (11.3%)

Profiling