Details

Time bar (total: 4.2s)

sample33.0ms

Algorithm
intervals
Results
22.0ms370×body80valid

simplify281.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (6.0ms)

IterNodesCost
0166
1334
2564
3763
4883
51313
62363
73283
83433
94433
107973
1134993
1250013

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma 3 (* z z) (* x y))

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 3 (* z z) (* x y))

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(fma 3 (* z z) (* x y))

simplify48.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03359
17952
225652
3102552
4500152

prune36.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (+ (* x y) (* z z)) (* z z))
0.1b
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
16×add-log-exp
9×sum-log
6×fma-def
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
2×pow1 add-exp-log +-commutative expm1-log1p-u associate-+l+ flip3-+ add-cbrt-cube flip-+ log1p-expm1-u
Counts
2 → 37
Calls
2 calls:
14.0ms
(+ (+ (* x y) (* z z)) (* z z))
63.0ms
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series94.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(+ (+ (* x y) (* z z)) (* z z))
49.0ms
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify109.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 3 (105.0ms)

IterNodesCost
0179299
1856245
24063223
35001219

prune107.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize192.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (+ (* x y) (* z z)) (* z z))) (cbrt (+ (+ (* x y) (* z z)) (* z z))))
3.9b
(cbrt (+ (+ (* x y) (* z z)) (* z z)))
3.9b
(cbrt (+ (+ (* x y) (* z z)) (* z z)))
3.9b
(cbrt (+ (+ (* x y) (* z z)) (* z z)))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
63.0ms
(* (cbrt (+ (+ (* x y) (* z z)) (* z z))) (cbrt (+ (+ (* x y) (* z z)) (* z z))))
8.0ms
(cbrt (+ (+ (* x y) (* z z)) (* z z)))
7.0ms
(cbrt (+ (+ (* x y) (* z z)) (* z z)))
8.0ms
(cbrt (+ (+ (* x y) (* z z)) (* z z)))

series602.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(* (cbrt (+ (+ (* x y) (* z z)) (* z z))) (cbrt (+ (+ (* x y) (* z z)) (* z z))))
138.0ms
(cbrt (+ (+ (* x y) (* z z)) (* z z)))
144.0ms
(cbrt (+ (+ (* x y) (* z z)) (* z z)))
150.0ms
(cbrt (+ (+ (* x y) (* z z)) (* z z)))

simplify106.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (94.0ms)

IterNodesCost
03131501
110451404
241691296
350011288

prune315.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma 3 (* z z) (* x y))) (cbrt (fma 3 (* z z) (* x y))))
3.9b
(cbrt (fma 3 (* z z) (* x y)))
3.9b
(cbrt (fma 3 (* z z) (* x y)))
3.9b
(cbrt (fma 3 (* z z) (* x y)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
6.0ms
(* (cbrt (fma 3 (* z z) (* x y))) (cbrt (fma 3 (* z z) (* x y))))
1.0ms
(cbrt (fma 3 (* z z) (* x y)))
1.0ms
(cbrt (fma 3 (* z z) (* x y)))
4.0ms
(cbrt (fma 3 (* z z) (* x y)))

series489.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(* (cbrt (fma 3 (* z z) (* x y))) (cbrt (fma 3 (* z z) (* x y))))
121.0ms
(cbrt (fma 3 (* z z) (* x y)))
119.0ms
(cbrt (fma 3 (* z z) (* x y)))
115.0ms
(cbrt (fma 3 (* z z) (* x y)))

simplify100.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (92.0ms)

IterNodesCost
0207828
1675759
23216701
35003655

prune252.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes234.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample993.0ms

Algorithm
intervals
Results
740.0ms12153×body80valid