Details

Time bar (total: 19.4s)

sample102.0ms

Algorithm
intervals
Results
32.0ms946×body80nan
15.0ms257×body80valid

simplify1.2s

Counts
1 → 1
Iterations

Useful iterations: 4 (88.0ms)

IterNodesCost
01011
12111
25211
312611
422310
529710
641410
750410
858710
959410
done59410

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
13×add-sqr-sqrt
12×prod-diff
11×add-cube-cbrt
7×pow1
5×log-pow
4×fma-neg
3×log-prod associate--l+ add-log-exp
2×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u distribute-lft-out--
1×sub-neg flip3-- diff-log flip-- fma-udef difference-of-squares
Counts
2 → 46
Calls
2 calls:
10.0ms
(- (log t) z)
0.0ms
(fma x (log y) (- (log t) z))

series192.0ms

Counts
2 → 6
Calls
2 calls:
94.0ms
(- (log t) z)
98.0ms
(fma x (log y) (- (log t) z))

simplify1.8s

Counts
52 → 52
Iterations

Useful iterations: done (1.8s)

IterNodesCost
0102615
1205499
2426405
31637362
done5000329

prune178.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize15.0ms

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

rewrite16.0ms

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:
11.0ms
(* (cbrt (fma x (log y) (- (log t) z))) (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)))

series2.3s

Counts
4 → 12
Calls
4 calls:
686.0ms
(* (cbrt (fma x (log y) (- (log t) z))) (cbrt (fma x (log y) (- (log t) z))))
521.0ms
(cbrt (fma x (log y) (- (log t) z)))
604.0ms
(cbrt (fma x (log y) (- (log t) z)))
534.0ms
(cbrt (fma x (log y) (- (log t) z)))

simplify979.0ms

Counts
93 → 93
Iterations

Useful iterations: done (974.0ms)

IterNodesCost
01812817
15132636
218822425
done50012163

prune489.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
81×cbrt-prod
40×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3 swap-sqr associate-*r* associate-*l* unswap-sqr
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 104
Calls
4 calls:
3.0ms
(cbrt (cbrt (fma x (log y) (- (log t) z))))
3.0ms
(cbrt (cbrt (fma x (log y) (- (log t) z))))
3.0ms
(cbrt (cbrt (fma x (log y) (- (log t) z))))
17.0ms
(* (cbrt (cbrt (fma x (log y) (- (log t) z)))) (cbrt (cbrt (fma x (log y) (- (log t) z)))))

series2.3s

Counts
4 → 12
Calls
4 calls:
596.0ms
(cbrt (cbrt (fma x (log y) (- (log t) z))))
532.0ms
(cbrt (cbrt (fma x (log y) (- (log t) z))))
527.0ms
(cbrt (cbrt (fma x (log y) (- (log t) z))))
622.0ms
(* (cbrt (cbrt (fma x (log y) (- (log t) z)))) (cbrt (cbrt (fma x (log y) (- (log t) z)))))

simplify954.0ms

Counts
116 → 116
Iterations

Useful iterations: done (950.0ms)

IterNodesCost
02063675
15503479
219533284
done50012985

prune752.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
81×cbrt-prod
40×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3 swap-sqr associate-*r* associate-*l* unswap-sqr
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 104
Calls
4 calls:
3.0ms
(cbrt (cbrt (fma x (log y) (- (log t) z))))
1.0ms
(cbrt (cbrt (fma x (log y) (- (log t) z))))
1.0ms
(cbrt (cbrt (fma x (log y) (- (log t) z))))
19.0ms
(* (cbrt (cbrt (fma x (log y) (- (log t) z)))) (cbrt (cbrt (fma x (log y) (- (log t) z)))))

series2.4s

Counts
4 → 12
Calls
4 calls:
556.0ms
(cbrt (cbrt (fma x (log y) (- (log t) z))))
569.0ms
(cbrt (cbrt (fma x (log y) (- (log t) z))))
606.0ms
(cbrt (cbrt (fma x (log y) (- (log t) z))))
635.0ms
(* (cbrt (cbrt (fma x (log y) (- (log t) z)))) (cbrt (cbrt (fma x (log y) (- (log t) z)))))

simplify1.1s

Counts
116 → 116
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02063675
15503479
219533284
done50012985

prune681.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes348.0ms

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

sample3.4s

Algorithm
intervals
Results
1.2s23839×body80nan
493.0ms8031×body80valid
0.0ms1×body640valid