Details

Time bar (total: 16.3s)

sample28.0ms

Algorithm
intervals
Results
9.0ms238×body80valid
1.0ms6×body1280valid
1.0ms4×body2560valid
1.0ms5×body640valid
0.0ms2×body320valid
0.0ms1×body160valid

simplify79.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1127
2257
3347
4417
5477
6497
done497

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (* (/ 3.0 8.0) y))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 12
Calls
1 calls:
6.0ms
(- x (* (/ 3.0 8.0) y))

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(- x (* (/ 3.0 8.0) y))

simplify2.7s

Counts
15 → 15
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
032172
181165
2256151
3907151
42826151
done5002151

prune35.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b
(cbrt (- x (* (/ 3.0 8.0) y)))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
6×add-exp-log swap-sqr associate-*r* associate-*l*
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 → 87
Calls
4 calls:
43.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
8.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

series1.4s

Counts
4 → 12
Calls
4 calls:
349.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
324.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
323.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
421.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

simplify3.5s

Counts
99 → 99
Iterations

Useful iterations: done (3.5s)

IterNodesCost
01191968
12381825
26351711
316681540
445951496
done50001441

prune287.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
10×cbrt-div
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- add-log-exp
Counts
4 → 55
Calls
4 calls:
6.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
7.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
6.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
7.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

series1.7s

Counts
4 → 12
Calls
4 calls:
433.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
431.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
440.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
418.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify2.9s

Counts
67 → 67
Iterations

Useful iterations: 4 (1.6s)

IterNodesCost
0951057
11951027
2479961
31327927
43510864
done5000864

prune484.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* (/ 3.0 8.0) y))
0.3b
(* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))
3.8b
(- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y)))
27.6b
(/ (- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))) (+ x (* (/ 3.0 8.0) y)))

rewrite203.0ms

Algorithm
rewrite-expression-head
Rules
43×pow1
42×add-exp-log add-cbrt-cube
21×prod-exp cbrt-unprod
17×pow-prod-down
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×times-frac
8×add-log-exp
7×cbrt-undiv div-exp
5×associate-*l/ difference-of-squares
4×pow-sqr pow-prod-up associate-/l*
3×associate-/r*
2×flip3-- flip3-+ pow-plus associate-/r/ flip-- flip-+ associate-/l/
1×+-commutative pow2 frac-times sub-neg frac-2neg diff-log div-sub associate-*r/ swap-sqr associate-*r* associate-*l* clear-num sum-log *-commutative div-inv
Counts
4 → 107
Calls
4 calls:
12.0ms
(+ x (* (/ 3.0 8.0) y))
113.0ms
(* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))
19.0ms
(- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y)))
49.0ms
(/ (- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))) (+ x (* (/ 3.0 8.0) y)))

series276.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(+ x (* (/ 3.0 8.0) y))
47.0ms
(* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))
84.0ms
(- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y)))
98.0ms
(/ (- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))) (+ x (* (/ 3.0 8.0) y)))

simplify1.4s

Counts
119 → 119
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01612515
14322243
216501883
done50001723

prune269.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes188.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
187
done87

end0.0ms

sample617.0ms

Algorithm
intervals
Results
244.0ms7386×body80valid
57.0ms229×body1280valid
42.0ms103×body2560valid
16.0ms149×body640valid
8.0ms95×body320valid
2.0ms38×body160valid