Details

Time bar (total: 39.6s)

sample238.0ms

Algorithm
intervals
Results
113.0ms925×body80nan
31.0ms294×body80valid

simplify6.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
020509
138509
297509
3330509
41232509
53696509
done5000509

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize53.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
0.0b
(+ (* x (log y)) z)
0.1b
(* (- b 0.5) (log c))
0.3b
(* x (log y))

rewrite637.0ms

Algorithm
rewrite-expression-head
Rules
24×log-prod
22×add-sqr-sqrt
20×add-log-exp
18×*-un-lft-identity
16×add-cube-cbrt
12×distribute-rgt-in distribute-lft-in
11×sum-log
10×pow1
8×add-cbrt-cube associate-*r* associate-*l* add-exp-log
7×associate-+l+
6×associate-+r+ associate-*l/
4×flip3-+ frac-add flip-+
3×flip3-- flip--
2×+-commutative pow-prod-down prod-exp log-pow *-commutative cbrt-unprod unswap-sqr
1×distribute-lft-out-- difference-of-squares
Counts
4 → 96
Calls
4 calls:
587.0ms
(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
8.0ms
(+ (* x (log y)) z)
26.0ms
(* (- b 0.5) (log c))
12.0ms
(* x (log y))

series536.0ms

Counts
4 → 12
Calls
4 calls:
342.0ms
(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
77.0ms
(+ (* x (log y)) z)
73.0ms
(* (- b 0.5) (log c))
43.0ms
(* x (log y))

simplify2.0s

Counts
108 → 108
Iterations

Useful iterations: done (2.0s)

IterNodesCost
024138645
163434720
2214534070
done501933568

prune1.0s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize89.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

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:
9.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.1s

Counts
4 → 12
Calls
4 calls:
346.0ms
(* (cbrt y) (cbrt y))
250.0ms
(cbrt y)
276.0ms
(cbrt y)
265.0ms
(cbrt y)

simplify4.0s

Counts
85 → 85
Iterations

Useful iterations: done (4.0s)

IterNodesCost
06117134
113614621
237714346
397113666
4311413666
done502813626

prune999.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize99.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt c) (cbrt c))
0.6b
(cbrt c)
0.6b
(cbrt c)
0.6b
(cbrt c)

rewrite15.0ms

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:
9.0ms
(* (cbrt c) (cbrt c))
1.0ms
(cbrt c)
1.0ms
(cbrt c)
2.0ms
(cbrt c)

series1.2s

Counts
4 → 12
Calls
4 calls:
298.0ms
(* (cbrt c) (cbrt c))
279.0ms
(cbrt c)
304.0ms
(cbrt c)
277.0ms
(cbrt c)

simplify4.0s

Counts
85 → 85
Iterations

Useful iterations: done (4.0s)

IterNodesCost
06117134
113614621
237714346
397113666
4311413666
done502813626

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize161.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt c)
0.6b
(cbrt (* (cbrt c) (cbrt c)))
0.6b
(cbrt (* (cbrt c) (cbrt c)))
0.6b
(cbrt (* (cbrt c) (cbrt c)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
6×cbrt-prod
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log add-log-exp
Counts
4 → 38
Calls
4 calls:
1.0ms
(cbrt c)
9.0ms
(cbrt (* (cbrt c) (cbrt c)))
8.0ms
(cbrt (* (cbrt c) (cbrt c)))
8.0ms
(cbrt (* (cbrt c) (cbrt c)))

series1.7s

Counts
4 → 12
Calls
4 calls:
304.0ms
(cbrt c)
421.0ms
(cbrt (* (cbrt c) (cbrt c)))
454.0ms
(cbrt (* (cbrt c) (cbrt c)))
506.0ms
(cbrt (* (cbrt c) (cbrt c)))

simplify4.3s

Counts
50 → 50
Iterations

Useful iterations: 3 (149.0ms)

IterNodesCost
04213648
18411890
219011851
344211211
4112811211
5404611211
done500311211

prune671.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes1.2s

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
025779
135779
done35779

end0.0ms

sample8.4s

Algorithm
intervals
Results
4.7s27043×body80nan
1.3s9226×body80valid
1.0ms2×body320valid
0.0ms1×body640valid