Details

sample33.0ms

Algorithm

intervals

Results

12.0ms

356×

body

valid

simplify28.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 5 (22.0ms)

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ x (* y z))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
6.5b	(* (* a z) b)

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

26.0ms	(+ (+ x (* y z)) (* t a))
6.0ms	(+ x (* y z))
96.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
22.0ms	(* (* a z) b)

series172.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(+ (+ x (* y z)) (* t a))
23.0ms	(+ x (* y z))
80.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
27.0ms	(* (* a z) b)

simplify63.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	358	405
1	1787	339
2	5002	330

prune265.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ x (* y z))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (pow (* a (* z b)) 1))
3.8b	(* a (* z b))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

26.0ms	(+ (+ x (* y z)) (* t a))
6.0ms	(+ x (* y z))
98.0ms	(+ (+ (+ x (* y z)) (* t a)) (pow (* a (* z b)) 1))
19.0ms	(* a (* z b))

series192.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(+ (+ x (* y z)) (* t a))
27.0ms	(+ x (* y z))
88.0ms	(+ (+ (+ x (* y z)) (* t a)) (pow (* a (* z b)) 1))
28.0ms	(* a (* z b))

simplify63.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	354	430
1	1662	349
2	5002	339

prune295.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (+ x (* y z)) (* t a)) (pow (* a (* z b)) 1))) (cbrt (+ (+ (+ x (* y z)) (* t a)) (pow (* a (* z b)) 1))))
3.8b	(* a (* z b))
3.8b	(* a (* z b))
3.8b	(* a (* z b))

rewrite453.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
26×	`pow1`
24×	`cbrt-prod`
23×	`add-sqr-sqrt`
21×	`add-exp-log`
19×	`add-cbrt-cube`
16×	`associate-l`
15×	`add-cube-cbrt`
12×	`cbrt-div`
11×	`pow-prod-down`
10×	`associate-r` `prod-exp` `cbrt-unprod`
9×	`swap-sqr`
6×	`flip3-+` `pow1/3` `flip-+` `distribute-lft-out`
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 → 115

Calls

4 calls:

399.0ms	(* (cbrt (+ (+ (+ x (* y z)) (* t a)) (pow (* a (* z b)) 1))) (cbrt (+ (+ (+ x (* y z)) (* t a)) (pow (* a (* z b)) 1))))
19.0ms	(* a (* z b))
16.0ms	(* a (* z b))
16.0ms	(* a (* z b))

series328.0ms

Counts

4 → 12

Calls

4 calls:

242.0ms	(* (cbrt (+ (+ (+ x (* y z)) (* t a)) (pow (* a (* z b)) 1))) (cbrt (+ (+ (+ x (* y z)) (* t a)) (pow (* a (* z b)) 1))))
28.0ms	(* a (* z b))
31.0ms	(* a (* z b))
27.0ms	(* a (* z b))

simplify71.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	338	1589
1	1416	1473
2	5002	1321

prune429.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

1.8b	(* (cbrt a) (* z b))
2.3b	(* (* (cbrt a) (cbrt a)) (* (cbrt a) (* z b)))
3.8b	(* a (* z b))
3.8b	(* a (* z b))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

40×	`pow1` `add-exp-log`
28×	`add-cbrt-cube`
24×	`pow-prod-down` `prod-exp` `cbrt-unprod`
13×	`associate-l`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod`

Counts

4 → 93

Calls

4 calls:

18.0ms	(* (cbrt a) (* z b))
63.0ms	(* (* (cbrt a) (cbrt a)) (* (cbrt a) (* z b)))
19.0ms	(* a (* z b))
17.0ms	(* a (* z b))

series210.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(* (cbrt a) (* z b))
45.0ms	(* (* (cbrt a) (cbrt a)) (* (cbrt a) (* z b)))
29.0ms	(* a (* z b))
25.0ms	(* a (* z b))

simplify55.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	257	545
1	1086	400
2	5001	302

prune464.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes317.0ms

Accuracy

76.9% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 2.8b

bsearch166.0ms

Steps

Iters	Range		Point
8	1.0005906059176746e+245	2.901893708033184e+247	2.4683286032603484e+247
10	4.199934233506477e-84	2.5771152362429428e-73	9.714895677894267e-77
8	-1.7527312303582843e+55	-2.678000396648453e+52	-2.245586314339677e+54

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	46	27
1	48	27
2	48	27

end0.0ms

sample933.0ms

Algorithm

intervals

Results

405.0ms

11687×

body

valid