Details

Time bar (total: 3.6s)

sample23.0ms

Algorithm
intervals
Results
12.0ms378×body80valid

simplify279.0ms

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

Filtered
1 candidates to 1 candidates (100.0%)
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))

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(fma 3 (* z z) (* x y))

simplify51.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03359
17952
225652
3102552
4500152

prune36.0ms

Filtered
13 candidates to 11 candidates (84.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
13×add-log-exp
7×sum-log
4×fma-def
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
2×pow1 add-exp-log +-commutative expm1-log1p-u flip3-+ add-cbrt-cube flip-+ log1p-expm1-u
1×associate-+l+
Counts
2 → 33
Calls
2 calls:
3.0ms
(+ (* x y) (* z z))
52.0ms
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series87.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(+ (* x y) (* z z))
47.0ms
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify101.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 3 (97.0ms)

IterNodesCost
0193260
1873214
23668199
35001195

prune98.0ms

Filtered
39 candidates to 30 candidates (76.9%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (+ (* x y) (* z z)) (* z z))) (cbrt (+ (+ (* x y) (* z z)) (* z z))))
3.3b
(cbrt (+ (+ (* x y) (* z z)) (* z z)))
3.3b
(cbrt (+ (+ (* x y) (* z z)) (* z z)))
3.3b
(cbrt (+ (+ (* x y) (* z z)) (* z z)))

rewrite82.0ms

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:
59.0ms
(* (cbrt (+ (+ (* x y) (* z z)) (* z z))) (cbrt (+ (+ (* x y) (* z z)) (* z z))))
7.0ms
(cbrt (+ (+ (* x y) (* z z)) (* z z)))
7.0ms
(cbrt (+ (+ (* x y) (* z z)) (* z z)))
7.0ms
(cbrt (+ (+ (* x y) (* z z)) (* z z)))

series571.0ms

Counts
4 → 12
Calls
4 calls:
159.0ms
(* (cbrt (+ (+ (* x y) (* z z)) (* z z))) (cbrt (+ (+ (* x y) (* z z)) (* z z))))
134.0ms
(cbrt (+ (+ (* x y) (* z z)) (* z z)))
139.0ms
(cbrt (+ (+ (* x y) (* z z)) (* z z)))
139.0ms
(cbrt (+ (+ (* x y) (* z z)) (* z z)))

simplify124.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (107.0ms)

IterNodesCost
03131501
110451404
241691296
350011288

prune317.0ms

Filtered
107 candidates to 86 candidates (80.4%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

3.3b
(cbrt (+ (+ (* x y) (* z z)) (* z z)))
3.3b
(cbrt (+ (+ (* x y) (* z z)) (* z z)))
3.3b
(cbrt (+ (+ (* x y) (* z z)) (* z z)))
3.3b
(cbrt (+ (+ (* x y) (* z z)) (* z z)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u flip3-+ pow1/3 add-cbrt-cube flip-+ log1p-expm1-u add-log-exp
Counts
4 → 60
Calls
4 calls:
7.0ms
(cbrt (+ (+ (* x y) (* z z)) (* z z)))
7.0ms
(cbrt (+ (+ (* x y) (* z z)) (* z z)))
7.0ms
(cbrt (+ (+ (* x y) (* z z)) (* z z)))
7.0ms
(cbrt (+ (+ (* x y) (* z z)) (* z z)))

series558.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(cbrt (+ (+ (* x y) (* z z)) (* z z)))
144.0ms
(cbrt (+ (+ (* x y) (* z z)) (* z z)))
141.0ms
(cbrt (+ (+ (* x y) (* z z)) (* z z)))
139.0ms
(cbrt (+ (+ (* x y) (* z z)) (* z z)))

simplify52.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (44.0ms)

IterNodesCost
0174796
1474740
21577708
35001696

prune300.0ms

Filtered
72 candidates to 72 candidates (100.0%)
Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes208.0ms

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

sample569.0ms

Algorithm
intervals
Results
311.0ms12115×body80valid