Details

Time bar (total: 2.8s)

sample15.0ms

Algorithm
intervals
Results
6.0ms300×body80valid

simplify52.0ms

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

localize4.0ms

Local error

Found 1 expressions with local error:

2.7b
(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)

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(fma (/ y z) x x)

simplify138.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02644
16239
220539
384939
4478539
5500139

prune29.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ y z) x) x)
4.7b
(* (/ 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:
23.0ms
(+ (* (/ y z) x) x)
23.0ms
(* (/ y z) x)

simplify88.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0224212
1833195
23624193
35001191

prune112.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(* (cbrt z) (cbrt z))
1.3b
(* (/ y (cbrt z)) x)
2.6b
(* (/ 1 (* (cbrt z) (cbrt z))) (* (/ y (cbrt z)) x))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
89×add-exp-log
47×prod-exp
45×add-sqr-sqrt
35×associate-*l* add-cbrt-cube
29×cbrt-prod add-cube-cbrt *-un-lft-identity
23×times-frac
21×cbrt-unprod
20×div-exp
18×pow1
10×cbrt-undiv associate-*r*
7×pow1/3 unswap-sqr
6×rec-exp 1-exp swap-sqr pow-prod-down
4×expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
3×*-commutative
2×pow-sqr pow-prod-up div-inv
1×pow2 frac-times pow-plus associate-*r/
Counts
4 → 152
Calls
4 calls:
0.0ms
(cbrt z)
6.0ms
(* (cbrt z) (cbrt z))
11.0ms
(* (/ y (cbrt z)) x)
39.0ms
(* (/ 1 (* (cbrt z) (cbrt z))) (* (/ y (cbrt z)) x))

series543.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt z)
198.0ms
(* (cbrt z) (cbrt z))
112.0ms
(* (/ y (cbrt z)) x)
48.0ms
(* (/ 1 (* (cbrt z) (cbrt z))) (* (/ y (cbrt z)) x))

simplify82.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
05471013
12781770
25003703

prune355.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* (cbrt (/ y z)) (cbrt (/ y z))) (* (cbrt (/ y z)) x))
10.4b
(cbrt (/ y z))
10.4b
(cbrt (/ y z))
10.4b
(cbrt (/ y z))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
27×times-frac
25×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×pow1 add-exp-log
15×cbrt-div
10×add-cbrt-cube
9×associate-*l/
8×pow-prod-down prod-exp cbrt-unprod
5×frac-times
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r/ div-inv
1×associate-*r* associate-*l* *-commutative
Counts
4 → 103
Calls
4 calls:
34.0ms
(* (* (cbrt (/ y z)) (cbrt (/ y z))) (* (cbrt (/ y z)) x))
1.0ms
(cbrt (/ y z))
1.0ms
(cbrt (/ y z))
2.0ms
(cbrt (/ y z))

series214.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* (* (cbrt (/ y z)) (cbrt (/ y z))) (* (cbrt (/ y z)) x))
66.0ms
(cbrt (/ y z))
61.0ms
(cbrt (/ y z))
66.0ms
(cbrt (/ y z))

simplify73.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 3 (65.0ms)

IterNodesCost
0270794
1821672
23036622
35001583

prune282.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes127.0ms

Accuracy

50% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 3.7b

bsearch38.0ms

Steps
ItersRangePoint
4
2.2017045375507158e-43
4.159874352537046e-43
3.1943919996762746e-43
6
-5.133625301193784e-62
-5.223827020697316e-63
-1.9968229567179367e-62

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02711
12711

end0.0ms

sample398.0ms

Algorithm
intervals
Results
202.0ms9615×body80valid