Details

Time bar (total: 2.8s)

sample18.0ms

Algorithm
intervals
Results
8.0ms327×body80valid

simplify35.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0134
1204
2344
3514
4584
5644
6814
71124
81594
92734
103704
114284
124504
134654
144654

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x 1.0) z)
0.0b
(+ (* x y) (* (- x 1.0) z))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*l*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
3×associate-*r*
2×associate-*l/
1×+-commutative flip3-- flip3-+ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 33
Calls
2 calls:
6.0ms
(* (- x 1.0) z)
4.0ms
(+ (* x y) (* (- x 1.0) z))

series61.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* (- x 1.0) z)
29.0ms
(+ (* x y) (* (- x 1.0) z))

simplify97.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0187183
1775166
24041166
35001166

prune72.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ (* x y) (* (- x 1.0) z)))
0.5b
(cbrt (+ (* x y) (* (- x 1.0) z)))
0.5b
(cbrt (+ (* x y) (* (- x 1.0) z)))
0.5b
(* (cbrt (+ (* x y) (* (- x 1.0) z))) (cbrt (+ (* x y) (* (- x 1.0) z))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
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 → 87
Calls
4 calls:
3.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))
3.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))
3.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))
10.0ms
(* (cbrt (+ (* x y) (* (- x 1.0) z))) (cbrt (+ (* x y) (* (- x 1.0) z))))

series648.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))
149.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))
153.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))
195.0ms
(* (cbrt (+ (* x y) (* (- x 1.0) z))) (cbrt (+ (* x y) (* (- x 1.0) z))))

simplify41.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
03171282
110441201
250011093

prune241.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
3.4b
(* (- (* x x) (* 1.0 1.0)) z)
7.1b
(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt
5×pow1 add-log-exp
4×times-frac associate-*l* associate-*l/ associate-/r*
3×associate-*r*
2×cbrt-undiv flip3-- flip3-+ div-exp prod-exp associate-/r/ flip-- cbrt-unprod flip-+ associate-/l/ distribute-lft-out
1×+-commutative frac-2neg pow-prod-down clear-num sum-log *-commutative div-inv associate-/l* difference-of-squares unswap-sqr
Counts
3 → 59
Calls
3 calls:
7.0ms
(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
6.0ms
(* (- (* x x) (* 1.0 1.0)) z)
9.0ms
(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

series151.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
40.0ms
(* (- (* x x) (* 1.0 1.0)) z)
59.0ms
(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

simplify52.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0370531
11763466
25001457

prune144.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (- x 1.0) z) (* (- x 1.0) z))
0.3b
(* (* x y) (* x y))
3.9b
(- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z)))
26.9b
(/ (- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z))) (- (* x y) (* (- x 1.0) z)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
82×pow1
34×pow-prod-down
30×add-exp-log add-cbrt-cube
16×prod-exp cbrt-unprod
14×associate-*l/
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×times-frac
9×flip3-- flip--
8×pow-sqr pow-prod-up
6×add-log-exp
5×difference-of-squares
4×frac-times pow-plus associate-/l*
3×associate-/r*
2×pow2 associate-*r/ swap-sqr associate-*r* associate-*l* associate-/r/ *-commutative associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
4 → 125
Calls
4 calls:
12.0ms
(* (* (- x 1.0) z) (* (- x 1.0) z))
6.0ms
(* (* x y) (* x y))
6.0ms
(- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z)))
11.0ms
(/ (- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z))) (- (* x y) (* (- x 1.0) z)))

series261.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (* (- x 1.0) z) (* (- x 1.0) z))
34.0ms
(* (* x y) (* x y))
81.0ms
(- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z)))
109.0ms
(/ (- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z))) (- (* x y) (* (- x 1.0) z)))

simplify87.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
05591312
128851112
250011090

prune210.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes72.0ms

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
0114
1114

end0.0ms

sample470.0ms

Algorithm
intervals
Results
248.0ms10130×body80valid