Details

sample69.0ms

Algorithm

intervals

Results

38.0ms	196×	body	160	valid
12.0ms	60×	body	320	valid
8.0ms	256×	pre	80	true

simplify230.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

229.0ms

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 50.4b

localize23.0ms

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))

rewrite11.0ms

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))

series500.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

212.0ms	(+ (fma (* 2e-16 t) -2 (fma (* 2e-16 t) (* 2e-16 t) (* 2e-16 t))) (* 2e-16 t))
165.0ms	(fma (* 2e-16 t) -2 (fma (* 2e-16 t) (* 2e-16 t) (* 2e-16 t)))
123.0ms	(fma (* 2e-16 t) (* 2e-16 t) (* 2e-16 t))

simplify1.2s

Counts

13 → 49

Calls

13 calls:

Slowest

297.0ms	(sqrt (fma (* 2e-16 t) -2 (fma (* 2e-16 t) (* 2e-16 t) (* 2e-16 t))))
295.0ms	(* (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)))))
165.0ms	(* (exp (fma (* 2e-16 t) -2 (fma (* 2e-16 t) (* 2e-16 t) (* 2e-16 t)))) (exp (* 2e-16 t)))
86.0ms	(- (* 3.9999999999999997e-32 (pow t 2)) (* 2e-16 t))
73.0ms	(+ (* 2e-16 t) (* 3.9999999999999997e-32 (pow t 2)))

prune231.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite15.0ms

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

15.0ms

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

series42.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

42.0ms

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

simplify555.0ms

Counts

13 → 25

Calls

13 calls:

Slowest

222.0ms	(* (* (* (* t t) t) (* (* t t) t)) (* (* 3.9999999999999997e-32 3.9999999999999997e-32) 3.9999999999999997e-32))
219.0ms	(* (* (* (* t t) (* t t)) (* t t)) (* (* 3.9999999999999997e-32 3.9999999999999997e-32) 3.9999999999999997e-32))
27.0ms	(+ (+ (log t) (log t)) (log 3.9999999999999997e-32))
20.0ms	(+ (log (* t t)) (log 3.9999999999999997e-32))
11.0ms	(* 3.9999999999999997e-32 (pow t 2))

prune148.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite88.0ms

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

63.0ms	(* (* (* t t) (sqrt 3.9999999999999997e-32)) (sqrt 3.9999999999999997e-32))
24.0ms	(* (* t t) (sqrt 3.9999999999999997e-32))

series142.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

76.0ms	(* (* (* t t) (sqrt 3.9999999999999997e-32)) (sqrt 3.9999999999999997e-32))
66.0ms	(* (* t t) (sqrt 3.9999999999999997e-32))

simplify2.4s

Counts

38 → 59

Calls

38 calls:

Slowest

571.0ms	(* (* (* (* (* 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)))
459.0ms	(* (* (* (* (* 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)))
445.0ms	(* (* (* (* t t) t) (* (* t t) t)) (* (* (sqrt 3.9999999999999997e-32) (sqrt 3.9999999999999997e-32)) (sqrt 3.9999999999999997e-32)))
172.0ms	(* (* (* (* (* 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)))
164.0ms	(* (* (* (* t t) (* t t)) (* t t)) (* (* (sqrt 3.9999999999999997e-32) (sqrt 3.9999999999999997e-32)) (sqrt 3.9999999999999997e-32)))

prune422.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 73

Calls

3 calls:

Slowest

65.0ms	(* (* t (* t (sqrt 3.9999999999999997e-32))) (sqrt 3.9999999999999997e-32))
34.0ms	(* t (* t (sqrt 3.9999999999999997e-32)))
14.0ms	(* t (sqrt 3.9999999999999997e-32))

series246.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

130.0ms	(* (* t (* t (sqrt 3.9999999999999997e-32))) (sqrt 3.9999999999999997e-32))
60.0ms	(* t (* t (sqrt 3.9999999999999997e-32)))
56.0ms	(* t (sqrt 3.9999999999999997e-32))

simplify2.0s

Counts

48 → 82

Calls

48 calls:

Slowest

429.0ms	(* (* (* t t) t) (* (* (* t t) t) (* (* (sqrt 3.9999999999999997e-32) (sqrt 3.9999999999999997e-32)) (sqrt 3.9999999999999997e-32))))
263.0ms	(* (* (* t t) t) (* (* (* t (sqrt 3.9999999999999997e-32)) (* t (sqrt 3.9999999999999997e-32))) (* t (sqrt 3.9999999999999997e-32))))
184.0ms	(* (* (* t t) t) (* (* (sqrt 3.9999999999999997e-32) (sqrt 3.9999999999999997e-32)) (sqrt 3.9999999999999997e-32)))
180.0ms	(* (* (* (* t t) t) (* (* (* t (sqrt 3.9999999999999997e-32)) (* t (sqrt 3.9999999999999997e-32))) (* t (sqrt 3.9999999999999997e-32)))) (* (* (sqrt 3.9999999999999997e-32) (sqrt 3.9999999999999997e-32)) (sqrt 3.9999999999999997e-32)))
162.0ms	(* (* (* (* 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)))

prune560.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes57.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch1.0ms

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.1s	5966×	body	160	valid
701.0ms	8000×	pre	80	true
504.0ms	2034×	body	320	valid