Details

Time bar (total: 4.5s)

sample39.0ms

Algorithm
intervals
Results
14.0ms274×body80valid
10.0ms260×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

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

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))

series78.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(+ x (* y (sqrt z)))
42.0ms
(* y (sqrt z))

simplify124.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0219188
1829168
23837161
35002161

prune100.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

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:
1.0ms
(sqrt (sqrt z))
1.0ms
(sqrt (sqrt z))
7.0ms
(* y (sqrt (sqrt z)))
18.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series388.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(sqrt (sqrt z))
135.0ms
(sqrt (sqrt z))
79.0ms
(* y (sqrt (sqrt z)))
41.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify45.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0336520
11470454
25002427

prune247.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* (* (pow z 1/4) y) (sqrt (sqrt z))))
0.1b
(sqrt (sqrt z))
0.3b
(* (pow z 1/4) y)
0.3b
(* (* (pow z 1/4) y) (sqrt (sqrt z)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log add-sqr-sqrt sqrt-prod
12×add-cube-cbrt *-un-lft-identity associate-*r*
11×add-cbrt-cube
10×prod-exp
8×pow1 associate-*l*
6×add-log-exp
4×unpow-prod-down sqrt-pow1 cbrt-unprod
3×unswap-sqr
2×pow-to-exp rem-sqrt-square pow1/2 pow-exp *-commutative sqr-pow
1×+-commutative flip3-+ pow-prod-down sum-log flip-+
Counts
4 → 80
Calls
4 calls:
2.0ms
(+ x (* (* (pow z 1/4) y) (sqrt (sqrt z))))
1.0ms
(sqrt (sqrt z))
6.0ms
(* (pow z 1/4) y)
15.0ms
(* (* (pow z 1/4) y) (sqrt (sqrt z)))

series424.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(+ x (* (* (pow z 1/4) y) (sqrt (sqrt z))))
137.0ms
(sqrt (sqrt z))
95.0ms
(* (pow z 1/4) y)
122.0ms
(* (* (pow z 1/4) y) (sqrt (sqrt z)))

simplify57.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0471563
11928514
25002491

prune245.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize24.0ms

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)

series758.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(* (cbrt z) (cbrt z))
205.0ms
(cbrt z)
177.0ms
(cbrt z)
172.0ms
(cbrt z)

simplify100.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (95.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune315.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes247.0ms

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

sample1.2s

Algorithm
intervals
Results
444.0ms8492×body80valid
333.0ms8538×body80nan