Details

sample23.0ms

Algorithm

intervals

Results

11.0ms	267×	body	80	valid
1.0ms	5×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	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

prune8.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
1.1b	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
1.2b	(* z (- (tanh (/ t y)) (tanh (/ x y))))

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

series757.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(tanh (/ t y))
221.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
243.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
211.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))

simplify64.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	546	1798
1	2180	1400
2	5003	1397

prune363.0ms

Filtered

126 candidates to 87 candidates (69.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.5b

localize18.0ms

Local error

Found 4 expressions with local error:

1.2b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
4.0b	(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
4.0b	(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
4.0b	(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 121

Calls

4 calls:

11.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
9.0ms	(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
9.0ms	(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
9.0ms	(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series1.9s

Counts

4 → 12

Calls

4 calls:

206.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
579.0ms	(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
577.0ms	(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
582.0ms	(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify81.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	668	2649
1	2573	2350
2	5003	2344

prune594.0ms

Filtered

133 candidates to 104 candidates (78.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.5b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
0.0b	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
7.1b	(* (* 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:

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

series949.0ms

Counts

4 → 12

Calls

4 calls:

254.0ms	(tanh (/ t y))
325.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
215.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
155.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify86.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	763	2264
1	3267	1740
2	5001	1733

prune388.0ms

Filtered

154 candidates to 101 candidates (65.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.5b

localize18.0ms

Local error

Found 4 expressions with local error:

4.0b	(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
4.0b	(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
4.1b	(/ (* t z) y)
18.8b	(cbrt (/ (* t z) y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cbrt-div`
22×	`associate-*r/`
18×	`frac-sub`
12×	`tanh-def`
9×	`add-exp-log` `cbrt-prod` `add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`times-frac`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-/r*`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `div-inv`
1×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l*`

Counts

4 → 85

Calls

4 calls:

8.0ms	(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
8.0ms	(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
4.0ms	(/ (* t z) y)
3.0ms	(cbrt (/ (* t z) y))

series1.2s

Counts

4 → 12

Calls

4 calls:

563.0ms	(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
571.0ms	(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
22.0ms	(/ (* t z) y)
79.0ms	(cbrt (/ (* t z) y))

simplify62.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	677	1357
1	2558	1301
2	5001	1288

prune477.0ms

Filtered

97 candidates to 84 candidates (86.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.5b

regimes149.0ms

Accuracy

0% (2.0b remaining)

Error of 2.5b against oracle of 0.5b and baseline of 2.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	24
1	16	24

end0.0ms

sample592.0ms

Algorithm

intervals

Results

331.0ms	8328×	body	80	valid
18.0ms	114×	body	640	valid
10.0ms	64×	body	320	valid
9.0ms	46×	body	1280	valid
3.0ms	37×	body	160	valid