Details

Time bar (total: 27.1s)

sample336.0ms

Algorithm
intervals
Results
151.0ms935×body80nan
37.0ms298×body80valid

simplify2.6s

Counts
1 → 1
Iterations
IterNodes
done5000
41645
3401
299
138
020

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize32.0ms

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))

rewrite792.0ms

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:
719.0ms
(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
14.0ms
(+ (* x (log y)) z)
38.0ms
(* (- b 0.5) (log c))
18.0ms
(* x (log y))

series566.0ms

Counts
4 → 12
Calls
4 calls:
340.0ms
(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
91.0ms
(+ (* x (log y)) z)
90.0ms
(* (- b 0.5) (log c))
46.0ms
(* x (log y))

simplify1.1s

Counts
108 → 108
Iterations
IterNodes
done5000
22519
1644
0241

prune967.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite16.0ms

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:
10.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.1s

Counts
4 → 12
Calls
4 calls:
249.0ms
(* (cbrt y) (cbrt y))
219.0ms
(cbrt y)
331.0ms
(cbrt y)
267.0ms
(cbrt y)

simplify1.2s

Counts
85 → 85
Iterations
IterNodes
done5000
2727
1138
061

prune778.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 2 (log (cbrt c))) (- b 0.5))
0.3b
(* x (log y))
0.5b
(cbrt c)
0.5b
(cbrt c)

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×*-un-lft-identity
12×pow1
11×add-cbrt-cube add-exp-log add-cube-cbrt
9×associate-*r*
6×cbrt-prod log-prod
5×distribute-rgt-in distribute-lft-in
4×associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×sub-neg pow1/3 associate-*r/ *-commutative
1×flip3-- log-pow flip-- distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 73
Calls
4 calls:
32.0ms
(* (* 2 (log (cbrt c))) (- b 0.5))
27.0ms
(* x (log y))
1.0ms
(cbrt c)
1.0ms
(cbrt c)

series1.1s

Counts
4 → 12
Calls
4 calls:
230.0ms
(* (* 2 (log (cbrt c))) (- b 0.5))
379.0ms
(* x (log y))
247.0ms
(cbrt c)
242.0ms
(cbrt c)

simplify929.0ms

Counts
85 → 85
Iterations
IterNodes
done5000
21560
1363
0151

prune910.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize105.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 2 (log (pow c 1/3))) (- b 0.5))
0.3b
(* x (log y))
0.5b
(cbrt c)
5.1b
(pow c 1/3)

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×*-un-lft-identity
13×pow1
12×add-exp-log add-cube-cbrt
11×add-cbrt-cube
9×associate-*r*
6×log-prod
5×distribute-rgt-in distribute-lft-in
4×associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×cbrt-prod pow-unpow unpow-prod-down
2×sub-neg associate-*r/ *-commutative
1×pow-to-exp pow-pow flip3-- unpow1/3 pow1/3 pow-exp log-pow flip-- distribute-lft-out-- difference-of-squares unswap-sqr sqr-pow
Counts
4 → 80
Calls
4 calls:
24.0ms
(* (* 2 (log (pow c 1/3))) (- b 0.5))
11.0ms
(* x (log y))
1.0ms
(cbrt c)
4.0ms
(pow c 1/3)

series853.0ms

Counts
4 → 12
Calls
4 calls:
232.0ms
(* (* 2 (log (pow c 1/3))) (- b 0.5))
47.0ms
(* x (log y))
271.0ms
(cbrt c)
303.0ms
(pow c 1/3)

simplify938.0ms

Counts
92 → 92
Iterations
IterNodes
done5002
21782
1453
0183

prune765.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes1.7s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done39
139
028

end0.0ms

sample10.1s

Algorithm
intervals
Results
4.4s28074×body80nan
2.1s9266×body80valid
1.0ms1×body1280valid
0.0ms1×body320valid
0.0ms2×body160valid
0.0ms1×body640valid