Details

sample23.0ms

Algorithm

intervals

Results

11.0ms	279×	body	80	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

simplify78.0ms

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

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(tanh (/ t y))
0.9b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.2b	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
18×	`prod-diff`
17×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
9×	`frac-sub`
7×	`tanh-def`
5×	`pow1` `add-exp-log` `associate-r` `add-cbrt-cube`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
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

3 → 77

Calls

3 calls:

1.0ms	(tanh (/ t y))
24.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
0.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

series541.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(tanh (/ t y))
217.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
247.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

simplify55.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	456	1116
1	1844	847
2	5001	847

prune239.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.3b

localize22.0ms

Local error

Found 4 expressions with local error:

1.2b	(fma y (+ (* z (fma (* (cbrt (tanh (/ t y))) (cbrt (tanh (/ t y)))) (cbrt (tanh (/ t y))) (- (* (tanh (/ x y)) 1)))) (* z (* (tanh (/ x y)) (+ (- 1) 1)))) x)
6.3b	(cbrt (tanh (/ t y)))
6.3b	(cbrt (tanh (/ t y)))
6.3b	(cbrt (tanh (/ t y)))

rewrite6.0ms

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:

0.0ms	(fma y (+ (* z (fma (* (cbrt (tanh (/ t y))) (cbrt (tanh (/ t y)))) (cbrt (tanh (/ t y))) (- (* (tanh (/ x y)) 1)))) (* z (* (tanh (/ x y)) (+ (- 1) 1)))) x)
1.0ms	(cbrt (tanh (/ t y)))
1.0ms	(cbrt (tanh (/ t y)))
2.0ms	(cbrt (tanh (/ t y)))

series855.0ms

Counts

4 → 12

Calls

4 calls:

342.0ms	(fma y (+ (* z (fma (* (cbrt (tanh (/ t y))) (cbrt (tanh (/ t y)))) (cbrt (tanh (/ t y))) (- (* (tanh (/ x y)) 1)))) (* z (* (tanh (/ x y)) (+ (- 1) 1)))) x)
170.0ms	(cbrt (tanh (/ t y)))
171.0ms	(cbrt (tanh (/ t y)))
171.0ms	(cbrt (tanh (/ t y)))

simplify109.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	299	814
1	876	730
2	4297	696
3	5001	678

prune383.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.3b

localize32.0ms

Local error

Found 4 expressions with local error:

6.3b	(cbrt (tanh (/ t y)))
6.3b	(cbrt (tanh (/ t y)))
6.3b	(cbrt (tanh (/ t y)))
6.3b	(cbrt (tanh (/ t y)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod` `cbrt-div`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `tanh-def` `add-log-exp`

Counts

4 → 64

Calls

4 calls:

1.0ms	(cbrt (tanh (/ t y)))
1.0ms	(cbrt (tanh (/ t y)))
1.0ms	(cbrt (tanh (/ t y)))
2.0ms	(cbrt (tanh (/ t y)))

series693.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt (tanh (/ t y)))
170.0ms	(cbrt (tanh (/ t y)))
175.0ms	(cbrt (tanh (/ t y)))
173.0ms	(cbrt (tanh (/ t y)))

simplify43.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (36.0ms)

Iter	Nodes	Cost
0	150	596
1	374	564
2	1352	548
3	5001	504

prune602.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.3b

localize40.0ms

Local error

Found 4 expressions with local error:

6.3b	(cbrt (tanh (/ t y)))
6.3b	(cbrt (tanh (/ t y)))
6.3b	(cbrt (tanh (/ t y)))
6.3b	(cbrt (tanh (/ t y)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod` `cbrt-div`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `tanh-def` `add-log-exp`

Counts

4 → 64

Calls

4 calls:

1.0ms	(cbrt (tanh (/ t y)))
1.0ms	(cbrt (tanh (/ t y)))
1.0ms	(cbrt (tanh (/ t y)))
2.0ms	(cbrt (tanh (/ t y)))

series703.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt (tanh (/ t y)))
174.0ms	(cbrt (tanh (/ t y)))
178.0ms	(cbrt (tanh (/ t y)))
175.0ms	(cbrt (tanh (/ t y)))

simplify42.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (35.0ms)

Iter	Nodes	Cost
0	150	596
1	374	564
2	1352	548
3	5001	504

prune656.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.3b

regimes139.0ms

Accuracy

0% (1.7b remaining)

Error of 2.1b against oracle of 0.4b and baseline of 2.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	24
1	41	24
2	41	24

end0.0ms

sample601.0ms

Algorithm

intervals

Results

338.0ms	8299×	body	80	valid
14.0ms	87×	body	640	valid
10.0ms	43×	body	1280	valid
8.0ms	70×	body	320	valid
4.0ms	46×	body	160	valid