Details

Time bar (total: 4.6s)

sample36.0ms

Algorithm
intervals
Results
10.0ms289×body80valid
7.0ms259×body80nan

simplify59.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0256
1516
21046
31916
42626
53536
64666
77126
811106
912566
1012576
1112576

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
0.0b
(+ (- 1.0 z) (log z))
0.2b
(* y (+ (- 1.0 z) (log z)))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
9×pow1
8×add-sqr-sqrt distribute-lft-out add-log-exp
7×associate-*r*
6×add-cube-cbrt
5×add-exp-log associate-+r+ add-cbrt-cube
4×log-pow distribute-lft-out--
3×log-prod flip3-+ associate-*l* sum-log flip-+
2×+-commutative distribute-rgt-in associate-+l+ distribute-lft-in associate-*r/
1×associate-+l- sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 61
Calls
3 calls:
20.0ms
(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
27.0ms
(+ (- 1.0 z) (log z))
80.0ms
(* y (+ (- 1.0 z) (log z)))

series318.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
172.0ms
(+ (- 1.0 z) (log z))
76.0ms
(* y (+ (- 1.0 z) (log z)))

simplify46.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0359419
11515371
25001370

prune146.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- 1.0 z))
0.1b
(+ (+ (* x 0.5) (* y (- 1.0 z))) (* y (log z)))
0.3b
(* y (log z))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×*-un-lft-identity
12×log-prod
11×add-cube-cbrt
9×associate-*r*
8×pow1 distribute-rgt-in distribute-lft-in add-log-exp
7×add-exp-log add-cbrt-cube
6×associate-+r+ associate-*l*
3×sum-log
2×sub-neg associate-*r/ pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative associate-+l+ flip3-- flip3-+ log-pow flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
3 → 70
Calls
3 calls:
20.0ms
(* y (- 1.0 z))
33.0ms
(+ (+ (* x 0.5) (* y (- 1.0 z))) (* y (log z)))
9.0ms
(* y (log z))

series137.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(* y (- 1.0 z))
65.0ms
(+ (+ (* x 0.5) (* y (- 1.0 z))) (* y (log z)))
39.0ms
(* y (log z))

simplify52.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0344436
11408385
25002367

prune164.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

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)

rewrite16.0ms

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:
11.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series746.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(* (cbrt z) (cbrt z))
179.0ms
(cbrt z)
187.0ms
(cbrt z)
182.0ms
(cbrt z)

simplify87.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (83.0ms)

IterNodesCost
0115288
1472261
22959238
35003236

prune275.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (pow z 1/3) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
4.9b
(pow z 1/3)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
12×cbrt-prod add-cube-cbrt *-un-lft-identity
10×add-exp-log
8×unpow-prod-down
7×associate-*l*
6×associate-*r* unswap-sqr
5×pow1 pow1/3 add-cbrt-cube
4×add-log-exp sqr-pow
3×pow-unpow prod-exp
2×pow-to-exp unpow1/3 pow-exp cbrt-unprod
1×pow-pow pow-prod-down pow-sqr *-commutative pow-prod-up
Counts
4 → 75
Calls
4 calls:
14.0ms
(* (pow z 1/3) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
3.0ms
(pow z 1/3)

series747.0ms

Counts
4 → 12
Calls
4 calls:
201.0ms
(* (pow z 1/3) (cbrt z))
185.0ms
(cbrt z)
182.0ms
(cbrt z)
179.0ms
(pow z 1/3)

simplify113.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 3 (108.0ms)

IterNodesCost
0185299
1684224
23894205
35001197

prune286.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes74.0ms

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
02513
12513

end0.0ms

sample1.1s

Algorithm
intervals
Results
319.0ms9093×body80valid
243.0ms9029×body80nan