Details

Time bar (total: 41.2s)

sample375.0ms

Algorithm
intervals
Results
251.0ms1774×body80nan
58.0ms258×body80valid

simplify480.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
479.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize26.0ms

Local error

Found 2 expressions with local error:

0.4b
(fma (- a 0.5) (log t) (log z))
0.1b
(+ (- (log (+ y x)) t) (fma (- a 0.5) (log t) (log z)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
18×associate-+l+
13×add-sqr-sqrt
12×prod-diff
11×add-cube-cbrt
7×pow1
6×fma-def add-log-exp
5×log-pow
4×log-prod associate--l+ distribute-lft-out distribute-lft-out--
2×expm1-log1p-u sum-log add-cbrt-cube add-exp-log fma-udef insert-posit16 log1p-expm1-u
1×+-commutative associate-+r+ sub-neg flip3-+ diff-log associate-+l- flip-+ difference-of-squares
Counts
2 → 55
Calls
2 calls:
Slowest
44.0ms
(+ (- (log (+ y x)) t) (fma (- a 0.5) (log t) (log z)))
0.0ms
(fma (- a 0.5) (log t) (log z))

series340.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
197.0ms
(+ (- (log (+ y x)) t) (fma (- a 0.5) (log t) (log z)))
143.0ms
(fma (- a 0.5) (log t) (log z))

simplify3.7s

Counts
34 → 61
Calls
34 calls:
Slowest
491.0ms
(- (+ (* 0.5 (log (/ -1 t))) (+ (* a (log -1)) (* 0.5 (log -1)))) (+ (* a (log (/ -1 t))) (log (/ -1 z))))
411.0ms
(- (* 0.5 (log (/ 1 t))) (+ t (+ (log (/ 1 z)) (+ (* a (log (/ 1 t))) (log (/ 1 y))))))
346.0ms
(* (exp (- (log (+ y x)) t)) (exp (fma (- a 0.5) (log t) (log z))))
346.0ms
(- (* 0.5 (log (/ 1 t))) (+ (log (/ 1 z)) (* a (log (/ 1 t)))))
286.0ms
(+ (- (log (+ y x)) t) (fma (- a 0.5) (log t) (log z)))

prune974.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize55.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (- a 0.5) (log t))
0.1b
(+ (+ (- (log (+ y x)) t) (* (- a 0.5) (log t))) (log z))
0.1b
(+ (- (log (+ y x)) t) (* (- a 0.5) (log t)))

rewrite253.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
26×add-sqr-sqrt
20×add-cube-cbrt
19×associate-+l+ log-prod
12×prod-diff add-log-exp
11×pow1
9×associate-+r+ fma-def
7×sum-log
6×distribute-rgt-in distribute-lft-in associate-*l/ log-pow
5×flip3-- add-cbrt-cube associate-*l* add-exp-log flip--
4×associate-*r* frac-add associate--l+
3×expm1-log1p-u associate-+l- insert-posit16 log1p-expm1-u distribute-lft-out distribute-lft-out--
2×+-commutative flip3-+ diff-log flip-+ difference-of-squares
1×sub-neg pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 108
Calls
3 calls:
Slowest
152.0ms
(+ (+ (- (log (+ y x)) t) (* (- a 0.5) (log t))) (log z))
56.0ms
(+ (- (log (+ y x)) t) (* (- a 0.5) (log t)))
42.0ms
(* (- a 0.5) (log t))

series525.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
235.0ms
(+ (+ (- (log (+ y x)) t) (* (- a 0.5) (log t))) (log z))
189.0ms
(+ (- (log (+ y x)) t) (* (- a 0.5) (log t)))
101.0ms
(* (- a 0.5) (log t))

simplify9.1s

Counts
79 → 117
Calls
79 calls:
Slowest
502.0ms
(- (+ (* 0.5 (log (/ -1 t))) (* a (log -1))) (+ (* a (log (/ -1 t))) (* 0.5 (log -1))))
445.0ms
(* (exp (- (log (+ y x)) t)) (exp (* (- a 0.5) (log t))))
431.0ms
(+ (* (- (pow (log (+ y x)) 3) (pow t 3)) (+ (* a a) (+ (* 0.5 0.5) (* a 0.5)))) (* (+ (* (log (+ y x)) (log (+ y x))) (+ (* t t) (* (log (+ y x)) t))) (* (- (pow a 3) (pow 0.5 3)) (log t))))
406.0ms
(* (* (/ (+ y x) (exp t)) (exp (* (- a 0.5) (log t)))) z)
391.0ms
(* (+ (* (log (+ y x)) (log (+ y x))) (+ (* t t) (* (log (+ y x)) t))) (+ a 0.5))

prune1.8s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize83.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(* (cbrt z) (cbrt 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
15.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
317.0ms
(cbrt z)
291.0ms
(* (cbrt z) (cbrt z))
271.0ms
(cbrt z)
230.0ms
(cbrt z)

simplify986.0ms

Counts
63 → 97
Calls
63 calls:
Slowest
146.0ms
(* (pow (cbrt -1) 2) (pow (pow z 2) 1/3))
144.0ms
(* (cbrt -1) (pow (* z -1) 1/3))
131.0ms
(* (cbrt -1) (pow (* z -1) 1/3))
114.0ms
(* (cbrt -1) (pow (* z -1) 1/3))
112.0ms
(* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (* (cbrt (cbrt z)) (cbrt (cbrt z))))

prune1.8s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt t) (cbrt t))
0.5b
(cbrt t)
0.5b
(cbrt t)
0.5b
(cbrt t)

rewrite22.0ms

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 t) (cbrt t))
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series1.5s

Counts
4 → 12
Calls
4 calls:
Slowest
679.0ms
(* (cbrt t) (cbrt t))
295.0ms
(cbrt t)
285.0ms
(cbrt t)
266.0ms
(cbrt t)

simplify1.0s

Counts
63 → 97
Calls
63 calls:
Slowest
156.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
150.0ms
(* (pow (pow t 2) 1/3) (pow (cbrt -1) 2))
143.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
122.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
84.0ms
(* (* (cbrt (cbrt t)) (cbrt (cbrt t))) (* (cbrt (cbrt t)) (cbrt (cbrt t))))

prune1.8s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes1.0s

Accuracy

0% (0.2b remaining)

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

bsearch3.0ms

end0.0ms

sample14.0s

Algorithm
intervals
Results
10.7s55992×body80nan
1.4s8042×body80valid