Details

Time bar (total: 15.9s)

sample60.0ms

Algorithm
intervals
Results
19.0ms300×body80valid
12.0ms282×body80nan

simplify1.8s

Counts
1 → 1
Iterations
IterNodes
done5001
73816
62185
5878
4312
3107
251
125
011

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite148.0ms

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×add-cbrt-cube add-exp-log
4×associate-+r+ log-pow distribute-lft-out--
3×associate-+l+ log-prod sum-log flip3-+ associate-*l* flip-+
2×distribute-rgt-in +-commutative distribute-lft-in associate-*r/
1×associate-+r- sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 61
Calls
3 calls:
14.0ms
(+ (* x 0.5) (* y (+ (log z) (- 1.0 z))))
27.0ms
(+ (log z) (- 1.0 z))
103.0ms
(* y (+ (log z) (- 1.0 z)))

series543.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(+ (* x 0.5) (* y (+ (log z) (- 1.0 z))))
297.0ms
(+ (log z) (- 1.0 z))
158.0ms
(* y (+ (log z) (- 1.0 z)))

simplify744.0ms

Counts
70 → 70
Iterations
IterNodes
done5000
21517
1353
0120

prune449.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

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:
18.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
2.0ms
(cbrt z)

series1.2s

Counts
4 → 12
Calls
4 calls:
343.0ms
(* (cbrt z) (cbrt z))
275.0ms
(cbrt z)
322.0ms
(cbrt z)
284.0ms
(cbrt z)

simplify1.3s

Counts
85 → 85
Iterations
IterNodes
done5000
2727
1138
061

prune574.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite181.0ms

Algorithm
rewrite-expression-head
Rules
143×*-un-lft-identity
93×cbrt-prod
60×distribute-lft-out
41×pow1
30×swap-sqr log-pow distribute-lft-out--
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
10×associate-*r* associate-*l*
9×flip3-+ pow1/3 flip-+
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 131
Calls
4 calls:
15.0ms
(cbrt (+ (log z) (- 1.0 z)))
12.0ms
(cbrt (+ (log z) (- 1.0 z)))
14.0ms
(cbrt (+ (log z) (- 1.0 z)))
129.0ms
(* (cbrt (+ (log z) (- 1.0 z))) (cbrt (+ (log z) (- 1.0 z))))

series334.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(cbrt (+ (log z) (- 1.0 z)))
82.0ms
(cbrt (+ (log z) (- 1.0 z)))
75.0ms
(cbrt (+ (log z) (- 1.0 z)))
103.0ms
(* (cbrt (+ (log z) (- 1.0 z))) (cbrt (+ (log z) (- 1.0 z))))

simplify1.7s

Counts
143 → 143
Iterations
IterNodes
done5001
22812
1653
0237

prune777.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite93.0ms

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:
28.0ms
(* (cbrt (* y (+ (log z) (- 1.0 z)))) (cbrt (* y (+ (log z) (- 1.0 z)))))
14.0ms
(cbrt (* y (+ (log z) (- 1.0 z))))
22.0ms
(cbrt (* y (+ (log z) (- 1.0 z))))
25.0ms
(cbrt (* y (+ (log z) (- 1.0 z))))

series905.0ms

Counts
4 → 12
Calls
4 calls:
285.0ms
(* (cbrt (* y (+ (log z) (- 1.0 z)))) (cbrt (* y (+ (log z) (- 1.0 z)))))
188.0ms
(cbrt (* y (+ (log z) (- 1.0 z))))
211.0ms
(cbrt (* y (+ (log z) (- 1.0 z))))
220.0ms
(cbrt (* y (+ (log z) (- 1.0 z))))

simplify1.6s

Counts
84 → 84
Iterations
IterNodes
done5000
24087
1814
0278

prune718.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes378.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done15
115
011

end0.0ms

sample2.2s

Algorithm
intervals
Results
698.0ms9160×body80nan
673.0ms9216×body80valid