Details

Time bar (total: 3.0s)

sample21.0ms

Algorithm
intervals
Results
9.0ms351×body80valid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0163
1363
2803
31233
41413
51433
61433

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.5b

Counts
2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.9b
(- (* x y) (* z y))
6.2b
(* (- (* x y) (* z y)) t)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*l* add-cbrt-cube add-log-exp
3×associate-*r*
2×expm1-log1p-u flip3-- distribute-rgt-out-- associate-*l/ flip-- log1p-expm1-u
1×sub-neg fma-neg diff-log prod-diff pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 40
Calls
2 calls:
4.0ms
(- (* x y) (* z y))
6.0ms
(* (- (* x y) (* z y)) t)

series79.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(- (* x y) (* z y))
46.0ms
(* (- (* x y) (* z y)) t)

simplify105.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0173232
1656199
23963195
35001195

prune107.0ms

Filtered
46 candidates to 37 candidates (80.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New40646
Fresh101
Picked011
Done000
Total41748

Merged error: 0.0b

Counts
48 → 7

localize10.0ms

Local error

Found 1 expressions with local error:

5.6b
(* (* t y) (- x z))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
18×prod-diff
16×add-sqr-sqrt *-un-lft-identity
14×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
3×pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- associate-*l* *-commutative flip-- log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 46
Calls
1 calls:
8.0ms
(* (* t y) (- x z))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(* (* t y) (- x z))

simplify40.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0303430
11277281
25002269

prune70.0ms

Filtered
49 candidates to 20 candidates (40.8%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New46349
Fresh325
Picked011
Done011
Total49756

Merged error: 0b

Counts
56 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

5.6b
(* (* t y) (- x z))
7.0b
(cbrt (* (* t y) (- x z)))
7.0b
(cbrt (* (* t y) (- x z)))
7.0b
(cbrt (* (* t y) (- x z)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt *-un-lft-identity
18×prod-diff
17×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
9×pow1 add-exp-log add-cbrt-cube
8×associate-*r/
6×cbrt-div
5×associate-*r*
4×expm1-log1p-u flip3-- flip-- log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3 pow-prod-down prod-exp cbrt-unprod
2×sub-neg
1×associate-*l* *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 85
Calls
4 calls:
8.0ms
(* (* t y) (- x z))
6.0ms
(cbrt (* (* t y) (- x z)))
6.0ms
(cbrt (* (* t y) (- x z)))
6.0ms
(cbrt (* (* t y) (- x z)))

series417.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* (* t y) (- x z))
122.0ms
(cbrt (* (* t y) (- x z)))
133.0ms
(cbrt (* (* t y) (- x z)))
120.0ms
(cbrt (* (* t y) (- x z)))

simplify48.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0410775
11609599
25002578

prune257.0ms

Filtered
97 candidates to 65 candidates (67.0%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New97097
Fresh044
Picked011
Done022
Total977104

Merged error: 0b

Counts
104 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ (* 1 (pow (cbrt x) 3)) (- z)) y)
0.6b
(cbrt x)
0.8b
(pow (cbrt x) 3)
6.2b
(* (* (+ (* 1 (pow (cbrt x) 3)) (- z)) y) t)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt *-un-lft-identity
13×add-cube-cbrt
12×pow1 add-exp-log
11×add-cbrt-cube
9×cbrt-prod
6×unpow-prod-down cube-prod associate-*r* associate-*l* associate-*l/
4×expm1-log1p-u pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×pow-unpow
2×pow-pow flip3-+ pow1/3 *-commutative flip-+ distribute-lft-out
1×cube-mult pow-to-exp distribute-rgt-neg-in unpow3 pow-exp rem-cube-cbrt unswap-sqr sqr-pow
Counts
4 → 91
Calls
4 calls:
10.0ms
(* (+ (* 1 (pow (cbrt x) 3)) (- z)) y)
1.0ms
(cbrt x)
3.0ms
(pow (cbrt x) 3)
12.0ms
(* (* (+ (* 1 (pow (cbrt x) 3)) (- z)) y) t)

series550.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(* (+ (* 1 (pow (cbrt x) 3)) (- z)) y)
180.0ms
(cbrt x)
247.0ms
(pow (cbrt x) 3)
68.0ms
(* (* (+ (* 1 (pow (cbrt x) 3)) (- z)) y) t)

simplify70.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
0338488
11852348
25001340

prune282.0ms

Filtered
103 candidates to 70 candidates (68.0%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1030103
Fresh033
Picked011
Done033
Total1037110

Merged error: 0b

Counts
110 → 7

regimes275.0ms

Accuracy

92.4% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 6.4b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03630
13630

end0.0ms

sample537.0ms

Algorithm
intervals
Results
269.0ms10665×body80valid