Details

Time bar (total: 33.5s)

sample287.0ms

Algorithm
intervals
Results
170.0ms1676×body80nan
25.0ms257×body80valid

simplify2.2s

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

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize24.0ms

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)))
0.2b
(+ (log (+ y x)) (- (log z) t))

rewrite38.0ms

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)))
22.0ms
(+ (log (+ y x)) (- (log z) t))

series372.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(- (log z) t)
108.0ms
(fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t)))
190.0ms
(+ (log (+ y x)) (- (log z) t))

simplify1.1s

Counts
103 → 103
Iterations
IterNodes
done5001
21450
1440
0185

prune659.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
23×distribute-lft-out
15×pow1
14×fma-def
12×log-pow
9×add-sqr-sqrt distribute-rgt-neg-in add-cube-cbrt
8×add-log-exp
7×log-prod sum-log
4×associate-+l+ associate-+r+ associate-+l-
3×distribute-lft-neg-in expm1-log1p-u flip3-+ add-cbrt-cube add-exp-log flip-+ log1p-expm1-u
2×neg-sub0 +-commutative log-div neg-log
1×associate-+r- neg-mul-1 fma-udef
Counts
3 → 79
Calls
3 calls:
11.0ms
(+ (- t) (log z))
0.0ms
(fma (log t) (- a 0.5) (+ (log (+ y x)) (+ (- t) (log z))))
56.0ms
(+ (log (+ y x)) (+ (- t) (log z)))

series283.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(+ (- t) (log z))
122.0ms
(fma (log t) (- a 0.5) (+ (log (+ y x)) (+ (- t) (log z))))
130.0ms
(+ (log (+ y x)) (+ (- t) (log z)))

simplify1.8s

Counts
88 → 88
Iterations
IterNodes
done5000
21768
1397
0153

prune665.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize81.0ms

Local error

Found 4 expressions with local error:

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

rewrite94.0ms

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 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 → 103
Calls
4 calls:
60.0ms
(* (cbrt (+ y x)) (cbrt (+ y x)))
16.0ms
(cbrt (+ y x))
6.0ms
(cbrt (+ y x))
6.0ms
(cbrt (+ y x))

series783.0ms

Counts
4 → 12
Calls
4 calls:
255.0ms
(* (cbrt (+ y x)) (cbrt (+ y x)))
164.0ms
(cbrt (+ y x))
191.0ms
(cbrt (+ y x))
172.0ms
(cbrt (+ y x))

simplify1.4s

Counts
115 → 115
Iterations
IterNodes
done5001
21129
1287
0120

prune1.1s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize62.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t)))) (cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t)))))
0.6b
(cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t))))
0.6b
(cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t))))
0.6b
(cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t))))

rewrite14.0ms

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:
10.0ms
(* (cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t)))) (cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t)))))
1.0ms
(cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t))))
1.0ms
(cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t))))
1.0ms
(cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t))))

series4.4s

Counts
4 → 12
Calls
4 calls:
1.3s
(* (cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t)))) (cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t)))))
1.1s
(cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t))))
1.1s
(cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t))))
976.0ms
(cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t))))

simplify3.9s

Counts
93 → 93
Iterations
IterNodes
done5000
24479
1966
0313

prune1.1s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes1.4s

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done18
118
015

end0.0ms

sample11.6s

Algorithm
intervals
Results
7.7s56219×body80nan
1.1s8037×body80valid