Details

Time bar (total: 3.4s)

sample17.0ms

Algorithm
intervals
Results
7.0ms343×body80valid

simplify185.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (* (- 1.0 y) z))
0.0b
(* (- 1.0 y) z)
2.4b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
9×*-un-lft-identity
8×associate-*l*
7×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
6×associate-*r*
5×add-log-exp
3×sub-neg flip3-- flip--
2×distribute-rgt-in distribute-lft-in associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×diff-log distribute-lft-out-- difference-of-squares
Counts
3 → 58
Calls
3 calls:
2.0ms
(- 1.0 (* (- 1.0 y) z))
10.0ms
(* (- 1.0 y) z)
7.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series97.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(- 1.0 (* (- 1.0 y) z))
28.0ms
(* (- 1.0 y) z)
48.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify96.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0233336
1920299
24132288
35001288

prune116.0ms

Filtered
67 candidates to 43 candidates (64.2%)
Pruning

8 alts after pruning (7 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)))
3.3b
(* (* 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)))
12.0ms
(* (* x z) (- y 1.0))

series107.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
48.0ms
(* (* x z) (- y 1.0))

simplify42.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0257266
11177224
25002219

prune85.0ms

Filtered
47 candidates to 30 candidates (63.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize13.0ms

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)))
2.7b
(* (* 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)))
28.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

series425.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(cbrt (- y 1.0))
96.0ms
(cbrt (- y 1.0))
72.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
162.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

simplify80.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06651553
125821345
250011279

prune306.0ms

Filtered
130 candidates to 77 candidates (59.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- y 1.0))
0.7b
(* (* (* (* x z) (cbrt (- y 1.0))) (cbrt (- y 1.0))) (cbrt (- y 1.0)))
1.4b
(* (* x z) (cbrt (- y 1.0)))
1.4b
(* (* (* x z) (cbrt (- y 1.0))) (cbrt (- y 1.0)))

rewrite196.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-div
36×associate-*r/
35×flip3-- flip--
32×pow1 add-exp-log frac-times
24×associate-*r*
20×cbrt-prod
19×add-sqr-sqrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
16×associate-*l/ add-cbrt-cube
11×add-cube-cbrt
4×distribute-lft-out-- add-log-exp difference-of-squares
3×associate-*l* *-commutative
1×pow1/3
Counts
4 → 129
Calls
4 calls:
2.0ms
(cbrt (- y 1.0))
133.0ms
(* (* (* (* x z) (cbrt (- y 1.0))) (cbrt (- y 1.0))) (cbrt (- y 1.0)))
13.0ms
(* (* x z) (cbrt (- y 1.0)))
40.0ms
(* (* (* x z) (cbrt (- y 1.0))) (cbrt (- y 1.0)))

series455.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(cbrt (- y 1.0))
71.0ms
(* (* (* (* x z) (cbrt (- y 1.0))) (cbrt (- y 1.0))) (cbrt (- y 1.0)))
123.0ms
(* (* x z) (cbrt (- y 1.0)))
163.0ms
(* (* (* x z) (cbrt (- y 1.0))) (cbrt (- y 1.0)))

simplify92.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
07251610
134141473
250011402

prune336.0ms

Filtered
141 candidates to 86 candidates (61.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes178.0ms

Accuracy

-13.3% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 1.6b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03215
13615
24315
34315

end0.0ms

sample413.0ms

Algorithm
intervals
Results
217.0ms10053×body80valid