Details

sample23.0ms

Algorithm

intervals

Results

11.0ms	270×	body	80	valid
1.0ms	4×	body	640	valid
0.0ms	1×	body	320	valid

simplify75.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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

prune12.0ms

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: 1.1b

Counts

2 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ x y))
0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
0.5b	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
1.1b	(* z (- (tanh (/ t y)) (tanh (/ x y))))

rewrite25.0ms

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

series765.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(tanh (/ x y))
222.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
252.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
210.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))

simplify73.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	560	1798
1	2257	1400
2	5001	1397

prune336.0ms

Filtered

126 candidates to 87 candidates (69.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	122	4	126
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	123	5	128

Merged error: 0.2b

Counts

128 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

1.1b	(* z (fma (* (cbrt (tanh (/ t y))) (cbrt (tanh (/ t y)))) (cbrt (tanh (/ t y))) (- (tanh (/ x y)))))
9.2b	(cbrt (tanh (/ t y)))
9.2b	(cbrt (tanh (/ t y)))
9.2b	(cbrt (tanh (/ t y)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

3.0ms	(* z (fma (* (cbrt (tanh (/ t y))) (cbrt (tanh (/ t y)))) (cbrt (tanh (/ t y))) (- (tanh (/ x y)))))
2.0ms	(cbrt (tanh (/ t y)))
2.0ms	(cbrt (tanh (/ t y)))
2.0ms	(cbrt (tanh (/ t y)))

series879.0ms

Counts

4 → 12

Calls

4 calls:

355.0ms	(* z (fma (* (cbrt (tanh (/ t y))) (cbrt (tanh (/ t y)))) (cbrt (tanh (/ t y))) (- (tanh (/ x y)))))
174.0ms	(cbrt (tanh (/ t y)))
173.0ms	(cbrt (tanh (/ t y)))
177.0ms	(cbrt (tanh (/ t y)))

simplify86.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 3 (77.0ms)

Iter	Nodes	Cost
0	246	882
1	787	764
2	3442	734
3	5001	683

prune297.0ms

Filtered

82 candidates to 70 candidates (85.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	82	5	87

Merged error: 0.2b

Counts

87 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x))
1.1b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.1b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.1b	(* z (- (tanh (/ t y)) (tanh (/ x y))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-sqr-sqrt`
54×	`prod-diff`
53×	`*-un-lft-identity`
47×	`add-cube-cbrt`
33×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
27×	`frac-sub`
18×	`tanh-def`
15×	`associate-r`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`associate-l`
6×	`sub-neg`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`pow1/3`

Counts

4 → 178

Calls

4 calls:

1.0ms	(cbrt (fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x))
11.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
11.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
15.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))

series1.0s

Counts

4 → 12

Calls

4 calls:

384.0ms	(cbrt (fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x))
210.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
216.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
211.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))

simplify71.0ms

Algorithm

egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	487	2998
1	1872	2219
2	5001	2212

prune557.0ms

Filtered

190 candidates to 110 candidates (57.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	190	0	190
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	190	5	195

Merged error: 0.2b

Counts

195 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
0.0b	(tanh (/ x y))
0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
4.7b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 142

Calls

4 calls:

5.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
2.0ms	(tanh (/ x y))
7.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
12.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series946.0ms

Counts

4 → 12

Calls

4 calls:

323.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
73.0ms	(tanh (/ x y))
214.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
336.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify92.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	771	2264
1	3331	1740
2	5002	1733

prune330.0ms

Filtered

154 candidates to 102 candidates (66.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	154	5	159

Merged error: 0.2b

Counts

159 → 5

regimes127.0ms

Accuracy

0% (1.7b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	16
1	15	16

end0.0ms

sample604.0ms

Algorithm

intervals

Results

350.0ms	8295×	body	80	valid
16.0ms	98×	body	640	valid
12.0ms	53×	body	1280	valid
8.0ms	69×	body	320	valid
4.0ms	45×	body	160	valid