Details

Time bar (total: 2.1s)

sample15.0ms

Algorithm
intervals
Results
6.0ms309×body80valid

simplify53.0ms

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: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

3.2b
(fma (/ y z) x x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
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:
1.0ms
(fma (/ y z) x x)

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(fma (/ y z) x x)

simplify142.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02644
16239
220539
384939
4478539
5500139

prune28.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ y z) x) x)
6.1b
(* (/ y z) x)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*l*
11×*-un-lft-identity
10×add-cube-cbrt times-frac
add-exp-log add-cbrt-cube
pow1 add-log-exp
associate-*r*
expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u unswap-sqr
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:
5.0ms
(+ (* (/ y z) x) x)
6.0ms
(* (/ y z) x)

series44.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(+ (* (/ y z) x) x)
21.0ms
(* (/ y z) x)

simplify88.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0224212
1833195
23624193
35001191

prune108.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.8b
(* (* (/ y z) (* (cbrt x) (cbrt x))) (cbrt x))
5.5b
(* (/ y z) (* (cbrt x) (cbrt x)))

rewrite26.0ms

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
cbrt-prod pow-prod-down
associate-*r*
cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
associate-*l/
pow1/3 *-commutative unswap-sqr
div-inv
Counts
4 → 94
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
12.0ms
(* (* (/ y z) (* (cbrt x) (cbrt x))) (cbrt x))
9.0ms
(* (/ y z) (* (cbrt x) (cbrt x)))

series496.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt x)
168.0ms
(cbrt x)
41.0ms
(* (* (/ y z) (* (cbrt x) (cbrt x))) (cbrt x))
113.0ms
(* (/ y z) (* (cbrt x) (cbrt x)))

simplify47.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0343652
11555478
25001431

prune241.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* y (/ x z)) x)
7.1b
(* y (/ x z))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*r*
10×add-cube-cbrt *-un-lft-identity times-frac
add-exp-log add-cbrt-cube
pow1 add-log-exp
associate-*l*
expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u unswap-sqr
cbrt-undiv +-commutative fma-def flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv
Counts
2 → 48
Calls
2 calls:
9.0ms
(+ (* y (/ x z)) x)
7.0ms
(* y (/ x z))

series38.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(+ (* y (/ x z)) x)
17.0ms
(* y (/ x z))

simplify100.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 3 (96.0ms)

IterNodesCost
0236214
1987197
24326196
35001195

prune100.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes84.0ms

Accuracy

46.5% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 3.5b

bsearch49.0ms

Steps
ItersRangePoint
9
4.010554398835391e-78
1.607813371098077e-70
1.4767020207894247e-74
7
-8.420527105983936e-105
-6.459869044970003e-107
-6.454609646427424e-105

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0246
1246

end0.0ms

sample388.0ms

Algorithm
intervals
Results
201.0ms9604×body80valid