Details

Time bar (total: 2.9s)

sample17.0ms

Algorithm
intervals
Results
9.0ms306×body80valid

simplify50.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 7 (12.0ms)

IterNodesCost
0163
1243
2383
3453
4533
5573
6673
73092
821252
950012

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

2.7b
(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)

series26.0ms

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

simplify136.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02644
16239
220539
384939
4478539
5500139

prune30.0ms

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)
5.3b
(* (/ y z) x)

rewrite13.0ms

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)

series42.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(+ (* (/ y z) x) x)
19.0ms
(* (/ y z) x)

simplify87.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 3 (83.0ms)

IterNodesCost
0224212
1833195
23624193
35001191

prune113.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
0.0ms
(cbrt z)
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series708.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt z)
179.0ms
(cbrt y)
179.0ms
(cbrt y)
170.0ms
(cbrt y)

simplify52.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
073172
1149160
2350152
31283152
45001152

prune212.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
1.9b
(* (/ (cbrt y) z) x)
2.8b
(* (/ (* (cbrt y) (cbrt y)) 1) (* (/ (cbrt y) z) x))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
66×add-exp-log
35×add-cbrt-cube
33×prod-exp
30×add-sqr-sqrt
29×associate-*l*
23×times-frac
22×add-cube-cbrt *-un-lft-identity
20×cbrt-unprod
18×div-exp
16×cbrt-prod
11×pow1
10×cbrt-undiv
6×1-exp
4×expm1-log1p-u associate-*r* pow-prod-down associate-*l/ log1p-expm1-u add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative div-inv
1×frac-times associate-*r/
Counts
4 → 117
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
14.0ms
(* (/ (cbrt y) z) x)
24.0ms
(* (/ (* (cbrt y) (cbrt y)) 1) (* (/ (cbrt y) z) x))

series514.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt y)
183.0ms
(cbrt y)
113.0ms
(* (/ (cbrt y) z) x)
42.0ms
(* (/ (* (cbrt y) (cbrt y)) 1) (* (/ (cbrt y) z) x))

simplify66.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0480791
12325609
25001552

prune280.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes77.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01513
11513

end0.0ms

sample401.0ms

Algorithm
intervals
Results
210.0ms9627×body80valid