Details

Time bar (total: 46.2s)

sample350.0ms

Algorithm
intervals
Results
217.0ms1799×body80nan
31.0ms257×body80valid

simplify2.6s

Counts
1 → 1

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize33.0ms

Local error

Found 3 expressions with local error:

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

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
59×*-un-lft-identity
48×prod-diff
43×add-sqr-sqrt
31×add-cube-cbrt
26×pow1
23×log-pow
20×distribute-lft-out--
17×associate--r+
7×log-prod fma-neg
6×add-log-exp difference-of-squares
4×diff-log associate--l+
3×expm1-log1p-u sub-neg add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u
2×associate--l- log-div flip3-- flip--
1×flip3-+ flip-+ fma-udef distribute-lft-out associate--r-
Counts
3 → 119
Calls
3 calls:
Slowest
39.0ms
(- (log (+ y x)) (- t (log z)))
6.0ms
(- t (log z))
0.0ms
(fma (log t) (- a 0.5) (- (log (+ y x)) (- t (log z))))

series684.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
499.0ms
(- (log (+ y x)) (- t (log z)))
148.0ms
(fma (log t) (- a 0.5) (- (log (+ y x)) (- t (log z))))
37.0ms
(- t (log z))

simplify1.6s

Counts
128 → 128

prune2.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize77.0ms

Local error

Found 4 expressions with local error:

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

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube insert-posit16 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 → 107
Calls
4 calls:
Slowest
38.0ms
(* (cbrt (+ y x)) (cbrt (+ y x)))
3.0ms
(cbrt (+ y x))
3.0ms
(cbrt (+ y x))
3.0ms
(cbrt (+ y x))

series793.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
221.0ms
(cbrt (+ y x))
193.0ms
(cbrt (+ y x))
192.0ms
(* (cbrt (+ y x)) (cbrt (+ y x)))
187.0ms
(cbrt (+ y x))

simplify810.0ms

Counts
119 → 119

prune2.4s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize63.0ms

Local error

Found 4 expressions with local error:

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

rewrite237.0ms

Algorithm
rewrite-expression-head
Rules
207×*-un-lft-identity
166×prod-diff
130×log-pow
117×add-sqr-sqrt
113×pow1
112×distribute-lft-out--
77×add-cube-cbrt
70×associate--r+
44×associate--l+
21×sqrt-pow1 pow1/2
20×difference-of-squares
16×log-prod
13×fma-neg
10×diff-log add-log-exp
6×sub-neg sqrt-prod
4×expm1-log1p-u add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u
3×associate--l- flip3-- flip--
2×log-div
1×flip3-+ flip-+ fma-udef distribute-lft-out associate--r-
Counts
4 → 289
Calls
4 calls:
Slowest
123.0ms
(- (log (+ y x)) (- (- t (log (sqrt z))) (log (sqrt z))))
88.0ms
(- (- t (log (sqrt z))) (log (sqrt z)))
14.0ms
(- t (log (sqrt z)))
0.0ms
(fma (log t) (- a 0.5) (- (log (+ y x)) (- (- t (log (sqrt z))) (log (sqrt z)))))

series429.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
176.0ms
(- (log (+ y x)) (- (- t (log (sqrt z))) (log (sqrt z))))
136.0ms
(fma (log t) (- a 0.5) (- (log (+ y x)) (- (- t (log (sqrt z))) (log (sqrt z)))))
72.0ms
(- (- t (log (sqrt z))) (log (sqrt z)))
44.0ms
(- t (log (sqrt z)))

simplify1.1s

Counts
301 → 301

prune5.6s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize71.0ms

Local error

Found 4 expressions with local error:

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

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 insert-posit16 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 → 85
Calls
4 calls:
Slowest
16.0ms
(* (cbrt (fma (log t) (- a 0.5) (- (log (+ y x)) (- (- t (log (sqrt z))) (log (sqrt z)))))) (cbrt (fma (log t) (- a 0.5) (- (log (+ y x)) (- (- t (log (sqrt z))) (log (sqrt z)))))))
1.0ms
(cbrt (fma (log t) (- a 0.5) (- (log (+ y x)) (- (- t (log (sqrt z))) (log (sqrt z))))))
1.0ms
(cbrt (fma (log t) (- a 0.5) (- (log (+ y x)) (- (- t (log (sqrt z))) (log (sqrt z))))))
1.0ms
(cbrt (fma (log t) (- a 0.5) (- (log (+ y x)) (- (- t (log (sqrt z))) (log (sqrt z))))))

series4.5s

Counts
4 → 12
Calls
4 calls:
Slowest
1.4s
(* (cbrt (fma (log t) (- a 0.5) (- (log (+ y x)) (- (- t (log (sqrt z))) (log (sqrt z)))))) (cbrt (fma (log t) (- a 0.5) (- (log (+ y x)) (- (- t (log (sqrt z))) (log (sqrt z)))))))
1.1s
(cbrt (fma (log t) (- a 0.5) (- (log (+ y x)) (- (- t (log (sqrt z))) (log (sqrt z))))))
1.1s
(cbrt (fma (log t) (- a 0.5) (- (log (+ y x)) (- (- t (log (sqrt z))) (log (sqrt z))))))
968.0ms
(cbrt (fma (log t) (- a 0.5) (- (log (+ y x)) (- (- t (log (sqrt z))) (log (sqrt z))))))

simplify4.7s

Counts
97 → 97

prune2.0s

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.1b

regimes1.4s

Accuracy

0% (0.2b remaining)

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

bsearch3.0ms

end0.0ms

sample14.4s

Algorithm
intervals
Results
9.9s57172×body80nan
1.4s8032×body80valid