Details

Time bar (total: 20.8s)

sample129.0ms

Algorithm
intervals
Results
52.0ms918×body80nan
18.0ms286×body80valid
0.0ms1×body640valid

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
02021
13920
210718
339018
4129418
5315818
6493618
done500018

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ a (+ (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)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity
9×add-log-exp
5×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
3×fma-def sum-log fma-udef distribute-lft-out
1×+-commutative associate-+r+ flip3-+ flip-+
Counts
4 → 50
Calls
4 calls:
7.0ms
(+ a (+ (fma x (log y) z) t))
0.0ms
(fma y i (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
0.0ms
(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
0.0ms
(fma x (log y) z)

series1.4s

Counts
4 → 12
Calls
4 calls:
64.0ms
(+ a (+ (fma x (log y) z) t))
902.0ms
(fma y i (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
329.0ms
(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
58.0ms
(fma x (log y) z)

simplify732.0ms

Counts
62 → 62
Iterations

Useful iterations: 3 (232.0ms)

IterNodesCost
0102864
1217842
2556739
32407728
done5001728

prune291.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (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))))

rewrite9.0ms

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:
5.0ms
(* (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)))))
0.0ms
(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))))

series2.7s

Counts
4 → 12
Calls
4 calls:
1.1s
(* (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)))))
540.0ms
(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
532.0ms
(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
544.0ms
(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))

simplify548.0ms

Counts
93 → 93
Iterations

Useful iterations: done (544.0ms)

IterNodesCost
01553242
13753036
212172760
done50002705

prune492.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

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))))
0.7b
(pow (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))) 3)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×unpow-prod-down cube-prod
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×cube-mult pow-to-exp unpow3 pow-exp rem-cube-cbrt sqr-pow
Counts
4 → 71
Calls
4 calls:
0.0ms
(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
0.0ms
(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
0.0ms
(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
2.0ms
(pow (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))) 3)

series1.8s

Counts
4 → 12
Calls
4 calls:
535.0ms
(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
543.0ms
(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
542.0ms
(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
221.0ms
(pow (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))) 3)

simplify2.7s

Counts
83 → 83
Iterations

Useful iterations: 3 (596.0ms)

IterNodesCost
01162284
12832018
28541782
345911733
done50001733

prune436.0ms

Pruning

6 alts after pruning (4 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 (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))))
0.7b
(pow (* (cbrt (pow (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))) 2)) (cbrt (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))))) 3)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×pow1 add-exp-log
5×pow1/3 add-cbrt-cube
4×expm1-log1p-u pow-pow log1p-expm1-u add-log-exp
3×pow-unpow
2×pow-prod-down pow-exp rem-cube-cbrt
1×cube-mult pow-to-exp unpow-prod-down unpow3 cube-prod pow3 prod-exp cbrt-unprod unpow2 sqr-pow
Counts
4 → 68
Calls
4 calls:
0.0ms
(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
0.0ms
(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
1.0ms
(cbrt (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))))
5.0ms
(pow (* (cbrt (pow (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))) 2)) (cbrt (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))))) 3)

series1.9s

Counts
4 → 12
Calls
4 calls:
548.0ms
(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
549.0ms
(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
554.0ms
(cbrt (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))))
225.0ms
(pow (* (cbrt (pow (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))) 2)) (cbrt (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))))) 3)

simplify660.0ms

Counts
80 → 80
Iterations

Useful iterations: done (657.0ms)

IterNodesCost
01642561
13812286
211201762
done50001719

prune525.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes491.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01718
11918
done1918

end0.0ms

sample3.7s

Algorithm
intervals
Results
1.5s27556×body80nan
588.0ms9195×body80valid
1.0ms2×body640valid
0.0ms1×body160valid