Details

Time bar (total: 2.3s)

sample21.0ms

Algorithm
intervals
Results
10.0ms337×body80valid

simplify56.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0114
1184
2324
3474
4574
5754
61094
71784
83974
913694
1050014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (- z x)))
0.0b
(* y (- z x))
11.6b
(/ (+ x (* y (- z x))) z)

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×*-un-lft-identity
13×add-cube-cbrt
9×times-frac
7×add-exp-log add-cbrt-cube
5×pow1 associate-*r* add-log-exp
4×distribute-rgt-in sub-neg associate-+r+ distribute-lft-in
3×associate-*l* associate-/r* associate-/l*
2×flip3-+ associate-*r/ flip-+ associate-/l/
1×cbrt-undiv +-commutative flip3-- frac-2neg div-exp pow-prod-down prod-exp clear-num sum-log *-commutative flip-- cbrt-unprod div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 70
Calls
3 calls:
9.0ms
(+ x (* y (- z x)))
20.0ms
(* y (- z x))
24.0ms
(/ (+ x (* y (- z x))) z)

series101.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(+ x (* y (- z x)))
31.0ms
(* y (- z x))
39.0ms
(/ (+ x (* y (- z x))) z)

simplify136.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0259420
11042388
24783388
35001388

prune140.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 4.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log add-cbrt-cube
6×*-un-lft-identity
4×add-sqr-sqrt add-cube-cbrt add-log-exp
3×times-frac associate-/r*
2×pow1 cbrt-undiv div-exp
1×+-commutative frac-2neg flip3-+ prod-exp clear-num sum-log cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
2 → 33
Calls
2 calls:
15.0ms
(+ (/ x z) y)
9.0ms
(/ (* x y) z)

series35.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(+ (/ x z) y)
17.0ms
(/ (* x y) z)

simplify82.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0177143
1744124
23530123
35003123

prune66.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ x z) y)
3.4b
(* (/ x z) y)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*l*
12×*-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×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out
Counts
2 → 44
Calls
2 calls:
17.0ms
(+ (/ x z) y)
14.0ms
(* (/ x z) y)

series34.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(+ (/ x z) y)
18.0ms
(* (/ x z) y)

simplify65.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0208182
1791167
23054165
35002165

prune85.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ x z)) (cbrt (/ x z)))
8.5b
(cbrt (/ x z))
8.5b
(cbrt (/ x z))
8.5b
(cbrt (/ x z))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 144
Calls
4 calls:
28.0ms
(* (cbrt (/ x z)) (cbrt (/ x z)))
2.0ms
(cbrt (/ x z))
2.0ms
(cbrt (/ x z))
2.0ms
(cbrt (/ x z))

series247.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(* (cbrt (/ x z)) (cbrt (/ x z)))
56.0ms
(cbrt (/ x z))
57.0ms
(cbrt (/ x z))
54.0ms
(cbrt (/ x z))

simplify81.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 3 (70.0ms)

IterNodesCost
02601109
19021061
235251016
35001992

prune430.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes49.0ms

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
095
195

end0.0ms

sample511.0ms

Algorithm
intervals
Results
240.0ms10123×body80valid