Details

sample26.0ms

Algorithm

intervals

Results

13.0ms	269×	body	80	valid
1.0ms	3×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	2×	body	160	valid

simplify76.0ms

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

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

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
0.6b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
0.8b	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 114

Calls

4 calls:

2.0ms	(tanh (/ t y))
7.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
11.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

series767.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(tanh (/ t y))
223.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
215.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
248.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

simplify65.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	546	1798
1	2180	1400
2	5001	1397

prune342.0ms

Filtered

126 candidates to 87 candidates (69.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	119	7	126
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	120	8	128

Merged error: 0.5b

Counts

128 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

0.8b	(fma y (* (* z (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))) x)
2.5b	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
2.5b	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
2.5b	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

33×	`cbrt-div`
27×	`frac-sub`
18×	`tanh-def`
15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`fma-udef`

Counts

4 → 88

Calls

4 calls:

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

series1.3s

Counts

4 → 12

Calls

4 calls:

249.0ms	(fma y (* (* z (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))) x)
363.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
366.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
369.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))

simplify56.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	506	2042
1	1663	1945
2	5002	1909

prune471.0ms

Filtered

100 candidates to 92 candidates (92.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	100	8	108

Merged error: 0.5b

Counts

108 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ x y))
0.0b	(tanh (/ t y))
0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
4.8b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

2.0ms	(tanh (/ x y))
2.0ms	(tanh (/ t y))
7.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
16.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series540.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(tanh (/ x y))
79.0ms	(tanh (/ t y))
224.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
155.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify81.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	650	1841
1	2880	1440
2	5002	1437

prune302.0ms

Filtered

128 candidates to 86 candidates (67.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	128	8	136

Merged error: 0.5b

Counts

136 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
0.6b	(fma y (* z (- (log (exp (tanh (/ t y)))) (tanh (/ x y)))) x)
0.7b	(* z (- (log (exp (tanh (/ t y)))) (tanh (/ x y))))
4.0b	(log (exp (tanh (/ t y))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

42×	`prod-diff`
40×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
36×	`add-cube-cbrt`
29×	`log-pow`
26×	`distribute-rgt-in` `distribute-lft-in`
21×	`exp-prod`
14×	`pow1`
9×	`log-prod`
6×	`add-exp-log` `associate-r` `associate--l+` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-l`
2×	`sub-neg` `associate-*r/` `distribute-lft-out--`
1×	`flip3--` `rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `tanh-def` `difference-of-squares` `unswap-sqr`

Counts

4 → 116

Calls

4 calls:

2.0ms	(tanh (/ t y))
1.0ms	(fma y (* z (- (log (exp (tanh (/ t y)))) (tanh (/ x y)))) x)
10.0ms	(* z (- (log (exp (tanh (/ t y)))) (tanh (/ x y))))
2.0ms	(log (exp (tanh (/ t y))))

series620.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(tanh (/ t y))
247.0ms	(fma y (* z (- (log (exp (tanh (/ t y)))) (tanh (/ x y)))) x)
212.0ms	(* z (- (log (exp (tanh (/ t y)))) (tanh (/ x y))))
83.0ms	(log (exp (tanh (/ t y))))

simplify47.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	379	1936
1	1354	1166
2	5001	1031

prune236.0ms

Filtered

128 candidates to 68 candidates (53.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	128	8	136

Merged error: 0.5b

Counts

136 → 8

regimes196.0ms

Accuracy

0% (1.9b remaining)

Error of 2.3b against oracle of 0.4b and baseline of 2.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	22
1	16	22

end0.0ms

sample681.0ms

Algorithm

intervals

Results

406.0ms	8287×	body	80	valid
19.0ms	104×	body	640	valid
11.0ms	44×	body	1280	valid
10.0ms	71×	body	320	valid
4.0ms	48×	body	160	valid