Details

Time bar (total: 31.4s)

sample251.0ms

Algorithm
intervals
Results
151.0ms1799×body80nan
18.0ms258×body80valid

simplify1.8s

Counts
1 → 1
Iterations
IterNodes
done5000
51804
4471
3157
261
127
015

prune29.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize49.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (log z) t)
0.2b
(fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t)))
0.3b
(+ (log (+ y x)) (- (log z) t))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
24×add-sqr-sqrt prod-diff
22×add-cube-cbrt
17×pow1 associate-+r+
14×log-pow
10×log-prod
7×distribute-lft-out
6×associate--l+ distribute-lft-out-- add-log-exp
4×associate-+l+ fma-def fma-neg
3×expm1-log1p-u add-cbrt-cube add-exp-log log1p-expm1-u
2×log-div sum-log sub-neg flip3-+ diff-log associate-+l- flip-+
1×+-commutative associate-+r- flip3-- fma-udef flip-- difference-of-squares
Counts
3 → 94
Calls
3 calls:
7.0ms
(- (log z) t)
0.0ms
(fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t)))
32.0ms
(+ (log (+ y x)) (- (log z) t))

series431.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(- (log z) t)
116.0ms
(fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t)))
232.0ms
(+ (log (+ y x)) (- (log z) t))

simplify600.0ms

Counts
103 → 103
Iterations
IterNodes
done5001
21450
1440
0185

prune680.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize75.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- (log z) (- t (log (+ x y)))))
0.5b
(cbrt (- (log z) (- t (log (+ x y)))))
0.5b
(cbrt (- (log z) (- t (log (+ x y)))))
0.5b
(* (cbrt (- (log z) (- t (log (+ x y))))) (cbrt (- (log z) (- t (log (+ x y))))))

rewrite216.0ms

Algorithm
rewrite-expression-head
Rules
236×*-un-lft-identity
190×distribute-lft-out--
158×cbrt-prod
106×pow1
95×log-pow
55×swap-sqr
37×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
13×associate-*r* associate-*l*
9×flip3-- pow1/3 flip--
7×difference-of-squares
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u 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 → 179
Calls
4 calls:
13.0ms
(cbrt (- (log z) (- t (log (+ x y)))))
15.0ms
(cbrt (- (log z) (- t (log (+ x y)))))
24.0ms
(cbrt (- (log z) (- t (log (+ x y)))))
153.0ms
(* (cbrt (- (log z) (- t (log (+ x y))))) (cbrt (- (log z) (- t (log (+ x y))))))

series1.3s

Counts
4 → 12
Calls
4 calls:
330.0ms
(cbrt (- (log z) (- t (log (+ x y)))))
303.0ms
(cbrt (- (log z) (- t (log (+ x y)))))
295.0ms
(cbrt (- (log z) (- t (log (+ x y)))))
420.0ms
(* (cbrt (- (log z) (- t (log (+ x y))))) (cbrt (- (log z) (- t (log (+ x y))))))

simplify1.4s

Counts
191 → 191
Iterations
IterNodes
done5000
23577
1797
0279

prune1.2s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

localize97.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (cbrt (+ (- (log z) t) (log (+ x y)))))
0.5b
(cbrt (cbrt (- (log z) (- t (log (+ x y))))))
0.5b
(cbrt (cbrt (- (log z) (- t (log (+ x y))))))
0.5b
(* (cbrt (cbrt (- (log z) (- t (log (+ x y)))))) (cbrt (cbrt (- (log z) (- t (log (+ x y)))))))

rewrite251.0ms

Algorithm
rewrite-expression-head
Rules
345×cbrt-prod
243×*-un-lft-identity
184×distribute-lft-out--
106×pow1
95×log-pow
58×swap-sqr
52×add-sqr-sqrt
36×cbrt-div
22×add-cube-cbrt
16×associate-*r* associate-*l*
9×pow1/3 unswap-sqr
8×flip3-- flip--
6×add-exp-log distribute-lft-out difference-of-squares
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 flip3-+ pow-plus prod-exp *-commutative cbrt-unprod flip-+
Counts
4 → 201
Calls
4 calls:
24.0ms
(cbrt (cbrt (+ (- (log z) t) (log (+ x y)))))
23.0ms
(cbrt (cbrt (- (log z) (- t (log (+ x y))))))
22.0ms
(cbrt (cbrt (- (log z) (- t (log (+ x y))))))
168.0ms
(* (cbrt (cbrt (- (log z) (- t (log (+ x y)))))) (cbrt (cbrt (- (log z) (- t (log (+ x y)))))))

series1.4s

Counts
4 → 12
Calls
4 calls:
386.0ms
(cbrt (cbrt (+ (- (log z) t) (log (+ x y)))))
315.0ms
(cbrt (cbrt (- (log z) (- t (log (+ x y))))))
276.0ms
(cbrt (cbrt (- (log z) (- t (log (+ x y))))))
375.0ms
(* (cbrt (cbrt (- (log z) (- t (log (+ x y)))))) (cbrt (cbrt (- (log z) (- t (log (+ x y)))))))

simplify1.2s

Counts
213 → 213
Iterations
IterNodes
done5000
23876
1918
0353

prune1.8s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.1b

localize73.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (- a 0.5) (log t) (- (log z) (- t (log (+ x y)))))) (cbrt (fma (- a 0.5) (log t) (- (log z) (- t (log (+ x y)))))))
0.5b
(cbrt (fma (- a 0.5) (log t) (- (log z) (- t (log (+ x y))))))
0.5b
(cbrt (fma (- a 0.5) (log t) (- (log z) (- t (log (+ x y))))))
0.5b
(cbrt (fma (- a 0.5) (log t) (- (log z) (- t (log (+ x 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:
14.0ms
(* (cbrt (fma (- a 0.5) (log t) (- (log z) (- t (log (+ x y)))))) (cbrt (fma (- a 0.5) (log t) (- (log z) (- t (log (+ x y)))))))
1.0ms
(cbrt (fma (- a 0.5) (log t) (- (log z) (- t (log (+ x y))))))
1.0ms
(cbrt (fma (- a 0.5) (log t) (- (log z) (- t (log (+ x y))))))
1.0ms
(cbrt (fma (- a 0.5) (log t) (- (log z) (- t (log (+ x y))))))

series5.3s

Counts
4 → 12
Calls
4 calls:
1.5s
(* (cbrt (fma (- a 0.5) (log t) (- (log z) (- t (log (+ x y)))))) (cbrt (fma (- a 0.5) (log t) (- (log z) (- t (log (+ x y)))))))
1.2s
(cbrt (fma (- a 0.5) (log t) (- (log z) (- t (log (+ x y))))))
1.3s
(cbrt (fma (- a 0.5) (log t) (- (log z) (- t (log (+ x y))))))
1.3s
(cbrt (fma (- a 0.5) (log t) (- (log z) (- t (log (+ x y))))))

simplify573.0ms

Counts
93 → 93
Iterations
IterNodes
done5000
11159
0341

prune1.1s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes1.8s

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done16
116
014

end0.0ms

sample9.7s

Algorithm
intervals
Results
5.4s55994×body80nan
1.7s8040×body80valid