Details

Time bar (total: 4.1s)

sample26.0ms

Algorithm
intervals
Results
15.0ms325×body80valid

simplify202.0ms

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: 3.9b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
3.7b
(* 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:
9.0ms
(* (- 1.0 y) z)
7.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series79.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* (- 1.0 y) z)
50.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify93.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0211251
1863221
23970215
35001215

prune97.0ms

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)))
2.3b
(* (* 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)))
11.0ms
(* (* x z) (- y 1.0))

series119.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
52.0ms
(* (* x z) (- y 1.0))

simplify44.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0257266
11177224
25002219

prune91.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- y 1.0))
0.3b
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
0.7b
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
1.7b
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
80×cbrt-div
44×associate-*r/
41×pow1
40×flip3-- flip--
38×cbrt-prod
36×add-exp-log frac-times
35×add-sqr-sqrt
33×*-un-lft-identity
23×pow-prod-down
22×prod-exp cbrt-unprod
21×add-cbrt-cube
18×associate-*l/
17×associate-*r*
15×add-cube-cbrt
10×swap-sqr associate-*l*
8×distribute-lft-out--
7×pow1/3
6×difference-of-squares
4×add-log-exp unswap-sqr
3×*-commutative
2×pow-sqr pow-prod-up
1×pow2 pow-plus
Counts
4 → 159
Calls
4 calls:
2.0ms
(cbrt (- y 1.0))
21.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
101.0ms
(* (* (* 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))))

series481.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(cbrt (- y 1.0))
132.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
69.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
175.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

simplify103.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
07871899
133051673
250021575

prune390.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- y 1.0))
0.3b
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
0.7b
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (pow (cbrt (- y 1.0)) 1))
1.7b
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
67×add-exp-log
48×prod-exp
38×cbrt-prod cbrt-div
36×pow1 add-sqr-sqrt
34×*-un-lft-identity
26×add-cbrt-cube
23×pow-prod-down
22×associate-*r/ cbrt-unprod
21×associate-*r*
19×flip3-- flip--
16×add-cube-cbrt
14×associate-*l/
12×frac-times
10×swap-sqr associate-*l*
8×unpow-prod-down distribute-lft-out--
7×pow1/3
6×difference-of-squares
5×pow-to-exp pow-exp
4×add-log-exp unswap-sqr
3×*-commutative
2×pow-sqr pow-prod-up
1×pow2 pow-plus sqr-pow
Counts
4 → 155
Calls
4 calls:
2.0ms
(cbrt (- y 1.0))
21.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
108.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (pow (cbrt (- y 1.0)) 1))
26.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

series485.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(cbrt (- y 1.0))
133.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
70.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (pow (cbrt (- y 1.0)) 1))
175.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

simplify115.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (99.0ms)

IterNodesCost
07891614
134901260
250021185

prune411.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes286.0ms

Accuracy

76.9% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.6b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02813
12813

end0.0ms

sample663.0ms

Algorithm
intervals
Results
457.0ms10107×body80valid