Details

sample24.0ms

Algorithm

intervals

Results

11.0ms	267×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify85.0ms

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: 1.0b

Counts

2 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ x y))
0.0b	(tanh (/ t y))
0.7b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
0.8b	(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:

3.0ms	(tanh (/ x y))
3.0ms	(tanh (/ t y))
13.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

series643.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(tanh (/ x y))
82.0ms	(tanh (/ t y))
218.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
260.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

simplify63.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (14.0ms)

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

prune322.0ms

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: 0.2b

Counts

103 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.7b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
0.8b	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
0.8b	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
0.8b	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

rewrite24.0ms

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`
6×	`pow1` `add-exp-log` `add-cbrt-cube` `tanh-def`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `fma-udef`
2×	`sub-neg`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

18.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
1.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
1.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

series994.0ms

Counts

4 → 12

Calls

4 calls:

216.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
263.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
260.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
254.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

simplify57.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	431	1260
1	1744	961
2	5003	961

prune363.0ms

Filtered

97 candidates to 68 candidates (70.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

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

Merged error: 0.2b

Counts

103 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
0.0b	(tanh (/ x y))
0.0b	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
5.4b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 133

Calls

4 calls:

3.0ms	(tanh (/ t y))
3.0ms	(tanh (/ x y))
14.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
17.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series673.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(tanh (/ t y))
82.0ms	(tanh (/ x y))
345.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
161.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify98.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	722	1795
1	3101	1397
2	5002	1393

prune418.0ms

Filtered

145 candidates to 98 candidates (67.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	143	2	145
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	145	6	151

Merged error: 0.2b

Counts

151 → 6

localize23.0ms

Local error

Found 4 expressions with local error:

4.4b	(* (* y z) (fma (- (tanh (/ x y))) 1 (* (tanh (/ x y)) 1)))
8.0b	(cbrt (tanh (/ t y)))
8.0b	(cbrt (tanh (/ t y)))
8.0b	(cbrt (tanh (/ t y)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
15×	`associate-l`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `add-exp-log` `cbrt-prod` `cbrt-div` `add-cbrt-cube`
6×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod` `tanh-def`
2×	`*-commutative` `fma-udef`
1×	`distribute-rgt-in` `distribute-lft-in`

Counts

4 → 83

Calls

4 calls:

7.0ms	(* (* y z) (fma (- (tanh (/ x y))) 1 (* (tanh (/ x y)) 1)))
4.0ms	(cbrt (tanh (/ t y)))
4.0ms	(cbrt (tanh (/ t y)))
4.0ms	(cbrt (tanh (/ t y)))

series3.2m

Counts

4 → 12

Calls

4 calls:

3.2m	(* (* y z) (fma (- (tanh (/ x y))) 1 (* (tanh (/ x y)) 1)))
177.0ms	(cbrt (tanh (/ t y)))
178.0ms	(cbrt (tanh (/ t y)))
177.0ms	(cbrt (tanh (/ t y)))

simplify41.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	323	868
1	1185	777
2	5001	751

prune486.0ms

Filtered

95 candidates to 82 candidates (86.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	95	6	101

Merged error: 0.2b

Counts

101 → 6

regimes178.0ms

Accuracy

60.7% (1.1b remaining)

Error of 1.5b against oracle of 0.4b and baseline of 3.2b

bsearch2.0ms

simplify6.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	50
1	31	50

end0.0ms

sample600.0ms

Algorithm

intervals

Results

333.0ms	8338×	body	80	valid
13.0ms	87×	body	640	valid
10.0ms	47×	body	1280	valid
5.0ms	43×	body	320	valid
3.0ms	38×	body	160	valid