Details

Time bar (total: 12.8s)

sample42.0ms

Algorithm
intervals
Results
20.0ms309×body80valid

simplify67.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1117
2247
3527
4817
5877
done877

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.9b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (* y z))
3.7b
(* x (- 1.0 (* y z)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×prod-diff
8×add-cube-cbrt *-un-lft-identity
5×distribute-rgt-in distribute-lft-in
4×pow1 add-exp-log add-cbrt-cube add-log-exp
3×sub-neg fma-neg associate-*r* associate-*l*
2×expm1-log1p-u flip3-- associate-*r/ flip-- log1p-expm1-u
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 52
Calls
2 calls:
10.0ms
(- 1.0 (* y z))
18.0ms
(* x (- 1.0 (* y z)))

series82.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(- 1.0 (* y z))
57.0ms
(* x (- 1.0 (* y z)))

simplify1.3s

Counts
58 → 58
Iterations

Useful iterations: done (1.3s)

IterNodesCost
081610
1176601
2457528
31527516
done5001462

prune133.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.7b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))
3.8b
(cbrt (- 1.0 (* y z)))
3.8b
(cbrt (- 1.0 (* y z)))
3.8b
(cbrt (- 1.0 (* y z)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
29.0ms
(* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))
7.0ms
(cbrt (- 1.0 (* y z)))
3.0ms
(cbrt (- 1.0 (* y z)))
3.0ms
(cbrt (- 1.0 (* y z)))

series1.2s

Counts
4 → 12
Calls
4 calls:
315.0ms
(* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))
291.0ms
(cbrt (- 1.0 (* y z)))
310.0ms
(cbrt (- 1.0 (* y z)))
308.0ms
(cbrt (- 1.0 (* y z)))

simplify2.2s

Counts
107 → 107
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01522108
13701928
211941787
344341474
done50001473

prune335.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.7b

localize25.0ms

Local error

Found 4 expressions with local error:

3.8b
(cbrt (- 1.0 (* y z)))
3.8b
(cbrt (- 1.0 (* y z)))
3.9b
(cbrt (fma y z 1.0))
11.1b
(cbrt (* (- 1.0 (* y z)) (fma y z 1.0)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-div
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×flip3-- flip--
2×associate-*l/
Counts
4 → 56
Calls
4 calls:
3.0ms
(cbrt (- 1.0 (* y z)))
3.0ms
(cbrt (- 1.0 (* y z)))
1.0ms
(cbrt (fma y z 1.0))
7.0ms
(cbrt (* (- 1.0 (* y z)) (fma y z 1.0)))

series824.0ms

Counts
4 → 12
Calls
4 calls:
241.0ms
(cbrt (- 1.0 (* y z)))
242.0ms
(cbrt (- 1.0 (* y z)))
207.0ms
(cbrt (fma y z 1.0))
135.0ms
(cbrt (* (- 1.0 (* y z)) (fma y z 1.0)))

simplify1.9s

Counts
68 → 68
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01411148
13451079
210791008
34383843
done5000841

prune335.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 3.7b

localize36.0ms

Local error

Found 4 expressions with local error:

3.9b
(cbrt (fma y z 1.0))
6.5b
(/ (* (cbrt (* (- 1.0 (* y z)) (fma y z 1.0))) (cbrt (* (- 1.0 (* y z)) (fma y z 1.0)))) (* (cbrt (fma y z 1.0)) (cbrt (fma y z 1.0))))
11.1b
(cbrt (* (- 1.0 (* y z)) (fma y z 1.0)))
11.1b
(cbrt (* (- 1.0 (* y z)) (fma y z 1.0)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
18×associate-*l/
16×add-exp-log cbrt-div
8×flip3-- add-cbrt-cube flip-- associate-/l/
5×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 cbrt-undiv expm1-log1p-u frac-times div-exp prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×pow1/3
2×associate-*r/
1×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
Counts
4 → 70
Calls
4 calls:
1.0ms
(cbrt (fma y z 1.0))
32.0ms
(/ (* (cbrt (* (- 1.0 (* y z)) (fma y z 1.0))) (cbrt (* (- 1.0 (* y z)) (fma y z 1.0)))) (* (cbrt (fma y z 1.0)) (cbrt (fma y z 1.0))))
8.0ms
(cbrt (* (- 1.0 (* y z)) (fma y z 1.0)))
7.0ms
(cbrt (* (- 1.0 (* y z)) (fma y z 1.0)))

series956.0ms

Counts
4 → 12
Calls
4 calls:
289.0ms
(cbrt (fma y z 1.0))
324.0ms
(/ (* (cbrt (* (- 1.0 (* y z)) (fma y z 1.0))) (cbrt (* (- 1.0 (* y z)) (fma y z 1.0)))) (* (cbrt (fma y z 1.0)) (cbrt (fma y z 1.0))))
175.0ms
(cbrt (* (- 1.0 (* y z)) (fma y z 1.0)))
169.0ms
(cbrt (* (- 1.0 (* y z)) (fma y z 1.0)))

simplify1.1s

Counts
82 → 82
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01742181
14852000
217681619
done50001461

prune573.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 3.7b

regimes632.0ms

Accuracy

0% (0.1b remaining)

Error of 3.1b against oracle of 3.0b and baseline of 3.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
197
done97

end0.0ms

sample847.0ms

Algorithm
intervals
Results
406.0ms9596×body80valid