Details

Time bar (total: 2.7s)

sample18.0ms

Algorithm
intervals
Results
6.0ms303×body80valid

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 7 (22.0ms)

IterNodesCost
0163
1243
2383
3453
4533
5573
6673
73092
821252
950012

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

4.1b
(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:
0.0ms
(fma (/ y z) x x)

series27.0ms

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

simplify160.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
02644
16239
220539
384939
4478539
5500139

prune32.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ y z) x) x)
7.8b
(* (/ y z) x)

rewrite27.0ms

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:
11.0ms
(+ (* (/ y z) x) x)
15.0ms
(* (/ y z) x)

series43.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(+ (* (/ y z) x) x)
20.0ms
(* (/ y z) x)

simplify110.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 3 (101.0ms)

IterNodesCost
0224212
1833195
23624193
35001191

prune124.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.6b
(* (cbrt z) (cbrt z))
2.2b
(* (/ y (cbrt z)) x)
4.0b
(* (/ 1 (* (cbrt z) (cbrt z))) (* (/ y (cbrt z)) x))

rewrite115.0ms

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*
pow1/3 unswap-sqr
rec-exp 1-exp swap-sqr pow-prod-down
expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
*-commutative
pow-sqr pow-prod-up div-inv
pow2 frac-times pow-plus associate-*r/
Counts
4 → 152
Calls
4 calls:
1.0ms
(cbrt z)
11.0ms
(* (cbrt z) (cbrt z))
19.0ms
(* (/ y (cbrt z)) x)
74.0ms
(* (/ 1 (* (cbrt z) (cbrt z))) (* (/ y (cbrt z)) x))

series575.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(cbrt z)
213.0ms
(* (cbrt z) (cbrt z))
117.0ms
(* (/ y (cbrt z)) x)
48.0ms
(* (/ 1 (* (cbrt z) (cbrt z))) (* (/ y (cbrt z)) x))

simplify98.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
05471013
12781770
25003703

prune389.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (* x y) z) x)
5.0b
(/ (* x y) z)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
add-exp-log fma-def add-cbrt-cube
add-sqr-sqrt add-cube-cbrt times-frac
add-log-exp
associate-/r*
pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u div-inv
+-commutative frac-2neg flip3-+ prod-exp clear-num sum-log cbrt-unprod flip-+ distribute-lft-out associate-/l*
Counts
2 → 44
Calls
2 calls:
20.0ms
(+ (/ (* x y) z) x)
10.0ms
(/ (* x y) z)

series47.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(+ (/ (* x y) z) x)
20.0ms
(/ (* x y) z)

simplify101.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 3 (96.0ms)

IterNodesCost
0175174
1757157
23441151
35001150

prune115.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes97.0ms

Accuracy

63% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 4.6b

bsearch58.0ms

Steps
ItersRangePoint
9
7.446768099027904e+77
4.8182154283657126e+86
4.243229654236487e+84
8
-525094248057457.3
-92979007833.71625
-105199849494522.69

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0226
1226

end0.0ms

sample454.0ms

Algorithm
intervals
Results
200.0ms9528×body80valid