Details

sample33.0ms

Algorithm

intervals

Results

18.0ms

356×

body

valid

simplify70.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

3.6b	(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)

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

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

simplify53.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (9.0ms)

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

prune47.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (/ y a) (- z t) x))
3.6b	(fma (/ y a) (- z t) x)
3.6b	(fma (/ y a) (- z t) x)
3.6b	(fma (/ y a) (- z t) x)

rewrite3.0ms

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:

1.0ms	(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)

series353.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(cbrt (fma (/ y a) (- z t) x))
46.0ms	(fma (/ y a) (- z t) x)
47.0ms	(fma (/ y a) (- z t) x)
52.0ms	(fma (/ y a) (- z t) x)

simplify45.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (40.0ms)

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

prune192.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

3.6b	(fma (/ y a) (- z t) x)
3.6b	(fma (/ y a) (- z t) x)
3.6b	(fma (/ y a) (- z t) x)
3.6b	(fma (/ y a) (- z t) x)

rewrite6.0ms

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

series191.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(fma (/ y a) (- z t) x)
52.0ms	(fma (/ y a) (- z t) x)
46.0ms	(fma (/ y a) (- z t) x)
46.0ms	(fma (/ y a) (- z t) x)

simplify54.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (8.0ms)

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

prune209.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) a))
0.0b	(* y (- z t))
6.3b	(/ (* y (- z t)) a)

rewrite30.0ms

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:

5.0ms	(+ x (/ (* y (- z t)) a))
12.0ms	(* y (- z t))
11.0ms	(/ (* y (- z t)) a)

series148.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(+ x (/ (* y (- z t)) a))
44.0ms	(* y (- z t))
53.0ms	(/ (* y (- z t)) a)

simplify62.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (49.0ms)

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

prune193.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes238.0ms

Accuracy

70.4% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.7b

bsearch89.0ms

Steps

Iters	Range		Point
7	1.278734679189541e-14	1.11062781576033e-12	4.06463213368681e-14
7	-2.242415198704979e+64	-3.0136667244557635e+62	-3.0637893463441613e+62

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	14
1	37	14
2	38	14
3	38	14

end0.0ms

sample871.0ms

Algorithm

intervals

Results

552.0ms

10611×

body

valid