Details

Time bar (total: 24.1s)

sample33.0ms

Algorithm
intervals
Results
9.0ms257×body80valid
8.0ms237×body80nan
0.0ms1×body320valid

simplify10.0s

Counts
1 → 1
Iterations

Useful iterations: 4 (49.0ms)

IterNodesCost
01012
12112
26212
318312
457011
5134411
6202511
7311811
8348811
9382611
10476611
done500111

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (- (fma (log y) (+ y 0.5) z) y))
0.1b
(- (fma (log y) (+ y 0.5) z) y)
0.1b
(fma (log y) (+ y 0.5) z)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
35×add-sqr-sqrt
33×prod-diff
25×add-cube-cbrt
12×associate--r+
10×add-log-exp
7×distribute-lft-out--
6×fma-neg
5×difference-of-squares
4×diff-log
3×pow1 add-exp-log expm1-log1p-u sub-neg add-cbrt-cube fma-udef log1p-expm1-u
2×flip3-- associate--l+ flip--
1×associate--r-
Counts
3 → 88
Calls
3 calls:
11.0ms
(- x (- (fma (log y) (+ y 0.5) z) y))
3.0ms
(- (fma (log y) (+ y 0.5) z) y)
0.0ms
(fma (log y) (+ y 0.5) z)

series127.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(- x (- (fma (log y) (+ y 0.5) z) y))
45.0ms
(- (fma (log y) (+ y 0.5) z) y)
37.0ms
(fma (log y) (+ y 0.5) z)

simplify636.0ms

Counts
97 → 97
Iterations

Useful iterations: done (633.0ms)

IterNodesCost
01702426
14161917
214561572
done50011571

prune238.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (log y) (+ y 0.5) z))
0.5b
(cbrt (fma (log y) (+ y 0.5) z))
0.5b
(cbrt (fma (log y) (+ y 0.5) z))
0.5b
(* (cbrt (fma (log y) (+ y 0.5) z)) (cbrt (fma (log y) (+ y 0.5) z)))

rewrite10.0ms

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:
0.0ms
(cbrt (fma (log y) (+ y 0.5) z))
0.0ms
(cbrt (fma (log y) (+ y 0.5) z))
1.0ms
(cbrt (fma (log y) (+ y 0.5) z))
6.0ms
(* (cbrt (fma (log y) (+ y 0.5) z)) (cbrt (fma (log y) (+ y 0.5) z)))

series1.6s

Counts
4 → 12
Calls
4 calls:
263.0ms
(cbrt (fma (log y) (+ y 0.5) z))
263.0ms
(cbrt (fma (log y) (+ y 0.5) z))
256.0ms
(cbrt (fma (log y) (+ y 0.5) z))
835.0ms
(* (cbrt (fma (log y) (+ y 0.5) z)) (cbrt (fma (log y) (+ y 0.5) z)))

simplify786.0ms

Counts
93 → 93
Iterations

Useful iterations: 2 (226.0ms)

IterNodesCost
02042843
16082681
227912509
done50002509

prune396.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (log y) (+ y 0.5) z))
0.5b
(cbrt (fma (log y) (+ y 0.5) z))
0.5b
(* (cbrt (pow (cbrt (fma (log y) (+ y 0.5) z)) 3)) (cbrt (fma (log y) (+ y 0.5) z)))
0.8b
(pow (cbrt (fma (log y) (+ y 0.5) z)) 3)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
64×cbrt-prod
45×add-sqr-sqrt
21×associate-*l*
20×add-cube-cbrt
19×*-un-lft-identity
16×unpow-prod-down cube-prod
14×unswap-sqr
7×pow1 add-exp-log
6×associate-*r*
5×pow1/3
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp sqr-pow
3×pow-unpow unpow3
2×cube-mult pow-pow pow-prod-down
1×pow-to-exp swap-sqr pow-exp prod-exp *-commutative cbrt-unprod rem-cube-cbrt
Counts
4 → 114
Calls
4 calls:
0.0ms
(cbrt (fma (log y) (+ y 0.5) z))
0.0ms
(cbrt (fma (log y) (+ y 0.5) z))
17.0ms
(* (cbrt (pow (cbrt (fma (log y) (+ y 0.5) z)) 3)) (cbrt (fma (log y) (+ y 0.5) z)))
2.0ms
(pow (cbrt (fma (log y) (+ y 0.5) z)) 3)

series1.8s

Counts
4 → 12
Calls
4 calls:
262.0ms
(cbrt (fma (log y) (+ y 0.5) z))
269.0ms
(cbrt (fma (log y) (+ y 0.5) z))
845.0ms
(* (cbrt (pow (cbrt (fma (log y) (+ y 0.5) z)) 3)) (cbrt (fma (log y) (+ y 0.5) z)))
438.0ms
(pow (cbrt (fma (log y) (+ y 0.5) z)) 3)

simplify1.4s

Counts
126 → 126
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02643728
17903276
236922766
done50002763

prune460.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
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 → 109
Calls
4 calls:
21.0ms
(* (cbrt (- (fma (log y) (+ y 0.5) z) y)) (cbrt (- (fma (log y) (+ y 0.5) z) y)))
3.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))
2.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))
3.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))

series3.6s

Counts
4 → 12
Calls
4 calls:
2.7s
(* (cbrt (- (fma (log y) (+ y 0.5) z) y)) (cbrt (- (fma (log y) (+ y 0.5) z) y)))
305.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))
307.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))
307.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))

simplify1.3s

Counts
121 → 121
Iterations

Useful iterations: 2 (358.0ms)

IterNodesCost
03054988
19584727
246644478
done50004478

prune474.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes130.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01533
11733
done1733

end0.0ms

sample861.0ms

Algorithm
intervals
Results
289.0ms8024×body80valid
211.0ms7949×body80nan
0.0ms2×body640valid
0.0ms1×body320valid