Details

sample38.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
7.0ms	265×	body	80	nan

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (9.0ms)

Iter	Nodes	Cost
0	21	6
1	63	6
2	212	6
3	725	5
4	1882	5
5	3231	5
6	4574	5
7	5001	5

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma (log y) (+ y 0.5) z)
0.1b	(- (fma (log y) (+ y 0.5) z) y)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`add-cube-cbrt` `prod-diff`
4×	`add-log-exp`
3×	`fma-neg`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `associate--l+` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 39

Calls

2 calls:

0.0ms	(fma (log y) (+ y 0.5) z)
7.0ms	(- (fma (log y) (+ y 0.5) z) y)

series80.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(fma (log y) (+ y 0.5) z)
46.0ms	(- (fma (log y) (+ y 0.5) z) y)

simplify138.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 3 (133.0ms)

Iter	Nodes	Cost
0	214	366
1	823	278
2	4981	260
3	5001	236

prune135.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (fma (log y) (+ y 0.5) z) y)) (cbrt (- (fma (log y) (+ y 0.5) z) y)))
0.5b	(cbrt (- (fma (log y) (+ y 0.5) z) y))
0.5b	(cbrt (- (fma (log y) (+ y 0.5) z) y))
0.5b	(cbrt (- (fma (log y) (+ y 0.5) z) y))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

40.0ms	(* (cbrt (- (fma (log y) (+ y 0.5) z) y)) (cbrt (- (fma (log y) (+ y 0.5) z) y)))
4.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
7.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
7.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))

series3.6s

Counts

4 → 12

Calls

4 calls:

2.8s	(* (cbrt (- (fma (log y) (+ y 0.5) z) y)) (cbrt (- (fma (log y) (+ y 0.5) z) y)))
284.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
285.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
282.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))

simplify114.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (89.0ms)

Iter	Nodes	Cost
0	953	2708
1	4653	2609
2	5001	2606

prune478.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- (fma (log y) (+ y 0.5) z) y))
0.5b	(cbrt (- (fma (log y) (+ y 0.5) z) y))
0.5b	(cbrt (- (fma (log y) (+ y 0.5) z) y))
0.6b	(cbrt (cbrt (- (fma (log y) (+ y 0.5) z) y)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
17×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`cbrt-div`
9×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 71

Calls

4 calls:

7.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
4.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
4.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
5.0ms	(cbrt (cbrt (- (fma (log y) (+ y 0.5) z) y)))

series1.1s

Counts

4 → 12

Calls

4 calls:

292.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
274.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
282.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
265.0ms	(cbrt (cbrt (- (fma (log y) (+ y 0.5) z) y)))

simplify60.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	534	1553
1	2148	1494
2	5001	1481

prune514.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- (fma (log y) (+ y 0.5) z) y))
0.5b	(cbrt (- (fma (log y) (+ y 0.5) z) y))
0.5b	(cbrt (cbrt (* (cbrt (- (fma (log y) (+ y 0.5) z) y)) (cbrt (- (fma (log y) (+ y 0.5) z) y)))))
0.6b	(cbrt (cbrt (- (fma (log y) (+ y 0.5) z) y)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-div`
28×	`cbrt-prod`
15×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`add-cube-cbrt` `flip3--` `flip--`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `frac-times` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`associate-r/` `associate-l/`

Counts

4 → 76

Calls

4 calls:

4.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
4.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
6.0ms	(cbrt (cbrt (* (cbrt (- (fma (log y) (+ y 0.5) z) y)) (cbrt (- (fma (log y) (+ y 0.5) z) y)))))
8.0ms	(cbrt (cbrt (- (fma (log y) (+ y 0.5) z) y)))

series3.4s

Counts

4 → 12

Calls

4 calls:

287.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
290.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
2.6s	(cbrt (cbrt (* (cbrt (- (fma (log y) (+ y 0.5) z) y)) (cbrt (- (fma (log y) (+ y 0.5) z) y)))))
280.0ms	(cbrt (cbrt (- (fma (log y) (+ y 0.5) z) y)))

simplify54.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1150	2464
1	5001	2389

prune588.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes137.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample947.0ms

Algorithm

intervals

Results

262.0ms	8031×	body	80	valid
207.0ms	8079×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid