Details

sample25.0ms

Algorithm

intervals

Results

13.0ms	264×	body	80	valid
1.0ms	3×	body	1280	valid
0.0ms	2×	body	320	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: 2.5b

Counts

2 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
0.0b	(tanh (/ x y))
0.9b	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
1.8b	(* z (- (tanh (/ t y)) (tanh (/ x y))))

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

series631.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(tanh (/ t y))
77.0ms	(tanh (/ x y))
253.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
217.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))

simplify59.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	471	1186
1	1884	917
2	5001	917

prune233.0ms

Filtered

101 candidates to 72 candidates (71.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	94	7	101
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	95	8	103

Merged error: 0.4b

Counts

103 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.9b	(fma y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))) x)
0.9b	(* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))
1.1b	(* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

161×	`add-sqr-sqrt`
65×	`unswap-sqr`
61×	`*-un-lft-identity`
57×	`add-cube-cbrt`
55×	`distribute-rgt-in` `distribute-lft-in`
54×	`cbrt-prod` `prod-diff`
45×	`associate-l`
42×	`add-cbrt-cube`
39×	`cbrt-unprod`
34×	`associate-r`
33×	`associate-*r/`
18×	`pow1` `add-exp-log` `frac-sub`
12×	`swap-sqr` `tanh-def`
9×	`pow-prod-down` `prod-exp`
7×	`*-commutative`
6×	`sub-neg`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`pow1/3` `fma-udef`

Counts

4 → 243

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(fma y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))) x)
14.0ms	(* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))
36.0ms	(* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y)))))

series1.0s

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt z)
284.0ms	(fma y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))) x)
338.0ms	(* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))
244.0ms	(* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y)))))

simplify67.0ms

Algorithm

egg-herbie

Counts

255 → 255

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1156	4906
1	5001	3458

prune537.0ms

Filtered

255 candidates to 142 candidates (55.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	253	2	255
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	255	8	263

Merged error: 0.4b

Counts

263 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.9b	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
1.8b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.8b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.8b	(* z (- (tanh (/ t y)) (tanh (/ x y))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
54×	`prod-diff`
52×	`*-un-lft-identity`
46×	`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×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`fma-udef`

Counts

4 → 175

Calls

4 calls:

1.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
14.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
13.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
13.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))

series1.1s

Counts

4 → 12

Calls

4 calls:

451.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
223.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
219.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
224.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))

simplify71.0ms

Algorithm

egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	429	2924
1	1701	2147
2	5002	2093

prune482.0ms

Filtered

187 candidates to 108 candidates (57.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	187	0	187
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	187	8	195

Merged error: 0.4b

Counts

195 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
0.0b	(tanh (/ t y))
0.0b	(tanh (/ x y))
5.1b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite41.0ms

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:

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

series667.0ms

Counts

4 → 12

Calls

4 calls:

340.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
83.0ms	(tanh (/ t y))
83.0ms	(tanh (/ x y))
161.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify85.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	717	1796
1	3041	1397
2	5001	1393

prune294.0ms

Filtered

145 candidates to 99 candidates (68.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	144	1	145
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	145	8	153

Merged error: 0.4b

Counts

153 → 8

regimes186.0ms

Accuracy

0% (1.1b remaining)

Error of 1.6b against oracle of 0.5b and baseline of 1.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	8
1	15	8

end0.0ms

sample577.0ms

Algorithm

intervals

Results

321.0ms	8250×	body	80	valid
16.0ms	105×	body	640	valid
12.0ms	56×	body	1280	valid
10.0ms	69×	body	320	valid
3.0ms	40×	body	160	valid