Details

Time bar (total: 9.7s)

sample24.0ms

Algorithm
intervals
Results
11.0ms360×body80valid

simplify1.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01115
12415
25315
38815
413415
518815
623415
725115
827615
931715
1037315
1138915
1246215
1356515
1471015
1571815
done71815

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.9b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
0.2b
(* (* z 3.0) y)
0.2b
(/ y (* z 3.0))
7.1b
(/ t (* (* z 3.0) y))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
25×add-sqr-sqrt
23×add-exp-log add-cube-cbrt associate-+l+ add-cbrt-cube
21×prod-diff
15×times-frac
9×pow1 add-log-exp
7×prod-exp cbrt-unprod
6×associate-/l*
5×cbrt-undiv fma-def div-exp div-inv
4×expm1-log1p-u log1p-expm1-u
3×associate-*r* pow-prod-down
2×frac-2neg frac-add clear-num associate-/r* sum-log distribute-lft-out distribute-lft-out--
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log associate-*l* *-commutative flip-- flip-+ difference-of-squares
Counts
4 → 115
Calls
4 calls:
40.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
7.0ms
(* (* z 3.0) y)
3.0ms
(/ y (* z 3.0))
8.0ms
(/ t (* (* z 3.0) y))

series160.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
22.0ms
(* (* z 3.0) y)
21.0ms
(/ y (* z 3.0))
33.0ms
(/ t (* (* z 3.0) y))

simplify897.0ms

Counts
127 → 127
Iterations

Useful iterations: 2 (169.0ms)

IterNodesCost
01841873
15151735
223471473
done50001473

prune373.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
2.2b
(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
32×add-cbrt-cube
29×add-sqr-sqrt
22×associate-*r*
21×add-cube-cbrt *-un-lft-identity times-frac
19×cbrt-prod
18×prod-exp cbrt-unprod
13×cbrt-undiv div-exp
6×pow1
5×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 unswap-sqr
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 103
Calls
4 calls:
0.0ms
(cbrt t)
0.0ms
(cbrt t)
1.0ms
(cbrt t)
28.0ms
(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))

series661.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(cbrt t)
205.0ms
(cbrt t)
198.0ms
(cbrt t)
62.0ms
(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))

simplify1.1s

Counts
115 → 115
Iterations

Useful iterations: 2 (203.0ms)

IterNodesCost
01601527
15101461
229351031
done50001031

prune404.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
2.2b
(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (* (* (cbrt (cbrt t)) (cbrt (cbrt t))) (cbrt (cbrt t))) y))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
106×add-exp-log
70×add-cbrt-cube
51×prod-exp cbrt-unprod
31×cbrt-undiv div-exp
12×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
9×cbrt-prod
7×associate-*r*
6×pow1
5×associate-*l*
4×expm1-log1p-u times-frac log1p-expm1-u add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative unswap-sqr
Counts
4 → 106
Calls
4 calls:
0.0ms
(cbrt t)
0.0ms
(cbrt t)
1.0ms
(cbrt t)
70.0ms
(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (* (* (cbrt (cbrt t)) (cbrt (cbrt t))) (cbrt (cbrt t))) y))

series681.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(cbrt t)
211.0ms
(cbrt t)
205.0ms
(cbrt t)
63.0ms
(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (* (* (cbrt (cbrt t)) (cbrt (cbrt t))) (cbrt (cbrt t))) y))

simplify1.3s

Counts
118 → 118
Iterations

Useful iterations: 2 (258.0ms)

IterNodesCost
01652612
15712514
233341356
done50011356

prune429.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
0.2b
(/ y (* z 3.0))
0.2b
(/ t (* z 3.0))
3.5b
(/ (/ t (* z 3.0)) y)

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
48×times-frac
45×*-un-lft-identity
40×add-sqr-sqrt
38×add-cube-cbrt
23×add-exp-log associate-+l+ add-cbrt-cube
21×prod-diff
13×associate-/l*
10×div-inv
9×cbrt-undiv div-exp add-log-exp
5×fma-def associate-/r*
4×pow1 expm1-log1p-u log1p-expm1-u
3×frac-2neg prod-exp clear-num cbrt-unprod
2×frac-add sum-log distribute-lft-out distribute-lft-out--
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log flip-- flip-+ associate-/l/ difference-of-squares
Counts
4 → 143
Calls
4 calls:
47.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
3.0ms
(/ y (* z 3.0))
3.0ms
(/ t (* z 3.0))
6.0ms
(/ (/ t (* z 3.0)) y)

series166.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
22.0ms
(/ y (* z 3.0))
21.0ms
(/ t (* z 3.0))
36.0ms
(/ (/ t (* z 3.0)) y)

simplify859.0ms

Counts
155 → 155
Iterations

Useful iterations: 2 (182.0ms)

IterNodesCost
02302245
15922093
223121829
done50001829

prune473.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes185.0ms

Accuracy

0% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 1.7b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01422
11722
done1722

end0.0ms

sample660.0ms

Algorithm
intervals
Results
376.0ms11213×body80valid