Details

Time bar (total: 5.1s)

sample46.0ms

Algorithm
intervals
Results
16.0ms272×body80valid
14.0ms286×body80nan

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0215
1475
2715
31035
41245
51385
61485
71485

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* y (sqrt z)))
0.3b
(* y (sqrt z))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
6×associate-*r*
5×add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log sqrt-prod add-cbrt-cube add-log-exp
3×associate-*l*
2×unswap-sqr
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+
Counts
2 → 33
Calls
2 calls:
2.0ms
(+ x (* y (sqrt z)))
5.0ms
(* y (sqrt z))

series86.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(+ x (* y (sqrt z)))
49.0ms
(* y (sqrt z))

simplify126.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0219188
1829168
23837161
35002161

prune102.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt z))
0.1b
(sqrt (sqrt z))
0.3b
(* y (sqrt (sqrt z)))
0.3b
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
41×sqrt-prod
25×add-sqr-sqrt
18×associate-*r*
15×pow1 add-cube-cbrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
8×sqrt-pow1
4×rem-sqrt-square pow1/2 associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×unswap-sqr
2×*-commutative
Counts
4 → 88
Calls
4 calls:
4.0ms
(sqrt (sqrt z))
1.0ms
(sqrt (sqrt z))
7.0ms
(* y (sqrt (sqrt z)))
17.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series416.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(sqrt (sqrt z))
140.0ms
(sqrt (sqrt z))
87.0ms
(* y (sqrt (sqrt z)))
45.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify50.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0336516
11470454
25002427

prune238.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite9.0ms

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×add-cbrt-cube 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 → 73
Calls
4 calls:
6.0ms
(* (cbrt z) (cbrt z))
0.0ms
(cbrt z)
0.0ms
(cbrt z)
1.0ms
(cbrt z)

series793.0ms

Counts
4 → 12
Calls
4 calls:
217.0ms
(* (cbrt z) (cbrt z))
193.0ms
(cbrt z)
187.0ms
(cbrt z)
196.0ms
(cbrt z)

simplify92.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (87.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune360.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (sqrt z))
0.6b
(cbrt (sqrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×sqrt-prod
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 50
Calls
4 calls:
1.0ms
(cbrt (sqrt z))
1.0ms
(cbrt (sqrt z))
0.0ms
(cbrt z)
1.0ms
(cbrt z)

series712.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(cbrt (sqrt z))
163.0ms
(cbrt (sqrt z))
188.0ms
(cbrt z)
196.0ms
(cbrt z)

simplify50.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 3 (46.0ms)

IterNodesCost
0106242
1279224
21177210
35002208

prune312.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes303.0ms

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
0135
1135

end0.0ms

sample1.3s

Algorithm
intervals
Results
530.0ms8489×body80valid
419.0ms8482×body80nan