Details

sample256.0ms

Algorithm

intervals

Results

93.0ms	95×	body	1280	valid
66.0ms	277×	body	80	valid
53.0ms	80×	body	640	valid
20.0ms	46×	body	320	valid
6.0ms	20×	body	160	valid

simplify174.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

174.0ms

(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 0.5 (exp im))
0.0b	(* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re))
0.0b	(+ (/ 0.5 (exp im)) (* (exp im) 0.5))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

Slowest

54.0ms	(* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re))
15.0ms	(+ (/ 0.5 (exp im)) (* (exp im) 0.5))
5.0ms	(/ 0.5 (exp im))

series218.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

108.0ms	(+ (/ 0.5 (exp im)) (* (exp im) 0.5))
95.0ms	(* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re))
15.0ms	(/ 0.5 (exp im))

simplify2.3s

Counts

47 → 70

Calls

47 calls:

Slowest

461.0ms	(/ (* (* 0.5 0.5) 0.5) (* (* (exp im) (exp im)) (exp im)))
338.0ms	(* (+ (pow (/ 0.5 (exp im)) 3) (pow (* (exp im) 0.5) 3)) (cos re))
197.0ms	(* (- (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (* (* (exp im) 0.5) (* (exp im) 0.5))) (cos re))
176.0ms	(- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2)))
162.0ms	(* (exp (/ 0.5 (exp im))) (exp (* (exp im) 0.5)))

prune772.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (- (log 0.5) im))
0.0b	(- (log 0.5) im)
0.0b	(* (+ (exp (- (log 0.5) im)) (* (exp im) 0.5)) (cos re))
0.0b	(+ (exp (- (log 0.5) im)) (* (exp im) 0.5))

rewrite242.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`add-cube-cbrt` `add-log-exp`
8×	`pow1`
6×	`log-prod` `exp-prod` `add-cbrt-cube` `associate--l+` `add-exp-log`
5×	`exp-sum`
4×	`insert-posit16` `distribute-lft-out--`
3×	`associate-r` `associate-l`
2×	`sub-neg` `flip3-+` `diff-log` `associate-*l/` `log-pow` `flip-+` `difference-of-squares` `rem-exp-log`
1×	`+-commutative` `sum-log` `flip3--` `exp-diff` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip--` `unswap-sqr`

Counts

4 → 74

Calls

4 calls:

Slowest

165.0ms	(* (+ (exp (- (log 0.5) im)) (* (exp im) 0.5)) (cos re))
51.0ms	(+ (exp (- (log 0.5) im)) (* (exp im) 0.5))
13.0ms	(exp (- (log 0.5) im))
12.0ms	(- (log 0.5) im)

series541.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

266.0ms	(- (log 0.5) im)
141.0ms	(* (+ (exp (- (log 0.5) im)) (* (exp im) 0.5)) (cos re))
112.0ms	(+ (exp (- (log 0.5) im)) (* (exp im) 0.5))
22.0ms	(exp (- (log 0.5) im))

simplify2.6s

Counts

46 → 86

Calls

46 calls:

Slowest

348.0ms	(* (+ (pow (exp (- (log 0.5) im)) 3) (pow (* (exp im) 0.5) 3)) (cos re))
301.0ms	(* (exp (exp (- (log 0.5) im))) (exp (* (exp im) 0.5)))
269.0ms	(* (- (* (exp (- (log 0.5) im)) (exp (- (log 0.5) im))) (* (* (exp im) 0.5) (* (exp im) 0.5))) (cos re))
174.0ms	(* (* (* (+ (exp (- (log 0.5) im)) (* (exp im) 0.5)) (+ (exp (- (log 0.5) im)) (* (exp im) 0.5))) (+ (exp (- (log 0.5) im)) (* (exp im) 0.5))) (* (* (cos re) (cos re)) (cos re)))
145.0ms	(* (+ (* 0.5 (exp im)) (exp (- (log 0.5) im))) (cos re))

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (cos re) (exp im))
0.0b	(* (exp im) (cos re))
0.0b	(+ (/ (cos re) (exp im)) (* (exp im) (cos re)))

rewrite77.0ms

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`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`

Counts

3 → 59

Calls

3 calls:

Slowest

30.0ms	(+ (/ (cos re) (exp im)) (* (exp im) (cos re)))
28.0ms	(* (exp im) (cos re))
18.0ms	(/ (cos re) (exp im))

series194.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

94.0ms	(+ (/ (cos re) (exp im)) (* (exp im) (cos re)))
60.0ms	(* (exp im) (cos re))
40.0ms	(/ (cos re) (exp im))

simplify1.5s

Counts

45 → 68

Calls

45 calls:

Slowest

394.0ms	(/ (* (* (cos re) (cos re)) (cos re)) (* (* (exp im) (exp im)) (exp im)))
332.0ms	(* (* (* (exp im) (exp im)) (exp im)) (* (* (cos re) (cos re)) (cos re)))
168.0ms	(* (exp (/ (cos re) (exp im))) (exp (* (exp im) (cos re))))
118.0ms	(- 1 (+ (* 1/2 (pow re 2)) im))
72.0ms	(- (+ (pow im 2) 2) (pow re 2))

prune720.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes96.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample8.3s

Algorithm

intervals

Results

3.8s	3023×	body	1280	valid
1.9s	2498×	body	640	valid
1.3s	8423×	body	80	valid
753.0ms	1226×	body	320	valid
245.0ms	630×	body	160	valid