Details

analyze894.0ms (6.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5154	161
0	4	4
1	4	4

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)

sample25.0ms (0.2%)

Algorithm

1×

intervals

Results

11.0ms	250×	body	128	valid
1.0ms	17×	body	128	invalid
0.0ms	3×	body	512	valid
0.0ms	1×	body	1024	valid
0.0ms	2×	body	256	valid

Compiler

Compiled 31 to 29 computations (6.5% saved)

simplify55.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5155	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

Error

4.6b

Counts

2 → 1

Compiler

Compiled 30 to 24 computations (20% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(tanh.f64 (/.f64 t y))
0.3b	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
5.7b	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

rewrite129.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

1.2b

Rules

18×	`frac-sub_binary64_8612`
13×	`tanh-def-c_binary64_8792` `tanh-def-b_binary64_8791` `tanh-def-a_binary64_8790`
11×	`add-sqr-sqrt_binary64_8625` `-un-lft-identity_binary64_8603` `associate-r/_binary64_8545`
9×	`cancel-sign-sub-inv_binary64_8569`
8×	`pow1_binary64_8664` `add-exp-log_binary64_8641` `add-cbrt-cube_binary64_8639`
7×	`add-cube-cbrt_binary64_8638`
5×	`add-log-exp_binary64_8642` `associate-r_binary64_8543`
4×	`distribute-rgt-in_binary64_8553` `distribute-lft-in_binary64_8552`
3×	`pow-prod-down_binary64_8674` `prod-exp_binary64_8652` `cbrt-unprod_binary64_8636` `sub-neg_binary64_8596`
2×	`flip3--_binary64_8607` `flip--_binary64_8578` `difference-of-squares_binary64_8572` `distribute-lft-out--_binary64_8555`
1×	`associate-l_binary64_8544` `*-commutative_binary64_8534` `diff-log_binary64_8695`

Counts

3 → 74

Calls

3 calls:

13.0ms	(.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))

Compiler

Compiled 2563 to 773 computations (69.8% saved)

series2.0s (14.4%)

Error

0.0b

Counts

3 → 49

Calls

3 calls:

1.1s	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
584.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
208.0ms	(tanh.f64 (/.f64 t y))

Compiler

Compiled 5297 to 3696 computations (30.2% saved)

simplify106.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4968	4558
1	4968	4558

prune153.0ms (1.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	120	3	123
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	121	3	124

Error

0.0b

Counts

124 → 3

Compiler

Compiled 4059 to 1618 computations (60.1% saved)

localize10.0ms (0.1%)

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))))
4.8b	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

rewrite186.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

33×	`associate-*r/_binary64_8545`
27×	`frac-sub_binary64_8612`
21×	`cancel-sign-sub-inv_binary64_8569`
20×	`add-sqr-sqrt_binary64_8625` `distribute-rgt-in_binary64_8553` `distribute-lft-in_binary64_8552`
19×	`tanh-def-c_binary64_8792` `tanh-def-b_binary64_8791` `tanh-def-a_binary64_8790`
18×	`*-un-lft-identity_binary64_8603`
14×	`add-cube-cbrt_binary64_8638`
11×	`pow1_binary64_8664` `add-exp-log_binary64_8641` `add-cbrt-cube_binary64_8639`
7×	`sub-neg_binary64_8596`
6×	`add-log-exp_binary64_8642` `associate-l_binary64_8544` `associate-r_binary64_8543`
4×	`pow-prod-down_binary64_8674` `prod-exp_binary64_8652` `cbrt-unprod_binary64_8636`
3×	`flip3--_binary64_8607` `flip--_binary64_8578`
2×	`*-commutative_binary64_8534` `difference-of-squares_binary64_8572` `distribute-lft-out--_binary64_8555`
1×	`unswap-sqr_binary64_8571` `diff-log_binary64_8695`

Counts

4 → 119

Calls

4 calls:

15.0ms	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
14.0ms	(.f64 y (.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))

Compiler

Compiled 4022 to 1230 computations (69.4% saved)

series3.0s (22%)

Error

0.0b

Counts

4 → 69

Calls

4 calls:

1.1s	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
991.0ms	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
605.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
194.0ms	(tanh.f64 (/.f64 t y))

Compiler

Compiled 7897 to 5530 computations (30% saved)

simplify112.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4970	6899
1	4970	6899

prune224.0ms (1.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	187	1	188
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	187	4	191

Error

Counts

191 → 4

Compiler

Compiled 6137 to 2444 computations (60.2% saved)

localize18.0ms (0.1%)

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))))
1.2b	(.f64 (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (cbrt.f64 y))
3.9b	(.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)))

rewrite411.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

44×	`associate-*r/_binary64_8545`
32×	`pow1_binary64_8664` `add-exp-log_binary64_8641`
27×	`frac-sub_binary64_8612`
22×	`associate-*l/_binary64_8546`
20×	`add-cbrt-cube_binary64_8639`
19×	`pow-prod-down_binary64_8674` `prod-exp_binary64_8652` `cbrt-unprod_binary64_8636`
18×	`tanh-def-c_binary64_8792` `tanh-def-b_binary64_8791` `tanh-def-a_binary64_8790`
15×	`add-sqr-sqrt_binary64_8625`
13×	`*-un-lft-identity_binary64_8603`
12×	`associate-r_binary64_8543`
11×	`add-cube-cbrt_binary64_8638`
6×	`cbrt-prod_binary64_8634` `cancel-sign-sub-inv_binary64_8569`
5×	`associate-l_binary64_8544`
4×	`add-log-exp_binary64_8642` `distribute-rgt-in_binary64_8553` `distribute-lft-in_binary64_8552`
3×	`flip3--_binary64_8607` `flip--_binary64_8578` `*-commutative_binary64_8534`
2×	`sub-neg_binary64_8596`
1×	`unswap-sqr_binary64_8571` `difference-of-squares_binary64_8572` `distribute-lft-out--_binary64_8555` `pow1/3_binary64_8685`

Counts

4 → 121

Calls

4 calls:

20.0ms	(.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)

Compiler

Compiled 4946 to 1255 computations (74.6% saved)

series3.5s (25.1%)

Error

Counts

4 → 57

Calls

4 calls:

1.2s	(.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)))
1.1s	(.f64 (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (cbrt.f64 y))
983.0ms	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
84.0ms	(cbrt.f64 y)

Compiler

Compiled 8265 to 5667 computations (31.4% saved)

simplify97.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5032	6544

prune219.0ms (1.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	177	1	178
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	178	4	182

Error

Counts

182 → 4

Compiler

Compiled 6630 to 2359 computations (64.4% saved)

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 z (-.f64 t x)))
0.0b	(*.f64 z (-.f64 t x))

rewrite45.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`add-sqr-sqrt_binary64_8625` `cancel-sign-sub-inv_binary64_8569`
10×	`*-un-lft-identity_binary64_8603`
8×	`add-cube-cbrt_binary64_8638` `distribute-rgt-in_binary64_8553` `distribute-lft-in_binary64_8552` `associate-+r+_binary64_8535`
5×	`associate-r_binary64_8543`
4×	`pow1_binary64_8664` `add-exp-log_binary64_8641` `add-log-exp_binary64_8642` `add-cbrt-cube_binary64_8639` `sub-neg_binary64_8596`
3×	`associate-l_binary64_8544`
2×	`associate-*r/_binary64_8545`
1×	`pow-prod-down_binary64_8674` `prod-exp_binary64_8652` `cbrt-unprod_binary64_8636` `unswap-sqr_binary64_8571` `flip3--_binary64_8607` `flip--_binary64_8578` `difference-of-squares_binary64_8572` `distribute-lft-out--_binary64_8555` `*-commutative_binary64_8534` `sum-log_binary64_8694` `flip3-+_binary64_8606` `flip-+_binary64_8577` `+-commutative_binary64_8533`

Counts

2 → 49

Calls

2 calls:

7.0ms	(*.f64 z (-.f64 t x))
4.0ms	(+.f64 x (*.f64 z (-.f64 t x)))

Compiler

Compiled 682 to 193 computations (71.7% saved)

series240.0ms (1.7%)

Error

Counts

2 → 33

Calls

2 calls:

121.0ms	(+.f64 x (*.f64 z (-.f64 t x)))
102.0ms	(*.f64 z (-.f64 t x))

Compiler

Compiled 618 to 414 computations (33% saved)

simplify65.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5278	764

prune43.0ms (0.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	1	0	1
Picked	1	0	1
Done	1	1	2
Total	84	2	86

Error

Counts

86 → 2

Compiler

Compiled 804 to 158 computations (80.3% saved)

regimes514.0ms (3.7%)

Accuracy

Total 1.6b remaining (99.2%)

Threshold costs 0b (0%)

Compiler

Compiled 6398 to 4366 computations (31.8% saved)

bsearch28.0ms (0.2%)

Steps

Iters	Range		Point
8	1.3145513589047861e+215	4.5956767780107016e+218	6.498537120547806e+217

Compiler

Compiled 1 to 4 computations (-300% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	61	42
1	61	42

end0.0ms (0%)

sample1.7s (12.6%)

Algorithm

1×

intervals

Results

380.0ms	7771×	body	128	valid
26.0ms	557×	body	128	invalid
17.0ms	73×	body	1024	valid
14.0ms	99×	body	512	valid
5.0ms	56×	body	256	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 1331 to 910 computations (31.6% saved)

Details

analyze894.0ms (6.5%)

sample25.0ms (0.2%)

simplify55.0ms (0.4%)

prune3.0ms (0%)

localize10.0ms (0.1%)

rewrite129.0ms (0.9%)

series2.0s (14.4%)

simplify106.0ms (0.8%)

prune153.0ms (1.1%)

localize10.0ms (0.1%)

rewrite186.0ms (1.3%)

series3.0s (22%)

simplify112.0ms (0.8%)

prune224.0ms (1.6%)

localize18.0ms (0.1%)

rewrite411.0ms (3%)

series3.5s (25.1%)

simplify97.0ms (0.7%)

prune219.0ms (1.6%)

localize5.0ms (0%)

rewrite45.0ms (0.3%)

series240.0ms (1.7%)

simplify65.0ms (0.5%)

prune43.0ms (0.3%)

regimes514.0ms (3.7%)

bsearch28.0ms (0.2%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.7s (12.6%)

Profiling