Details

Time bar (total: 47.9s)

sample356.0ms

Algorithm
intervals
Results
130.0ms919×body80nan
42.0ms283×body80valid

simplify11.6s

Counts
1 → 1
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
02021
13920
210918
342418
4140018
5358218
done500018

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (fma x (log y) z) t)
0.1b
(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
0.1b
(fma x (log y) z)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
6×*-un-lft-identity
5×add-log-exp
4×add-sqr-sqrt add-cube-cbrt
3×pow1 add-exp-log expm1-log1p-u fma-def add-cbrt-cube fma-udef log1p-expm1-u
1×+-commutative associate-+l+ flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 38
Calls
3 calls:
7.0ms
(+ (fma x (log y) z) t)
8.0ms
(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
0.0ms
(fma x (log y) z)

series687.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(+ (fma x (log y) z) t)
564.0ms
(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
60.0ms
(fma x (log y) z)

simplify1.4s

Counts
47 → 47
Iterations

Useful iterations: done (1.4s)

IterNodesCost
081541
1168519
2419469
31629455
done5000440

prune393.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
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:
25.0ms
(* (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))) (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))))
2.0ms
(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
2.0ms
(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
2.0ms
(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))

series4.7s

Counts
4 → 12
Calls
4 calls:
1.7s
(* (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))) (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))))
855.0ms
(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
795.0ms
(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
1.3s
(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))

simplify2.7s

Counts
93 → 93
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01553242
13753036
211082757
344772336
done50002333

prune812.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 61
Calls
4 calls:
1.0ms
(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
2.0ms
(cbrt (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))))
2.0ms
(cbrt (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))))
2.0ms
(cbrt (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))))

series3.2s

Counts
4 → 12
Calls
4 calls:
780.0ms
(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
801.0ms
(cbrt (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))))
844.0ms
(cbrt (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))))
824.0ms
(cbrt (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))))

simplify1.5s

Counts
73 → 73
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01242193
12862155
27451985
323241879
done50001764

prune653.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

localize76.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))))
0.5b
(cbrt (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))))
0.5b
(cbrt (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))))
1.2b
(pow (cbrt (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))) (* 2 3))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
5×pow1 add-exp-log
4×expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-pow
1×pow-to-exp pow-unpow pow-exp sqr-pow
Counts
4 → 72
Calls
4 calls:
2.0ms
(cbrt (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))))
2.0ms
(cbrt (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))))
2.0ms
(cbrt (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))))
6.0ms
(pow (cbrt (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))) (* 2 3))

series3.6s

Counts
4 → 12
Calls
4 calls:
787.0ms
(cbrt (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))))
612.0ms
(cbrt (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))))
862.0ms
(cbrt (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))))
1.4s
(pow (cbrt (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))) (* 2 3))

simplify2.5s

Counts
84 → 84
Iterations

Useful iterations: 3 (936.0ms)

IterNodesCost
01642738
14092481
211292227
345912053
done50002053

prune877.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes1.4s

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01718
11918
done1918

end0.0ms

sample11.2s

Algorithm
intervals
Results
4.8s27784×body80nan
2.5s9223×body80valid
1.0ms2×body640valid
0.0ms1×body160valid