Details

Time bar (total: 2.7s)

sample24.0ms

Algorithm
intervals
Results
15.0ms315×body80valid

simplify69.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0224
1444
21144
32204
43544
55504
616694
750014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.2b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
7.6b
(/ (* x (+ (- y z) 1.0)) z)

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ associate-/l/ distribute-lft-out add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- unswap-sqr
Counts
2 → 47
Calls
2 calls:
39.0ms
(* x (+ (- y z) 1.0))
17.0ms
(/ (* x (+ (- y z) 1.0)) z)

series71.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* x (+ (- y z) 1.0))
38.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify40.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0254285
11225238
25001238

prune94.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x y) z) (* 1.0 (/ x z)))
0.0b
(- (+ (/ (* x y) z) (* 1.0 (/ x z))) x)
4.6b
(/ (* x y) z)

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity
5×add-cube-cbrt
3×pow1 times-frac associate-/r*
2×cbrt-undiv diff-log div-exp sum-log
1×+-commutative sub-neg flip3-- frac-2neg flip3-+ associate-*r/ frac-add prod-exp associate--l+ clear-num flip-- cbrt-unprod flip-+ div-inv associate-/l* distribute-lft-out-- difference-of-squares
Counts
3 → 49
Calls
3 calls:
6.0ms
(+ (/ (* x y) z) (* 1.0 (/ x z)))
40.0ms
(- (+ (/ (* x y) z) (* 1.0 (/ x z))) x)
3.0ms
(/ (* x y) z)

series106.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(+ (/ (* x y) z) (* 1.0 (/ x z)))
38.0ms
(- (+ (/ (* x y) z) (* 1.0 (/ x z))) x)
22.0ms
(/ (* x y) z)

simplify36.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0254367
11124344
25002325

prune109.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x (/ y z)) (* 1.0 (/ x z)))
0.0b
(- (+ (* x (/ y z)) (* 1.0 (/ x z))) x)
6.8b
(* x (/ y z))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×*-un-lft-identity associate-*r*
11×add-cube-cbrt
10×times-frac add-log-exp
8×add-exp-log add-cbrt-cube
5×pow1
3×associate-*r/ associate-*l*
2×diff-log prod-exp sum-log cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative sub-neg flip3-- flip3-+ div-exp pow-prod-down frac-add associate--l+ *-commutative flip-- flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
3 → 60
Calls
3 calls:
4.0ms
(+ (* x (/ y z)) (* 1.0 (/ x z)))
29.0ms
(- (+ (* x (/ y z)) (* 1.0 (/ x z))) x)
7.0ms
(* x (/ y z))

series101.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(+ (* x (/ y z)) (* 1.0 (/ x z)))
38.0ms
(- (+ (* x (/ y z)) (* 1.0 (/ x z))) x)
19.0ms
(* x (/ y z))

simplify44.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0312414
11437392
25001376

prune136.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
2.4b
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×add-cbrt-cube
12×add-sqr-sqrt
9×cbrt-prod add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
6×pow1
5×associate-*r*
4×cbrt-undiv div-exp add-log-exp
3×pow1/3 associate-*l*
2×times-frac unswap-sqr
1×associate-*r/ pow-prod-down *-commutative div-inv
Counts
4 → 63
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
0.0ms
(cbrt y)
20.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

series601.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt y)
172.0ms
(cbrt y)
173.0ms
(cbrt y)
81.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

simplify43.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0301473
11334377
25002344

prune225.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes76.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02016
12016

end0.0ms

sample681.0ms

Algorithm
intervals
Results
476.0ms10095×body80valid