Details

sample60.0ms

Algorithm

intervals

Results

44.0ms

547×

body

valid

simplify203.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

203.0ms

(exp (- (- 1 (* x x))))

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

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

4.0ms

(exp (fma x x -1))

series26.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

26.0ms

(exp (fma x x -1))

simplify1.1s

Counts

18 → 18

Calls

18 calls:

Slowest

476.0ms	(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
252.0ms	(* (* (exp (fma x x -1)) (exp (fma x x -1))) (exp (fma x x -1)))
85.0ms	(exp (* (cbrt (fma x x -1)) (cbrt (fma x x -1))))
81.0ms	(* (cbrt (exp (fma x x -1))) (cbrt (exp (fma x x -1))))
21.0ms	(cbrt (exp (fma x x -1)))

prune163.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (exp (fma x x -1)))
1.0b	(cbrt (exp (fma x x -1)))
1.0b	(cbrt (exp (fma x x -1)))
0.0b	(exp (fma x x -1))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`add-log-exp`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `exp-sum` `add-exp-log` `fma-udef` `insert-posit16` `log1p-expm1-u`
3×	`exp-prod` `pow1/3`
1×	`rem-exp-log`

Counts

4 → 60

Calls

4 calls:

Slowest

4.0ms	(cbrt (exp (fma x x -1)))
4.0ms	(cbrt (exp (fma x x -1)))
4.0ms	(cbrt (exp (fma x x -1)))
4.0ms	(exp (fma x x -1))

series608.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

194.0ms	(cbrt (exp (fma x x -1)))
193.0ms	(cbrt (exp (fma x x -1)))
190.0ms	(cbrt (exp (fma x x -1)))
31.0ms	(exp (fma x x -1))

simplify4.7s

Counts

81 → 72

Calls

81 calls:

Slowest

409.0ms	(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
343.0ms	(+ (* 1/18 (* (pow x 4) (exp -1/3))) (+ (exp -1/3) (* 1/3 (* (pow x 2) (exp -1/3)))))
290.0ms	(+ (* 1/18 (* (pow x 4) (exp -1/3))) (+ (exp -1/3) (* 1/3 (* (pow x 2) (exp -1/3)))))
284.0ms	(* (* (exp (fma x x -1)) (exp (fma x x -1))) (exp (fma x x -1)))
279.0ms	(+ (* 1/18 (* (pow x 4) (exp -1/3))) (+ (exp -1/3) (* 1/3 (* (pow x 2) (exp -1/3)))))

prune492.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (exp (fma x x -1)))
1.0b	(cbrt (exp (fma x x -1)))
1.0b	(cbrt (pow E (fma x x -1)))
0.0b	(pow E (fma x x -1))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow1/3`
2×	`unpow-prod-up` `exp-sum` `pow-exp` `sqr-pow`
1×	`pow-to-exp` `e-exp-1` `pow-pow`

Counts

4 → 71

Calls

4 calls:

Slowest

11.0ms	(cbrt (exp (fma x x -1)))
4.0ms	(pow E (fma x x -1))
4.0ms	(cbrt (exp (fma x x -1)))
3.0ms	(cbrt (pow E (fma x x -1)))

series725.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

228.0ms	(cbrt (pow E (fma x x -1)))
228.0ms	(cbrt (exp (fma x x -1)))
198.0ms	(cbrt (exp (fma x x -1)))
71.0ms	(pow E (fma x x -1))

simplify7.4s

Counts

101 → 83

Calls

101 calls:

Slowest

585.0ms	(* (* (pow E (fma x x -1)) (pow E (fma x x -1))) (pow E (fma x x -1)))
469.0ms	(* (cbrt (cbrt (pow E (fma x x -1)))) (cbrt (cbrt (pow E (fma x x -1)))))
452.0ms	(cbrt (* (cbrt (pow E (fma x x -1))) (cbrt (pow E (fma x x -1)))))
436.0ms	(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
427.0ms	(* (* (cbrt (pow E (fma x x -1))) (cbrt (pow E (fma x x -1)))) (cbrt (pow E (fma x x -1))))

prune428.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (exp (fma x x -1)))
1.0b	(cbrt (pow E (fma x x -1)))
1.0b	(* (cbrt (sqrt (exp (fma x x -1)))) (cbrt (sqrt (exp (fma x x -1)))))
0.0b	(pow E (fma x x -1))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

56×	`cbrt-prod`
43×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`*-un-lft-identity` `add-cube-cbrt`
12×	`pow1` `swap-sqr`
10×	`associate-r` `associate-l`
9×	`unswap-sqr`
8×	`pow1/3`
7×	`add-exp-log` `fma-udef`
6×	`unpow-prod-down`
5×	`exp-sum`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`unpow-prod-up` `pow-prod-down` `pow-exp` `pow-sqr` `pow-prod-up` `sqr-pow`
1×	`pow2` `pow-to-exp` `e-exp-1` `pow-pow` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 118

Calls

4 calls:

Slowest

34.0ms	(* (cbrt (sqrt (exp (fma x x -1)))) (cbrt (sqrt (exp (fma x x -1)))))
3.0ms	(pow E (fma x x -1))
3.0ms	(cbrt (exp (fma x x -1)))
3.0ms	(cbrt (pow E (fma x x -1)))

series689.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

224.0ms	(cbrt (pow E (fma x x -1)))
213.0ms	(* (cbrt (sqrt (exp (fma x x -1)))) (cbrt (sqrt (exp (fma x x -1)))))
187.0ms	(cbrt (exp (fma x x -1)))
65.0ms	(pow E (fma x x -1))

simplify15.8s

Counts

164 → 130

Calls

164 calls:

Slowest

813.0ms	(* (* (cbrt (pow E (fma x x -1))) (cbrt (pow E (fma x x -1)))) (cbrt (pow E (fma x x -1))))
510.0ms	(* (* (pow E (fma x x -1)) (pow E (fma x x -1))) (pow E (fma x x -1)))
410.0ms	(cbrt (* (cbrt (pow E (fma x x -1))) (cbrt (pow E (fma x x -1)))))
406.0ms	(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
382.0ms	(* (cbrt (cbrt (pow E (fma x x -1)))) (cbrt (cbrt (pow E (fma x x -1)))))

prune880.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes33.0ms

Accuracy

0% (0.0b remaining)

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

bsearch7.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

1.1s

15638×

body

valid