Details

Time bar (total: 30.7s)

sample280.0ms

Algorithm
intervals
Results
97.0ms983×body80nan
54.0ms297×body80valid

simplify2.0s

Counts
1 → 1
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
02021
13920
210918
344818
4185018
done500018

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
7×*-un-lft-identity
6×add-log-exp
5×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube fma-udef log1p-expm1-u
3×fma-def
1×+-commutative associate-+l+ flip3-+ sum-log flip-+ distribute-lft-out
Counts
4 → 48
Calls
4 calls:
11.0ms
(+ (fma x (log y) z) t)
1.0ms
(fma y i (fma (log c) (- b 0.5) (+ a (+ (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)

series1.5s

Counts
4 → 12
Calls
4 calls:
59.0ms
(+ (fma x (log y) z) t)
960.0ms
(fma y i (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
411.0ms
(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
64.0ms
(fma x (log y) z)

simplify1.9s

Counts
60 → 60
Iterations

Useful iterations: 3 (405.0ms)

IterNodesCost
096797
1204783
2590684
33636670
done5000670

prune390.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize53.0ms

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:
18.0ms
(* (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))))
1.0ms
(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))))

series3.9s

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)))))
739.0ms
(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
833.0ms
(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
787.0ms
(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))

simplify784.0ms

Counts
93 → 93
Iterations

Useful iterations: done (778.0ms)

IterNodesCost
01553242
14073036
215742757
done50002407

prune873.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize62.0ms

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

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×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 → 52
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))))
1.0ms
(cbrt (fma (- b 0.5) (log c) (+ a (+ (fma x (log y) z) t))))

series3.2s

Counts
4 → 12
Calls
4 calls:
845.0ms
(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
713.0ms
(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
709.0ms
(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
907.0ms
(cbrt (fma (- b 0.5) (log c) (+ a (+ (fma x (log y) z) t))))

simplify1.2s

Counts
64 → 64
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0971767
12031724
25161572
317211506
done50001401

prune730.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
0.1b
(fma x (log y) z)
0.1b
(fma x (log y) z)
0.2b
(* (sqrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))) (sqrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×pow1
18×sqrt-prod
12×add-cube-cbrt *-un-lft-identity
8×sqrt-pow1 pow1/2 swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube
5×pow-prod-up
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down pow-sqr fma-udef
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
0.0ms
(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
0.0ms
(fma x (log y) z)
0.0ms
(fma x (log y) z)
19.0ms
(* (sqrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))) (sqrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))))

series1.2s

Counts
4 → 12
Calls
4 calls:
523.0ms
(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
84.0ms
(fma x (log y) z)
82.0ms
(fma x (log y) z)
482.0ms
(* (sqrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))) (sqrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))))

simplify2.2s

Counts
93 → 93
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01032437
11921633
25081419
326821318
done50011240

prune528.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes843.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01718
11918
done1918

end0.0ms

sample9.1s

Algorithm
intervals
Results
4.1s27519×body80nan
1.7s9243×body80valid
1.0ms1×body160valid
1.0ms1×body640valid
0.0ms1×body320valid