Details

Time bar (total: 19.4s)

sample118.0ms

Algorithm
intervals
Results
51.0ms71×body1280valid
28.0ms59×body640valid
18.0ms28×body2560valid
5.0ms68×body80valid
4.0ms15×body320valid
3.0ms15×body160valid

simplify10.0ms

Counts
1 → 1

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.4b

localize42.0ms

Local error

Found 3 expressions with local error:

2.4b
(log (+ x (hypot 1 x)))
1.1b
(+ x (hypot 1 x))
0.0b
(hypot 1 x)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
9×*-un-lft-identity
5×add-sqr-sqrt add-cube-cbrt add-log-exp
4×pow1 log-prod add-exp-log
3×expm1-log1p-u fma-def add-cbrt-cube insert-posit16 log1p-expm1-u
2×log-div flip3-+ flip-+ distribute-lft-out
1×+-commutative hypot-udef sum-log rem-log-exp log-pow
Counts
3 → 47
Calls
3 calls:
Slowest
9.0ms
(+ x (hypot 1 x))
7.0ms
(log (+ x (hypot 1 x)))
0.0ms
(hypot 1 x)

series334.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
170.0ms
(log (+ x (hypot 1 x)))
95.0ms
(+ x (hypot 1 x))
69.0ms
(hypot 1 x)

simplify1.7s

Counts
56 → 56

prune520.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

20.7b
(- (fma 3/40 (pow x 5) x) (* 1/6 (* (* x x) x)))
0.1b
(* 1/6 (* (* x x) x))
0.1b
(* (* x x) x)
0.0b
(fma 3/40 (pow x 5) x)

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
32×pow1
18×add-cbrt-cube add-exp-log
9×add-sqr-sqrt pow-prod-down prod-exp cbrt-unprod
8×*-un-lft-identity add-cube-cbrt
6×pow-plus pow-prod-up add-log-exp
4×expm1-log1p-u associate-*r* associate-*l* insert-posit16 log1p-expm1-u
3×fma-neg prod-diff
2×pow2 pow-sqr *-commutative fma-udef
1×sub-neg flip3-- diff-log pow3 associate--l+ flip-- unswap-sqr
Counts
4 → 88
Calls
4 calls:
Slowest
57.0ms
(* 1/6 (* (* x x) x))
34.0ms
(* (* x x) x)
6.0ms
(- (fma 3/40 (pow x 5) x) (* 1/6 (* (* x x) x)))
0.0ms
(fma 3/40 (pow x 5) x)

series336.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
164.0ms
(fma 3/40 (pow x 5) x)
74.0ms
(- (fma 3/40 (pow x 5) x) (* 1/6 (* (* x x) x)))
57.0ms
(* 1/6 (* (* x x) x))
41.0ms
(* (* x x) x)

simplify1.2s

Counts
100 → 100

prune1.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

20.7b
(- (* (* (cbrt (fma 3/40 (pow x 5) x)) (cbrt (fma 3/40 (pow x 5) x))) (cbrt (fma 3/40 (pow x 5) x))) (* 1/6 (* (* x x) x)))
10.5b
(cbrt (fma 3/40 (pow x 5) x))
10.5b
(cbrt (fma 3/40 (pow x 5) x))
10.5b
(cbrt (fma 3/40 (pow x 5) x))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×add-log-exp
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u
3×pow1/3
1×sub-neg flip3-- fma-neg diff-log prod-diff flip--
Counts
4 → 59
Calls
4 calls:
Slowest
62.0ms
(- (* (* (cbrt (fma 3/40 (pow x 5) x)) (cbrt (fma 3/40 (pow x 5) x))) (cbrt (fma 3/40 (pow x 5) x))) (* 1/6 (* (* x x) x)))
1.0ms
(cbrt (fma 3/40 (pow x 5) x))
1.0ms
(cbrt (fma 3/40 (pow x 5) x))
1.0ms
(cbrt (fma 3/40 (pow x 5) x))

series2.7s

Counts
4 → 12
Calls
4 calls:
Slowest
905.0ms
(cbrt (fma 3/40 (pow x 5) x))
892.0ms
(cbrt (fma 3/40 (pow x 5) x))
842.0ms
(cbrt (fma 3/40 (pow x 5) x))
92.0ms
(- (* (* (cbrt (fma 3/40 (pow x 5) x)) (cbrt (fma 3/40 (pow x 5) x))) (cbrt (fma 3/40 (pow x 5) x))) (* 1/6 (* (* x x) x)))

simplify1.2s

Counts
71 → 71

prune828.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize105.0ms

Local error

Found 4 expressions with local error:

20.7b
(- (* (* (cbrt (fma 3/40 (pow x 5) x)) (cbrt (fma 3/40 (pow x 5) x))) (cbrt (fma 3/40 (pow x 5) x))) (* 1/6 (* (* x x) x)))
20.7b
(- (* (* (cbrt (fma 3/40 (pow x 5) x)) (cbrt (fma 3/40 (pow x 5) x))) (cbrt (fma 3/40 (pow x 5) x))) (* 1/6 (* (* x x) x)))
20.7b
(- (* (* (cbrt (fma 3/40 (pow x 5) x)) (cbrt (fma 3/40 (pow x 5) x))) (cbrt (fma 3/40 (pow x 5) x))) (* 1/6 (* (* x x) x)))
10.5b
(cbrt (fma 3/40 (pow x 5) x))

rewrite215.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
5×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
3×cbrt-prod sub-neg flip3-- fma-neg diff-log prod-diff flip--
1×pow1/3
Counts
4 → 65
Calls
4 calls:
Slowest
82.0ms
(- (* (* (cbrt (fma 3/40 (pow x 5) x)) (cbrt (fma 3/40 (pow x 5) x))) (cbrt (fma 3/40 (pow x 5) x))) (* 1/6 (* (* x x) x)))
69.0ms
(- (* (* (cbrt (fma 3/40 (pow x 5) x)) (cbrt (fma 3/40 (pow x 5) x))) (cbrt (fma 3/40 (pow x 5) x))) (* 1/6 (* (* x x) x)))
63.0ms
(- (* (* (cbrt (fma 3/40 (pow x 5) x)) (cbrt (fma 3/40 (pow x 5) x))) (cbrt (fma 3/40 (pow x 5) x))) (* 1/6 (* (* x x) x)))
1.0ms
(cbrt (fma 3/40 (pow x 5) x))

series1.2s

Counts
4 → 12
Calls
4 calls:
Slowest
931.0ms
(cbrt (fma 3/40 (pow x 5) x))
104.0ms
(- (* (* (cbrt (fma 3/40 (pow x 5) x)) (cbrt (fma 3/40 (pow x 5) x))) (cbrt (fma 3/40 (pow x 5) x))) (* 1/6 (* (* x x) x)))
103.0ms
(- (* (* (cbrt (fma 3/40 (pow x 5) x)) (cbrt (fma 3/40 (pow x 5) x))) (cbrt (fma 3/40 (pow x 5) x))) (* 1/6 (* (* x x) x)))
69.0ms
(- (* (* (cbrt (fma 3/40 (pow x 5) x)) (cbrt (fma 3/40 (pow x 5) x))) (cbrt (fma 3/40 (pow x 5) x))) (* 1/6 (* (* x x) x)))

simplify1.4s

Counts
77 → 77

prune1.3s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes63.0ms

Accuracy

100% (0.0b remaining)

Error of 0.2b against oracle of 0.2b and baseline of 30.8b

bsearch127.0ms

end0.0ms

sample4.6s

Algorithm
intervals
Results
2.1s2376×body1280valid
881.0ms1536×body640valid
585.0ms771×body2560valid
580.0ms781×body320valid
194.0ms2102×body80valid
86.0ms434×body160valid