Details

sample27.0ms

Algorithm

intervals

Results

13.0ms	270×	body	80	valid
1.0ms	4×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify79.0ms

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

prune9.0ms

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: 1.9b

Counts

2 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ x y))
0.0b	(tanh (/ t y))
1.0b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
2.1b	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

rewrite22.0ms

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))
15.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

series617.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(tanh (/ x y))
79.0ms	(tanh (/ t y))
218.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
244.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

simplify63.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (13.0ms)

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

prune256.0ms

Filtered

101 candidates to 72 candidates (71.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	96	5	101
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	97	6	103

Merged error: 0.7b

Counts

103 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
1.3b	(* z (tanh (/ t y)))
1.9b	(* z (- (tanh (/ x y))))
2.1b	(fma y (+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y))))) x)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`associate-r/` `associate-l*`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `distribute-neg-frac` `tanh-def`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`neg-mul-1` `distribute-rgt-neg-out` `fma-udef`

Counts

4 → 76

Calls

4 calls:

2.0ms	(tanh (/ t y))
5.0ms	(* z (tanh (/ t y)))
7.0ms	(* z (- (tanh (/ x y))))
1.0ms	(fma y (+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y))))) x)

series486.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(tanh (/ t y))
85.0ms	(* z (tanh (/ t y)))
87.0ms	(* z (- (tanh (/ x y))))
240.0ms	(fma y (+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y))))) x)

simplify44.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	318	502
1	1229	449
2	5002	447

prune235.0ms

Filtered

88 candidates to 71 candidates (80.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	86	2	88
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	87	7	94

Merged error: 0.7b

Counts

94 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ x y))
0.0b	(tanh (/ t y))
0.0b	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
5.7b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 117

Calls

4 calls:

2.0ms	(tanh (/ x y))
2.0ms	(tanh (/ t y))
6.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
17.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series644.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(tanh (/ x y))
80.0ms	(tanh (/ t y))
329.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
155.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify82.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	685	1652
1	3000	1257
2	5002	1253

prune300.0ms

Filtered

129 candidates to 86 candidates (66.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	129	7	136

Merged error: 0.7b

Counts

136 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
0.8b	(+ (fma (* (tanh (/ t y)) y) z x) (* (* y z) (- (tanh (/ x y)))))
4.5b	(* (tanh (/ t y)) y)
7.4b	(* (* y z) (- (tanh (/ x y))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

13×	`associate-r`
12×	`add-sqr-sqrt`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`distribute-lft-neg-in` `fma-def` `distribute-rgt-neg-in` `associate-r/` `associate-l/` `distribute-rgt-neg-out` `distribute-neg-frac` `tanh-def`
2×	`*-commutative`
1×	`+-commutative` `neg-mul-1` `associate-+l+` `flip3-+` `unsub-neg` `sum-log` `flip-+` `fma-udef` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

2.0ms	(tanh (/ t y))
3.0ms	(+ (fma (* (tanh (/ t y)) y) z x) (* (* y z) (- (tanh (/ x y)))))
5.0ms	(* (tanh (/ t y)) y)
7.0ms	(* (* y z) (- (tanh (/ x y))))

series503.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(tanh (/ t y))
227.0ms	(+ (fma (* (tanh (/ t y)) y) z x) (* (* y z) (- (tanh (/ x y)))))
111.0ms	(* (tanh (/ t y)) y)
89.0ms	(* (* y z) (- (tanh (/ x y))))

simplify68.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	429	623
1	1932	559
2	5001	558

prune259.0ms

Filtered

97 candidates to 77 candidates (79.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	4	1	5
Picked	1	0	1
Done	0	1	1
Total	101	3	104

Merged error: 0.0b

Counts

104 → 3

regimes79.0ms

Accuracy

6.5% (1.9b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.1b

bsearch42.0ms

Steps

Iters	Range		Point
8	-1.1758805254835388e+137	-2.8188968272270845e+134	-1.1600489093627797e+137

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	12
1	29	12
2	30	12
3	30	12

end0.0ms

sample674.0ms

Algorithm

intervals

Results

408.0ms	8308×	body	80	valid
22.0ms	123×	body	640	valid
8.0ms	62×	body	320	valid
8.0ms	33×	body	1280	valid
4.0ms	39×	body	160	valid