Details

Time bar (total: 3.3s)

sample30.0ms

Algorithm
intervals
Results
20.0ms321×body80valid

simplify56.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 7 (13.0ms)

IterNodesCost
0163
1243
2383
3453
4533
5573
6673
73092
821252
950012

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

2.5b
(fma (/ y z) x x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (/ y z) x x)

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(fma (/ y z) x x)

simplify142.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02644
16239
220539
384939
4478539
5500139

prune34.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ y z) x) x)
6.4b
(* (/ y z) x)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*l*
11×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
4×pow1 add-log-exp
3×associate-*r*
2×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u unswap-sqr
1×cbrt-undiv +-commutative distribute-rgt-out fma-def distribute-lft1-in flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv
Counts
2 → 50
Calls
2 calls:
4.0ms
(+ (* (/ y z) x) x)
8.0ms
(* (/ y z) x)

series46.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(+ (* (/ y z) x) x)
20.0ms
(* (/ y z) x)

simplify93.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 3 (89.0ms)

IterNodesCost
0224212
1833195
23624193
35001191

prune106.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.2b
(* (* (/ y z) (* (cbrt x) (cbrt x))) (cbrt x))
5.4b
(* (/ y z) (* (cbrt x) (cbrt x)))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log
21×add-cbrt-cube
18×pow1 add-sqr-sqrt
17×prod-exp cbrt-unprod
15×add-cube-cbrt *-un-lft-identity
14×associate-*l*
10×times-frac
9×cbrt-prod pow-prod-down
7×associate-*r*
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×associate-*l/
2×pow1/3 *-commutative unswap-sqr
1×div-inv
Counts
4 → 94
Calls
4 calls:
0.0ms
(cbrt x)
1.0ms
(cbrt x)
46.0ms
(* (* (/ y z) (* (cbrt x) (cbrt x))) (cbrt x))
15.0ms
(* (/ y z) (* (cbrt x) (cbrt x)))

series517.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt x)
179.0ms
(cbrt x)
42.0ms
(* (* (/ y z) (* (cbrt x) (cbrt x))) (cbrt x))
115.0ms
(* (/ y z) (* (cbrt x) (cbrt x)))

simplify51.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0343652
11555478
25001431

prune253.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.2b
(* (* (/ y z) (* (cbrt x) (cbrt x))) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))))
5.4b
(* (/ y z) (* (cbrt x) (cbrt x)))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
57×add-exp-log
35×add-cbrt-cube
33×prod-exp cbrt-unprod
30×pow1
18×pow-prod-down
16×add-sqr-sqrt
14×associate-*l*
13×add-cube-cbrt *-un-lft-identity
10×times-frac
6×cbrt-undiv cbrt-prod div-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*l/
2×pow1/3 associate-*r* *-commutative unswap-sqr
1×div-inv
Counts
4 → 102
Calls
4 calls:
0.0ms
(cbrt x)
1.0ms
(cbrt x)
57.0ms
(* (* (/ y z) (* (cbrt x) (cbrt x))) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))))
16.0ms
(* (/ y z) (* (cbrt x) (cbrt x)))

series533.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt x)
190.0ms
(cbrt x)
44.0ms
(* (* (/ y z) (* (cbrt x) (cbrt x))) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))))
118.0ms
(* (/ y z) (* (cbrt x) (cbrt x)))

simplify58.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
04111064
11839769
25002721

prune282.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes98.0ms

Accuracy

80.8% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 3.1b

bsearch1.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 2 (1.0ms)

IterNodesCost
02524
12824
23417
33717
44317
55417
66117
76217
86217

end0.0ms

sample748.0ms

Algorithm
intervals
Results
532.0ms9544×body80valid