Details

Time bar (total: 29.0s)

sample175.0ms

Algorithm
intervals
Results
63.0ms789×body80nan
25.0ms259×body80valid

simplify3.3s

Counts
1 → 1
Iterations

Useful iterations: 4 (162.0ms)

IterNodesCost
01011
12111
25211
313211
453310
5230010
done500110

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 3 expressions with local error:

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

rewrite51.0ms

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:
15.0ms
(- (fma x (log y) (- (log t) z)) y)
30.0ms
(- (log t) z)
1.0ms
(fma x (log y) (- (log t) z))

series354.0ms

Counts
3 → 9
Calls
3 calls:
106.0ms
(- (fma x (log y) (- (log t) z)) y)
112.0ms
(- (log t) z)
136.0ms
(fma x (log y) (- (log t) z))

simplify1.0s

Counts
84 → 84
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01571257
13581044
21067872
done5000784

prune663.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize56.0ms

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)))

rewrite51.0ms

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:
40.0ms
(* (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)))

series3.0s

Counts
4 → 12
Calls
4 calls:
817.0ms
(* (cbrt (fma x (log y) (- (log t) z))) (cbrt (fma x (log y) (- (log t) z))))
732.0ms
(cbrt (fma x (log y) (- (log t) z)))
724.0ms
(cbrt (fma x (log y) (- (log t) z)))
745.0ms
(cbrt (fma x (log y) (- (log t) z)))

simplify2.0s

Counts
93 → 93
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01812817
15512636
227562429
done50012250

prune1.0s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (log t) z)
0.1b
(fma x (log y) (- (log t) z))
0.6b
(cbrt (fma x (log y) (- (log t) z)))
0.7b
(pow (cbrt (fma x (log y) (- (log t) z))) 3)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
21×add-sqr-sqrt
19×add-cube-cbrt
12×prod-diff
10×pow1
9×cbrt-prod
6×unpow-prod-down cube-prod
5×add-exp-log log-pow add-log-exp
4×expm1-log1p-u fma-neg add-cbrt-cube log1p-expm1-u
3×pow-unpow log-prod associate--l+
2×pow-pow pow1/3 distribute-lft-out--
1×cube-mult pow-to-exp sub-neg flip3-- diff-log unpow3 pow-exp flip-- fma-udef rem-cube-cbrt difference-of-squares sqr-pow
Counts
4 → 91
Calls
4 calls:
20.0ms
(- (log t) z)
1.0ms
(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))) 3)

series1.3s

Counts
4 → 12
Calls
4 calls:
106.0ms
(- (log t) z)
107.0ms
(fma x (log y) (- (log t) z))
640.0ms
(cbrt (fma x (log y) (- (log t) z)))
489.0ms
(pow (cbrt (fma x (log y) (- (log t) z))) 3)

simplify2.1s

Counts
103 → 103
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02201814
16461536
229661309
done50001280

prune768.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize79.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* (pow (cbrt (fma x (log y) (- (log t) z))) 2) (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)))
0.7b
(pow (cbrt (* (pow (cbrt (fma x (log y) (- (log t) z))) 2) (cbrt (fma x (log y) (- (log t) z))))) 3)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×pow1 add-exp-log
4×expm1-log1p-u unpow-prod-down pow1/3 cube-prod add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-unpow
2×pow-pow
1×cube-mult pow-to-exp unpow3 pow3 pow-exp rem-cbrt-cube unpow2 rem-cube-cbrt sqr-pow
Counts
4 → 66
Calls
4 calls:
12.0ms
(cbrt (* (pow (cbrt (fma x (log y) (- (log t) z))) 2) (cbrt (fma x (log y) (- (log t) z)))))
1.0ms
(cbrt (fma x (log y) (- (log t) z)))
2.0ms
(cbrt (fma x (log y) (- (log t) z)))
9.0ms
(pow (cbrt (* (pow (cbrt (fma x (log y) (- (log t) z))) 2) (cbrt (fma x (log y) (- (log t) z))))) 3)

series2.7s

Counts
4 → 12
Calls
4 calls:
666.0ms
(cbrt (* (pow (cbrt (fma x (log y) (- (log t) z))) 2) (cbrt (fma x (log y) (- (log t) z)))))
778.0ms
(cbrt (fma x (log y) (- (log t) z)))
709.0ms
(cbrt (fma x (log y) (- (log t) z)))
504.0ms
(pow (cbrt (* (pow (cbrt (fma x (log y) (- (log t) z))) 2) (cbrt (fma x (log y) (- (log t) z))))) 3)

simplify2.6s

Counts
78 → 78
Iterations

Useful iterations: done (2.6s)

IterNodesCost
01572663
14801960
224961698
done50011627

prune898.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes575.0ms

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

sample6.1s

Algorithm
intervals
Results
2.9s24225×body80nan
955.0ms8037×body80valid
1.0ms1×body1280valid
0.0ms1×body640valid