Details

sample213.0ms

Algorithm

intervals

Results

76.0ms	88×	body	1280	valid
50.0ms	256×	body	80	valid
47.0ms	75×	body	640	valid
18.0ms	43×	body	320	valid
5.0ms	20×	body	160	valid

simplify1.0s

Counts: 1 → 1

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 3 expressions with local error:

0.3b	(* (sin re) (exp im))
0.0b	(/ (sin re) (exp im))
0.0b	(+ (* (sin re) (exp im)) (/ (sin re) (exp im)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`add-cbrt-cube`
5×	`pow1` `add-exp-log` `add-log-exp`
3×	`associate-/r` `associate-r` `associate-l` `insert-posit16` `associate-/l`
2×	`div-inv`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

3 → 60

Calls

3 calls:

Slowest

15.0ms	(+ (* (sin re) (exp im)) (/ (sin re) (exp im)))
13.0ms	(* (sin re) (exp im))
9.0ms	(/ (sin re) (exp im))

series198.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

89.0ms	(+ (* (sin re) (exp im)) (/ (sin re) (exp im)))
79.0ms	(* (sin re) (exp im))
29.0ms	(/ (sin re) (exp im))

simplify792.0ms

Counts: 69 → 69

prune747.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize38.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (sin re) (+ (exp im) (/ 1 (exp im))))
0.0b	(/ 1 (exp im))
0.0b	(+ (exp im) (/ 1 (exp im)))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
14×	`add-cube-cbrt`
9×	`times-frac`
7×	`add-cbrt-cube`
6×	`pow1` `add-exp-log`
5×	`associate-r` `add-log-exp`
4×	`pow-flip` `distribute-lft-out`
3×	`exp-prod` `associate-/r` `associate-l` `insert-posit16` `div-inv` `associate-/l`
2×	`flip3-+` `div-exp` `associate-*r/` `flip-+`
1×	`distribute-rgt-in` `cbrt-undiv` `+-commutative` `rec-exp` `clear-num` `sum-log` `frac-2neg` `distribute-lft-in` `1-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

3 → 74

Calls

3 calls:

Slowest

72.0ms	(* (sin re) (+ (exp im) (/ 1 (exp im))))
12.0ms	(+ (exp im) (/ 1 (exp im)))
6.0ms	(/ 1 (exp im))

series143.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

94.0ms	(* (sin re) (+ (exp im) (/ 1 (exp im))))
33.0ms	(+ (exp im) (/ 1 (exp im)))
15.0ms	(/ 1 (exp im))

simplify1.7s

Counts: 83 → 83

prune769.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sin re) (cbrt (* (* (+ (exp im) (/ 1 (exp im))) (+ (exp im) (/ 1 (exp im)))) (+ (exp im) (/ 1 (exp im))))))
0.0b	(/ 1 (exp im))
0.0b	(/ 1 (exp im))
0.0b	(/ 1 (exp im))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
34×	`associate-*r/`
33×	`*-un-lft-identity` `add-cube-cbrt`
28×	`frac-times`
27×	`flip3-+` `times-frac` `flip-+`
26×	`cbrt-div`
14×	`associate-*l/`
12×	`pow-flip`
11×	`add-cbrt-cube`
9×	`pow1` `exp-prod` `associate-/r` `add-exp-log` `associate-/l`
6×	`div-exp`
4×	`associate-r` `insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-l` `div-inv` `inv-pow`
1×	`cbrt-prod` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 151

Calls

4 calls:

Slowest

60.0ms	(* (sin re) (cbrt (* (* (+ (exp im) (/ 1 (exp im))) (+ (exp im) (/ 1 (exp im)))) (+ (exp im) (/ 1 (exp im))))))
12.0ms	(/ 1 (exp im))
12.0ms	(/ 1 (exp im))
9.0ms	(/ 1 (exp im))

series105.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

78.0ms	(* (sin re) (cbrt (* (* (+ (exp im) (/ 1 (exp im))) (+ (exp im) (/ 1 (exp im)))) (+ (exp im) (/ 1 (exp im))))))
9.0ms	(/ 1 (exp im))
9.0ms	(/ 1 (exp im))
9.0ms	(/ 1 (exp im))

simplify889.0ms

Counts: 163 → 163

prune2.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.2b

regimes90.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample8.8s

Algorithm

intervals

Results

3.4s	3032×	body	1280	valid
2.6s	2485×	body	640	valid
1.5s	8596×	body	80	valid
723.0ms	1287×	body	320	valid
201.0ms	555×	body	160	valid