Details

Time bar (total: 15.1s)

sample115.0ms

Algorithm
intervals
Results
42.0ms46×body1280valid
26.0ms45×body640valid
18.0ms144×body80valid
6.0ms15×body320valid
2.0ms6×body160valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08243
111243
done11243

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize39.0ms

Local error

Found 3 expressions with local error:

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

rewrite42.0ms

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
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative sum-log flip3-+ flip-+
Counts
3 → 47
Calls
3 calls:
15.0ms
(+ (* x (sin y)) (* z (cos y)))
14.0ms
(* x (sin y))
12.0ms
(* z (cos y))

series197.0ms

Counts
3 → 9
Calls
3 calls:
95.0ms
(+ (* x (sin y)) (* z (cos y)))
57.0ms
(* x (sin y))
45.0ms
(* z (cos y))

simplify2.3s

Counts
56 → 56
Iterations

Useful iterations: 2 (160.0ms)

IterNodesCost
08111269
119410676
268510516
3325710516
done500010516

prune295.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (cos y)) (cbrt (cos y)))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos 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 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:
12.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series693.0ms

Counts
4 → 12
Calls
4 calls:
264.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
143.0ms
(cbrt (cos y))
142.0ms
(cbrt (cos y))
144.0ms
(cbrt (cos y))

simplify1.3s

Counts
85 → 85
Iterations

Useful iterations: done (1.3s)

IterNodesCost
06422963
114619212
262218886
done500018006

prune496.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* z (cbrt (* (cos y) (cos y)))) (cbrt (cos y)))
0.3b
(cbrt (cos y))
0.3b
(* (cos y) (cos y))
0.3b
(cbrt (* (cos y) (cos y)))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1
13×add-sqr-sqrt
11×*-un-lft-identity add-exp-log add-cube-cbrt
9×associate-*r*
8×add-cbrt-cube
7×cbrt-prod
4×associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×swap-sqr cos-mult
2×cbrt-div pow1/3 *-commutative
1×pow2 sqr-cos pow-plus associate-*l/ associate-*r/ pow-sqr pow-prod-up unswap-sqr
Counts
4 → 70
Calls
4 calls:
47.0ms
(* (* z (cbrt (* (cos y) (cos y)))) (cbrt (cos y)))
2.0ms
(cbrt (cos y))
16.0ms
(* (cos y) (cos y))
9.0ms
(cbrt (* (cos y) (cos y)))

series416.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* (* z (cbrt (* (cos y) (cos y)))) (cbrt (cos y)))
139.0ms
(cbrt (cos y))
18.0ms
(* (cos y) (cos y))
197.0ms
(cbrt (* (cos y) (cos y)))

simplify2.0s

Counts
82 → 82
Iterations

Useful iterations: done (2.0s)

IterNodesCost
011021496
129218081
2197317845
done500217405

prune501.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (cos y))
0.3b
(* (cos y) (cos y))
0.3b
(cbrt (log (exp (* (cos y) (cos y)))))
0.6b
(log (exp (* (cos y) (cos y))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt pow1
11×*-un-lft-identity add-cube-cbrt
9×cbrt-prod
6×add-cbrt-cube add-exp-log log-pow add-log-exp
4×log-prod
3×swap-sqr associate-*r* associate-*l*
2×sqr-cos exp-prod exp-to-pow pow1/3
1×pow2 pow-plus rem-log-exp exp-sum pow-prod-down prod-exp pow-sqr cos-mult *-commutative pow-prod-up cbrt-unprod unswap-sqr
Counts
4 → 67
Calls
4 calls:
1.0ms
(cbrt (cos y))
8.0ms
(* (cos y) (cos y))
1.0ms
(cbrt (log (exp (* (cos y) (cos y)))))
4.0ms
(log (exp (* (cos y) (cos y))))

series434.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(cbrt (cos y))
30.0ms
(* (cos y) (cos y))
238.0ms
(cbrt (log (exp (* (cos y) (cos y)))))
30.0ms
(log (exp (* (cos y) (cos y))))

simplify1.6s

Counts
79 → 79
Iterations

Useful iterations: done (1.6s)

IterNodesCost
010022345
121714505
2144714296
done500113936

prune482.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes358.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
014623
118623
done18623

end0.0ms

sample3.6s

Algorithm
intervals
Results
1.2s1527×body1280valid
693.0ms4239×body80valid
638.0ms1291×body640valid
527.0ms321×body160valid
190.0ms622×body320valid