Details

Time bar (total: 4.4s)

sample28.0ms

Algorithm
intervals
Results
7.0ms265×body80valid
7.0ms282×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 1 expressions with local error:

0.2b
(* y (sqrt z))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×associate-*r*
4×add-cube-cbrt *-un-lft-identity sqrt-prod
3×pow1 add-exp-log associate-*l* add-cbrt-cube
2×unswap-sqr
1×pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp
Counts
1 → 22
Calls
1 calls:
5.0ms
(* y (sqrt z))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(* y (sqrt z))

simplify89.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0148113
1603100
2285094
3500194

prune61.0ms

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)))

rewrite22.0ms

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:
2.0ms
(sqrt (sqrt z))
2.0ms
(sqrt (sqrt z))
6.0ms
(* y (sqrt (sqrt z)))
9.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series411.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(sqrt (sqrt z))
140.0ms
(sqrt (sqrt z))
84.0ms
(* y (sqrt (sqrt z)))
46.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify45.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0336516
11470454
25002427

prune249.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

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:
2.0ms
(sqrt (sqrt z))
9.0ms
(* y (pow (/ 1 z) -1/4))
5.0ms
(pow (/ 1 z) -1/4)
11.0ms
(* (* y (pow (/ 1 z) -1/4)) (sqrt (sqrt z)))

series462.0ms

Counts
4 → 12
Calls
4 calls:
139.0ms
(sqrt (sqrt z))
66.0ms
(* y (pow (/ 1 z) -1/4))
174.0ms
(pow (/ 1 z) -1/4)
83.0ms
(* (* 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

prune313.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (/ 1 z)) (cbrt (/ 1 z)))
0.9b
(cbrt (/ 1 z))
0.9b
(cbrt (/ 1 z))
0.9b
(cbrt (/ 1 z))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
119×cbrt-prod
97×add-sqr-sqrt
79×times-frac
67×*-un-lft-identity
57×add-cube-cbrt
18×swap-sqr
16×associate-*r* associate-*l* unswap-sqr
11×pow1
9×pow1/3 div-inv
7×cbrt-div
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 153
Calls
4 calls:
16.0ms
(* (cbrt (/ 1 z)) (cbrt (/ 1 z)))
3.0ms
(cbrt (/ 1 z))
3.0ms
(cbrt (/ 1 z))
3.0ms
(cbrt (/ 1 z))

series901.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(* (cbrt (/ 1 z)) (cbrt (/ 1 z)))
173.0ms
(cbrt (/ 1 z))
345.0ms
(cbrt (/ 1 z))
188.0ms
(cbrt (/ 1 z))

simplify41.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
02191142
18971034
25002874

prune495.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes219.0ms

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

sample800.0ms

Algorithm
intervals
Results
241.0ms8513×body80valid
220.0ms8499×body80nan