Details

Time bar (total: 40.1s)

sample285.0ms

Algorithm
intervals
Results
123.0ms1846×body80nan
42.0ms258×body80valid

simplify1.8s

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

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize36.0ms

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))

rewrite44.0ms

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:
12.0ms
(- (log z) t)
0.0ms
(fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t)))
26.0ms
(+ (log (+ y x)) (- (log z) t))

series445.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(- (log z) t)
125.0ms
(fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t)))
255.0ms
(+ (log (+ y x)) (- (log z) t))

simplify593.0ms

Counts
103 → 103
Iterations
IterNodes
done5001
21450
1440
0185

prune685.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize58.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite20.0ms

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 z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series1.0s

Counts
4 → 12
Calls
4 calls:
252.0ms
(* (cbrt z) (cbrt z))
265.0ms
(cbrt z)
261.0ms
(cbrt z)
253.0ms
(cbrt z)

simplify1.1s

Counts
93 → 93
Iterations
IterNodes
done5001
2725
1142
065

prune728.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize74.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (log (+ y x)))
0.5b
(cbrt (log (+ y x)))
0.5b
(cbrt (log (+ y x)))
0.6b
(* (cbrt (log (+ y x))) (cbrt (log (+ y x))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
23×add-sqr-sqrt
20×pow1
17×*-un-lft-identity
15×add-cube-cbrt
9×pow1/3 swap-sqr log-pow
7×associate-*r* associate-*l*
6×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 → 89
Calls
4 calls:
2.0ms
(cbrt (log (+ y x)))
2.0ms
(cbrt (log (+ y x)))
2.0ms
(cbrt (log (+ y x)))
23.0ms
(* (cbrt (log (+ y x))) (cbrt (log (+ y x))))

series3.8s

Counts
4 → 12
Calls
4 calls:
670.0ms
(cbrt (log (+ y x)))
734.0ms
(cbrt (log (+ y x)))
651.0ms
(cbrt (log (+ y x)))
1.7s
(* (cbrt (log (+ y x))) (cbrt (log (+ y x))))

simplify5.6s

Counts
101 → 101
Iterations
IterNodes
done5000
33978
2592
1158
069

prune878.0ms

Pruning

6 alts after pruning (5 fresh and 1 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)))))))
0.6b
(cbrt (fma (- a 0.5) (log t) (- (log z) (- t (log (+ x y))))))
0.6b
(cbrt (fma (- a 0.5) (log t) (- (log z) (- t (log (+ x y))))))
0.6b
(cbrt (fma (- a 0.5) (log t) (- (log z) (- t (log (+ x y))))))

rewrite23.0ms

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:
17.0ms
(* (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))))))

series6.2s

Counts
4 → 12
Calls
4 calls:
1.8s
(* (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)))))))
1.5s
(cbrt (fma (- a 0.5) (log t) (- (log z) (- t (log (+ x y))))))
1.5s
(cbrt (fma (- a 0.5) (log t) (- (log z) (- t (log (+ x y))))))
1.5s
(cbrt (fma (- a 0.5) (log t) (- (log z) (- t (log (+ x y))))))

simplify614.0ms

Counts
93 → 93
Iterations
IterNodes
done5000
11159
0341

prune1.3s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes1.8s

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done21
121
018

end0.0ms

sample12.8s

Algorithm
intervals
Results
7.3s55612×body80nan
1.2s8043×body80valid