Details

Time bar (total: 15.6s)

sample18.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify16.0ms

Counts
1 → 1

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.0b

localize14.0ms

Local error

Found 1 expressions with local error:

12.0b
(/ x (fma x x 1))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
3×associate-/r* add-cbrt-cube add-exp-log associate-/l*
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg div-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 30
Calls
1 calls:
Slowest
9.0ms
(/ x (fma x x 1))

series90.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
89.0ms
(/ x (fma x x 1))

simplify2.0s

Counts
33 → 33

prune260.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

12.0b
(/ x (fma x x 1))
12.0b
(/ x (fma x x 1))
12.0b
(/ x (fma x x 1))
0.6b
(cbrt (/ x (fma x x 1)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
35×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×cbrt-prod
10×add-cbrt-cube add-exp-log
9×associate-/r* associate-/l*
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u div-inv add-log-exp
3×cbrt-undiv clear-num frac-2neg div-exp
1×cbrt-div pow1/3
Counts
4 → 115
Calls
4 calls:
Slowest
7.0ms
(/ x (fma x x 1))
4.0ms
(/ x (fma x x 1))
4.0ms
(/ x (fma x x 1))
1.0ms
(cbrt (/ x (fma x x 1)))

series448.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
233.0ms
(cbrt (/ x (fma x x 1)))
79.0ms
(/ x (fma x x 1))
71.0ms
(/ x (fma x x 1))
64.0ms
(/ x (fma x x 1))

simplify1.8s

Counts
127 → 127

prune1.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 1 expressions with local error:

11.4b
(fma x (- 1 (* x x)) (pow x 5))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×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
1 → 11
Calls
1 calls:
Slowest
1.0ms
(fma x (- 1 (* x x)) (pow x 5))

series97.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
97.0ms
(fma x (- 1 (* x x)) (pow x 5))

simplify4.4s

Counts
14 → 14

prune115.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

21.8b
(+ (/ 1 (pow x 5)) (- (/ 1 x) (/ 1 (* (* x x) x))))
0.2b
(/ 1 (pow x 5))
0.2b
(/ 1 (* (* x x) x))
0.1b
(* (* x x) x)

rewrite217.0ms

Algorithm
rewrite-expression-head
Rules
147×times-frac
127×*-un-lft-identity
113×add-sqr-sqrt
112×add-cube-cbrt
93×associate-+r+
91×prod-diff
43×pow1
39×add-exp-log
36×div-inv
25×fma-def
21×unpow-prod-down
20×add-cbrt-cube
13×pow-flip
12×pow-plus div-exp prod-exp pow-prod-up
10×distribute-lft-out
9×add-log-exp
8×associate-/r* distribute-lft-out--
7×sqr-pow
6×rec-exp 1-exp pow-prod-down cbrt-unprod associate-/l*
4×pow2 expm1-log1p-u cbrt-undiv pow-sqr insert-posit16 log1p-expm1-u
3×pow-to-exp associate-*r* frac-add pow-exp
2×clear-num sum-log frac-2neg pow3 inv-pow
1×+-commutative associate-+r- sub-neg flip3-+ flip3-- diff-log associate-*l* *-commutative frac-sub flip-+ flip-- unswap-sqr
Counts
4 → 279
Calls
4 calls:
Slowest
143.0ms
(+ (/ 1 (pow x 5)) (- (/ 1 x) (/ 1 (* (* x x) x))))
28.0ms
(/ 1 (* (* x x) x))
24.0ms
(* (* x x) x)
12.0ms
(/ 1 (pow x 5))

series246.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
68.0ms
(/ 1 (pow x 5))
65.0ms
(/ 1 (* (* x x) x))
64.0ms
(+ (/ 1 (pow x 5)) (- (/ 1 x) (/ 1 (* (* x x) x))))
49.0ms
(* (* x x) x)

simplify888.0ms

Counts
291 → 291

prune2.9s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes39.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.3b

bsearch83.0ms

end0.0ms

sample670.0ms

Algorithm
intervals
Results
556.0ms8000×body80valid