Details

Time bar (total: 50.8s)

sample251.0ms

Algorithm
intervals
Results
97.0ms813×body80nan
33.0ms287×body80valid

simplify10.6s

Counts
1 → 1
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
02021
13920
210918
342418
4140018
5358218
done500018

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize41.0ms

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)

rewrite15.0ms

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:
12.0ms
(+ (fma x (log y) z) t)
1.0ms
(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
1.0ms
(fma x (log y) z)

series607.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(+ (fma x (log y) z) t)
445.0ms
(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
89.0ms
(fma x (log y) z)

simplify1.3s

Counts
47 → 47
Iterations

Useful iterations: done (1.3s)

IterNodesCost
081541
1168519
2419469
31629455
done5000440

prune319.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.1b

localize51.0ms

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))))

rewrite26.0ms

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:
19.0ms
(* (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)))))
1.0ms
(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
1.0ms
(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
1.0ms
(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))

series4.0s

Counts
4 → 12
Calls
4 calls:
1.5s
(* (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)))))
875.0ms
(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
774.0ms
(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
868.0ms
(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))

simplify2.4s

Counts
93 → 93
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01553242
13753036
211082757
344772336
done50002333

prune808.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

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 (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))))
0.9b
(pow (cbrt (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))) 4)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
11×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
3×pow-unpow
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 65
Calls
4 calls:
1.0ms
(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
1.0ms
(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
1.0ms
(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
5.0ms
(pow (cbrt (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))) 4)

series7.4s

Counts
4 → 12
Calls
4 calls:
892.0ms
(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
785.0ms
(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
777.0ms
(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
5.0s
(pow (cbrt (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))) 4)

simplify894.0ms

Counts
77 → 77
Iterations

Useful iterations: done (889.0ms)

IterNodesCost
01872424
14792278
214452109
done50011989

prune744.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize50.0ms

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 (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))))
0.9b
(pow (cbrt (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))) 4)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
11×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
3×pow-unpow
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 65
Calls
4 calls:
1.0ms
(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
1.0ms
(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
1.0ms
(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
5.0ms
(pow (cbrt (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))) 4)

series7.6s

Counts
4 → 12
Calls
4 calls:
753.0ms
(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
807.0ms
(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
774.0ms
(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
5.3s
(pow (cbrt (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))) 4)

simplify1.3s

Counts
77 → 77
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01872424
14792278
214452109
done50011989

prune807.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes599.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01718
11918
done1918

end0.0ms

sample10.8s

Algorithm
intervals
Results
4.5s28660×body80nan
1.3s9184×body80valid
1.0ms2×body640valid
0.0ms1×body320valid
0.0ms1×body160valid