Details

Time bar (total: 1.8s)

sample37.0ms

Algorithm
intervals
Results
14.0ms322×body80valid

simplify44.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0134
1204
2344
3514
4584
5644
6814
71124
81594
92734
103704
114284
124504
134654
144654

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*l*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
3×associate-*r*
2×associate-*l/
1×+-commutative flip3-- flip3-+ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 33
Calls
2 calls:
5.0ms
(* (- x 1.0) z)
4.0ms
(+ (* x y) (* (- x 1.0) z))

series11.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(* (- x 1.0) z)
7.0ms
(+ (* x y) (* (- x 1.0) z))

simplify95.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0187183
1775166
24041166
35001166

prune55.0ms

Filtered
39 candidates to 28 candidates (28.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New36339
Fresh000
Picked011
Done000
Total36440

Merged error: 0.0b

Counts
40 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- x 1.0))
0.2b
(cbrt (- x 1.0))
0.2b
(cbrt (- x 1.0))
0.2b
(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
3.0ms
(cbrt (- x 1.0))
3.0ms
(cbrt (- x 1.0))
3.0ms
(cbrt (- x 1.0))
10.0ms
(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))

series32.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(cbrt (- x 1.0))
7.0ms
(cbrt (- x 1.0))
8.0ms
(cbrt (- x 1.0))
10.0ms
(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))

simplify43.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0368950
11216913
25001853

prune233.0ms

Filtered
113 candidates to 81 candidates (28.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1130113
Fresh022
Picked011
Done011
Total1134117

Merged error: 0.0b

Counts
117 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x x) (* 1.0 1.0))
0.0b
(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
2.4b
(* (- (* x x) (* 1.0 1.0)) z)
5.7b
(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
11×add-exp-log add-cbrt-cube
10×add-sqr-sqrt
8×add-cube-cbrt add-log-exp
6×pow1
4×times-frac associate-*l* associate-*l/ associate-/r*
3×flip3-- associate-*r* flip--
2×cbrt-undiv flip3-+ div-exp prod-exp associate-/r/ cbrt-unprod flip-+ associate-/l/ distribute-lft-out difference-of-squares
1×+-commutative sub-neg frac-2neg diff-log pow-prod-down clear-num sum-log *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 72
Calls
4 calls:
3.0ms
(- (* x x) (* 1.0 1.0))
6.0ms
(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
6.0ms
(* (- (* x x) (* 1.0 1.0)) z)
9.0ms
(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

series32.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(- (* x x) (* 1.0 1.0))
14.0ms
(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
6.0ms
(* (- (* x x) (* 1.0 1.0)) z)
8.0ms
(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

simplify53.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0380611
11779535
25001526

prune97.0ms

Filtered
84 candidates to 60 candidates (28.6%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New84084
Fresh011
Picked011
Done022
Total84488

Merged error: 0.0b

Counts
88 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (* (* (- x 1.0) (sqrt z)) (sqrt z)))
0.1b
(* (- x 1.0) (sqrt z))
0.2b
(* (* (- x 1.0) (sqrt z)) (sqrt z))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×associate-*r*
10×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
8×add-cube-cbrt
7×sqrt-prod
6×associate-*l* associate-*l/
5×add-log-exp
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- unswap-sqr
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out-- difference-of-squares
Counts
3 → 60
Calls
3 calls:
3.0ms
(+ (* x y) (* (* (- x 1.0) (sqrt z)) (sqrt z)))
9.0ms
(* (- x 1.0) (sqrt z))
9.0ms
(* (* (- x 1.0) (sqrt z)) (sqrt z))

series22.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(+ (* x y) (* (* (- x 1.0) (sqrt z)) (sqrt z)))
6.0ms
(* (- x 1.0) (sqrt z))
6.0ms
(* (* (- x 1.0) (sqrt z)) (sqrt z))

simplify47.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0355436
11496377
25002365

prune65.0ms

Filtered
69 candidates to 46 candidates (33.3%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New69069
Fresh000
Picked011
Done033
Total69473

Merged error: 0.0b

Counts
73 → 4

regimes196.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114

end0.0ms

sample632.0ms

Algorithm
intervals
Results
280.0ms10196×body80valid

Profiling

Loading profile data...