Details

Time bar (total: 24.4s)

sample31.0ms

Algorithm
intervals
Results
13.0ms317×body80valid

simplify9.7s

Counts
1 → 1
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
089
1159
2328
3738
41488
52108
62458
72858
83398
94828
106088
117228
128578
139428
149618
1510118
1611558
1712608
1814868
1916228
2018058
2118158
2218178
done18178

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.2b
(fma (- y x) (* 6.0 z) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma (- y x) (* 6.0 z) x)

series66.0ms

Counts
1 → 3
Calls
1 calls:
66.0ms
(fma (- y x) (* 6.0 z) x)

simplify1.2s

Counts
13 → 13
Iterations

Useful iterations: 3 (79.0ms)

IterNodesCost
023154
144151
2108135
3325123
41429123
done5000123

prune54.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (* (- y x) 6.0) z))
0.0b
(* (- y x) 6.0)
0.3b
(* (* (- y x) 6.0) z)

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
10×pow1 add-exp-log add-cbrt-cube
*-un-lft-identity
add-cube-cbrt
associate-*r* associate-*l* associate-*l/
add-log-exp
pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u fma-def log1p-expm1-u
flip3-- *-commutative flip--
+-commutative flip3-+ sum-log flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 62
Calls
3 calls:
8.0ms
(+ x (* (* (- y x) 6.0) z))
41.0ms
(* (- y x) 6.0)
59.0ms
(* (* (- y x) 6.0) z)

series142.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(+ x (* (* (- y x) 6.0) z))
39.0ms
(* (- y x) 6.0)
46.0ms
(* (* (- y x) 6.0) z)

simplify3.6s

Counts
71 → 71
Iterations

Useful iterations: 2 (174.0ms)

IterNodesCost
0104692
1258647
2960553
34907553
done5000553

prune147.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
23.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series1.1s

Counts
4 → 12
Calls
4 calls:
283.0ms
(* (cbrt z) (cbrt z))
250.0ms
(cbrt z)
270.0ms
(cbrt z)
250.0ms
(cbrt z)

simplify4.7s

Counts
93 → 93
Iterations

Useful iterations: done (4.7s)

IterNodesCost
065554
1119443
2327423
31104405
44523400
done5001390

prune343.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- (* y y) (* x x)) 6.0)
2.2b
(- (* y y) (* x x))
8.4b
(* (* (- (* y y) (* x x)) 6.0) z)
15.9b
(/ (* (* (- (* y y) (* x x)) 6.0) z) (+ y x))

rewrite210.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
13×*-un-lft-identity
11×pow1 add-sqr-sqrt
10×associate-*l/
add-cube-cbrt
prod-exp cbrt-unprod
associate-*r* add-log-exp
associate-*l*
expm1-log1p-u flip3-- times-frac pow-prod-down associate-/r* flip-- log1p-expm1-u
cbrt-undiv div-exp
associate-/r/ *-commutative associate-/l/ distribute-lft-out difference-of-squares
sub-neg frac-2neg flip3-+ fma-neg diff-log prod-diff clear-num flip-+ div-inv associate-/l* unswap-sqr
Counts
4 → 93
Calls
4 calls:
41.0ms
(* (- (* y y) (* x x)) 6.0)
12.0ms
(- (* y y) (* x x))
68.0ms
(* (* (- (* y y) (* x x)) 6.0) z)
84.0ms
(/ (* (* (- (* y y) (* x x)) 6.0) z) (+ y x))

series229.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* (- (* y y) (* x x)) 6.0)
40.0ms
(- (* y y) (* x x))
58.0ms
(* (* (- (* y y) (* x x)) 6.0) z)
81.0ms
(/ (* (* (- (* y y) (* x x)) 6.0) z) (+ y x))

simplify1.1s

Counts
105 → 105
Iterations

Useful iterations: 2 (318.0ms)

IterNodesCost
01511580
14021513
218691236
done50001236

prune242.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes93.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
188
done88

end0.0ms

sample1.3s

Algorithm
intervals
Results
848.0ms10132×body80valid