Details

Time bar (total: 46.4s)

sample453.0ms

Algorithm
intervals
Results
289.0ms2011×body80nan
37.0ms256×body80valid

simplify2.0s

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

localize42.0ms

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))

rewrite25.0ms

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 insert-posit16 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 → 97
Calls
3 calls:
7.0ms
(- (log z) t)
0.0ms
(fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t)))
17.0ms
(+ (log (+ y x)) (- (log z) t))

series411.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(- (log z) t)
111.0ms
(fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t)))
213.0ms
(+ (log (+ y x)) (- (log z) t))

simplify1.0s

Counts
106 → 106
Iterations
IterNodes
done5001
21452
1443
0188

prune610.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

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 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 → 93
Calls
4 calls:
10.0ms
(* (cbrt (log (+ y x))) (cbrt (log (+ y x))))
1.0ms
(cbrt (log (+ y x)))
4.0ms
(cbrt (log (+ y x)))
1.0ms
(cbrt (log (+ y x)))

series3.1s

Counts
4 → 12
Calls
4 calls:
1.4s
(* (cbrt (log (+ y x))) (cbrt (log (+ y x))))
624.0ms
(cbrt (log (+ y x)))
547.0ms
(cbrt (log (+ y x)))
468.0ms
(cbrt (log (+ y x)))

simplify5.4s

Counts
105 → 105
Iterations
IterNodes
done5000
34301
2597
1160
071

prune909.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize47.0ms

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

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 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:
14.0ms
(* (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)))))
2.0ms
(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))))
2.0ms
(cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t))))

series3.8s

Counts
4 → 12
Calls
4 calls:
967.0ms
(* (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)))))
948.0ms
(cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t))))
958.0ms
(cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t))))
954.0ms
(cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t))))

simplify3.6s

Counts
97 → 97
Iterations
IterNodes
done5000
24492
1968
0315

prune1.1s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

localize82.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
Counts
4 → 57
Calls
4 calls:
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))))
2.0ms
(cbrt (cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t)))))
8.0ms
(cbrt (* (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))))))

series4.0s

Counts
4 → 12
Calls
4 calls:
993.0ms
(cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t))))
980.0ms
(cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t))))
1.0s
(cbrt (cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t)))))
992.0ms
(cbrt (* (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))))))

simplify4.0s

Counts
69 → 69
Iterations
IterNodes
done5000
11256
0422

prune947.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes1.4s

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done17
117
016

end0.0ms

sample13.3s

Algorithm
intervals
Results
8.7s56439×body80nan
1.3s8029×body80valid