Details

Time bar (total: 2.9s)

sample18.0ms

Algorithm
intervals
Results
7.0ms348×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0113
1152
2162
3162

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
3×fma-def associate-*r* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u
1×+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 36
Calls
2 calls:
11.0ms
(+ x (* (* y z) z))
34.0ms
(* (* y z) z)

series108.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(+ x (* (* y z) z))
50.0ms
(* (* y z) z)

simplify107.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 3 (103.0ms)

IterNodesCost
0167152
1756130
23750130
35002129

prune103.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

4.3b
(fma y (* z z) 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 (* z z) x)

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(fma y (* z z) x)

simplify41.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03042
17537
223237
389337
4500137

prune43.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* y z) z)
0.2b
(* (sqrt (* (* y z) z)) (sqrt (* (* y z) z)))
18.7b
(sqrt (* (* y z) z))
18.7b
(sqrt (* (* y z) z))

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
17×pow-prod-up
14×pow1/2
11×add-exp-log add-sqr-sqrt pow-sqr add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity
7×associate-*r*
6×sqrt-prod
5×associate-*l*
4×expm1-log1p-u swap-sqr prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×*-commutative
1×pow2 pow-plus sqrt-unprod rem-square-sqrt unswap-sqr
Counts
4 → 116
Calls
4 calls:
18.0ms
(* (* y z) z)
88.0ms
(* (sqrt (* (* y z) z)) (sqrt (* (* y z) z)))
13.0ms
(sqrt (* (* y z) z))
16.0ms
(sqrt (* (* y z) z))

series205.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (* y z) z)
60.0ms
(* (sqrt (* (* y z) z)) (sqrt (* (* y z) z)))
62.0ms
(sqrt (* (* y z) z))
59.0ms
(sqrt (* (* y z) z))

simplify51.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0244421
11277364
25001341

prune280.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

2.3b
(sqrt (sqrt (* (* y z) z)))
18.7b
(sqrt (* (* y z) z))
18.7b
(sqrt (* (* y z) z))
18.7b
(sqrt (* (* y z) z))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
29×pow1
17×sqrt-pow1
12×pow-prod-down
8×sqrt-prod
6×add-sqr-sqrt
5×add-cube-cbrt *-un-lft-identity pow1/2
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
1×rem-sqrt-square
Counts
4 → 62
Calls
4 calls:
15.0ms
(sqrt (sqrt (* (* y z) z)))
13.0ms
(sqrt (* (* y z) z))
13.0ms
(sqrt (* (* y z) z))
13.0ms
(sqrt (* (* y z) z))

series531.0ms

Counts
4 → 12
Calls
4 calls:
351.0ms
(sqrt (sqrt (* (* y z) z)))
61.0ms
(sqrt (* (* y z) z))
61.0ms
(sqrt (* (* y z) z))
59.0ms
(sqrt (* (* y z) z))

simplify135.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0222340
1736291
23780278
35001278

prune389.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes118.0ms

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
093
193

end0.0ms

sample445.0ms

Algorithm
intervals
Results
234.0ms10628×body80valid