Details

analyze816.0ms

Algorithm

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

sample25.0ms

Algorithm

intervals

Results

12.0ms	246×	body	80	valid
1.0ms	3×	body	1280	valid
1.0ms	17×	body	80	invalid
1.0ms	4×	body	640	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid

simplify34.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5059	15

prune3.0ms

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: 4.3b

Counts

2 → 1

localize11.0ms

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 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
4.6b	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

11×	`associate-*r/_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `frac-sub_binary64`
8×	`tanh-def-a_binary64` `tanh-def-b_binary64` `tanh-def-c_binary64`
7×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
6×	`add-log-exp_binary64`
5×	`associate-r_binary64` `add-cube-cbrt_binary64`
4×	`sub-neg_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64`
1×	`flip3-+_binary64` `flip3--_binary64` `associate-l_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 66

Calls

4 calls:

2.0ms	(tanh.f64 (/.f64 t y))
2.0ms	(tanh.f64 (/.f64 x y))
4.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
17.0ms	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

series258.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(tanh.f64 (/.f64 t y))
31.0ms	(tanh.f64 (/.f64 x y))
125.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
73.0ms	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

simplify33.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	6117	1266

prune69.0ms

Filtered

63 candidates to 78 candidates (-23.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	72	6	78
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	6	79

Merged error: 1.0b

Counts

79 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
0.0b	(tanh.f64 (/.f64 x y))
0.5b	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
3.6b	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

33×	`associate-*r/_binary64`
18×	`frac-sub_binary64`
13×	`tanh-def-a_binary64` `tanh-def-b_binary64` `tanh-def-c_binary64`
11×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
10×	`sub-neg_binary64`
9×	`*-un-lft-identity_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
7×	`add-cube-cbrt_binary64`
6×	`add-log-exp_binary64` `associate-r_binary64` `associate-l_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `associate-+r+_binary64`
2×	`flip3--_binary64` `flip--_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 91

Calls

4 calls:

4.0ms	(+.f64 x (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
2.0ms	(tanh.f64 (/.f64 x y))
11.0ms	(*.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)))))

series326.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(+.f64 x (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
31.0ms	(tanh.f64 (/.f64 x y))
96.0ms	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
75.0ms	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

simplify47.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5004	1847

prune77.0ms

Filtered

79 candidates to 103 candidates (-30.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	101	2	103
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	102	7	109

Merged error: 1.0b

Counts

109 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (cbrt.f64 z)))
3.6b	(.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))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1_binary64` `add-exp-log_binary64`
33×	`associate-*r/_binary64`
22×	`add-cbrt-cube_binary64` `associate-*l/_binary64`
21×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
18×	`frac-sub_binary64`
12×	`tanh-def-a_binary64` `tanh-def-b_binary64` `tanh-def-c_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`cbrt-prod_binary64`
4×	`add-log-exp_binary64` `associate-l_binary64`
2×	`flip3--_binary64` `associate-r_binary64` `pow1/3_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

4 → 93

Calls

4 calls:

1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
17.0ms	(.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (cbrt.f64 z)))
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))))

series217.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(cbrt.f64 z)
16.0ms	(cbrt.f64 z)
103.0ms	(.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (cbrt.f64 z)))
82.0ms	(.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))))

simplify47.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5054	1566

prune64.0ms

Filtered

73 candidates to 105 candidates (-43.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	104	1	105
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	105	7	112

Merged error: 1.0b

Counts

112 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

3.2b	(cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
3.2b	(cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
3.2b	(cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
3.5b	(.f64 (.f64 y z) (*.f64 (cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

297×	`cbrt-div_binary64`
243×	`frac-sub_binary64`
162×	`tanh-def-a_binary64` `tanh-def-b_binary64` `tanh-def-c_binary64`
154×	`associate-*r/_binary64`
121×	`frac-times_binary64`
27×	`flip3--_binary64` `flip--_binary64`
16×	`pow1_binary64` `add-exp-log_binary64`
15×	`cbrt-prod_binary64`
13×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
12×	`add-cbrt-cube_binary64`
11×	`associate-*l/_binary64`
8×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
7×	`add-cube-cbrt_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
1×	`associate-r_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 237

Calls

4 calls:

7.0ms	(cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
8.0ms	(cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
7.0ms	(cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
40.0ms	(.f64 (.f64 y z) (*.f64 (cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))

series726.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
169.0ms	(cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
169.0ms	(cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
218.0ms	(.f64 (.f64 y z) (*.f64 (cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))

simplify106.0ms

Algorithm

egg-herbie

Counts

249 → 249

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5012	13267

prune523.0ms

Filtered

220 candidates to 249 candidates (-13.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	249	0	249
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	249	7	256

Merged error: 1.0b

Counts

256 → 7

regimes258.0ms

Accuracy

0% (1.1b remaining)

Error of 2.0b against oracle of 0.9b and baseline of 2.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	15
1	25	15

end0.0ms

sample686.0ms

Algorithm

intervals

Results

385.0ms	7768×	body	80	valid
28.0ms	568×	body	80	invalid
17.0ms	91×	body	640	valid
12.0ms	44×	body	1280	valid
7.0ms	54×	body	320	valid
4.0ms	43×	body	160	valid
0.0ms	1×	body	320	invalid

Details

analyze816.0ms

sample25.0ms

simplify34.0ms

prune3.0ms

localize11.0ms

rewrite27.0ms

series258.0ms

simplify33.0ms

prune69.0ms

localize11.0ms

rewrite35.0ms

series326.0ms

simplify47.0ms

prune77.0ms

localize14.0ms

rewrite46.0ms

series217.0ms

simplify47.0ms

prune64.0ms

localize15.0ms

rewrite89.0ms

series726.0ms

simplify106.0ms

prune523.0ms

regimes258.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample686.0ms

Profiling