Details

sample86.0ms

Algorithm

intervals

Results

49.0ms	209×	body	160	valid
13.0ms	47×	body	320	valid
11.0ms	256×	pre	80	true

simplify287.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

286.0ms

(+ (* (+ 1 (* t 2e-16)) (+ 1 (* t 2e-16))) (- -1 (* 2 (* t 2e-16))))

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 50.3b

localize27.0ms

Local error

Found 3 expressions with local error:

50.6b	(+ (fma (* 2e-16 t) -2 (fma (* 2e-16 t) (* 2e-16 t) (* 2e-16 t))) (* 2e-16 t))
0.7b	(fma (* 2e-16 t) -2 (fma (* 2e-16 t) (* 2e-16 t) (* 2e-16 t)))
0.4b	(fma (* 2e-16 t) (* 2e-16 t) (* 2e-16 t))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-log-exp`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
3×	`expm1-log1p-u` `pow1` `fma-def` `add-cbrt-cube` `add-exp-log` `fma-udef` `insert-posit16` `log1p-expm1-u`
1×	`+-commutative` `associate-+l+` `sum-log` `flip3-+` `flip-+`

Counts

3 → 40

Calls

3 calls:

Slowest

10.0ms	(+ (fma (* 2e-16 t) -2 (fma (* 2e-16 t) (* 2e-16 t) (* 2e-16 t))) (* 2e-16 t))
0.0ms	(fma (* 2e-16 t) -2 (fma (* 2e-16 t) (* 2e-16 t) (* 2e-16 t)))
0.0ms	(fma (* 2e-16 t) (* 2e-16 t) (* 2e-16 t))

series480.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

191.0ms	(+ (fma (* 2e-16 t) -2 (fma (* 2e-16 t) (* 2e-16 t) (* 2e-16 t))) (* 2e-16 t))
174.0ms	(fma (* 2e-16 t) -2 (fma (* 2e-16 t) (* 2e-16 t) (* 2e-16 t)))
114.0ms	(fma (* 2e-16 t) (* 2e-16 t) (* 2e-16 t))

simplify1.4s

Counts

13 → 49

Calls

13 calls:

Slowest

354.0ms	(* (cbrt (fma (* 2e-16 t) -2 (fma (* 2e-16 t) (* 2e-16 t) (* 2e-16 t)))) (cbrt (fma (* 2e-16 t) -2 (fma (* 2e-16 t) (* 2e-16 t) (* 2e-16 t)))))
311.0ms	(sqrt (fma (* 2e-16 t) -2 (fma (* 2e-16 t) (* 2e-16 t) (* 2e-16 t))))
172.0ms	(* (exp (fma (* 2e-16 t) -2 (fma (* 2e-16 t) (* 2e-16 t) (* 2e-16 t)))) (exp (* 2e-16 t)))
94.0ms	(- (* 3.9999999999999997e-32 (pow t 2)) (* 2e-16 t))
75.0ms	(+ (* 2e-16 t) (* 3.9999999999999997e-32 (pow t 2)))

prune272.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* t t) 3.9999999999999997e-32)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`add-sqr-sqrt` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`*-un-lft-identity` `add-cube-cbrt`
1×	`expm1-log1p-u` `associate-l` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 22

Calls

1 calls:

Slowest

18.0ms

(* (* t t) 3.9999999999999997e-32)

series40.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

40.0ms

(* (* t t) 3.9999999999999997e-32)

simplify612.0ms

Counts

13 → 25

Calls

13 calls:

Slowest

258.0ms	(* (* (* (* t t) (* t t)) (* t t)) (* (* 3.9999999999999997e-32 3.9999999999999997e-32) 3.9999999999999997e-32))
199.0ms	(* (* (* (* t t) t) (* (* t t) t)) (* (* 3.9999999999999997e-32 3.9999999999999997e-32) 3.9999999999999997e-32))
32.0ms	(+ (log (* t t)) (log 3.9999999999999997e-32))
21.0ms	(* 3.9999999999999997e-32 (pow t 2))
20.0ms	(* 3.9999999999999997e-32 (pow t 2))

prune159.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.2b	(* t (* t 3.9999999999999997e-32))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
1×	`expm1-log1p-u` `associate-r` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 21

Calls

1 calls:

Slowest

15.0ms

(* t (* t 3.9999999999999997e-32))

series36.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

36.0ms

(* t (* t 3.9999999999999997e-32))

simplify655.0ms

Counts

11 → 24

Calls

11 calls:

Slowest

360.0ms	(* (* (* t t) t) (* (* (* t 3.9999999999999997e-32) (* t 3.9999999999999997e-32)) (* t 3.9999999999999997e-32)))
201.0ms	(* (* (* t t) t) (* (* (* t t) t) (* (* 3.9999999999999997e-32 3.9999999999999997e-32) 3.9999999999999997e-32)))
19.0ms	(+ (log t) (log (* t 3.9999999999999997e-32)))
18.0ms	(* 3.9999999999999997e-32 (pow t 2))
15.0ms	(* 3.9999999999999997e-32 (pow t 2))

prune116.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (* t t) (sqrt 3.9999999999999997e-32))
0.2b	(* (* (* t t) (sqrt 3.9999999999999997e-32)) (sqrt 3.9999999999999997e-32))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`associate-r`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt`
7×	`sqrt-prod`
6×	`*-un-lft-identity` `add-cube-cbrt`
2×	`expm1-log1p-u` `associate-l` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

2 → 53

Calls

2 calls:

Slowest

77.0ms	(* (* (* t t) (sqrt 3.9999999999999997e-32)) (sqrt 3.9999999999999997e-32))
21.0ms	(* (* t t) (sqrt 3.9999999999999997e-32))

series166.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

86.0ms	(* (* t t) (sqrt 3.9999999999999997e-32))
79.0ms	(* (* (* t t) (sqrt 3.9999999999999997e-32)) (sqrt 3.9999999999999997e-32))

simplify2.3s

Counts

38 → 59

Calls

38 calls:

Slowest

535.0ms	(* (* (* (* (* t t) (* t t)) (* t t)) (* (* (sqrt 3.9999999999999997e-32) (sqrt 3.9999999999999997e-32)) (sqrt 3.9999999999999997e-32))) (* (* (sqrt 3.9999999999999997e-32) (sqrt 3.9999999999999997e-32)) (sqrt 3.9999999999999997e-32)))
497.0ms	(* (* (* (* (* t t) t) (* (* t t) t)) (* (* (sqrt 3.9999999999999997e-32) (sqrt 3.9999999999999997e-32)) (sqrt 3.9999999999999997e-32))) (* (* (sqrt 3.9999999999999997e-32) (sqrt 3.9999999999999997e-32)) (sqrt 3.9999999999999997e-32)))
404.0ms	(* (* (* (* t t) t) (* (* t t) t)) (* (* (sqrt 3.9999999999999997e-32) (sqrt 3.9999999999999997e-32)) (sqrt 3.9999999999999997e-32)))
165.0ms	(* (* (* (* t t) (* t t)) (* t t)) (* (* (sqrt 3.9999999999999997e-32) (sqrt 3.9999999999999997e-32)) (sqrt 3.9999999999999997e-32)))
130.0ms	(* (* (* (* (* t t) (sqrt 3.9999999999999997e-32)) (* (* t t) (sqrt 3.9999999999999997e-32))) (* (* t t) (sqrt 3.9999999999999997e-32))) (* (* (sqrt 3.9999999999999997e-32) (sqrt 3.9999999999999997e-32)) (sqrt 3.9999999999999997e-32)))

prune368.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes49.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch2.0ms

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.4s	6080×	body	160	valid
486.0ms	1920×	body	320	valid
222.0ms	8000×	pre	80	true