Details

Time bar (total: 28.0s)

sample38.0ms

Algorithm
intervals
Results
17.0ms273×body80valid

simplify6.2s

Counts
1 → 1
Iterations

Useful iterations: 3 (13.0ms)

IterNodesCost
01011
11711
23511
36310
410610
517910
632910
766010
8129510
9252510
done500010

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- a z))
0.8b
(fma (/ (- y z) (- a z)) t x)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt *-un-lft-identity
25×times-frac
14×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
4×add-exp-log add-cbrt-cube
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv frac-2neg div-sub div-exp clear-num fma-udef div-inv
Counts
2 → 64
Calls
2 calls:
33.0ms
(/ (- y z) (- a z))
1.0ms
(fma (/ (- y z) (- a z)) t x)

series178.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(/ (- y z) (- a z))
114.0ms
(fma (/ (- y z) (- a z)) t x)

simplify2.4s

Counts
70 → 70
Iterations

Useful iterations: 3 (784.0ms)

IterNodesCost
0113884
1264856
2826810
34309808
done5000808

prune286.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a z))
0.2b
(* (- y z) (/ 1 (- a z)))
0.8b
(fma (* (- y z) (/ 1 (- a z))) t x)

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
40×*-un-lft-identity
32×times-frac
23×add-cube-cbrt
21×associate-*r*
16×add-exp-log
10×add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
6×pow1
5×associate-*l* associate-/r*
4×flip3-- div-exp prod-exp associate-/r/ flip--
3×expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative fma-udef inv-pow
Counts
3 → 105
Calls
3 calls:
21.0ms
(/ 1 (- a z))
56.0ms
(* (- y z) (/ 1 (- a z)))
1.0ms
(fma (* (- y z) (/ 1 (- a z))) t x)

series311.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(/ 1 (- a z))
74.0ms
(* (- y z) (/ 1 (- a z)))
163.0ms
(fma (* (- y z) (/ 1 (- a z))) t x)

simplify6.4s

Counts
114 → 114
Iterations

Useful iterations: 2 (693.0ms)

IterNodesCost
01491251
13561101
22788924
done5001924

prune494.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.8b
(fma (* (* (cbrt (/ (- y z) (- a z))) (cbrt (/ (- y z) (- a z)))) (cbrt (/ (- y z) (- a z)))) t x)
3.5b
(cbrt (/ (- y z) (- a z)))
3.5b
(cbrt (/ (- y z) (- a z)))
3.5b
(cbrt (/ (- y z) (- a z)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
97×add-sqr-sqrt *-un-lft-identity
93×cbrt-prod
75×times-frac
37×add-cube-cbrt
30×distribute-lft-out-- difference-of-squares
6×associate-/r/
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×cbrt-div flip3-- pow1/3 flip-- div-inv
1×fma-udef
Counts
4 → 136
Calls
4 calls:
0.0ms
(fma (* (* (cbrt (/ (- y z) (- a z))) (cbrt (/ (- y z) (- a z)))) (cbrt (/ (- y z) (- a z)))) t x)
17.0ms
(cbrt (/ (- y z) (- a z)))
21.0ms
(cbrt (/ (- y z) (- a z)))
18.0ms
(cbrt (/ (- y z) (- a z)))

series1.8s

Counts
4 → 12
Calls
4 calls:
157.0ms
(fma (* (* (cbrt (/ (- y z) (- a z))) (cbrt (/ (- y z) (- a z)))) (cbrt (/ (- y z) (- a z)))) t x)
519.0ms
(cbrt (/ (- y z) (- a z)))
581.0ms
(cbrt (/ (- y z) (- a z)))
494.0ms
(cbrt (/ (- y z) (- a z)))

simplify1.6s

Counts
148 → 148
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01752777
13332684
27222387
324032327
done50012261

prune782.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (/ (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- a z)) (cbrt (- a z)))))
0.8b
(fma (* (* (* (cbrt (/ (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- a z)) (cbrt (- a z))))) (cbrt (/ (cbrt (- y z)) (cbrt (- a z))))) (cbrt (/ (- y z) (- a z)))) (cbrt (/ (- y z) (- a z)))) t x)
3.5b
(cbrt (/ (- y z) (- a z)))
3.5b
(cbrt (/ (- y z) (- a z)))

rewrite510.0ms

Algorithm
rewrite-expression-head
Rules
75×cbrt-prod
67×add-sqr-sqrt *-un-lft-identity
51×times-frac
27×add-cube-cbrt
20×distribute-lft-out-- difference-of-squares
15×cbrt-div
12×associate-/r/
8×flip3-- flip--
4×pow1 add-exp-log expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3 div-inv
2×associate-*r/ associate-*l/
1×fma-udef
Counts
4 → 118
Calls
4 calls:
35.0ms
(cbrt (/ (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- a z)) (cbrt (- a z)))))
1.0ms
(fma (* (* (* (cbrt (/ (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- a z)) (cbrt (- a z))))) (cbrt (/ (cbrt (- y z)) (cbrt (- a z))))) (cbrt (/ (- y z) (- a z)))) (cbrt (/ (- y z) (- a z)))) t x)
21.0ms
(cbrt (/ (- y z) (- a z)))
19.0ms
(cbrt (/ (- y z) (- a z)))

series1.7s

Counts
4 → 12
Calls
4 calls:
522.0ms
(cbrt (/ (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- a z)) (cbrt (- a z)))))
164.0ms
(fma (* (* (* (cbrt (/ (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- a z)) (cbrt (- a z))))) (cbrt (/ (cbrt (- y z)) (cbrt (- a z))))) (cbrt (/ (- y z) (- a z)))) (cbrt (/ (- y z) (- a z)))) t x)
500.0ms
(cbrt (/ (- y z) (- a z)))
554.0ms
(cbrt (/ (- y z) (- a z)))

simplify2.5s

Counts
130 → 130
Iterations

Useful iterations: done (2.5s)

IterNodesCost
02613123
15283031
211872816
341262789
done50012784

prune1.0s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes373.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0910
done910

end0.0ms

sample1.2s

Algorithm
intervals
Results
550.0ms8725×body80valid
0.0ms1×body320valid
0.0ms1×body640valid
0.0ms1×body160valid