Details

Time bar (total: 4.8s)

sample50.0ms

Algorithm
intervals
Results
36.0ms549×body80valid

simplify195.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
195.0ms
(exp (- (- 1 (* x x))))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(exp (fma x x -1))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
3×exp-prod
2×add-sqr-sqrt *-un-lft-identity add-cube-cbrt add-log-exp
1×expm1-log1p-u pow1 add-cbrt-cube exp-sum add-exp-log fma-udef insert-posit16 log1p-expm1-u rem-exp-log
Counts
1 → 15
Calls
1 calls:
Slowest
2.0ms
(exp (fma x x -1))

series29.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
29.0ms
(exp (fma x x -1))

simplify395.0ms

Counts
8 → 18
Calls
8 calls:
Slowest
273.0ms
(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
78.0ms
(exp (* (cbrt (fma x x -1)) (cbrt (fma x x -1))))
16.0ms
(exp (sqrt (fma x x -1)))
9.0ms
(exp (* x x))
7.0ms
(exp (fma x x -1))

prune113.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

1.0b
(expm1 (log1p (exp (fma x x -1))))
1.0b
(log1p (exp (fma x x -1)))
0.0b
(exp (fma x x -1))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt expm1-log1p-u *-un-lft-identity add-cube-cbrt add-log-exp
3×pow1 exp-prod add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u
1×log1p-udef expm1-log1p exp-sum log1p-expm1 fma-udef expm1-udef rem-exp-log
Counts
3 → 39
Calls
3 calls:
Slowest
2.0ms
(exp (fma x x -1))
0.0ms
(log1p (exp (fma x x -1)))
0.0ms
(expm1 (log1p (exp (fma x x -1))))

series399.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
227.0ms
(expm1 (log1p (exp (fma x x -1))))
142.0ms
(log1p (exp (fma x x -1)))
30.0ms
(exp (fma x x -1))

simplify1.1s

Counts
16 → 48
Calls
16 calls:
Slowest
342.0ms
(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
239.0ms
(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
212.0ms
(- (+ (* 1/2 (/ (* (pow x 4) (exp -1)) (+ (exp -1) 1))) (+ (/ (* (pow x 2) (exp -1)) (+ (exp -1) 1)) (log (+ (exp -1) 1)))) (* 1/2 (/ (* (pow x 4) (pow (exp -1) 2)) (pow (+ (exp -1) 1) 2))))
72.0ms
(log (+ (exp (fma x x -1)) 1))
71.0ms
(log (+ (exp (fma x x -1)) 1))

prune528.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(pow E (fma x x -1))

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt pow-unpow unpow-prod-down *-un-lft-identity add-cube-cbrt
2×pow1 pow-exp add-exp-log
1×expm1-log1p-u pow-to-exp unpow-prod-up e-exp-1 pow-pow add-cbrt-cube fma-udef insert-posit16 log1p-expm1-u add-log-exp sqr-pow
Counts
1 → 22
Calls
1 calls:
Slowest
2.0ms
(pow E (fma x x -1))

series59.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
58.0ms
(pow E (fma x x -1))

simplify470.0ms

Counts
12 → 25
Calls
12 calls:
Slowest
305.0ms
(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
58.0ms
(pow (* (cbrt E) (cbrt E)) (fma x x -1))
25.0ms
(* 1 (fma x x -1))
24.0ms
(* (log E) (fma x x -1))
10.0ms
(exp (fma x x -1))

prune153.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes18.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.1s15946×body80valid