Details

Time bar (total: 27.1s)

sample322.0ms

Algorithm
intervals
Results
143.0ms935×body80nan
38.0ms298×body80valid

simplify2.2s

Counts
1 → 1
Iterations
IterNodes
done5000
41866
3453
2109
139
020

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

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))

rewrite721.0ms

Algorithm
rewrite-expression-head
Rules
24×log-prod *-un-lft-identity
23×add-sqr-sqrt
20×add-log-exp
17×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+ fma-def associate-*l/
4×expm1-log1p-u flip3-+ frac-add flip-+ log1p-expm1-u
3×flip3-- flip-- distribute-lft-out
2×+-commutative pow-prod-down prod-exp log-pow *-commutative cbrt-unprod unswap-sqr
1×distribute-lft-out-- difference-of-squares
Counts
4 → 110
Calls
4 calls:
663.0ms
(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
12.0ms
(+ (* x (log y)) z)
27.0ms
(* (- b 0.5) (log c))
14.0ms
(* x (log y))

series627.0ms

Counts
4 → 12
Calls
4 calls:
395.0ms
(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
97.0ms
(+ (* x (log y)) z)
82.0ms
(* (- b 0.5) (log c))
54.0ms
(* x (log y))

simplify1.6s

Counts
122 → 122
Iterations
IterNodes
done5000
22684
1681
0249

prune1.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b
(fma (log y) x z)
0.2b
(* (- b 0.5) (log (cbrt c)))
0.5b
(cbrt c)
0.5b
(cbrt c)

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×*-un-lft-identity
12×cbrt-prod log-prod add-cube-cbrt
7×pow1
6×distribute-rgt-in distribute-lft-in add-cbrt-cube add-exp-log
5×associate-*r* associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
2×associate-*l/ log-pow
1×flip3-- pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef flip-- distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 74
Calls
4 calls:
0.0ms
(fma (log y) x z)
38.0ms
(* (- b 0.5) (log (cbrt c)))
2.0ms
(cbrt c)
1.0ms
(cbrt c)

series805.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(fma (log y) x z)
168.0ms
(* (- b 0.5) (log (cbrt c)))
247.0ms
(cbrt c)
282.0ms
(cbrt c)

simplify573.0ms

Counts
86 → 86
Iterations
IterNodes
done5000
21069
1273
0134

prune830.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize94.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×*-un-lft-identity
13×add-cube-cbrt
12×log-prod
9×cbrt-prod
8×pow1
7×add-exp-log
6×distribute-rgt-in distribute-lft-in add-cbrt-cube
5×associate-*r* associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow unpow-prod-down
2×pow1/3 associate-*l/ log-pow
1×pow-to-exp pow-pow flip3-- unpow1/3 pow-prod-down pow-exp prod-exp *-commutative cbrt-unprod fma-udef flip-- distribute-lft-out-- difference-of-squares unswap-sqr sqr-pow
Counts
4 → 81
Calls
4 calls:
0.0ms
(fma (log y) x z)
36.0ms
(* (- b 0.5) (log (cbrt c)))
1.0ms
(cbrt c)
4.0ms
(pow c 1/3)

series883.0ms

Counts
4 → 12
Calls
4 calls:
122.0ms
(fma (log y) x z)
165.0ms
(* (- b 0.5) (log (cbrt c)))
303.0ms
(cbrt c)
292.0ms
(pow c 1/3)

simplify738.0ms

Counts
93 → 93
Iterations
IterNodes
done5002
21337
1356
0163

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize68.0ms

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)

rewrite21.0ms

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×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 81
Calls
4 calls:
16.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.2s

Counts
4 → 12
Calls
4 calls:
333.0ms
(* (cbrt y) (cbrt y))
319.0ms
(cbrt y)
282.0ms
(cbrt y)
308.0ms
(cbrt y)

simplify1.2s

Counts
93 → 93
Iterations
IterNodes
done5001
2725
1142
065

prune989.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes1.6s

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
done33
133
026

end0.0ms

sample10.1s

Algorithm
intervals
Results
5.1s28074×body80nan
1.3s9266×body80valid
1.0ms1×body640valid
1.0ms1×body1280valid
0.0ms2×body160valid
0.0ms1×body320valid