Details

Time bar (total: 3.5s)

sample15.0ms

Algorithm
intervals
Results
5.0ms301×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
082
1152
2192
3192

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (* y z))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity fma-neg prod-diff add-log-exp
1×pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log add-cbrt-cube flip-- log1p-expm1-u
Counts
1 → 20
Calls
1 calls:
6.0ms
(- x (* y z))

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(- x (* y z))

simplify76.0ms

Algorithm
egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 3 (26.0ms)

IterNodesCost
09794
129382
2102481
3278267
4500367

prune41.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* y z))
0.0b
(sqrt (- x (* y z)))
0.0b
(sqrt (- x (* y z)))
0.2b
(* (sqrt (- x (* y z))) (sqrt (- x (* y z))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×add-cube-cbrt *-un-lft-identity sqrt-div
10×sqrt-pow1 pow1/2
9×flip3-- flip--
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
5×pow-prod-up
4×expm1-log1p-u frac-times log1p-expm1-u unswap-sqr
3×fma-neg prod-diff pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×pow2 sub-neg pow-plus sqrt-unprod diff-log prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 113
Calls
4 calls:
5.0ms
(- x (* y z))
7.0ms
(sqrt (- x (* y z)))
7.0ms
(sqrt (- x (* y z)))
32.0ms
(* (sqrt (- x (* y z))) (sqrt (- x (* y z))))

series185.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(- x (* y z))
65.0ms
(sqrt (- x (* y z)))
48.0ms
(sqrt (- x (* y z)))
39.0ms
(* (sqrt (- x (* y z))) (sqrt (- x (* y z))))

simplify45.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0277686
11032615
25001592

prune212.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (- x (* y z))))
0.1b
(sqrt (sqrt (- x (* y z))))
0.1b
(* (sqrt (sqrt (- x (* y z)))) (pow (sqrt (sqrt (- x (* y z)))) 3))
0.4b
(pow (sqrt (sqrt (- x (* y z)))) 3)

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
107×sqrt-prod
74×add-sqr-sqrt
36×sqrt-div
27×unpow-prod-down cube-prod
25×add-cube-cbrt *-un-lft-identity
24×associate-*r* unswap-sqr
12×pow1 sqrt-pow1
10×add-exp-log
9×flip3-- associate-*l* flip--
8×cube-div
7×add-cbrt-cube
6×pow1/2
5×pow-pow sqr-pow
4×expm1-log1p-u frac-times rem-sqrt-square log1p-expm1-u add-log-exp
3×pow-unpow prod-exp
2×cube-mult pow-to-exp unpow3 associate-*r/ associate-*l/ pow-exp
1×*-commutative pow-prod-up sqrt-pow2 cbrt-unprod rem-cube-cbrt
Counts
4 → 170
Calls
4 calls:
8.0ms
(sqrt (sqrt (- x (* y z))))
6.0ms
(sqrt (sqrt (- x (* y z))))
62.0ms
(* (sqrt (sqrt (- x (* y z)))) (pow (sqrt (sqrt (- x (* y z)))) 3))
9.0ms
(pow (sqrt (sqrt (- x (* y z)))) 3)

series803.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(sqrt (sqrt (- x (* y z))))
199.0ms
(sqrt (sqrt (- x (* y z))))
38.0ms
(* (sqrt (sqrt (- x (* y z)))) (pow (sqrt (sqrt (- x (* y z)))) 3))
367.0ms
(pow (sqrt (sqrt (- x (* y z)))) 3)

simplify87.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
05221962
123561440
250021285

prune349.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x (* y z)))
0.6b
(cbrt (- x (* y z)))
0.6b
(cbrt (- x (* y z)))
0.7b
(pow (sqrt (sqrt (* (cbrt (- x (* y z))) (cbrt (- x (* y z)))))) 3)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
20×sqrt-pow1
18×cbrt-div
16×sqrt-div
14×pow1
13×pow-pow
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×sqrt-prod
9×cbrt-prod flip3-- pow1/3 flip--
8×cube-div
7×unpow-prod-down cube-prod
5×add-exp-log add-cbrt-cube
4×expm1-log1p-u frac-times log1p-expm1-u add-log-exp
3×pow-unpow
2×pow1/2 associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 cube-mult pow-to-exp pow-plus unpow3 pow-exp sqrt-pow2 rem-cube-cbrt sqr-pow
Counts
4 → 99
Calls
4 calls:
3.0ms
(cbrt (- x (* y z)))
3.0ms
(cbrt (- x (* y z)))
3.0ms
(cbrt (- x (* y z)))
17.0ms
(pow (sqrt (sqrt (* (cbrt (- x (* y z))) (cbrt (- x (* y z)))))) 3)

series455.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(cbrt (- x (* y z)))
107.0ms
(cbrt (- x (* y z)))
107.0ms
(cbrt (- x (* y z)))
134.0ms
(pow (sqrt (sqrt (* (cbrt (- x (* y z))) (cbrt (- x (* y z)))))) 3)

simplify61.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
04821040
11477982
25002968

prune449.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes96.0ms

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
062
162

end0.0ms

sample399.0ms

Algorithm
intervals
Results
152.0ms9149×body80valid