Details

Time bar (total: 6.4m)

sample329.0ms

Algorithm
intervals
Results
133.0ms872×body80nan
40.0ms289×body80valid

simplify2.0s

Counts
1 → 1
Iterations
IterNodes
done5000
41866
3453
2109
139
020

prune31.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize49.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (fma i y (+ t z)) (fma (- b 0.5) (log c) (fma (log y) x a)))
0.1b
(fma (- b 0.5) (log c) (fma (log y) x a))
0.1b
(fma (log y) x a)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
6×*-un-lft-identity
5×add-log-exp
4×add-sqr-sqrt add-cube-cbrt fma-udef
3×expm1-log1p-u pow1 fma-def add-cbrt-cube add-exp-log log1p-expm1-u
1×+-commutative associate-+l+ associate-+r+ sum-log flip3-+ flip-+ distribute-lft-out
Counts
3 → 39
Calls
3 calls:
8.0ms
(+ (fma i y (+ t z)) (fma (- b 0.5) (log c) (fma (log y) x a)))
0.0ms
(fma (- b 0.5) (log c) (fma (log y) x a))
1.0ms
(fma (log y) x a)

series1.1s

Counts
3 → 9
Calls
3 calls:
797.0ms
(+ (fma i y (+ t z)) (fma (- b 0.5) (log c) (fma (log y) x a)))
166.0ms
(fma (- b 0.5) (log c) (fma (log y) x a))
131.0ms
(fma (log y) x a)

simplify1.9s

Counts
48 → 48
Iterations
IterNodes
done5000
33885
2624
1218
098

prune571.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (log c) (- b 0.5) (fma x (log y) a))) (cbrt (fma (log c) (- b 0.5) (fma x (log y) a))))
0.6b
(cbrt (fma (log c) (- b 0.5) (fma x (log y) a)))
0.6b
(cbrt (fma (log c) (- b 0.5) (fma x (log y) a)))
0.6b
(cbrt (fma (log c) (- b 0.5) (fma x (log y) a)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
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:
16.0ms
(* (cbrt (fma (log c) (- b 0.5) (fma x (log y) a))) (cbrt (fma (log c) (- b 0.5) (fma x (log y) a))))
1.0ms
(cbrt (fma (log c) (- b 0.5) (fma x (log y) a)))
1.0ms
(cbrt (fma (log c) (- b 0.5) (fma x (log y) a)))
1.0ms
(cbrt (fma (log c) (- b 0.5) (fma x (log y) a)))

series10.4s

Counts
4 → 12
Calls
4 calls:
6.1s
(* (cbrt (fma (log c) (- b 0.5) (fma x (log y) a))) (cbrt (fma (log c) (- b 0.5) (fma x (log y) a))))
1.4s
(cbrt (fma (log c) (- b 0.5) (fma x (log y) a)))
1.3s
(cbrt (fma (log c) (- b 0.5) (fma x (log y) a)))
1.6s
(cbrt (fma (log c) (- b 0.5) (fma x (log y) a)))

simplify1.4s

Counts
93 → 93
Iterations
IterNodes
done5002
23538
1667
0216

prune1.3s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize83.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (log c) (- b 0.5) (fma (log y) x a)))
0.6b
(cbrt (fma (log c) (- b 0.5) (fma x (log y) a)))
0.6b
(cbrt (fma (log c) (- b 0.5) (fma x (log y) a)))
0.9b
(pow (cbrt (cbrt (fma (log c) (- b 0.5) (fma (log y) x a)))) (+ 3 1))

rewrite33.0ms

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 add-cbrt-cube pow1/3 log1p-expm1-u add-log-exp
2×pow-pow
1×pow-to-exp unpow-prod-up pow-exp distribute-lft-out sqr-pow
Counts
4 → 67
Calls
4 calls:
1.0ms
(cbrt (fma (log c) (- b 0.5) (fma (log y) x a)))
1.0ms
(cbrt (fma (log c) (- b 0.5) (fma x (log y) a)))
2.0ms
(cbrt (fma (log c) (- b 0.5) (fma x (log y) a)))
26.0ms
(pow (cbrt (cbrt (fma (log c) (- b 0.5) (fma (log y) x a)))) (+ 3 1))

series1.2m

Counts
4 → 12
Calls
4 calls:
1.8s
(cbrt (fma (log c) (- b 0.5) (fma (log y) x a)))
1.3s
(cbrt (fma (log c) (- b 0.5) (fma x (log y) a)))
1.5s
(cbrt (fma (log c) (- b 0.5) (fma x (log y) a)))
1.2m
(pow (cbrt (cbrt (fma (log c) (- b 0.5) (fma (log y) x a)))) (+ 3 1))

simplify1.8s

Counts
79 → 79
Iterations
IterNodes
done5000
24936
1964
0298

prune1.5s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize115.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (pow (cbrt (cbrt (fma (log c) (- b 0.5) (fma (log y) x a)))) 4))
0.9b
(pow (cbrt (cbrt (fma (log c) (- b 0.5) (fma (log y) x a)))) 4)
0.9b
(pow (cbrt (cbrt (fma (log c) (- b 0.5) (fma (log y) x a)))) 4)
0.9b
(pow (cbrt (cbrt (fma (log c) (- b 0.5) (fma (log y) x a)))) 4)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
49×cbrt-prod
36×unpow-prod-down
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×pow-unpow
7×pow1 add-exp-log
6×pow-pow
4×expm1-log1p-u add-cbrt-cube pow1/3 log1p-expm1-u add-log-exp sqr-pow
3×pow-to-exp pow-exp
Counts
4 → 101
Calls
4 calls:
4.0ms
(cbrt (pow (cbrt (cbrt (fma (log c) (- b 0.5) (fma (log y) x a)))) 4))
4.0ms
(pow (cbrt (cbrt (fma (log c) (- b 0.5) (fma (log y) x a)))) 4)
4.0ms
(pow (cbrt (cbrt (fma (log c) (- b 0.5) (fma (log y) x a)))) 4)
4.0ms
(pow (cbrt (cbrt (fma (log c) (- b 0.5) (fma (log y) x a)))) 4)

series4.5m

Counts
4 → 12
Calls
4 calls:
1.1m
(cbrt (pow (cbrt (cbrt (fma (log c) (- b 0.5) (fma (log y) x a)))) 4))
1.2m
(pow (cbrt (cbrt (fma (log c) (- b 0.5) (fma (log y) x a)))) 4)
1.2m
(pow (cbrt (cbrt (fma (log c) (- b 0.5) (fma (log y) x a)))) 4)
1.2m
(pow (cbrt (cbrt (fma (log c) (- b 0.5) (fma (log y) x a)))) 4)

simplify602.0ms

Counts
113 → 113
Iterations
IterNodes
done5001
11185
0352

prune2.2s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes1.9s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done19
119
017

end0.0ms

sample10.5s

Algorithm
intervals
Results
5.2s27553×body80nan
1.6s9196×body80valid
0.0ms1×body160valid