Details

Time bar (total: 4.3s)

sample29.0ms

Algorithm
intervals
Results
18.0ms328×body80valid

simplify198.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1344
2844
32064
44064
55404
67064
79574
814584
923844
1036584
1140314
1244294
1350024

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.3b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
3.1b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×*-un-lft-identity associate-*l*
6×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
1×distribute-lft-out-- difference-of-squares
Counts
2 → 46
Calls
2 calls:
10.0ms
(* (- 1.0 y) z)
7.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series80.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* (- 1.0 y) z)
47.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify97.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0211251
1863221
23970215
35001215

prune92.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (* x z) (- y 1.0)))
2.5b
(* (* x z) (- y 1.0))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt *-un-lft-identity associate-*r*
4×distribute-rgt-in sub-neg associate-+r+ distribute-lft-in add-log-exp
3×add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
2×associate-*r/
1×+-commutative flip3-- flip3-+ associate-*l* sum-log *-commutative flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
2 → 41
Calls
2 calls:
3.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
12.0ms
(* (* x z) (- y 1.0))

series112.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
47.0ms
(* (* x z) (- y 1.0))

simplify46.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0257266
11177224
25002219

prune90.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- y 1.0))
0.3b
(cbrt (- y 1.0))
0.7b
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
1.9b
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-div
42×associate-*r/
35×flip3-- flip--
34×pow1 add-exp-log
32×frac-times
21×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
16×associate-*l/
15×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
9×associate-*r*
8×add-cube-cbrt
4×add-log-exp
3×distribute-lft-out-- difference-of-squares
2×pow1/3 associate-*l* *-commutative
Counts
4 → 118
Calls
4 calls:
2.0ms
(cbrt (- y 1.0))
2.0ms
(cbrt (- y 1.0))
105.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
27.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

series429.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(cbrt (- y 1.0))
98.0ms
(cbrt (- y 1.0))
71.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
163.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

simplify79.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
06651553
125821345
250011279

prune327.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ y 1.0))
0.7b
(* (* (* x z) (* (cbrt (- y 1.0)) (/ (cbrt (- (* y y) (* 1.0 1.0))) (cbrt (+ y 1.0))))) (cbrt (- y 1.0)))
1.9b
(* (* x z) (* (cbrt (- y 1.0)) (/ (cbrt (- (* y y) (* 1.0 1.0))) (cbrt (+ y 1.0)))))
13.3b
(cbrt (- (* y y) (* 1.0 1.0)))

rewrite205.0ms

Algorithm
rewrite-expression-head
Rules
54×add-exp-log
34×pow1
33×prod-exp cbrt-unprod
32×cbrt-div
31×add-cbrt-cube
26×associate-*r/
21×pow-prod-down
18×frac-times
15×flip3-- flip--
13×cbrt-prod associate-*l/
12×*-un-lft-identity
10×add-sqr-sqrt
9×associate-*r*
8×add-cube-cbrt
4×cbrt-undiv div-exp add-log-exp
2×pow1/3 associate-*l* *-commutative difference-of-squares
1×flip3-+ flip-+ distribute-lft-out distribute-lft-out--
Counts
4 → 112
Calls
4 calls:
2.0ms
(cbrt (+ y 1.0))
154.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (/ (cbrt (- (* y y) (* 1.0 1.0))) (cbrt (+ y 1.0))))) (cbrt (- y 1.0)))
41.0ms
(* (* x z) (* (cbrt (- y 1.0)) (/ (cbrt (- (* y y) (* 1.0 1.0))) (cbrt (+ y 1.0)))))
2.0ms
(cbrt (- (* y y) (* 1.0 1.0)))

series798.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(cbrt (+ y 1.0))
286.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (/ (cbrt (- (* y y) (* 1.0 1.0))) (cbrt (+ y 1.0))))) (cbrt (- y 1.0)))
228.0ms
(* (* x z) (* (cbrt (- y 1.0)) (/ (cbrt (- (* y y) (* 1.0 1.0))) (cbrt (+ y 1.0)))))
194.0ms
(cbrt (- (* y y) (* 1.0 1.0)))

simplify107.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
08461945
136301642
250011624

prune387.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes259.0ms

Accuracy

0% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1135

end0.0ms

sample787.0ms

Algorithm
intervals
Results
568.0ms10181×body80valid