Details

Time bar (total: 25.0s)

sample131.0ms

Algorithm
intervals
Results
51.0ms722×body80nan
19.0ms256×body80valid

simplify1.0s

Counts
1 → 1
Iterations

Useful iterations: 4 (97.0ms)

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
23×add-sqr-sqrt
21×prod-diff
19×add-cube-cbrt
8×pow1
7×fma-neg
6×add-log-exp
5×log-pow
4×associate--l+
3×add-exp-log expm1-log1p-u log-prod add-cbrt-cube log1p-expm1-u distribute-lft-out--
2×sub-neg flip3-- diff-log flip-- fma-udef difference-of-squares
Counts
3 → 75
Calls
3 calls:
12.0ms
(- (log t) z)
13.0ms
(- (fma x (log y) (- (log t) z)) y)
1.0ms
(fma x (log y) (- (log t) z))

series262.0ms

Counts
3 → 9
Calls
3 calls:
78.0ms
(- (log t) z)
89.0ms
(- (fma x (log y) (- (log t) z)) y)
95.0ms
(fma x (log y) (- (log t) z))

simplify2.3s

Counts
84 → 84
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
01571257
13301037
2729872
33067756
done5000756

prune325.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (pow (cbrt (fma x (log y) (- (log t) z))) 3) y)
0.1b
(fma x (log y) (- (log t) z))
0.5b
(cbrt (fma x (log y) (- (log t) z)))
0.7b
(pow (cbrt (fma x (log y) (- (log t) z))) 3)

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
59×add-sqr-sqrt
54×prod-diff
50×*-un-lft-identity
48×add-cube-cbrt
35×cbrt-prod
32×unpow-prod-down cube-prod
18×fma-neg
6×add-log-exp difference-of-squares sqr-pow
5×pow1 add-exp-log cube-mult unpow3
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u
3×pow-unpow
2×pow-pow pow1/3
1×pow-to-exp sub-neg flip3-- diff-log pow-exp flip-- fma-udef distribute-lft-out-- rem-cube-cbrt
Counts
4 → 148
Calls
4 calls:
40.0ms
(- (pow (cbrt (fma x (log y) (- (log t) z))) 3) y)
0.0ms
(fma x (log y) (- (log t) z))
1.0ms
(cbrt (fma x (log y) (- (log t) z)))
4.0ms
(pow (cbrt (fma x (log y) (- (log t) z))) 3)

series1.2s

Counts
4 → 12
Calls
4 calls:
84.0ms
(- (pow (cbrt (fma x (log y) (- (log t) z))) 3) y)
110.0ms
(fma x (log y) (- (log t) z))
587.0ms
(cbrt (fma x (log y) (- (log t) z)))
460.0ms
(pow (cbrt (fma x (log y) (- (log t) z))) 3)

simplify1.4s

Counts
160 → 160
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02474273
16512765
220312226
done50002188

prune589.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma x (log y) (- (log t) z)))
0.5b
(cbrt (fma x (log y) (- (log t) z)))
0.5b
(pow (cbrt (fma x (log y) (- (log t) z))) 2)
0.7b
(pow (cbrt (* (pow (cbrt (fma x (log y) (- (log t) z))) 2) (cbrt (fma x (log y) (- (log t) z))))) 3)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
11×cbrt-prod
10×unpow-prod-down
6×pow1 add-exp-log pow-unpow
4×expm1-log1p-u pow-pow pow1/3 cube-prod add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-to-exp pow-exp sqr-pow
1×cube-mult unpow3 unpow2 rem-cube-cbrt
Counts
4 → 78
Calls
4 calls:
2.0ms
(cbrt (fma x (log y) (- (log t) z)))
2.0ms
(cbrt (fma x (log y) (- (log t) z)))
7.0ms
(pow (cbrt (fma x (log y) (- (log t) z))) 2)
11.0ms
(pow (cbrt (* (pow (cbrt (fma x (log y) (- (log t) z))) 2) (cbrt (fma x (log y) (- (log t) z))))) 3)

series2.3s

Counts
4 → 12
Calls
4 calls:
585.0ms
(cbrt (fma x (log y) (- (log t) z)))
536.0ms
(cbrt (fma x (log y) (- (log t) z)))
715.0ms
(pow (cbrt (fma x (log y) (- (log t) z))) 2)
428.0ms
(pow (cbrt (* (pow (cbrt (fma x (log y) (- (log t) z))) 2) (cbrt (fma x (log y) (- (log t) z))))) 3)

simplify1.4s

Counts
90 → 90
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02192765
16482125
223421881
done50001837

prune596.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (cbrt (fma x (log y) (- (log t) z))))
0.5b
(* (cbrt (fma x (log y) (- (log t) z))) (cbrt (fma x (log y) (- (log t) z))))
0.7b
(pow (cbrt (cbrt (fma x (log y) (- (log t) z)))) 3)
0.7b
(pow (cbrt (* (cbrt (fma x (log y) (- (log t) z))) (cbrt (fma x (log y) (- (log t) z))))) 3)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
45×cbrt-prod
32×add-sqr-sqrt
24×add-cube-cbrt *-un-lft-identity
13×pow1 unpow-prod-down cube-prod
9×pow1/3
8×add-exp-log
6×pow-unpow swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u pow-pow add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×cube-mult pow-to-exp unpow3 pow-prod-down pow-exp pow-sqr pow-prod-up rem-cube-cbrt sqr-pow
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 124
Calls
4 calls:
3.0ms
(cbrt (cbrt (fma x (log y) (- (log t) z))))
18.0ms
(* (cbrt (fma x (log y) (- (log t) z))) (cbrt (fma x (log y) (- (log t) z))))
5.0ms
(pow (cbrt (cbrt (fma x (log y) (- (log t) z)))) 3)
5.0ms
(pow (cbrt (* (cbrt (fma x (log y) (- (log t) z))) (cbrt (fma x (log y) (- (log t) z))))) 3)

series3.1s

Counts
4 → 12
Calls
4 calls:
629.0ms
(cbrt (cbrt (fma x (log y) (- (log t) z))))
553.0ms
(* (cbrt (fma x (log y) (- (log t) z))) (cbrt (fma x (log y) (- (log t) z))))
865.0ms
(pow (cbrt (cbrt (fma x (log y) (- (log t) z)))) 3)
1.1s
(pow (cbrt (* (cbrt (fma x (log y) (- (log t) z))) (cbrt (fma x (log y) (- (log t) z))))) 3)

simplify2.9s

Counts
136 → 136
Iterations

Useful iterations: done (2.9s)

IterNodesCost
03194235
19823351
243722972
done50002964

prune976.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes427.0ms

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

sample5.8s

Algorithm
intervals
Results
2.9s24082×body80nan
826.0ms8029×body80valid