Details

Time bar (total: 22.0s)

sample161.0ms

Algorithm
intervals
Results
50.0ms122×body320valid
27.0ms522×pre80true
26.0ms266×body80nan
17.0ms86×body160valid
7.0ms19×body640valid
3.0ms29×body80valid

simplify150.0ms

Counts
1 → 1

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.3b

localize45.0ms

Local error

Found 4 expressions with local error:

24.4b
(- (sqrt (fma c (* -3 a) (* b b))) b)
0.2b
(/ (- (sqrt (fma c (* -3 a) (* b b))) b) (* 3 a))
0.1b
(fma c (* -3 a) (* b b))
0.0b
(sqrt (fma c (* -3 a) (* b b)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
27×*-un-lft-identity
21×add-cube-cbrt
18×prod-diff sqrt-prod
9×add-cbrt-cube add-exp-log
6×times-frac fma-neg associate-/l* add-log-exp difference-of-squares
5×pow1
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×distribute-lft-out--
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×rem-sqrt-square clear-num associate-/r* sub-neg frac-2neg sqrt-pow1 pow1/2 diff-log div-sub prod-exp cbrt-unprod fma-udef div-inv
Counts
4 → 102
Calls
4 calls:
Slowest
19.0ms
(/ (- (sqrt (fma c (* -3 a) (* b b))) b) (* 3 a))
14.0ms
(- (sqrt (fma c (* -3 a) (* b b))) b)
1.0ms
(sqrt (fma c (* -3 a) (* b b)))
0.0ms
(fma c (* -3 a) (* b b))

series371.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
126.0ms
(/ (- (sqrt (fma c (* -3 a) (* b b))) b) (* 3 a))
94.0ms
(sqrt (fma c (* -3 a) (* b b)))
93.0ms
(- (sqrt (fma c (* -3 a) (* b b))) b)
58.0ms
(fma c (* -3 a) (* b b))

simplify1.6s

Counts
114 → 114

prune1.5s

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 50.1b

localize30.0ms

Local error

Found 4 expressions with local error:

52.7b
(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
0.3b
(/ (fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b)) (* 3 a))
0.1b
(fma c (* -3 a) (* b b))
0.1b
(fma c (* -3 a) (* b b))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
9×add-cbrt-cube add-exp-log
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
3×times-frac fma-udef associate-/l*
2×cbrt-undiv div-exp
1×clear-num associate-/r* frac-2neg prod-exp cbrt-unprod div-inv
Counts
4 → 57
Calls
4 calls:
Slowest
6.0ms
(/ (fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b)) (* 3 a))
0.0ms
(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
0.0ms
(fma c (* -3 a) (* b b))
0.0ms
(fma c (* -3 a) (* b b))

series1.2s

Counts
4 → 12
Calls
4 calls:
Slowest
628.0ms
(/ (fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b)) (* 3 a))
454.0ms
(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
90.0ms
(fma c (* -3 a) (* b b))
65.0ms
(fma c (* -3 a) (* b b))

simplify1.4s

Counts
69 → 69

prune1.1s

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 50.1b

localize100.0ms

Local error

Found 4 expressions with local error:

52.7b
(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
52.7b
(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
52.7b
(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
0.5b
(cbrt (/ (fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b)) (* 3 a)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
7×cbrt-prod
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
3×times-frac fma-udef
1×cbrt-div pow1/3 div-inv
Counts
4 → 52
Calls
4 calls:
Slowest
3.0ms
(cbrt (/ (fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b)) (* 3 a)))
0.0ms
(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
0.0ms
(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
0.0ms
(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))

series1.7s

Counts
4 → 12
Calls
4 calls:
Slowest
542.0ms
(cbrt (/ (fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b)) (* 3 a)))
393.0ms
(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
388.0ms
(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
360.0ms
(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))

simplify1.4s

Counts
64 → 64

prune1.2s

Pruning

31 alts after pruning (31 fresh and 0 done)

Merged error: 50.1b

localize117.0ms

Local error

Found 4 expressions with local error:

52.7b
(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
52.7b
(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
52.7b
(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
52.7b
(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef insert-posit16 log1p-expm1-u add-log-exp
Counts
4 → 44
Calls
4 calls:
Slowest
1.0ms
(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
0.0ms
(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
0.0ms
(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
0.0ms
(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))

series1.7s

Counts
4 → 12
Calls
4 calls:
Slowest
437.0ms
(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
431.0ms
(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
400.0ms
(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))
387.0ms
(fma (sqrt (sqrt (fma c (* -3 a) (* b b)))) (sqrt (sqrt (fma c (* -3 a) (* b b)))) (- b))

simplify725.0ms

Counts
56 → 56

prune872.0ms

Pruning

31 alts after pruning (31 fresh and 0 done)

Merged error: 50.0b

regimes939.0ms

Accuracy

0% (2.6b remaining)

Error of 52.1b against oracle of 49.5b and baseline of 52.1b

bsearch14.0ms

end0.0ms

sample5.8s

Algorithm
intervals
Results
1.4s3633×body320valid
1.3s2943×body160valid
1.1s15962×pre80true
1.0s7962×body80nan
387.0ms539×body640valid
134.0ms885×body80valid