Details

Time bar (total: 4.7s)

sample30.0ms

Algorithm
intervals
Results
8.0ms301×body80nan
7.0ms268×body80valid

simplify19.0ms

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

localize7.0ms

Local error

Found 2 expressions with local error:

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

series85.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(+ x (* y (sqrt z)))
50.0ms
(* y (sqrt z))

simplify126.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0219188
1829168
23837161
35002161

prune105.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (fabs (cbrt z)) y)
0.3b
(* (* (fabs (cbrt z)) y) (sqrt (cbrt z)))
0.5b
(cbrt z)
0.5b
(cbrt z)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×associate-*r*
11×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×cbrt-prod
6×sqrt-prod
4×associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×pow1/3 *-commutative
1×unswap-sqr
Counts
4 → 64
Calls
4 calls:
3.0ms
(* (fabs (cbrt z)) y)
9.0ms
(* (* (fabs (cbrt z)) y) (sqrt (cbrt z)))
0.0ms
(cbrt z)
1.0ms
(cbrt z)

series560.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* (fabs (cbrt z)) y)
141.0ms
(* (* (fabs (cbrt z)) y) (sqrt (cbrt z)))
190.0ms
(cbrt z)
196.0ms
(cbrt z)

simplify99.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (94.0ms)

IterNodesCost
0210392
1952345
23745339
35001334

prune229.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
55×cbrt-prod
43×add-sqr-sqrt
26×sqrt-prod
21×add-cube-cbrt *-un-lft-identity
11×pow1 swap-sqr
9×pow1/3 associate-*r* associate-*l* unswap-sqr
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
10.0ms
(* (cbrt (sqrt z)) (cbrt (sqrt z)))
0.0ms
(cbrt z)
1.0ms
(cbrt (sqrt z))
1.0ms
(cbrt (sqrt z))

series682.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(* (cbrt (sqrt z)) (cbrt (sqrt z)))
188.0ms
(cbrt z)
164.0ms
(cbrt (sqrt z))
162.0ms
(cbrt (sqrt z))

simplify118.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (111.0ms)

IterNodesCost
0166646
1604603
23210550
35002487

prune342.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt (fabs (cbrt z))) (* (sqrt (fabs (cbrt z))) y))
0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(cbrt z)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×associate-*l*
4×add-log-exp
3×pow1/3 pow-prod-down prod-exp sqrt-prod cbrt-unprod
1×associate-*r* *-commutative
Counts
4 → 54
Calls
4 calls:
11.0ms
(* (sqrt (fabs (cbrt z))) (* (sqrt (fabs (cbrt z))) y))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series829.0ms

Counts
4 → 12
Calls
4 calls:
248.0ms
(* (sqrt (fabs (cbrt z))) (* (sqrt (fabs (cbrt z))) y))
189.0ms
(cbrt z)
190.0ms
(cbrt z)
201.0ms
(cbrt z)

simplify83.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0131304
1381247
2923241
31664241
45001241

prune232.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes298.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1135

end0.0ms

sample808.0ms

Algorithm
intervals
Results
235.0ms8532×body80valid
231.0ms8585×body80nan