Details

analyze1.5s (14.3%)

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)

sample36.0ms (0.3%)

Algorithm

1×

intervals

Results

19.0ms	251×	body	128	valid
1.0ms	18×	body	128	invalid
1.0ms	3×	body	1024	valid
0.0ms	1×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 31 to 29 computations (6.5% saved)

simplify194.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5155	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

Error

5.3b

Counts

2 → 1

Compiler

Compiled 30 to 24 computations (20% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(tanh.f64 (/.f64 x y))
0.0b	(tanh.f64 (/.f64 t y))
0.3b	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
6.0b	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

rewrite38.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`frac-sub_binary64_5884`
14×	`tanh-def-c_binary64_6064` `tanh-def-b_binary64_6063` `tanh-def-a_binary64_6062`
12×	`add-sqr-sqrt_binary64_5897` `*-un-lft-identity_binary64_5875`
11×	`associate-*r/_binary64_5817`
9×	`add-exp-log_binary64_5913` `cancel-sign-sub-inv_binary64_5841` `add-cbrt-cube_binary64_5911` `pow1_binary64_5936`
8×	`add-cube-cbrt_binary64_5910`
6×	`add-log-exp_binary64_5914`
5×	`associate-r_binary64_5815`
4×	`distribute-rgt-in_binary64_5825` `distribute-lft-in_binary64_5824`
3×	`pow-prod-down_binary64_5946` `cbrt-unprod_binary64_5908` `sub-neg_binary64_5868` `prod-exp_binary64_5924`
2×	`distribute-lft-out--_binary64_5827` `difference-of-squares_binary64_5844` `flip3--_binary64_5879` `flip--_binary64_5850`
1×	`diff-log_binary64_5967` `associate-l_binary64_5816` `*-commutative_binary64_5806`

Counts

4 → 84

Calls

4 calls:

18.0ms	(.f64 (.f64 y 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 t y))
2.0ms	(tanh.f64 (/.f64 x y))

series883.0ms (8.2%)

Counts

4 → 12

Calls

4 calls:

371.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
319.0ms	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
107.0ms	(tanh.f64 (/.f64 x y))
85.0ms	(tanh.f64 (/.f64 t y))

simplify81.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5059	2820

prune165.0ms (1.5%)

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

Error

0.9b

Counts

97 → 6

Compiler

Compiled 2918 to 922 computations (68.4% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(tanh.f64 (/.f64 t y))
0.3b	(-.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))))
3.5b	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

rewrite67.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`associate-*r/_binary64_5817`
27×	`frac-sub_binary64_5884`
21×	`cancel-sign-sub-inv_binary64_5841`
20×	`add-sqr-sqrt_binary64_5897` `distribute-rgt-in_binary64_5825` `distribute-lft-in_binary64_5824`
19×	`tanh-def-c_binary64_6064` `tanh-def-b_binary64_6063` `tanh-def-a_binary64_6062`
18×	`*-un-lft-identity_binary64_5875`
14×	`add-cube-cbrt_binary64_5910`
11×	`add-exp-log_binary64_5913` `add-cbrt-cube_binary64_5911` `pow1_binary64_5936`
7×	`sub-neg_binary64_5868`
6×	`associate-r_binary64_5815` `associate-l_binary64_5816` `add-log-exp_binary64_5914`
4×	`pow-prod-down_binary64_5946` `cbrt-unprod_binary64_5908` `prod-exp_binary64_5924`
3×	`flip3--_binary64_5879` `flip--_binary64_5850`
2×	`distribute-lft-out--_binary64_5827` `difference-of-squares_binary64_5844` `*-commutative_binary64_5806`
1×	`diff-log_binary64_5967` `unswap-sqr_binary64_5843`

Counts

4 → 119

Calls

4 calls:

26.0ms	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
18.0ms	(*.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 t y))

series1.1s (9.9%)

Counts

4 → 12

Calls

4 calls:

352.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
335.0ms	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
272.0ms	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
107.0ms	(tanh.f64 (/.f64 t y))

simplify107.0ms (1%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5128	3978

prune199.0ms (1.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	126	5	131
Fresh	3	1	4
Picked	0	1	1
Done	0	1	1
Total	129	8	137

Error

0.9b

Counts

137 → 8

Compiler

Compiled 4035 to 1249 computations (69% saved)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.7b	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
1.7b	(.f64 (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (cbrt.f64 y))
2.1b	(.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)))

rewrite126.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`associate-*r/_binary64_5817`
32×	`add-exp-log_binary64_5913` `pow1_binary64_5936`
27×	`frac-sub_binary64_5884`
22×	`associate-*l/_binary64_5818`
20×	`add-cbrt-cube_binary64_5911`
19×	`pow-prod-down_binary64_5946` `cbrt-unprod_binary64_5908` `prod-exp_binary64_5924`
18×	`tanh-def-c_binary64_6064` `tanh-def-b_binary64_6063` `tanh-def-a_binary64_6062`
15×	`add-sqr-sqrt_binary64_5897`
13×	`*-un-lft-identity_binary64_5875`
12×	`associate-r_binary64_5815`
11×	`add-cube-cbrt_binary64_5910`
6×	`cbrt-prod_binary64_5906` `cancel-sign-sub-inv_binary64_5841`
5×	`associate-l_binary64_5816`
4×	`distribute-rgt-in_binary64_5825` `distribute-lft-in_binary64_5824` `add-log-exp_binary64_5914`
3×	`flip3--_binary64_5879` `*-commutative_binary64_5806` `flip--_binary64_5850`
2×	`sub-neg_binary64_5868`
1×	`distribute-lft-out--_binary64_5827` `difference-of-squares_binary64_5844` `unswap-sqr_binary64_5843` `pow1/3_binary64_5957`

Counts

4 → 121

Calls

4 calls:

43.0ms	(.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)))
26.0ms	(.f64 (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (cbrt.f64 y))
23.0ms	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
2.0ms	(cbrt.f64 y)

series1.3s (11.9%)

Counts

4 → 12

Calls

4 calls:

454.0ms	(.f64 (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (cbrt.f64 y))
414.0ms	(.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)))
332.0ms	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
86.0ms	(cbrt.f64 y)

simplify106.0ms (1%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4975	3733
1	4975	3733

prune209.0ms (1.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	131	2	133
Fresh	0	5	5
Picked	1	0	1
Done	0	2	2
Total	132	9	141

Error

0.9b

Counts

141 → 9

Compiler

Compiled 4672 to 1324 computations (71.7% saved)

localize42.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (cbrt.f64 y))
0.7b	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
1.6b	(.f64 (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y))))
2.1b	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (.f64 (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y))))

rewrite169.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

74×	`add-exp-log_binary64_5913` `pow1_binary64_5936`
53×	`pow-prod-down_binary64_5946` `cbrt-unprod_binary64_5908` `prod-exp_binary64_5924`
44×	`associate-*r/_binary64_5817`
40×	`add-cbrt-cube_binary64_5911`
33×	`associate-*l/_binary64_5818`
27×	`frac-sub_binary64_5884`
18×	`tanh-def-c_binary64_6064` `tanh-def-b_binary64_6063` `tanh-def-a_binary64_6062`
14×	`add-sqr-sqrt_binary64_5897`
12×	`*-un-lft-identity_binary64_5875`
10×	`add-cube-cbrt_binary64_5910`
9×	`cbrt-prod_binary64_5906`
7×	`associate-r_binary64_5815`
6×	`cancel-sign-sub-inv_binary64_5841`
5×	`associate-l_binary64_5816`
4×	`distribute-rgt-in_binary64_5825` `distribute-lft-in_binary64_5824` `add-log-exp_binary64_5914`
3×	`flip3--_binary64_5879` `*-commutative_binary64_5806` `flip--_binary64_5850`
2×	`sub-neg_binary64_5868`
1×	`distribute-lft-out--_binary64_5827` `difference-of-squares_binary64_5844` `unswap-sqr_binary64_5843` `pow1/3_binary64_5957`

Counts

4 → 143

Calls

4 calls:

60.0ms	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (.f64 (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y))))
37.0ms	(.f64 (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y))))
24.0ms	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
3.0ms	(cbrt.f64 (cbrt.f64 y))

series1.5s (13.4%)

Counts

4 → 12

Calls

4 calls:

668.0ms	(.f64 (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y))))
333.0ms	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
329.0ms	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (.f64 (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y))))
119.0ms	(cbrt.f64 (cbrt.f64 y))

simplify220.0ms (2%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (123.0ms)

Iter	Nodes	Cost
0	4960	4463
1	4960	4463

prune284.0ms (2.6%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	153	2	155
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	154	10	164

Error

0.9b

Counts

164 → 10

Compiler

Compiled 5723 to 1346 computations (76.5% saved)

regimes486.0ms (4.5%)

Accuracy

Total 0.6b remaining (30.7%)

Threshold costs 0.6b (30.7%)

Compiler

Compiled 4423 to 2451 computations (44.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	23
1	26	23

end0.0ms (0%)

sample2.0s (18.3%)

Algorithm

1×

intervals

Results

618.0ms	7749×	body	128	valid
46.0ms	606×	body	128	invalid
28.0ms	85×	body	1024	valid
23.0ms	100×	body	512	valid
10.0ms	66×	body	256	valid

Compiler

Compiled 923 to 520 computations (43.7% saved)

Details

analyze1.5s (14.3%)

sample36.0ms (0.3%)

simplify194.0ms (1.8%)

prune2.0ms (0%)

localize13.0ms (0.1%)

rewrite38.0ms (0.3%)

series883.0ms (8.2%)

simplify81.0ms (0.7%)

prune165.0ms (1.5%)

localize26.0ms (0.2%)

rewrite67.0ms (0.6%)

series1.1s (9.9%)

simplify107.0ms (1%)

prune199.0ms (1.8%)

localize31.0ms (0.3%)

rewrite126.0ms (1.2%)

series1.3s (11.9%)

simplify106.0ms (1%)

prune209.0ms (1.9%)

localize42.0ms (0.4%)

rewrite169.0ms (1.6%)

series1.5s (13.4%)

simplify220.0ms (2%)

prune284.0ms (2.6%)

regimes486.0ms (4.5%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.0s (18.3%)

Profiling