Details

Time bar (total: 20.0s)

sample40.0ms

Algorithm
intervals
Results
16.0ms279×body80valid

simplify6.3s

Counts
1 → 1
Iterations

Useful iterations: 3 (19.0ms)

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

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- a z))
0.5b
(fma (/ (- y z) (- a z)) t x)

rewrite39.0ms

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:
36.0ms
(/ (- y z) (- a z))
1.0ms
(fma (/ (- y z) (- a z)) t x)

series241.0ms

Counts
2 → 6
Calls
2 calls:
90.0ms
(/ (- y z) (- a z))
150.0ms
(fma (/ (- y z) (- a z)) t x)

simplify2.4s

Counts
70 → 70
Iterations

Useful iterations: 3 (752.0ms)

IterNodesCost
0113884
1264856
2826810
34309808
done5000808

prune242.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(fma (* (* (cbrt (/ (- y z) (- a z))) (cbrt (/ (- y z) (- a z)))) (cbrt (/ (- y z) (- a z)))) t x)
4.2b
(cbrt (/ (- y z) (- a z)))
4.2b
(cbrt (/ (- y z) (- a z)))
4.2b
(cbrt (/ (- y z) (- a z)))

rewrite52.0ms

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)
11.0ms
(cbrt (/ (- y z) (- a z)))
10.0ms
(cbrt (/ (- y z) (- a z)))
18.0ms
(cbrt (/ (- y z) (- a z)))

series1.5s

Counts
4 → 12
Calls
4 calls:
134.0ms
(fma (* (* (cbrt (/ (- y z) (- a z))) (cbrt (/ (- y z) (- a z)))) (cbrt (/ (- y z) (- a z)))) t x)
409.0ms
(cbrt (/ (- y z) (- a z)))
461.0ms
(cbrt (/ (- y z) (- a z)))
485.0ms
(cbrt (/ (- y z) (- a z)))

simplify1.3s

Counts
148 → 148
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01752777
13332684
27222387
324032327
done50012261

prune876.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(fma (* (* (cbrt (- y z)) (cbrt (- y z))) (/ (cbrt (- y z)) (- a z))) t x)
0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
13×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
6×cbrt-div
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×flip3-- pow1/3 flip-- distribute-lft-out-- difference-of-squares
1×fma-udef
Counts
4 → 61
Calls
4 calls:
0.0ms
(fma (* (* (cbrt (- y z)) (cbrt (- y z))) (/ (cbrt (- y z)) (- a z))) t x)
10.0ms
(cbrt (- y z))
4.0ms
(cbrt (- y z))
5.0ms
(cbrt (- y z))

series931.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(fma (* (* (cbrt (- y z)) (cbrt (- y z))) (/ (cbrt (- y z)) (- a z))) t x)
243.0ms
(cbrt (- y z))
298.0ms
(cbrt (- y z))
220.0ms
(cbrt (- y z))

simplify1.2s

Counts
73 → 73
Iterations

Useful iterations: done (1.2s)

IterNodesCost
093891
1191873
2480719
31566650
done5001614

prune454.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b
(fma (/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (- a z))) t x)
0.5b
(cbrt (- a z))
0.5b
(cbrt (- a z))
0.5b
(cbrt (- a z))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
13×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
6×cbrt-div
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×flip3-- pow1/3 flip-- distribute-lft-out-- difference-of-squares
1×fma-udef
Counts
4 → 61
Calls
4 calls:
1.0ms
(fma (/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (- a z))) t x)
9.0ms
(cbrt (- a z))
10.0ms
(cbrt (- a z))
9.0ms
(cbrt (- a z))

series1.0s

Counts
4 → 12
Calls
4 calls:
132.0ms
(fma (/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (- a z))) t x)
330.0ms
(cbrt (- a z))
288.0ms
(cbrt (- a z))
284.0ms
(cbrt (- a z))

simplify1.2s

Counts
73 → 73
Iterations

Useful iterations: done (1.2s)

IterNodesCost
093891
1193873
2479719
31515650
done5001614

prune426.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes305.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0910
done910

end0.0ms

sample1.3s

Algorithm
intervals
Results
557.0ms8742×body80valid
0.0ms1×body160valid