Details

Time bar (total: 2.3s)

sample18.0ms

Algorithm
intervals
Results
9.0ms328×body80valid

simplify114.0ms

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

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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
(* y (+ z x))
3.0ms
(+ x (* y (+ z x)))

series50.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(* y (+ z x))
26.0ms
(+ x (* y (+ z x)))

simplify97.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0186164
1769149
23884149
35001149

prune77.0ms

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 (+ z x)) (cbrt (+ z x)))
0.6b
(cbrt (+ z x))
0.6b
(cbrt (+ z x))
0.6b
(cbrt (+ z x))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
10.0ms
(* (cbrt (+ z x)) (cbrt (+ z x)))
3.0ms
(cbrt (+ z x))
3.0ms
(cbrt (+ z x))
3.0ms
(cbrt (+ z x))

series558.0ms

Counts
4 → 12
Calls
4 calls:
165.0ms
(* (cbrt (+ z x)) (cbrt (+ z x)))
132.0ms
(cbrt (+ z x))
128.0ms
(cbrt (+ z x))
133.0ms
(cbrt (+ z x))

simplify147.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (133.0ms)

IterNodesCost
0247671
1887634
24204584
35002580

prune275.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity sqrt-div
15×add-sqr-sqrt
14×associate-*r*
13×sqrt-prod
12×pow1
11×add-exp-log add-cbrt-cube
10×add-cube-cbrt associate-*r/
9×flip3-+ flip-+
6×add-log-exp
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out
2×associate-*l/ *-commutative unswap-sqr
1×+-commutative rem-sqrt-square sqrt-pow1 pow1/2 sum-log
Counts
4 → 82
Calls
4 calls:
3.0ms
(sqrt (+ z x))
3.0ms
(+ x (* (* y (sqrt (+ z x))) (sqrt (+ z x))))
7.0ms
(* y (sqrt (+ z x)))
11.0ms
(* (* y (sqrt (+ z x))) (sqrt (+ z x)))

series192.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(sqrt (+ z x))
37.0ms
(+ x (* (* y (sqrt (+ z x))) (sqrt (+ z x))))
66.0ms
(* y (sqrt (+ z x)))
49.0ms
(* (* y (sqrt (+ z x))) (sqrt (+ z x)))

simplify52.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0430633
11814524
25001506

prune197.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes64.0ms

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

sample417.0ms

Algorithm
intervals
Results
207.0ms10163×body80valid