Details

Time bar (total: 2.7s)

sample20.0ms

Algorithm
intervals
Results
10.0ms339×body80valid

simplify56.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 10 (54.0ms)

IterNodesCost
0114
1204
2364
3584
4784
51014
61384
72254
85104
916824
1050013

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma (- 1 y) (/ x z) y)

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 (- 1 y) (/ x z) y)

series27.0ms

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

simplify40.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
03866
18259
225653
3131353
4500153

prune31.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

2.7b
(* (- 1 y) (/ x z))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
10×times-frac
add-cube-cbrt
add-exp-log associate-*l* add-cbrt-cube
pow1
frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod difference-of-squares unswap-sqr
cbrt-undiv expm1-log1p-u associate-*r/ div-exp pow-prod-down *-commutative log1p-expm1-u div-inv distribute-lft-out-- add-log-exp
Counts
1 → 41
Calls
1 calls:
15.0ms
(* (- 1 y) (/ x z))

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(* (- 1 y) (/ x z))

simplify40.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0242219
11162197
25001193

prune130.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt x)
0.7b
(cbrt x)
0.7b
(cbrt x)
1.8b
(* (- 1 y) (/ (* (cbrt x) (cbrt x)) (* (cbrt z) (cbrt z))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
15×add-sqr-sqrt
14×add-cbrt-cube
12×*-un-lft-identity
cbrt-prod add-cube-cbrt prod-exp cbrt-unprod
pow1 associate-*l*
associate-*r*
cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
pow1/3
frac-times flip3-- times-frac associate-*l/ flip-- difference-of-squares unswap-sqr
associate-*r/ pow-prod-down *-commutative div-inv distribute-lft-out--
Counts
4 → 78
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
0.0ms
(cbrt x)
28.0ms
(* (- 1 y) (/ (* (cbrt x) (cbrt x)) (* (cbrt z) (cbrt z))))

series818.0ms

Counts
4 → 12
Calls
4 calls:
308.0ms
(cbrt x)
224.0ms
(cbrt x)
176.0ms
(cbrt x)
110.0ms
(* (- 1 y) (/ (* (cbrt x) (cbrt x)) (* (cbrt z) (cbrt z))))

simplify54.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0392651
11809527
25001483

prune247.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1 y))
0.0b
(sqrt (- 1 y))
0.3b
(* (sqrt (- 1 y)) (* (sqrt (- 1 y)) (/ x z)))
0.6b
(* (sqrt (- 1 y)) (/ x z))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
32×sqrt-div
29×*-un-lft-identity
26×sqrt-prod
18×add-exp-log frac-times associate-*l* add-cbrt-cube
17×add-cube-cbrt
16×flip3-- flip--
14×associate-*r*
13×pow1
11×times-frac
10×associate-*l/
associate-*r/
difference-of-squares
prod-exp cbrt-unprod
expm1-log1p-u pow-prod-down log1p-expm1-u distribute-lft-out-- add-log-exp unswap-sqr
cbrt-undiv rem-sqrt-square sqrt-pow1 pow1/2 div-exp *-commutative
div-inv
Counts
4 → 131
Calls
4 calls:
6.0ms
(sqrt (- 1 y))
6.0ms
(sqrt (- 1 y))
33.0ms
(* (sqrt (- 1 y)) (* (sqrt (- 1 y)) (/ x z)))
18.0ms
(* (sqrt (- 1 y)) (/ x z))

series160.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(sqrt (- 1 y))
22.0ms
(sqrt (- 1 y))
33.0ms
(* (sqrt (- 1 y)) (* (sqrt (- 1 y)) (/ x z)))
77.0ms
(* (sqrt (- 1 y)) (/ x z))

simplify61.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0513942
12113817
25002804

prune316.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes59.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124
1124

end0.0ms

sample451.0ms

Algorithm
intervals
Results
250.0ms10048×body80valid