Details

Time bar (total: 22.0s)

sample169.0ms

Algorithm
intervals
Results
70.0ms890×body80nan
21.0ms256×body80valid

simplify2.5s

Counts
1 → 1
Iterations

Useful iterations: 4 (471.0ms)

IterNodesCost
01011
12111
25211
313211
453310
5230010
done500110

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

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:
17.0ms
(- (log t) z)
1.0ms
(fma x (log y) (- (log t) z))

series194.0ms

Counts
2 → 6
Calls
2 calls:
80.0ms
(- (log t) z)
113.0ms
(fma x (log y) (- (log t) z))

simplify1.7s

Counts
52 → 52
Iterations

Useful iterations: 3 (592.0ms)

IterNodesCost
0102615
1220503
2602405
32900366
done5001366

prune174.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

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)))

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)))

series2.2s

Counts
4 → 12
Calls
4 calls:
632.0ms
(* (cbrt (fma x (log y) (- (log t) z))) (cbrt (fma x (log y) (- (log t) z))))
530.0ms
(cbrt (fma x (log y) (- (log t) z)))
499.0ms
(cbrt (fma x (log y) (- (log t) z)))
547.0ms
(cbrt (fma x (log y) (- (log t) z)))

simplify1.5s

Counts
93 → 93
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01812817
15512636
227562429
done50012250

prune544.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize45.0ms

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)))
0.9b
(pow (cbrt (cbrt (fma x (log y) (- (log t) z)))) (+ 3 1))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
13×*-un-lft-identity
11×add-sqr-sqrt add-cube-cbrt
9×unpow-prod-down
5×pow1 add-exp-log
4×expm1-log1p-u pow-unpow pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-pow
1×unpow-prod-up pow-to-exp pow-exp distribute-lft-out sqr-pow
Counts
4 → 67
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)))
11.0ms
(pow (cbrt (cbrt (fma x (log y) (- (log t) z)))) (+ 3 1))

series2.6s

Counts
4 → 12
Calls
4 calls:
635.0ms
(cbrt (fma x (log y) (- (log t) z)))
612.0ms
(cbrt (fma x (log y) (- (log t) z)))
550.0ms
(cbrt (fma x (log y) (- (log t) z)))
847.0ms
(pow (cbrt (cbrt (fma x (log y) (- (log t) z)))) (+ 3 1))

simplify1.6s

Counts
79 → 79
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01962419
16252235
229202021
done50011965

prune719.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize61.0ms

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)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
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)))
2.0ms
(cbrt (fma x (log y) (- (log t) z)))

series2.1s

Counts
4 → 12
Calls
4 calls:
522.0ms
(cbrt (fma x (log y) (- (log t) z)))
516.0ms
(cbrt (fma x (log y) (- (log t) z)))
470.0ms
(cbrt (fma x (log y) (- (log t) z)))
564.0ms
(cbrt (fma x (log y) (- (log t) z)))

simplify604.0ms

Counts
64 → 64
Iterations

Useful iterations: done (601.0ms)

IterNodesCost
01031972
12841896
212551744
done50011680

prune414.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes248.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0910
done910

end0.0ms

sample4.5s

Algorithm
intervals
Results
1.8s23931×body80nan
1.0s8029×body80valid
1.0ms2×body320valid