Details

Time bar (total: 2.5s)

sample25.0ms

Algorithm
intervals
Results
15.0ms328×body80valid

simplify34.0ms

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

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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:
9.0ms
(* (- x 1.0) z)
3.0ms
(+ (* x y) (* (- x 1.0) z))

series64.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* (- x 1.0) z)
30.0ms
(+ (* x y) (* (- x 1.0) z))

simplify100.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0187183
1775166
24041166
35001166

prune73.0ms

Pruning

4 alts after pruning (3 fresh and 1 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)))
4.1b
(* (- (* x x) (* 1.0 1.0)) z)
5.7b
(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

rewrite32.0ms

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:
12.0ms
(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
9.0ms
(* (- (* x x) (* 1.0 1.0)) z)
9.0ms
(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

series149.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
44.0ms
(* (- (* x x) (* 1.0 1.0)) z)
56.0ms
(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

simplify50.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0370531
11763466
25001457

prune147.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (* (* (- (* x x) (* 1.0 1.0)) z) (/ 1 (+ x 1.0))))
0.0b
(/ 1 (+ x 1.0))
4.1b
(* (- (* x x) (* 1.0 1.0)) z)
5.7b
(* (* (- (* x x) (* 1.0 1.0)) z) (/ 1 (+ x 1.0)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
32×add-exp-log
25×add-sqr-sqrt
24×times-frac
23×add-cube-cbrt
21×associate-*r*
20×add-cbrt-cube
13×prod-exp
12×pow1
8×associate-*l/
7×cbrt-unprod distribute-lft-out
6×div-exp add-log-exp
5×associate-*l*
4×pow-prod-down associate-/r* associate-/r/
3×cbrt-undiv rec-exp flip3-- flip3-+ 1-exp flip-- flip-+ associate-/l*
2×frac-times *-commutative div-inv
1×+-commutative pow-flip frac-2neg associate-*r/ clear-num sum-log un-div-inv inv-pow difference-of-squares unswap-sqr
Counts
4 → 116
Calls
4 calls:
3.0ms
(+ (* x y) (* (* (- (* x x) (* 1.0 1.0)) z) (/ 1 (+ x 1.0))))
5.0ms
(/ 1 (+ x 1.0))
9.0ms
(* (- (* x x) (* 1.0 1.0)) z)
27.0ms
(* (* (- (* x x) (* 1.0 1.0)) z) (/ 1 (+ x 1.0)))

series182.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(+ (* x y) (* (* (- (* x x) (* 1.0 1.0)) z) (/ 1 (+ x 1.0))))
24.0ms
(/ 1 (+ x 1.0))
41.0ms
(* (- (* x x) (* 1.0 1.0)) z)
59.0ms
(* (* (- (* x x) (* 1.0 1.0)) z) (/ 1 (+ x 1.0)))

simplify77.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
0545939
12787800
25001764

prune238.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (* (- x 1.0) z))
0.1b
(sqrt (+ (* x y) (* (- x 1.0) z)))
0.1b
(sqrt (+ (* x y) (* (- x 1.0) z)))
0.3b
(* (sqrt (+ (* x y) (* (- x 1.0) z))) (sqrt (+ (* x y) (* (- x 1.0) z))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
3.0ms
(+ (* x y) (* (- x 1.0) z))
3.0ms
(sqrt (+ (* x y) (* (- x 1.0) z)))
3.0ms
(sqrt (+ (* x y) (* (- x 1.0) z)))
19.0ms
(* (sqrt (+ (* x y) (* (- x 1.0) z))) (sqrt (+ (* x y) (* (- x 1.0) z))))

series238.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(+ (* x y) (* (- x 1.0) z))
87.0ms
(sqrt (+ (* x y) (* (- x 1.0) z)))
85.0ms
(sqrt (+ (* x y) (* (- x 1.0) z)))
35.0ms
(* (sqrt (+ (* x y) (* (- x 1.0) z))) (sqrt (+ (* x y) (* (- x 1.0) z))))

simplify45.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0264946
1991850
25002818

prune194.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes75.0ms

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

sample686.0ms

Algorithm
intervals
Results
477.0ms10104×body80valid