Details

Time bar (total: 25.6s)

sample109.0ms

Algorithm
intervals
Results
45.0ms50×body1280valid
20.0ms43×body640valid
13.0ms128×body80valid
8.0ms23×body320valid
3.0ms12×body160valid

simplify12.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
089
1128
2158
done158

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

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))

rewrite71.0ms

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
3×expm1-log1p-u log1p-expm1-u
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative fma-def flip3-+ sum-log flip-+
Counts
3 → 54
Calls
3 calls:
42.0ms
(+ (* x (cos y)) (* z (sin y)))
10.0ms
(* z (sin y))
17.0ms
(* x (cos y))

series241.0ms

Counts
3 → 9
Calls
3 calls:
109.0ms
(+ (* x (cos y)) (* z (sin y)))
68.0ms
(* z (sin y))
64.0ms
(* x (cos y))

simplify3.8s

Counts
63 → 63
Iterations

Useful iterations: 2 (123.0ms)

IterNodesCost
087494
1196449
2503417
31301417
43744417
done5000417

prune195.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(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×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 81
Calls
4 calls:
17.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series1.1s

Counts
4 → 12
Calls
4 calls:
264.0ms
(* (cbrt z) (cbrt z))
289.0ms
(cbrt z)
245.0ms
(cbrt z)
316.0ms
(cbrt z)

simplify5.0s

Counts
93 → 93
Iterations

Useful iterations: done (5.0s)

IterNodesCost
065554
1119443
2327423
31104405
44523400
done5001390

prune313.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
7.8b
(cbrt (* z (sin y)))
7.8b
(cbrt (* z (sin y)))
7.8b
(cbrt (* z (sin y)))

rewrite40.0ms

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×expm1-log1p-u swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u 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 → 66
Calls
4 calls:
22.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
6.0ms
(cbrt (* z (sin y)))
5.0ms
(cbrt (* z (sin y)))
5.0ms
(cbrt (* z (sin y)))

series662.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
167.0ms
(cbrt (* z (sin y)))
169.0ms
(cbrt (* z (sin y)))
140.0ms
(cbrt (* z (sin y)))

simplify3.2s

Counts
78 → 78
Iterations

Useful iterations: done (3.2s)

IterNodesCost
091850
1194773
2478689
31256593
43964531
done5000494

prune390.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 58
Calls
4 calls:
2.0ms
(cbrt z)
2.0ms
(cbrt z)
3.0ms
(cbrt (cbrt z))
3.0ms
(cbrt (cbrt z))

series1.3s

Counts
4 → 12
Calls
4 calls:
306.0ms
(cbrt z)
286.0ms
(cbrt z)
395.0ms
(cbrt (cbrt z))
315.0ms
(cbrt (cbrt z))

simplify4.3s

Counts
70 → 70
Iterations

Useful iterations: done (4.3s)

IterNodesCost
046374
179356
2151328
3319316
4972316
54693316
done5000304

prune372.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes199.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01116
11516
done1516

end0.0ms

sample4.1s

Algorithm
intervals
Results
1.9s1528×body1280valid
736.0ms1262×body640valid
640.0ms4226×body80valid
223.0ms648×body320valid
137.0ms336×body160valid