Details

Time bar (total: 10.9s)

sample36.0ms

Algorithm
intervals
Results
16.0ms300×body80valid

simplify355.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (- x (/ 16.0 116.0)) 3.0)
0.2b
(* (* (- x (/ 16.0 116.0)) 3.0) y)

rewrite154.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
9×pow1 add-exp-log add-cbrt-cube
7×*-un-lft-identity associate-*l*
6×associate-*r* associate-*l/
5×add-cube-cbrt
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- add-log-exp difference-of-squares
1×times-frac distribute-lft-out-- unswap-sqr
Counts
2 → 43
Calls
2 calls:
54.0ms
(* (- x (/ 16.0 116.0)) 3.0)
96.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series125.0ms

Counts
2 → 6
Calls
2 calls:
80.0ms
(* (- x (/ 16.0 116.0)) 3.0)
46.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify1.8s

Counts
49 → 49

prune121.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.3b
(* (- x (/ 16.0 116.0)) (* 3.0 y))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×pow1 add-exp-log associate-*l* add-cbrt-cube
4×*-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×add-cube-cbrt associate-*l/ difference-of-squares
1×flip3-- times-frac associate-*r* *-commutative flip-- distribute-lft-out-- add-log-exp
Counts
1 → 23
Calls
1 calls:
65.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series67.0ms

Counts
1 → 3
Calls
1 calls:
67.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify1.2s

Counts
26 → 26

prune78.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
20.0ms
(* (cbrt y) (cbrt y))
2.0ms
(cbrt y)
2.0ms
(cbrt y)
2.0ms
(cbrt y)

series1.2s

Counts
4 → 12
Calls
4 calls:
355.0ms
(* (cbrt y) (cbrt y))
278.0ms
(cbrt y)
266.0ms
(cbrt y)
280.0ms
(cbrt y)

simplify994.0ms

Counts
85 → 85

prune274.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y))) (cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y))))
0.6b
(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
0.6b
(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
0.6b
(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))

rewrite178.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×associate-*r/ pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
65.0ms
(* (cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y))) (cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y))))
31.0ms
(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
40.0ms
(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
40.0ms
(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))

series1.3s

Counts
4 → 12
Calls
4 calls:
689.0ms
(* (cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y))) (cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y))))
182.0ms
(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
210.0ms
(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
215.0ms
(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))

simplify939.0ms

Counts
84 → 84

prune381.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0b

regimes257.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify406.0ms

end0.0ms

sample906.0ms

Algorithm
intervals
Results
550.0ms9146×body80valid