Details

Time bar (total: 15.7s)

sample130.0ms

Algorithm
intervals
Results
41.0ms684×body80nan
25.0ms257×body80valid

simplify2.0s

Counts
1 → 1
Iterations

Useful iterations: 4 (110.0ms)

IterNodesCost
01011
12111
25211
313211
453310
5230010
done500110

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma x (log y) (- (log t) z))

series87.0ms

Counts
1 → 3
Calls
1 calls:
87.0ms
(fma x (log y) (- (log t) z))

simplify875.0ms

Counts
13 → 13
Iterations

Useful iterations: done (874.0ms)

IterNodesCost
041156
180152
2220132
31010131
done5002125

prune81.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 1 expressions with local error:

0.4b
(* x (log y))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×log-prod
5×add-cube-cbrt *-un-lft-identity
4×pow1 associate-*r*
3×add-exp-log distribute-rgt-in distribute-lft-in associate-*l* add-cbrt-cube
1×expm1-log1p-u pow-prod-down prod-exp log-pow *-commutative cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 27
Calls
1 calls:
16.0ms
(* x (log y))

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(* x (log y))

simplify972.0ms

Counts
30 → 30
Iterations

Useful iterations: 3 (313.0ms)

IterNodesCost
059213
1113204
2296182
31311173
done5001173

prune93.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (log (cbrt y)))
0.3b
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
48×log-prod
36×distribute-rgt-in distribute-lft-in
30×cbrt-prod
26×add-sqr-sqrt
24×add-cube-cbrt associate-+l+ *-un-lft-identity
12×associate-+r+
7×pow1
6×add-exp-log add-cbrt-cube add-log-exp
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u
3×pow1/3 associate-*l*
2×log-pow
1×+-commutative fma-def flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 111
Calls
4 calls:
18.0ms
(* x (log (cbrt y)))
36.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series845.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(* x (log (cbrt y)))
120.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
299.0ms
(cbrt y)
309.0ms
(cbrt y)

simplify1.5s

Counts
123 → 123
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01631298
14641159
22024920
done5001862

prune622.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt (cbrt y))
5.9b
(pow y 2/3)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×pow1 add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×unpow-prod-down pow-unpow pow1/3
1×pow-to-exp pow-pow pow-exp sqr-pow
Counts
4 → 61
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt (cbrt y))
3.0ms
(pow y 2/3)

series1.1s

Counts
4 → 12
Calls
4 calls:
280.0ms
(cbrt y)
211.0ms
(cbrt y)
349.0ms
(cbrt (cbrt y))
226.0ms
(pow y 2/3)

simplify1.8s

Counts
73 → 73
Iterations

Useful iterations: done (1.8s)

IterNodesCost
081384
1177343
2595316
32517302
done5000298

prune533.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes158.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02329
13029
done3029

end0.0ms

sample4.7s

Algorithm
intervals
Results
2.2s24301×body80nan
664.0ms8040×body80valid
1.0ms1×body1280valid