Details

Time bar (total: 4.1s)

sample20.0ms

Algorithm
intervals
Results
7.0ms324×body80valid

simplify197.0ms

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: 4.3b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
4.1b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite41.0ms

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:
23.0ms
(* (- 1.0 y) z)
17.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series70.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(* (- 1.0 y) z)
42.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify91.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0211251
1863221
23970215
35001215

prune86.0ms

Pruning

5 alts after pruning (4 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)))
3.5b
(* (* x z) (- y 1.0))

rewrite40.0ms

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:
10.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
29.0ms
(* (* x z) (- y 1.0))

series101.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
43.0ms
(* (* x z) (- y 1.0))

simplify39.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0257266
11177224
25002219

prune81.0ms

Pruning

6 alts after pruning (4 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))
1.4b
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
2.1b
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

rewrite275.0ms

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:
4.0ms
(cbrt (- y 1.0))
4.0ms
(cbrt (- y 1.0))
201.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
59.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

series403.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(cbrt (- y 1.0))
93.0ms
(cbrt (- y 1.0))
66.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
150.0ms
(* (* 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

prune319.0ms

Pruning

7 alts after pruning (4 fresh and 3 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))
1.1b
(* x (* z (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))))
1.4b
(* (* x (* z (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))) (cbrt (- y 1.0)))

rewrite584.0ms

Algorithm
rewrite-expression-head
Rules
74×associate-*r/
70×cbrt-div
35×flip3-- flip--
32×frac-times
27×pow1 add-exp-log
19×add-cbrt-cube
16×pow-prod-down associate-*l/ prod-exp cbrt-unprod
15×cbrt-prod add-sqr-sqrt *-un-lft-identity
9×add-cube-cbrt associate-*r*
4×associate-*l* add-log-exp
3×distribute-lft-out-- difference-of-squares
2×pow1/3 *-commutative
Counts
4 → 114
Calls
4 calls:
4.0ms
(cbrt (- y 1.0))
5.0ms
(cbrt (- y 1.0))
128.0ms
(* x (* z (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))))
441.0ms
(* (* x (* z (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))) (cbrt (- y 1.0)))

series418.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(cbrt (- y 1.0))
98.0ms
(cbrt (- y 1.0))
161.0ms
(* x (* z (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))))
63.0ms
(* (* x (* z (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))) (cbrt (- y 1.0)))

simplify77.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
06741517
124911342
250011262

prune309.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes267.0ms

Accuracy

71.2% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.6b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02817
12817

end0.0ms

sample529.0ms

Algorithm
intervals
Results
229.0ms10079×body80valid