Details

sample25.0ms

Algorithm

intervals

Results

11.0ms

331×

body

valid

simplify47.0ms

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

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.7b	(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)

series43.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(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

prune39.0ms

Filtered

13 candidates to 10 candidates (76.9%)

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)) (cbrt (fma (/ y a) (- z t) x)))
0.7b	(fma (/ y a) (- z t) x)
0.7b	(fma (/ y a) (- z t) x)
0.7b	(fma (/ y a) (- z t) x)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`cbrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
6×	`add-exp-log` `pow1/3` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`fma-udef`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 72

Calls

4 calls:

6.0ms	(* (cbrt (fma (/ y a) (- z t) x)) (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)

series456.0ms

Counts

4 → 12

Calls

4 calls:

322.0ms	(* (cbrt (fma (/ y a) (- z t) x)) (cbrt (fma (/ y a) (- z t) x)))
45.0ms	(fma (/ y a) (- z t) x)
41.0ms	(fma (/ y a) (- z t) x)
47.0ms	(fma (/ y a) (- z t) x)

simplify77.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	183	677
1	652	618
2	2893	532
3	5001	521

prune231.0ms

Filtered

84 candidates to 60 candidates (71.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.7b	(fma (/ y a) (- z t) x)
0.7b	(fma (/ y a) (- z t) x)
0.7b	(fma (/ y a) (- z t) x)
0.7b	(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)

series175.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(fma (/ y a) (- z t) x)
46.0ms	(fma (/ y a) (- z t) x)
42.0ms	(fma (/ y a) (- z t) x)
45.0ms	(fma (/ y a) (- z t) x)

simplify41.0ms

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

prune182.0ms

Filtered

52 candidates to 40 candidates (76.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) a))
0.0b	(* y (- z t))
4.8b	(/ (* y (- z t)) a)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-r` `add-log-exp`
4×	`associate-*r/`
3×	`expm1-log1p-u` `fma-def` `times-frac` `associate-l` `associate-/r*` `log1p-expm1-u`
2×	`cbrt-undiv` `sub-neg` `flip3--` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 88

Calls

3 calls:

4.0ms	(+ x (/ (* y (- z t)) a))
11.0ms	(* y (- z t))
14.0ms	(/ (* y (- z t)) a)

series131.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(+ x (/ (* y (- z t)) a))
39.0ms	(* y (- z t))
46.0ms	(/ (* y (- z t)) a)

simplify45.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	384	600
1	1632	428
2	5001	420

prune348.0ms

Filtered

97 candidates to 57 candidates (58.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes256.0ms

Accuracy

0% (2.5b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 2.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3

end0.0ms

sample599.0ms

Algorithm

intervals

Results

289.0ms

10704×

body

valid