Details

Time bar (total: 18.5s)

sample166.0ms

Algorithm
intervals
Results
61.0ms49×body1280valid
35.0ms39×body640valid
25.0ms137×body80valid
24.0ms23×body320valid
3.0ms8×body160valid

simplify7.0ms

Counts
1 → 1
Iterations
IterNodes
done11
111
08

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

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))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
7×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
6×associate-*r* associate-*l*
5×add-log-exp
3×insert-posit16
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative sum-log flip3-+ flip-+
Counts
3 → 50
Calls
3 calls:
12.0ms
(+ (* x (cos y)) (* z (sin y)))
24.0ms
(* z (sin y))
7.0ms
(* x (cos y))

series180.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(+ (* x (cos y)) (* z (sin y)))
50.0ms
(* z (sin y))
48.0ms
(* x (cos y))

simplify2.2s

Counts
59 → 59
Iterations
IterNodes
done5000
31539
2494
1192
083

prune324.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (sin y)) (cbrt (sin y)))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube insert-posit16 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 → 77
Calls
4 calls:
12.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
2.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))

series515.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
143.0ms
(cbrt (sin y))
118.0ms
(cbrt (sin y))
111.0ms
(cbrt (sin y))

simplify1.8s

Counts
89 → 89
Iterations
IterNodes
done5001
31407
2456
1176
077

prune485.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
7.4b
(cbrt (* z (sin y)))
7.4b
(cbrt (* z (sin y)))
7.4b
(cbrt (* z (sin y)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×add-cbrt-cube swap-sqr associate-*r* associate-*l* insert-posit16 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 → 62
Calls
4 calls:
37.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
7.0ms
(cbrt (* z (sin y)))
7.0ms
(cbrt (* z (sin y)))
8.0ms
(cbrt (* z (sin y)))

series703.0ms

Counts
4 → 12
Calls
4 calls:
214.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
136.0ms
(cbrt (* z (sin y)))
185.0ms
(cbrt (* z (sin y)))
167.0ms
(cbrt (* z (sin y)))

simplify3.0s

Counts
74 → 74
Iterations
IterNodes
done5031
44685
31449
2590
1213
089

prune495.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (sin y))
0.6b
(cbrt z)
0.6b
(cbrt z)
7.4b
(cbrt (* z (sin y)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
Counts
4 → 46
Calls
4 calls:
1.0ms
(cbrt (sin y))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
4.0ms
(cbrt (* z (sin y)))

series846.0ms

Counts
4 → 12
Calls
4 calls:
156.0ms
(cbrt (sin y))
264.0ms
(cbrt z)
255.0ms
(cbrt z)
170.0ms
(cbrt (* z (sin y)))

simplify1.9s

Counts
58 → 58
Iterations
IterNodes
done5002
42610
3925
2375
1169
084

prune409.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes344.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done20
120
015

end0.0ms

sample4.8s

Algorithm
intervals
Results
2.2s1481×body1280valid
970.0ms1252×body640valid
913.0ms4324×body80valid
407.0ms629×body320valid
101.0ms314×body160valid