Details

sample38.0ms

Algorithm

intervals

Results

28.0ms

520×

body

valid

simplify146.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

146.0ms

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

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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))

series41.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

40.0ms

(exp (fma x x -1))

simplify554.0ms

Counts

8 → 18

Calls

8 calls:

Slowest

432.0ms	(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
68.0ms	(exp (* (cbrt (fma x x -1)) (cbrt (fma x x -1))))
18.0ms	(exp (sqrt (fma x x -1)))
12.0ms	(exp (* x x))
9.0ms	(exp (fma x x -1))

prune110.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

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))

series44.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

44.0ms

(pow E (fma x x -1))

simplify621.0ms

Counts

12 → 25

Calls

12 calls:

Slowest

463.0ms	(+ (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))
15.0ms	(* (log E) (fma x x -1))
15.0ms	(pow (sqrt E) (fma x x -1))
14.0ms	(* 1 (fma x x -1))

prune155.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

Slowest

2.0ms	(pow E (fma x x -1))
2.0ms	(cbrt (pow E (fma x x -1)))
1.0ms	(cbrt (pow E (fma x x -1)))
1.0ms	(cbrt (pow E (fma x x -1)))

series755.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

264.0ms	(cbrt (pow E (fma x x -1)))
220.0ms	(cbrt (pow E (fma x x -1)))
218.0ms	(cbrt (pow E (fma x x -1)))
53.0ms	(pow E (fma x x -1))

simplify4.8s

Counts

45 → 91

Calls

45 calls:

Slowest

463.0ms	(cbrt (* (cbrt (pow E (fma x x -1))) (cbrt (pow E (fma x x -1)))))
430.0ms	(cbrt (* (cbrt (pow E (fma x x -1))) (cbrt (pow E (fma x x -1)))))
429.0ms	(cbrt (* (cbrt (pow E (fma x x -1))) (cbrt (pow E (fma x x -1)))))
391.0ms	(cbrt (sqrt (pow E (fma x x -1))))
349.0ms	(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))

prune927.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

Slowest

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

series521.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

212.0ms	(cbrt (pow E (fma x x -1)))
196.0ms	(cbrt (pow E (fma x x -1)))
70.0ms	(pow E (fma x x -1))
43.0ms	(pow E (fma x x -1))

simplify3.8s

Counts

46 → 94

Calls

46 calls:

Slowest

521.0ms	(cbrt (* (cbrt (pow E (fma x x -1))) (cbrt (pow E (fma x x -1)))))
509.0ms	(cbrt (* (cbrt (pow E (fma x x -1))) (cbrt (pow E (fma x x -1)))))
380.0ms	(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
369.0ms	(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
309.0ms	(+ (* 1/18 (* (pow x 4) (exp -1/3))) (+ (exp -1/3) (* 1/3 (* (pow x 2) (exp -1/3)))))

prune849.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes37.0ms

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

1.1s

16018×

body

valid