Details

Time bar (total: 14.9s)

sample114.0ms

Algorithm
intervals
Results
50.0ms48×body1280valid
19.0ms40×body640valid
12.0ms129×body80valid
9.0ms28×body320valid
2.0ms11×body160valid

simplify16.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x (cos y)) (* z (sin y)))
0.1b
(* z (sin y))
0.1b
(* x (cos y))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
7×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×associate-*r* associate-*l*
5×add-log-exp
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 47
Calls
3 calls:
11.0ms
(+ (* x (cos y)) (* z (sin y)))
16.0ms
(* z (sin y))
17.0ms
(* x (cos y))

series269.0ms

Counts
3 → 9
Calls
3 calls:
118.0ms
(+ (* x (cos y)) (* z (sin y)))
82.0ms
(* z (sin y))
69.0ms
(* x (cos y))

simplify1.4s

Counts
56 → 56

prune232.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sin y)) (cbrt (sin y)))
0.5b
(cbrt (sin y))
0.5b
(cbrt (sin y))
0.5b
(cbrt (sin y))

rewrite32.0ms

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:
23.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
2.0ms
(cbrt (sin y))
2.0ms
(cbrt (sin y))
2.0ms
(cbrt (sin y))

series725.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
175.0ms
(cbrt (sin y))
200.0ms
(cbrt (sin y))
159.0ms
(cbrt (sin y))

simplify1.1s

Counts
85 → 85

prune419.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
8.7b
(cbrt (* z (sin y)))
8.7b
(cbrt (* z (sin y)))
8.7b
(cbrt (* z (sin y)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
34.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
7.0ms
(cbrt (* z (sin y)))
5.0ms
(cbrt (* z (sin y)))
5.0ms
(cbrt (* z (sin y)))

series943.0ms

Counts
4 → 12
Calls
4 calls:
327.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
212.0ms
(cbrt (* z (sin y)))
194.0ms
(cbrt (* z (sin y)))
210.0ms
(cbrt (* z (sin y)))

simplify1.5s

Counts
70 → 70

prune414.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (sin y))
0.6b
(cbrt z)
8.7b
(cbrt (* z (sin y)))
8.7b
(cbrt (* z (sin y)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
8×cbrt-prod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 40
Calls
4 calls:
2.0ms
(cbrt (sin y))
1.0ms
(cbrt z)
5.0ms
(cbrt (* z (sin y)))
8.0ms
(cbrt (* z (sin y)))

series923.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt (sin y))
281.0ms
(cbrt z)
233.0ms
(cbrt (* z (sin y)))
225.0ms
(cbrt (* z (sin y)))

simplify1.9s

Counts
52 → 52

prune334.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes201.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify50.0ms

end0.0ms

sample4.1s

Algorithm
intervals
Results
1.8s1478×body1280valid
867.0ms1298×body640valid
560.0ms4321×body80valid
289.0ms599×body320valid
71.0ms304×body160valid