Details

Time bar (total: 2.6s)

sample25.0ms

Algorithm
intervals
Results
11.0ms393×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1334
2644
3794
4794

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (* x x) (* (* y 4.0) z))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt sub-neg flip3-- *-un-lft-identity fma-neg diff-log prod-diff add-cbrt-cube flip-- log1p-expm1-u
Counts
1 → 16
Calls
1 calls:
9.0ms
(- (* x x) (* (* y 4.0) z))

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(- (* x x) (* (* y 4.0) z))

simplify80.0ms

Algorithm
egg-herbie
Counts
19 → 19
Iterations

Useful iterations: 3 (77.0ms)

IterNodesCost
0113123
1540111
22732108
35001104

prune42.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma x x (- (* (* y 4.0) z)))

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 x x (- (* (* y 4.0) z)))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(fma x x (- (* (* y 4.0) z)))

simplify76.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
04173
19864
236964
3169664
4500164

prune33.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma x x (- (* (* y 4.0) z)))) (cbrt (fma x x (- (* (* y 4.0) z)))))
2.6b
(cbrt (fma x x (- (* (* y 4.0) z))))
2.6b
(cbrt (fma x x (- (* (* y 4.0) z))))
2.6b
(cbrt (fma x x (- (* (* y 4.0) z))))

rewrite15.0ms

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:
11.0ms
(* (cbrt (fma x x (- (* (* y 4.0) z)))) (cbrt (fma x x (- (* (* y 4.0) z)))))
1.0ms
(cbrt (fma x x (- (* (* y 4.0) z))))
1.0ms
(cbrt (fma x x (- (* (* y 4.0) z))))
1.0ms
(cbrt (fma x x (- (* (* y 4.0) z))))

series438.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(* (cbrt (fma x x (- (* (* y 4.0) z)))) (cbrt (fma x x (- (* (* y 4.0) z)))))
126.0ms
(cbrt (fma x x (- (* (* y 4.0) z))))
102.0ms
(cbrt (fma x x (- (* (* y 4.0) z))))
105.0ms
(cbrt (fma x x (- (* (* y 4.0) z))))

simplify90.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
0204955
1677876
23118804
35001794

prune306.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma x x (- (* (* y 4.0) z)))
0.2b
(* (sqrt (fma x x (- (* (* y 4.0) z)))) (sqrt (fma x x (- (* (* y 4.0) z)))))
2.1b
(sqrt (fma x x (- (* (* y 4.0) z))))
2.1b
(sqrt (fma x x (- (* (* y 4.0) z))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube
5×pow-prod-up
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod fma-udef
Counts
4 → 91
Calls
4 calls:
0.0ms
(fma x x (- (* (* y 4.0) z)))
13.0ms
(* (sqrt (fma x x (- (* (* y 4.0) z)))) (sqrt (fma x x (- (* (* y 4.0) z)))))
1.0ms
(sqrt (fma x x (- (* (* y 4.0) z))))
2.0ms
(sqrt (fma x x (- (* (* y 4.0) z))))

series278.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(fma x x (- (* (* y 4.0) z)))
53.0ms
(* (sqrt (fma x x (- (* (* y 4.0) z)))) (sqrt (fma x x (- (* (* y 4.0) z)))))
84.0ms
(sqrt (fma x x (- (* (* y 4.0) z))))
82.0ms
(sqrt (fma x x (- (* (* y 4.0) z))))

simplify149.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 3 (141.0ms)

IterNodesCost
0161682
1564608
23305580
35002561

prune196.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes87.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0144
1224
2224

end0.0ms

sample601.0ms

Algorithm
intervals
Results
268.0ms12320×body80valid