Details

Time bar (total: 8.1s)

sample57.0ms

Algorithm
intervals
Results
42.0ms517×body80valid

simplify151.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
151.0ms
(exp (- (- 1 (* x x))))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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
3.0ms
(exp (fma x x -1))

series43.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
43.0ms
(exp (fma x x -1))

simplify367.0ms

Counts
8 → 18
Calls
8 calls:
Slowest
253.0ms
(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
72.0ms
(exp (* (cbrt (fma x x -1)) (cbrt (fma x x -1))))
16.0ms
(exp (sqrt (fma x x -1)))
10.0ms
(exp (* x x))
6.0ms
(exp (fma x x -1))

prune100.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cbrt (fma x x -1)) (cbrt (fma x x -1)))
0.0b
(exp (* (cbrt (fma x x -1)) (cbrt (fma x x -1))))
0.0b
(pow (exp (* (cbrt (fma x x -1)) (cbrt (fma x x -1)))) (cbrt (fma x x -1)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
19×cbrt-prod
14×*-un-lft-identity add-cube-cbrt
11×pow1
6×pow-unpow pow1/3 swap-sqr associate-*r* associate-*l* add-log-exp
5×add-exp-log
4×unswap-sqr
3×expm1-log1p-u unpow-prod-down pow-pow add-cbrt-cube insert-posit16 log1p-expm1-u
2×exp-prod exp-to-pow pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-to-exp pow-plus pow-exp prod-exp *-commutative cbrt-unprod sqr-pow rem-exp-log
Counts
3 → 81
Calls
3 calls:
Slowest
11.0ms
(* (cbrt (fma x x -1)) (cbrt (fma x x -1)))
8.0ms
(pow (exp (* (cbrt (fma x x -1)) (cbrt (fma x x -1)))) (cbrt (fma x x -1)))
5.0ms
(exp (* (cbrt (fma x x -1)) (cbrt (fma x x -1))))

series699.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
397.0ms
(pow (exp (* (cbrt (fma x x -1)) (cbrt (fma x x -1)))) (cbrt (fma x x -1)))
165.0ms
(exp (* (cbrt (fma x x -1)) (cbrt (fma x x -1))))
137.0ms
(* (cbrt (fma x x -1)) (cbrt (fma x x -1)))

simplify4.4s

Counts
69 → 90
Calls
69 calls:
Slowest
405.0ms
(- (+ (exp (pow -1 1/3)) (* 1/2 (* (pow x 4) (exp (pow -1 1/3))))) (* (* (pow x 2) (exp (pow -1 1/3))) (pow -1 1/3)))
352.0ms
(pow (sqrt (exp (* (cbrt (fma x x -1)) (cbrt (fma x x -1))))) (cbrt (fma x x -1)))
349.0ms
(pow (* (cbrt (exp (* (cbrt (fma x x -1)) (cbrt (fma x x -1))))) (cbrt (exp (* (cbrt (fma x x -1)) (cbrt (fma x x -1)))))) (cbrt (fma x x -1)))
329.0ms
(- (+ (* 1/9 (* (pow x 4) E)) E) (* 2/3 (* (pow x 2) E)))
268.0ms
(- (pow (/ 1 x) -4/3) (+ (* 2/3 (pow (/ 1 (pow x 2)) 1/3)) (* 1/9 (pow (/ 1 (pow x 8)) 1/3))))

prune755.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes19.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch1.0ms

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.2s16063×body80valid