Details

Time bar (total: 4.4s)

sample27.0ms

Algorithm
intervals
Results
7.0ms270×body80valid
6.0ms263×body80nan

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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)))
0.2b
(* 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))

series74.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(+ x (* y (sqrt z)))
43.0ms
(* y (sqrt z))

simplify111.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0219188
1829168
23837161
35002161

prune109.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt z))
0.1b
(sqrt (sqrt z))
0.2b
(* y (sqrt (sqrt z)))
0.3b
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite29.0ms

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)))
17.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series420.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(sqrt (sqrt z))
137.0ms
(sqrt (sqrt z))
78.0ms
(* y (sqrt (sqrt z)))
62.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify43.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0336516
11470454
25002427

prune232.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (/ 1 z) -1/4)
0.1b
(sqrt (sqrt z))
0.2b
(* y (pow (/ 1 z) -1/4))
0.3b
(* (* y (pow (/ 1 z) -1/4)) (sqrt (sqrt z)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
41×add-exp-log
38×add-sqr-sqrt
29×unpow-prod-down
27×*-un-lft-identity
26×add-cube-cbrt associate-*r*
20×times-frac
19×prod-exp sqrt-prod
12×pow-exp
11×add-cbrt-cube
10×pow1
6×div-exp
5×unswap-sqr
4×sqrt-pow1 associate-*l* cbrt-unprod add-log-exp
3×pow-to-exp rec-exp pow-unpow pow-pow 1-exp sqr-pow
2×rem-sqrt-square pow1/2 *-commutative div-inv
1×pow-flip pow-prod-down inv-pow
Counts
4 → 119
Calls
4 calls:
4.0ms
(pow (/ 1 z) -1/4)
1.0ms
(sqrt (sqrt z))
15.0ms
(* y (pow (/ 1 z) -1/4))
35.0ms
(* (* y (pow (/ 1 z) -1/4)) (sqrt (sqrt z)))

series513.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(pow (/ 1 z) -1/4)
173.0ms
(sqrt (sqrt z))
84.0ms
(* y (pow (/ 1 z) -1/4))
84.0ms
(* (* y (pow (/ 1 z) -1/4)) (sqrt (sqrt z)))

simplify65.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0573745
12575663
25001661

prune355.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (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)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series762.0ms

Counts
4 → 12
Calls
4 calls:
201.0ms
(* (cbrt z) (cbrt z))
192.0ms
(cbrt z)
185.0ms
(cbrt z)
183.0ms
(cbrt z)

simplify90.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune356.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes281.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1135

end0.0ms

sample776.0ms

Algorithm
intervals
Results
223.0ms8535×body80valid
220.0ms8500×body80nan