Details

Time bar (total: 20.3s)

sample136.0ms

Algorithm
intervals
Results
49.0ms778×body80nan
20.0ms258×body80valid

simplify1.8s

Counts
1 → 1
Iterations

Useful iterations: 4 (92.0ms)

IterNodesCost
01011
12111
25211
313211
453310
5230010
done500110

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (log t) z)
0.1b
(fma x (log y) (- (log t) z))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
13×add-sqr-sqrt
12×prod-diff
11×add-cube-cbrt
pow1
log-pow
fma-neg
log-prod associate--l+ add-log-exp
add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u distribute-lft-out--
sub-neg flip3-- diff-log flip-- fma-udef difference-of-squares
Counts
2 → 46
Calls
2 calls:
22.0ms
(- (log t) z)
1.0ms
(fma x (log y) (- (log t) z))

series173.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(- (log t) z)
96.0ms
(fma x (log y) (- (log t) z))

simplify1.5s

Counts
52 → 52
Iterations

Useful iterations: 3 (477.0ms)

IterNodesCost
0102615
1220503
2602405
32900366
done5001366

prune140.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
18.0ms
(* (cbrt (fma x (log y) (- (log t) z))) (cbrt (fma x (log y) (- (log t) z))))
2.0ms
(cbrt (fma x (log y) (- (log t) z)))
2.0ms
(cbrt (fma x (log y) (- (log t) z)))
2.0ms
(cbrt (fma x (log y) (- (log t) z)))

series2.2s

Counts
4 → 12
Calls
4 calls:
551.0ms
(* (cbrt (fma x (log y) (- (log t) z))) (cbrt (fma x (log y) (- (log t) z))))
560.0ms
(cbrt (fma x (log y) (- (log t) z)))
512.0ms
(cbrt (fma x (log y) (- (log t) z)))
570.0ms
(cbrt (fma x (log y) (- (log t) z)))

simplify1.2s

Counts
93 → 93
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01812817
15512636
227562429
done50012250

prune505.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma x (log y) (- (log t) z)))
0.6b
(cbrt (fma x (log y) (- (log t) z)))
0.6b
(cbrt (fma x (log y) (- (log t) z)))
0.6b
(cbrt (fma x (log y) (- (log t) z)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
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 x (log y) (- (log t) z)))
1.0ms
(cbrt (fma x (log y) (- (log t) z)))
1.0ms
(cbrt (fma x (log y) (- (log t) z)))
1.0ms
(cbrt (fma x (log y) (- (log t) z)))

series2.0s

Counts
4 → 12
Calls
4 calls:
468.0ms
(cbrt (fma x (log y) (- (log t) z)))
544.0ms
(cbrt (fma x (log y) (- (log t) z)))
514.0ms
(cbrt (fma x (log y) (- (log t) z)))
517.0ms
(cbrt (fma x (log y) (- (log t) z)))

simplify634.0ms

Counts
64 → 64
Iterations

Useful iterations: done (630.0ms)

IterNodesCost
01031972
12841896
212551744
done50011680

prune602.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.1b

localize57.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (sqrt (fma x (log y) (- (log t) z))))
0.3b
(cbrt (sqrt (fma x (log y) (- (log t) z))))
0.6b
(cbrt (fma x (log y) (- (log t) z)))
0.6b
(cbrt (fma x (log y) (- (log t) z)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
sqrt-prod
pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 58
Calls
4 calls:
3.0ms
(cbrt (sqrt (fma x (log y) (- (log t) z))))
3.0ms
(cbrt (sqrt (fma x (log y) (- (log t) z))))
2.0ms
(cbrt (fma x (log y) (- (log t) z)))
2.0ms
(cbrt (fma x (log y) (- (log t) z)))

series2.2s

Counts
4 → 12
Calls
4 calls:
603.0ms
(cbrt (sqrt (fma x (log y) (- (log t) z))))
469.0ms
(cbrt (sqrt (fma x (log y) (- (log t) z))))
534.0ms
(cbrt (fma x (log y) (- (log t) z)))
574.0ms
(cbrt (fma x (log y) (- (log t) z)))

simplify1.1s

Counts
70 → 70
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01662142
14702052
221631892
done50011848

prune762.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.1b

regimes258.0ms

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
0910
done910

end0.0ms

sample4.9s

Algorithm
intervals
Results
2.2s24107×body80nan
799.0ms8030×body80valid