Details

sample34.0ms

Algorithm

intervals

Results

17.0ms

379×

body

valid

simplify21.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 5 (17.0ms)

Iter	Nodes	Cost
0	26	7
1	68	4
2	140	4
3	200	4
4	214	4
5	217	3
6	217	3

prune9.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

2.9b	(fma (fma a b y) z (fma a 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:

1.0ms

(fma (fma a b y) z (fma a t x))

series99.0ms

Counts

1 → 3

Calls

1 calls:

99.0ms

(fma (fma a b y) z (fma a t x))

simplify60.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	44	58
1	93	51
2	307	49
3	2032	49
4	5002	49

prune48.0ms

Filtered

13 candidates to 12 candidates (92.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b	(+ (+ x (* y z)) (* t a))
5.1b	(* (* a z) b)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-log-exp`
9×	`sum-log`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def` `*-un-lft-identity`
3×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
2×	`+-commutative` `associate-+l+` `flip3-+` `flip-+`
1×	`associate-l` `*-commutative`

Counts

3 → 57

Calls

3 calls:

9.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.0ms	(+ (+ x (* y z)) (* t a))
5.0ms	(* (* a z) b)

series171.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
52.0ms	(+ (+ x (* y z)) (* t a))
28.0ms	(* (* a z) b)

simplify51.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	298	352
1	1535	295
2	5001	285

prune190.0ms

Filtered

66 candidates to 51 candidates (77.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-log-exp`
9×	`sum-log`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def` `*-un-lft-identity`
3×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
2×	`+-commutative` `associate-+l+` `flip3-+` `flip-+`
1×	`associate-r` `*-commutative`

Counts

3 → 57

Calls

3 calls:

9.0ms	(+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))
5.0ms	(+ (+ x (* y z)) (* t a))
5.0ms	(* a (* z b))

series169.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))
50.0ms	(+ (+ x (* y z)) (* t a))
28.0ms	(* a (* z b))

simplify46.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	286	351
1	1309	294
2	5001	284

prune187.0ms

Filtered

66 candidates to 49 candidates (74.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))) (cbrt (+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))))
6.3b	(* a (* z b))
6.3b	(* a (* z b))
6.3b	(* a (* z b))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

26×	`pow1`
23×	`add-sqr-sqrt`
21×	`add-exp-log`
19×	`add-cbrt-cube`
16×	`cbrt-prod`
15×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
12×	`cbrt-div`
11×	`pow-prod-down`
10×	`prod-exp` `cbrt-unprod`
9×	`associate-r`
6×	`flip3-+` `pow1/3` `swap-sqr` `flip-+`
4×	`expm1-log1p-u` `frac-times` `*-commutative` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 110

Calls

4 calls:

17.0ms	(* (cbrt (+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))) (cbrt (+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))))
5.0ms	(* a (* z b))
5.0ms	(* a (* z b))
5.0ms	(* a (* z b))

series320.0ms

Counts

4 → 12

Calls

4 calls:

232.0ms	(* (cbrt (+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))) (cbrt (+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))))
28.0ms	(* a (* z b))
28.0ms	(* a (* z b))
32.0ms	(* a (* z b))

simplify55.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	335	1364
1	1352	1263
2	5002	1165

prune336.0ms

Filtered

122 candidates to 77 candidates (63.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes311.0ms

Accuracy

91.8% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 2.7b

bsearch105.0ms

Steps

Iters	Range		Point
8	4.046477351895676e-89	1.850803906017748e-85	7.720256049994823e-88
8	-2.54488161010129e-48	-1.3469708025345074e-52	-1.0237362247704672e-48

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	10
1	32	10

end0.0ms

sample814.0ms

Algorithm

intervals

Results

438.0ms

11863×

body

valid