Details

Time bar (total: 41.0s)

sample261.0ms

Algorithm
intervals
Results
82.0ms725×body80nan
62.0ms290×body80valid

simplify11.4s

Counts
1 → 1
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
02021
13920
210918
342418
4140018
5358218
done500018

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize55.0ms

Local error

Found 2 expressions with local error:

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

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
2×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
2 → 20
Calls
2 calls:
1.0ms
(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
1.0ms
(fma x (log y) z)

series549.0ms

Counts
2 → 6
Calls
2 calls:
480.0ms
(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
69.0ms
(fma x (log y) z)

simplify659.0ms

Counts
26 → 26
Iterations

Useful iterations: done (657.0ms)

IterNodesCost
058337
1102332
2229287
3784280
done5002270

prune177.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b
(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)))))

rewrite29.0ms

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)
25.0ms
(* (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:
557.0ms
(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
82.0ms
(fma x (log y) z)
98.0ms
(fma x (log y) z)
445.0ms
(* (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)))))

simplify1.3s

Counts
93 → 93
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01032437
11751633
24241419
315241318
done50011240

prune489.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize70.0ms

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

rewrite36.0ms

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:
29.0ms
(* (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))))

series4.2s

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)))))
826.0ms
(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
832.0ms
(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
824.0ms
(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

prune897.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

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

series3.3s

Counts
4 → 12
Calls
4 calls:
840.0ms
(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
851.0ms
(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
790.0ms
(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
794.0ms
(cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))

simplify1.9s

Counts
64 → 64
Iterations

Useful iterations: done (1.9s)

IterNodesCost
0801812
11791768
24361616
313411540
done50001416

prune835.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes697.0ms

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

sample10.2s

Algorithm
intervals
Results
4.4s27165×body80nan
2.1s9210×body80valid
0.0ms1×body640valid
0.0ms2×body160valid