Details

Time bar (total: 2.3s)

sample17.0ms

Algorithm
intervals
Results
6.0ms332×body80valid

simplify116.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0153
1253
2363
3403
4463
5583
6933
71303
81633
92733
105073
1116183
1250013

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
6.0ms
(+ x (* y (+ z x)))
18.0ms
(* y (+ z x))

series59.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(+ x (* y (+ z x)))
27.0ms
(* y (+ z x))

simplify96.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0186164
1769149
23889149
35003149

prune67.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* y (+ z x))) (cbrt (* y (+ z x))))
2.9b
(cbrt (* y (+ z x)))
2.9b
(cbrt (* y (+ z x)))
2.9b
(cbrt (* y (+ z x)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
22.0ms
(* (cbrt (* y (+ z x))) (cbrt (* y (+ z x))))
6.0ms
(cbrt (* y (+ z x)))
6.0ms
(cbrt (* y (+ z x)))
7.0ms
(cbrt (* y (+ z x)))

series667.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(* (cbrt (* y (+ z x))) (cbrt (* y (+ z x))))
108.0ms
(cbrt (* y (+ z x)))
303.0ms
(cbrt (* y (+ z x)))
112.0ms
(cbrt (* y (+ z x)))

simplify64.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 3 (58.0ms)

IterNodesCost
0254585
1799531
22788474
35001465

prune203.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (sqrt y) (* (sqrt y) (+ z x))))
0.1b
(* (sqrt y) (+ z x))
0.2b
(* (sqrt y) (* (sqrt y) (+ z x)))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt associate-*l*
10×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
9×distribute-rgt-in distribute-lft-in
8×add-cube-cbrt
7×sqrt-prod
6×associate-*r/
5×associate-*r* add-log-exp
4×associate-+r+ pow-prod-down prod-exp cbrt-unprod
3×flip3-+ flip-+
2×*-commutative unswap-sqr
1×+-commutative sum-log distribute-lft-out
Counts
3 → 69
Calls
3 calls:
9.0ms
(+ x (* (sqrt y) (* (sqrt y) (+ z x))))
22.0ms
(* (sqrt y) (+ z x))
33.0ms
(* (sqrt y) (* (sqrt y) (+ z x)))

series161.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(+ x (* (sqrt y) (* (sqrt y) (+ z x))))
75.0ms
(* (sqrt y) (+ z x))
41.0ms
(* (sqrt y) (* (sqrt y) (+ z x)))

simplify49.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0356435
11586355
25002348

prune140.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes63.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093
193

end0.0ms

sample452.0ms

Algorithm
intervals
Results
181.0ms10110×body80valid