Details

Time bar (total: 14.9s)

sample103.0ms

Algorithm
intervals
Results
30.0ms49×body1280valid
26.0ms17×body320valid
17.0ms40×body640valid
13.0ms145×body80valid
1.0ms5×body160valid

simplify25.0ms

Counts
1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite42.0ms

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×sub-neg flip3-- diff-log flip--
Counts
3 → 48
Calls
3 calls:
19.0ms
(- (* x (cos y)) (* z (sin y)))
10.0ms
(* x (cos y))
11.0ms
(* z (sin y))

series204.0ms

Counts
3 → 9
Calls
3 calls:
92.0ms
(- (* x (cos y)) (* z (sin y)))
50.0ms
(* x (cos y))
62.0ms
(* z (sin y))

simplify1.1s

Counts
57 → 57

prune193.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite22.0ms

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:
14.0ms
(* (cbrt z) (cbrt z))
2.0ms
(cbrt z)
2.0ms
(cbrt z)
2.0ms
(cbrt z)

series1.2s

Counts
4 → 12
Calls
4 calls:
321.0ms
(* (cbrt z) (cbrt z))
318.0ms
(cbrt z)
298.0ms
(cbrt z)
268.0ms
(cbrt z)

simplify1.0s

Counts
85 → 85

prune458.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
9.0b
(cbrt (* z (sin y)))
9.0b
(cbrt (* z (sin y)))
9.0b
(cbrt (* z (sin y)))

rewrite51.0ms

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:
22.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
9.0ms
(cbrt (* z (sin y)))
9.0ms
(cbrt (* z (sin y)))
9.0ms
(cbrt (* z (sin y)))

series803.0ms

Counts
4 → 12
Calls
4 calls:
240.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
177.0ms
(cbrt (* z (sin y)))
191.0ms
(cbrt (* z (sin y)))
195.0ms
(cbrt (* z (sin y)))

simplify1.5s

Counts
70 → 70

prune361.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 42
Calls
4 calls:
1.0ms
(cbrt z)
2.0ms
(cbrt z)
11.0ms
(cbrt z)
11.0ms
(cbrt (* (cbrt z) (cbrt z)))

series1.3s

Counts
4 → 12
Calls
4 calls:
245.0ms
(cbrt z)
347.0ms
(cbrt z)
283.0ms
(cbrt z)
431.0ms
(cbrt (* (cbrt z) (cbrt z)))

simplify714.0ms

Counts
54 → 54

prune341.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes288.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.1s

end0.0ms

sample4.0s

Algorithm
intervals
Results
1.4s1554×body1280valid
1.1s1242×body640valid
519.0ms4296×body80valid
233.0ms607×body320valid
177.0ms301×body160valid