Details

sample229.0ms

Algorithm

intervals

Results

79.0ms	108×	body	1280	valid
73.0ms	88×	body	640	valid
27.0ms	267×	body	80	valid
11.0ms	37×	body	320	valid
6.0ms	27×	body	160	valid

simplify98.0ms

Counts: 1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite271.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

56.0ms	(+ (exp (- 0.0 im)) (exp im))
211.0ms	(* (* (/ 1.0 2.0) (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series150.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(+ (exp (- 0.0 im)) (exp im))
119.0ms	(* (* (/ 1.0 2.0) (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify48.0ms

Counts: 46 → 46

prune218.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 3 expressions with local error:

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

rewrite275.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-cbrt-cube`
15×	`add-exp-log`
14×	`associate-*l/`
13×	`pow1`
10×	`prod-exp` `cbrt-unprod`
8×	`associate-r`
6×	`pow-prod-down`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`exp-diff`
3×	`frac-add`
2×	`cbrt-undiv` `frac-times` `associate-r/` `div-exp` `associate-l` `exp-sum` `-commutative`
1×	`+-commutative` `sub-neg` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 61

Calls

3 calls:

94.0ms	(+ (* (* (/ 1.0 2.0) (sin re)) (exp (- 0.0 im))) (* (* (/ 1.0 2.0) (sin re)) (exp im)))
61.0ms	(* (* (/ 1.0 2.0) (sin re)) (exp im))
118.0ms	(* (* (/ 1.0 2.0) (sin re)) (exp (- 0.0 im)))

series264.0ms

Counts

3 → 9

Calls

3 calls:

144.0ms	(+ (* (* (/ 1.0 2.0) (sin re)) (exp (- 0.0 im))) (* (* (/ 1.0 2.0) (sin re)) (exp im)))
58.0ms	(* (* (/ 1.0 2.0) (sin re)) (exp im))
61.0ms	(* (* (/ 1.0 2.0) (sin re)) (exp (- 0.0 im)))

simplify75.0ms

Counts: 70 → 70

prune275.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite185.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-cbrt-cube`
23×	`add-exp-log`
14×	`prod-exp` `cbrt-unprod`
8×	`pow1`
7×	`cbrt-undiv` `div-exp`
5×	`add-log-exp`
4×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l/`
3×	`associate-r` `pow-prod-down`
1×	`+-commutative` `frac-2neg` `flip3-+` `times-frac` `associate-l` `frac-add` `clear-num` `associate-/r` `sum-log` `-commutative` `flip-+` `div-inv` `associate-/l*`

Counts

3 → 58

Calls

3 calls:

91.0ms	(+ (/ (* (* 1.0 (sin re)) (exp 0.0)) (* 2.0 (exp im))) (* (* (/ 1.0 2.0) (sin re)) (exp im)))
48.0ms	(* (* (/ 1.0 2.0) (sin re)) (exp im))
42.0ms	(/ (* (* 1.0 (sin re)) (exp 0.0)) (* 2.0 (exp im)))

series423.0ms

Counts

3 → 9

Calls

3 calls:

215.0ms	(+ (/ (* (* 1.0 (sin re)) (exp 0.0)) (* 2.0 (exp im))) (* (* (/ 1.0 2.0) (sin re)) (exp im)))
75.0ms	(* (* (/ 1.0 2.0) (sin re)) (exp im))
133.0ms	(/ (* (* 1.0 (sin re)) (exp 0.0)) (* 2.0 (exp im)))

simplify98.0ms

Counts: 67 → 67

prune231.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

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

rewrite353.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-exp-log`
29×	`pow1`
25×	`cbrt-prod`
24×	`add-sqr-sqrt`
21×	`prod-exp` `cbrt-unprod`
20×	`add-cbrt-cube`
16×	`add-cube-cbrt` `*-un-lft-identity`
15×	`pow-prod-down`
12×	`associate-r`
8×	`pow1/3`
7×	`associate-l`
6×	`swap-sqr`
4×	`add-log-exp` `unswap-sqr`
3×	`associate-*l/`
2×	`cbrt-undiv` `div-exp` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 97

Calls

4 calls:

2.0ms	(cbrt (exp im))
3.0ms	(cbrt (exp im))
310.0ms	(* (* (* (/ 1.0 2.0) (sin re)) (* (cbrt (exp im)) (cbrt (exp im)))) (cbrt (exp im)))
34.0ms	(* (cbrt (exp im)) (cbrt (exp im)))

series463.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(cbrt (exp im))
122.0ms	(cbrt (exp im))
67.0ms	(* (* (* (/ 1.0 2.0) (sin re)) (* (cbrt (exp im)) (cbrt (exp im)))) (cbrt (exp im)))
152.0ms	(* (cbrt (exp im)) (cbrt (exp im)))

simplify59.0ms

Counts: 109 → 109

prune422.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes134.0ms

Accuracy

-102.6% (0.0b remaining)

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

bsearch0.0ms

simplify83.0ms

end0.0ms

sample7.1s

Algorithm

intervals

Results

2.6s	2948×	body	1280	valid
2.0s	8507×	body	80	valid
1.2s	2491×	body	640	valid
421.0ms	1184×	body	320	valid
204.0ms	591×	body	160	valid