Details

sample25.0ms

Algorithm

intervals

Results

8.0ms	234×	body	80	valid
2.0ms	17×	body	640	valid
2.0ms	20×	body	320	valid
0.0ms	3×	body	1280	valid
0.0ms	7×	body	160	valid
0.0ms	1×	body	2560	valid

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (10.0ms)

Iter	Nodes	Cost
0	22	6
1	52	6
2	111	6
3	213	6
4	517	5
5	1051	5
6	2055	5
7	3280	5
8	5002	5

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
12.6b	(fma (/ y (- a t)) (- t z) (+ x y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/r*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `fma-udef` `div-inv`

Counts

2 → 49

Calls

2 calls:

5.0ms	(/ y (- a t))
0.0ms	(fma (/ y (- a t)) (- t z) (+ x y))

series100.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ y (- a t))
73.0ms	(fma (/ y (- a t)) (- t z) (+ x y))

simplify39.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	170	278
1	468	257
2	1400	257
3	5002	257

prune156.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 6.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) y)
0.6b	(/ 1 (/ (- a t) y))
12.5b	(fma (/ 1 (/ (- a t) y)) (- t z) (+ x y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

132×	`times-frac`
101×	`add-sqr-sqrt` `*-un-lft-identity`
69×	`add-cube-cbrt`
22×	`associate-/r*`
16×	`add-exp-log` `distribute-lft-out--` `difference-of-squares`
10×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`div-inv`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`flip3--` `pow-flip` `div-sub` `associate-/r/` `flip--` `fma-udef` `inv-pow`

Counts

3 → 152

Calls

3 calls:

9.0ms	(/ (- a t) y)
9.0ms	(/ 1 (/ (- a t) y))
0.0ms	(fma (/ 1 (/ (- a t) y)) (- t z) (+ x y))

series175.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ (- a t) y)
69.0ms	(/ 1 (/ (- a t) y))
81.0ms	(fma (/ 1 (/ (- a t) y)) (- t z) (+ x y))

simplify50.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	466	1086
1	1950	958
2	5001	852

prune298.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 6.0b

localize13.0ms

Local error

Found 4 expressions with local error:

12.4b	(fma (* (* (cbrt (/ y (- a t))) (cbrt (/ y (- a t)))) (cbrt (/ y (- a t)))) (- t z) (+ x y))
15.9b	(cbrt (/ y (- a t)))
15.9b	(cbrt (/ y (- a t)))
15.9b	(cbrt (/ y (- a t)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

63×	`cbrt-prod`
49×	`add-sqr-sqrt` `*-un-lft-identity`
45×	`times-frac`
31×	`add-cube-cbrt`
9×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `flip3--` `pow1/3` `flip--` `div-inv`
1×	`fma-udef`

Counts

4 → 106

Calls

4 calls:

0.0ms	(fma (* (* (cbrt (/ y (- a t))) (cbrt (/ y (- a t)))) (cbrt (/ y (- a t)))) (- t z) (+ x y))
4.0ms	(cbrt (/ y (- a t)))
4.0ms	(cbrt (/ y (- a t)))
4.0ms	(cbrt (/ y (- a t)))

series571.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(fma (* (* (cbrt (/ y (- a t))) (cbrt (/ y (- a t)))) (cbrt (/ y (- a t)))) (- t z) (+ x y))
158.0ms	(cbrt (/ y (- a t)))
158.0ms	(cbrt (/ y (- a t)))
156.0ms	(cbrt (/ y (- a t)))

simplify46.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 3 (36.0ms)

Iter	Nodes	Cost
0	227	1002
1	486	951
2	1449	937
3	5001	915

prune438.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 6.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a t))
0.6b	(cbrt (- a t))
0.6b	(cbrt (- a t))
12.5b	(fma (/ (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (cbrt (- a t)) (cbrt y))) (- t z) (+ x y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`cbrt-div`
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 → 61

Calls

4 calls:

2.0ms	(cbrt (- a t))
4.0ms	(cbrt (- a t))
2.0ms	(cbrt (- a t))
0.0ms	(fma (/ (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (cbrt (- a t)) (cbrt y))) (- t z) (+ x y))

series524.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(cbrt (- a t))
142.0ms	(cbrt (- a t))
138.0ms	(cbrt (- a t))
100.0ms	(fma (/ (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (cbrt (- a t)) (cbrt y))) (- t z) (+ x y))

simplify51.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 3 (44.0ms)

Iter	Nodes	Cost
0	199	579
1	479	529
2	1721	504
3	5002	483

prune296.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 5.9b

regimes314.0ms

Accuracy

28.7% (4.3b remaining)

Error of 10.2b against oracle of 5.9b and baseline of 11.9b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	18
1	29	18

end0.0ms

sample672.0ms

Algorithm

intervals

Results

249.0ms	7326×	body	80	valid
67.0ms	476×	body	640	valid
39.0ms	418×	body	320	valid
37.0ms	236×	body	1280	valid
15.0ms	236×	body	160	valid
3.0ms	16×	body	2560	valid