Details

sample23.0ms

Algorithm

intervals

Results

10.0ms	263×	body	80	valid
1.0ms	2×	body	640	valid
0.0ms	2×	body	160	valid

simplify77.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	54	8
1	146	7
2	337	7
3	1017	7
4	3659	7
5	5001	7

prune10.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 1.4b

Counts

2 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ x y))
0.0b	(tanh (/ t y))
0.5b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.2b	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
18×	`add-cube-cbrt` `prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
9×	`frac-sub`
8×	`tanh-def`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-l`
2×	`sub-neg`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

2.0ms	(tanh (/ x y))
2.0ms	(tanh (/ t y))
12.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

series854.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(tanh (/ x y))
286.0ms	(tanh (/ t y))
229.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
257.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

simplify55.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	474	1186
1	1938	917
2	5002	917

prune292.0ms

Filtered

101 candidates to 72 candidates (71.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	95	6	101
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	96	7	103

Merged error: 0.7b

Counts

103 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p (expm1 (tanh (/ t y))))
0.3b	(expm1 (tanh (/ t y)))
0.5b	(* z (- (log1p (expm1 (tanh (/ t y)))) (tanh (/ x y))))
1.2b	(fma y (* z (- (log1p (expm1 (tanh (/ t y)))) (tanh (/ x y)))) x)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
18×	`add-cube-cbrt` `prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r` `log1p-expm1-u`
4×	`expm1-log1p-u` `add-log-exp`
3×	`associate-l`
2×	`sub-neg` `associate-*r/`
1×	`log1p-udef` `expm1-log1p` `flip3--` `log1p-expm1` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `distribute-lft-out--` `expm1-udef` `difference-of-squares` `unswap-sqr`

Counts

4 → 78

Calls

4 calls:

1.0ms	(log1p (expm1 (tanh (/ t y))))
1.0ms	(expm1 (tanh (/ t y)))
7.0ms	(* z (- (log1p (expm1 (tanh (/ t y)))) (tanh (/ x y))))
1.0ms	(fma y (* z (- (log1p (expm1 (tanh (/ t y)))) (tanh (/ x y)))) x)

series710.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(log1p (expm1 (tanh (/ t y))))
71.0ms	(expm1 (tanh (/ t y)))
262.0ms	(* z (- (log1p (expm1 (tanh (/ t y)))) (tanh (/ x y))))
304.0ms	(fma y (* z (- (log1p (expm1 (tanh (/ t y)))) (tanh (/ x y)))) x)

simplify43.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	307	1124
1	1215	798
2	5001	702

prune246.0ms

Filtered

90 candidates to 58 candidates (64.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	90	7	97

Merged error: 0.7b

Counts

97 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

1.2b	(fma y (* z (- (* (* (cbrt (tanh (/ t y))) (cbrt (tanh (/ t y)))) (cbrt (tanh (/ t y)))) (tanh (/ x y)))) x)
7.2b	(cbrt (tanh (/ t y)))
7.2b	(cbrt (tanh (/ t y)))
7.2b	(cbrt (tanh (/ t y)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `cbrt-div`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `tanh-def`
1×	`fma-udef`

Counts

4 → 58

Calls

4 calls:

1.0ms	(fma y (* z (- (* (* (cbrt (tanh (/ t y))) (cbrt (tanh (/ t y)))) (cbrt (tanh (/ t y)))) (tanh (/ x y)))) x)
3.0ms	(cbrt (tanh (/ t y)))
3.0ms	(cbrt (tanh (/ t y)))
3.0ms	(cbrt (tanh (/ t y)))

series771.0ms

Counts

4 → 12

Calls

4 calls:

255.0ms	(fma y (* z (- (* (* (cbrt (tanh (/ t y))) (cbrt (tanh (/ t y)))) (cbrt (tanh (/ t y)))) (tanh (/ x y)))) x)
173.0ms	(cbrt (tanh (/ t y)))
172.0ms	(cbrt (tanh (/ t y)))
171.0ms	(cbrt (tanh (/ t y)))

simplify50.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (42.0ms)

Iter	Nodes	Cost
0	197	671
1	502	608
2	1833	591
3	5001	562

prune305.0ms

Filtered

70 candidates to 65 candidates (92.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	70	7	77

Merged error: 0.7b

Counts

77 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
0.0b	(* z (+ (* y (tanh (/ t y))) (* y (- (tanh (/ x y))))))
5.2b	(* y (- (tanh (/ x y))))
6.9b	(* y (tanh (/ t y)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

35×	`associate-*r/`
18×	`add-sqr-sqrt`
17×	`associate-r`
12×	`add-cube-cbrt` `*-un-lft-identity` `distribute-neg-frac`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`associate-l` `frac-add` `tanh-def`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`distribute-rgt-in` `neg-mul-1` `distribute-lft-in` `flip3-+` `distribute-rgt-neg-out` `flip-+` `distribute-lft-out`

Counts

4 → 100

Calls

4 calls:

2.0ms	(tanh (/ t y))
11.0ms	(* z (+ (* y (tanh (/ t y))) (* y (- (tanh (/ x y))))))
7.0ms	(* y (- (tanh (/ x y))))
5.0ms	(* y (tanh (/ t y)))

series469.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(tanh (/ t y))
254.0ms	(* z (+ (* y (tanh (/ t y))) (* y (- (tanh (/ x y))))))
71.0ms	(* y (- (tanh (/ x y))))
64.0ms	(* y (tanh (/ t y)))

simplify83.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	618	855
1	3279	792
2	5002	791

prune331.0ms

Filtered

112 candidates to 91 candidates (81.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	110	2	112
Fresh	2	2	4
Picked	1	0	1
Done	1	1	2
Total	114	5	119

Merged error: 0.4b

Counts

119 → 5

regimes109.0ms

Accuracy

0% (1.8b remaining)

Error of 1.8b against oracle of 0.1b and baseline of 1.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	9
1	14	9

end0.0ms

sample594.0ms

Algorithm

intervals

Results

334.0ms	8302×	body	80	valid
16.0ms	103×	body	640	valid
10.0ms	64×	body	320	valid
10.0ms	44×	body	1280	valid
2.0ms	30×	body	160	valid