Details

sample23.0ms

Algorithm

intervals

Results

9.0ms

345×

body

valid

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	15	4
1	26	4
2	49	3
3	97	3
4	155	3
5	202	3
6	241	3
7	304	3
8	436	3
9	592	3
10	990	3
11	1125	3
12	1260	3
13	1260	3

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

2.2b	(fma (/ y a) (- z t) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (/ y a) (- z t) x)

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(fma (/ y a) (- z t) x)

simplify40.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	41	69
1	94	62
2	271	53
3	1307	53
4	5001	53

prune35.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (/ y a) (- z t) x))
2.2b	(fma (/ y a) (- z t) x)
2.2b	(fma (/ y a) (- z t) x)
2.2b	(fma (/ y a) (- z t) x)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 43

Calls

4 calls:

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

series305.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt (fma (/ y a) (- z t) x))
43.0ms	(fma (/ y a) (- z t) x)
41.0ms	(fma (/ y a) (- z t) x)
43.0ms	(fma (/ y a) (- z t) x)

simplify34.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (29.0ms)

Iter	Nodes	Cost
0	117	320
1	285	290
2	1048	260
3	5001	255

prune162.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

2.2b	(fma (/ y a) (- z t) x)
2.2b	(fma (/ y a) (- z t) x)
2.2b	(fma (/ y a) (- z t) x)
2.2b	(fma (/ y a) (- z t) x)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

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

series173.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(fma (/ y a) (- z t) x)
43.0ms	(fma (/ y a) (- z t) x)
44.0ms	(fma (/ y a) (- z t) x)
41.0ms	(fma (/ y a) (- z t) x)

simplify43.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	41	276
1	94	248
2	271	212
3	1307	212
4	5001	212

prune183.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
5.9b	(/ (* y (- z t)) a)

rewrite25.0ms

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`
9×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`pow1` `associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `expm1-log1p-u` `sub-neg` `flip3--` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 71

Calls

2 calls:

11.0ms	(* y (- z t))
10.0ms	(/ (* y (- z t)) a)

series87.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* y (- z t))
51.0ms	(/ (* y (- z t)) a)

simplify43.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	313	491
1	1415	328
2	5001	322

prune123.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes312.0ms

Accuracy

-1.9% (2.5b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 2.5b

bsearch70.0ms

Steps

Iters	Range		Point
8	2.667056467527902e-151	5.525767292787017e-148	6.939075397429748e-149
8	-6.396913838347584e-156	-1.661443646813989e-159	-5.324908245937673e-158

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	7
1	22	7

end0.0ms

sample617.0ms

Algorithm

intervals

Results

298.0ms

10779×

body

valid