Details

Time bar (total: 21.8s)

sample44.0ms

Algorithm
intervals
Results
12.0ms298×body80valid
12.0ms346×body80nan

simplify3.1s

Counts
1 → 1
Iterations
IterNodes
done5000
144712
134355
123979
113616
103118
92180
81453
7986
6673
5394
4198
393
251
125
011

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
0.0b
(+ (- 1.0 z) (log z))
0.2b
(* y (+ (- 1.0 z) (log z)))

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
9×pow1
8×add-sqr-sqrt distribute-lft-out add-log-exp
7×associate-*r*
6×add-cube-cbrt
5×associate-+r+ add-cbrt-cube add-exp-log
4×log-pow distribute-lft-out--
3×log-prod sum-log flip3-+ associate-*l* flip-+
2×distribute-rgt-in +-commutative associate-+l+ distribute-lft-in associate-*r/
1×sub-neg diff-log pow-prod-down prod-exp *-commutative associate-+l- cbrt-unprod unswap-sqr
Counts
3 → 61
Calls
3 calls:
29.0ms
(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
43.0ms
(+ (- 1.0 z) (log z))
86.0ms
(* y (+ (- 1.0 z) (log z)))

series431.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
250.0ms
(+ (- 1.0 z) (log z))
107.0ms
(* y (+ (- 1.0 z) (log z)))

simplify1.2s

Counts
70 → 70
Iterations
IterNodes
done5000
21478
1362
0126

prune403.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.2b
(+ (+ (+ (log (cbrt z)) (log (cbrt z))) (- 1.0 z)) (log (cbrt z)))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite344.0ms

Algorithm
rewrite-expression-head
Rules
72×*-un-lft-identity
58×distribute-lft-out
31×pow1
27×log-pow
13×add-log-exp
12×cbrt-prod
11×sum-log
10×distribute-lft-out--
9×add-sqr-sqrt add-cube-cbrt
6×associate-+r+ log-prod
4×add-cbrt-cube add-exp-log
3×pow1/3
2×diff-log
1×+-commutative associate-+l+ associate-+r- flip3-+ associate-+l- flip-+
Counts
4 → 78
Calls
4 calls:
338.0ms
(+ (+ (+ (log (cbrt z)) (log (cbrt z))) (- 1.0 z)) (log (cbrt z)))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series1.2s

Counts
4 → 12
Calls
4 calls:
449.0ms
(+ (+ (+ (log (cbrt z)) (log (cbrt z))) (- 1.0 z)) (log (cbrt z)))
268.0ms
(cbrt z)
280.0ms
(cbrt z)
245.0ms
(cbrt z)

simplify2.3s

Counts
90 → 90
Iterations
IterNodes
done5009
33209
2832
1241
088

prune423.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize66.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series1.1s

Counts
4 → 12
Calls
4 calls:
281.0ms
(cbrt z)
293.0ms
(cbrt z)
240.0ms
(cbrt z)
264.0ms
(cbrt z)

simplify2.7s

Counts
56 → 56
Iterations
IterNodes
done5000
51290
4441
3189
294
144
024

prune436.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* y (+ (- 1.0 z) (log z)))) (cbrt (* y (+ (- 1.0 z) (log z)))))
0.6b
(cbrt (* y (+ (- 1.0 z) (log z))))
0.6b
(cbrt (* y (+ (- 1.0 z) (log z))))
0.6b
(cbrt (* y (+ (- 1.0 z) (log z))))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×frac-times add-cbrt-cube swap-sqr associate-*r* associate-*l* add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
41.0ms
(* (cbrt (* y (+ (- 1.0 z) (log z)))) (cbrt (* y (+ (- 1.0 z) (log z)))))
17.0ms
(cbrt (* y (+ (- 1.0 z) (log z))))
29.0ms
(cbrt (* y (+ (- 1.0 z) (log z))))
33.0ms
(cbrt (* y (+ (- 1.0 z) (log z))))

series889.0ms

Counts
4 → 12
Calls
4 calls:
264.0ms
(* (cbrt (* y (+ (- 1.0 z) (log z)))) (cbrt (* y (+ (- 1.0 z) (log z)))))
225.0ms
(cbrt (* y (+ (- 1.0 z) (log z))))
195.0ms
(cbrt (* y (+ (- 1.0 z) (log z))))
204.0ms
(cbrt (* y (+ (- 1.0 z) (log z))))

simplify3.2s

Counts
84 → 84
Iterations
IterNodes
done5008
22693
1812
0278

prune749.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes534.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
done26
126
020

end0.0ms

sample2.3s

Algorithm
intervals
Results
947.0ms9189×body80nan
799.0ms9168×body80valid