Details

Time bar (total: 14.7s)

sample131.0ms

Algorithm
intervals
Results
40.0ms833×body80nan
18.0ms283×body80valid

simplify38.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
03910
11118
24648
316548
450018
done50018

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (fma x (log y) z) (+ t a))
0.0b
(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
0.2b
(fma x (log y) z)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
9×*-un-lft-identity
8×add-log-exp
4×add-sqr-sqrt add-cube-cbrt
3×pow1 add-exp-log expm1-log1p-u fma-def sum-log add-cbrt-cube fma-udef log1p-expm1-u distribute-lft-out
1×+-commutative associate-+l+ associate-+r+ flip3-+ flip-+
Counts
3 → 41
Calls
3 calls:
18.0ms
(+ (fma x (log y) z) (+ t a))
0.0ms
(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
0.0ms
(fma x (log y) z)

series506.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(+ (fma x (log y) z) (+ t a))
364.0ms
(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
55.0ms
(fma x (log y) z)

simplify70.0ms

Counts
50 → 50
Iterations

Useful iterations: 3 (66.0ms)

IterNodesCost
0187278
1634250
23135246
35002245
done5002245

prune221.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
6×*-un-lft-identity
5×add-log-exp
4×add-sqr-sqrt add-cube-cbrt
3×pow1 add-exp-log expm1-log1p-u fma-def add-cbrt-cube fma-udef log1p-expm1-u
1×+-commutative associate-+l+ flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 38
Calls
3 calls:
6.0ms
(+ (fma x (log y) (+ t z)) a)
0.0ms
(fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a))
0.0ms
(fma x (log y) (+ t z))

series509.0ms

Counts
3 → 9
Calls
3 calls:
93.0ms
(+ (fma x (log y) (+ t z)) a)
366.0ms
(fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a))
50.0ms
(fma x (log y) (+ t z))

simplify63.0ms

Counts
47 → 47
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
0162279
1500252
22512247
35002246
done5002246

prune214.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a)))
0.5b
(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a)))
0.5b
(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a)))
0.5b
(* (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a))) (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a))))

rewrite19.0ms

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:
1.0ms
(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a)))
1.0ms
(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a)))
1.0ms
(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a)))
14.0ms
(* (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a))) (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a))))

series2.9s

Counts
4 → 12
Calls
4 calls:
567.0ms
(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a)))
572.0ms
(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a)))
568.0ms
(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a)))
1.1s
(* (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a))) (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a))))

simplify47.0ms

Counts
93 → 93
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
03781678
113581552
250021427
done50021427

prune471.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
42×cbrt-prod
38×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
18×pow1
14×pow1/3
12×swap-sqr associate-*r* associate-*l*
8×add-exp-log unswap-sqr
4×expm1-log1p-u pow-prod-down pow-sqr pow-prod-up add-cbrt-cube log1p-expm1-u add-log-exp
2×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 111
Calls
4 calls:
11.0ms
(* (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a))) (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a))))
11.0ms
(* (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a))) (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a))))
1.0ms
(cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a))))
6.0ms
(cbrt (* (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a))) (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a)))))

series4.0s

Counts
4 → 12
Calls
4 calls:
1.1s
(* (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a))) (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a))))
1.2s
(* (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a))) (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a))))
571.0ms
(cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a))))
1.2s
(cbrt (* (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a))) (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a)))))

simplify67.0ms

Counts
123 → 123
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
05072555
118512389
250012089
done50012089

prune646.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes624.0ms

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
0198
1198
done198

end0.0ms

sample4.1s

Algorithm
intervals
Results
1.3s27634×body80nan
527.0ms9207×body80valid
0.0ms1×body640valid
0.0ms1×body160valid