Details

sample265.0ms

Algorithm

intervals

Results

117.0ms	158×	body	1280	valid
80.0ms	130×	body	640	valid
15.0ms	52×	body	320	valid
14.0ms	143×	body	80	valid
9.0ms	44×	body	160	valid

simplify92.0ms

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.7b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* (/ 1.0 2.0) (sin re)) (- (exp (- im)) (exp im)))
8.1b	(- (exp (- im)) (exp im))

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-exp-log` `add-cbrt-cube`
7×	`pow1` `add-sqr-sqrt` `*-un-lft-identity`
5×	`associate-r` `prod-exp` `cbrt-unprod`
4×	`associate-*l/` `add-log-exp`
3×	`add-cube-cbrt` `sub-neg` `flip3--` `pow-prod-down` `flip--`
2×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `associate-*r/` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-undiv` `diff-log` `div-exp` `associate-l` `*-commutative`

Counts

2 → 45

Calls

2 calls:

126.0ms	(* (* (/ 1.0 2.0) (sin re)) (- (exp (- im)) (exp im)))
74.0ms	(- (exp (- im)) (exp im))

series138.0ms

Counts

2 → 6

Calls

2 calls:

94.0ms	(* (* (/ 1.0 2.0) (sin re)) (- (exp (- im)) (exp im)))
44.0ms	(- (exp (- im)) (exp im))

simplify45.0ms

Counts: 51 → 51

prune244.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
0.1b	(* 1/60 (pow im 5))
0.1b	(* (* (/ 1.0 2.0) (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
0.1b	(* 1/3 (pow im 3))

rewrite279.0ms

Algorithm

rewrite-expression-head

Rules

29×	`associate-r`
26×	`add-sqr-sqrt`
23×	`add-exp-log`
17×	`add-cbrt-cube`
14×	`add-cube-cbrt` `*-un-lft-identity`
11×	`prod-exp`
9×	`pow1` `add-log-exp`
8×	`unpow-prod-down`
7×	`associate-l` `cbrt-unprod` `unswap-sqr`
4×	`cube-prod` `associate-*l/` `distribute-neg-frac` `sqr-pow`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `flip3-+` `pow-prod-down` `sum-log` `*-commutative` `flip-+`
2×	`frac-times` `pow-to-exp` `distribute-neg-in` `associate-*r/` `pow-exp`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `cube-mult` `neg-mul-1` `associate-+r+` `distribute-lft-in` `unpow3` `div-exp` `distribute-rgt-neg-out`

Counts

4 → 104

Calls

4 calls:

43.0ms	(+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
19.0ms	(* 1/60 (pow im 5))
191.0ms	(* (* (/ 1.0 2.0) (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
23.0ms	(* 1/3 (pow im 3))

series468.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
84.0ms	(* 1/60 (pow im 5))
256.0ms	(* (* (/ 1.0 2.0) (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
47.0ms	(* 1/3 (pow im 3))

simplify89.0ms

Counts: 116 → 116

prune665.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sin re) (pow im 5))
0.1b	(* (/ 6004799503160661.0 3.602879701896397e+16) (* (sin re) (pow im 3)))
0.1b	(* (sin re) im)
0.1b	(* (sin re) (pow im 3))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-exp-log`
34×	`add-sqr-sqrt`
23×	`associate-r`
22×	`associate-l` `add-cbrt-cube`
21×	`prod-exp`
20×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac` `cbrt-unprod`
8×	`pow1` `unpow-prod-down` `unswap-sqr`
4×	`pow-to-exp` `cube-prod` `div-exp` `pow-exp` `*-commutative` `add-log-exp` `sqr-pow`
2×	`cbrt-undiv` `pow-prod-down`
1×	`cube-mult` `unpow3` `associate-*l/` `div-inv`

Counts

4 → 110

Calls

4 calls:

28.0ms	(* (sin re) (pow im 5))
57.0ms	(* (/ 6004799503160661.0 3.602879701896397e+16) (* (sin re) (pow im 3)))
10.0ms	(* (sin re) im)
17.0ms	(* (sin re) (pow im 3))

series520.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(* (sin re) (pow im 5))
143.0ms	(* (/ 6004799503160661.0 3.602879701896397e+16) (* (sin re) (pow im 3)))
77.0ms	(* (sin re) im)
115.0ms	(* (sin re) (pow im 3))

simplify64.0ms

Counts: 122 → 122

prune653.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin re)) (cbrt (sin re)))
0.6b	(cbrt (sin re))
0.6b	(cbrt (sin re))
0.6b	(cbrt (sin re))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

26.0ms	(* (cbrt (sin re)) (cbrt (sin re)))
3.0ms	(cbrt (sin re))
3.0ms	(cbrt (sin re))
3.0ms	(cbrt (sin re))

series633.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(* (cbrt (sin re)) (cbrt (sin re)))
135.0ms	(cbrt (sin re))
159.0ms	(cbrt (sin re))
137.0ms	(cbrt (sin re))

simplify71.0ms

Counts: 85 → 85

prune547.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

regimes366.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify78.0ms

end0.0ms

sample10.2s

Algorithm

intervals

Results

5.9s	4745×	body	1280	valid
2.1s	3753×	body	640	valid
786.0ms	1803×	body	320	valid
482.0ms	4465×	body	80	valid
255.0ms	955×	body	160	valid