Details

Time bar (total: 1.1m)

sample249.0ms

Algorithm
intervals
Results
92.0ms92×body1280valid
72.0ms85×body640valid
44.0ms303×body80valid
17.0ms39×body320valid
4.0ms15×body160valid

simplify164.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
164.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma (sin re) (exp im) (/ (sin re) (exp im)))
0.0b
(/ (sin re) (exp im))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
4×add-cbrt-cube
3×associate-/r* add-exp-log associate-/l*
2×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
1×cbrt-undiv clear-num frac-2neg div-exp fma-udef div-inv
Counts
2 → 41
Calls
2 calls:
Slowest
11.0ms
(/ (sin re) (exp im))
2.0ms
(fma (sin re) (exp im) (/ (sin re) (exp im)))

series149.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
117.0ms
(fma (sin re) (exp im) (/ (sin re) (exp im)))
32.0ms
(/ (sin re) (exp im))

simplify1.6s

Counts
31 → 47
Calls
31 calls:
Slowest
472.0ms
(/ (* (* (sin re) (sin re)) (sin re)) (* (* (exp im) (exp im)) (exp im)))
426.0ms
(- (+ (* 2 re) (* re (pow im 2))) (* 1/3 (pow re 3)))
403.0ms
(- re (+ (* re im) (* 1/6 (pow re 3))))
62.0ms
(/ (* (cbrt (sin re)) (cbrt (sin re))) (* (cbrt (exp im)) (cbrt (exp im))))
27.0ms
(/ (* (cbrt (sin re)) (cbrt (sin re))) (sqrt (exp im)))

prune530.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))
0.0b
(+ (exp (- 0 im)) (exp im))

rewrite189.0ms

Algorithm
rewrite-expression-head
Rules
14×fma-def *-un-lft-identity
11×exp-sum
10×add-sqr-sqrt add-cube-cbrt
9×prod-diff
7×pow1 add-cbrt-cube add-exp-log
4×associate-*r* add-log-exp
3×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-+ associate-*r/ flip-+ insert-posit16 log1p-expm1-u distribute-lft-out
1×distribute-rgt-in +-commutative sum-log sub-neg distribute-lft-in associate-*l* *-commutative
Counts
2 → 55
Calls
2 calls:
Slowest
129.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))
59.0ms
(+ (exp (- 0 im)) (exp im))

series121.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
93.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))
28.0ms
(+ (exp (- 0 im)) (exp im))

simplify3.1s

Counts
35 → 61
Calls
35 calls:
Slowest
387.0ms
(* (* (* (* 0.5 0.5) 0.5) (* (* (sin re) (sin re)) (sin re))) (* (* (+ (exp (- 0 im)) (exp im)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im))))
340.0ms
(* (* (* (* 0.5 (sin re)) (* 0.5 (sin re))) (* 0.5 (sin re))) (* (* (+ (exp (- 0 im)) (exp im)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im))))
244.0ms
(+ (* (exp (- 0 im)) (exp (- 0 im))) (- (* (exp im) (exp im)) (* (exp (- 0 im)) (exp im))))
238.0ms
(* 0.5 (* (sin re) (+ (exp im) (exp (* -1 im)))))
200.0ms
(- (+ (* 1.0 re) (* 0.5 (* re (pow im 2)))) (* 0.16666666666666666 (pow re 3)))

prune649.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (* (* (+ (exp (- 0 im)) (exp im)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im))))
0.0b
(* (+ (exp (- 0 im)) (exp im)) (+ (exp (- 0 im)) (exp im)))
0.0b
(* (* (+ (exp (- 0 im)) (exp im)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im)))
0.0b
(* (* 0.5 (sin re)) (cbrt (* (* (+ (exp (- 0 im)) (exp im)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im)))))

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
88×frac-times
87×flip3-+ flip-+
52×cbrt-div associate-*r/
44×associate-*l/
35×pow1
26×*-un-lft-identity
16×add-exp-log
14×add-cbrt-cube
13×add-sqr-sqrt
12×associate-*r*
10×add-cube-cbrt
7×pow-plus pow-prod-down prod-exp pow-prod-up cbrt-unprod distribute-lft-out
6×swap-sqr associate-*l*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×pow2 pow-sqr *-commutative
2×cbrt-prod distribute-rgt-in distribute-lft-in pow3 unswap-sqr
1×pow1/3 rem-cbrt-cube
Counts
4 → 190
Calls
4 calls:
Slowest
411.0ms
(* (* (+ (exp (- 0 im)) (exp im)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im)))
313.0ms
(* (+ (exp (- 0 im)) (exp im)) (+ (exp (- 0 im)) (exp im)))
239.0ms
(cbrt (* (* (+ (exp (- 0 im)) (exp im)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im))))
126.0ms
(* (* 0.5 (sin re)) (cbrt (* (* (+ (exp (- 0 im)) (exp im)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im)))))

series317.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
104.0ms
(* (* 0.5 (sin re)) (cbrt (* (* (+ (exp (- 0 im)) (exp im)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im)))))
95.0ms
(* (* (+ (exp (- 0 im)) (exp im)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im)))
73.0ms
(* (+ (exp (- 0 im)) (exp im)) (+ (exp (- 0 im)) (exp im)))
45.0ms
(cbrt (* (* (+ (exp (- 0 im)) (exp im)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im))))

simplify48.1s

Counts
188 → 202
Calls
188 calls:
Slowest
877.0ms
(* (* (- (* (exp (- 0 im)) (exp (- 0 im))) (* (exp im) (exp im))) (- (* (exp (- 0 im)) (exp (- 0 im))) (* (exp im) (exp im)))) (+ (exp (- 0 im)) (exp im)))
818.0ms
(* (* (- (* (exp (- 0 im)) (exp (- 0 im))) (* (exp im) (exp im))) (- (* (exp (- 0 im)) (exp (- 0 im))) (* (exp im) (exp im)))) (- (* (exp (- 0 im)) (exp (- 0 im))) (* (exp im) (exp im))))
812.0ms
(cbrt (* (* (- (* (exp (- 0 im)) (exp (- 0 im))) (* (exp im) (exp im))) (- (* (exp (- 0 im)) (exp (- 0 im))) (* (exp im) (exp im)))) (+ (exp (- 0 im)) (exp im))))
790.0ms
(* (* (- (exp (- 0 im)) (exp im)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)))
788.0ms
(cbrt (* (* (- (* (exp (- 0 im)) (exp (- 0 im))) (* (exp im) (exp im))) (- (* (exp (- 0 im)) (exp (- 0 im))) (* (exp im) (exp im)))) (- (* (exp (- 0 im)) (exp (- 0 im))) (* (exp im) (exp im)))))

prune2.9s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes233.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample9.0s

Algorithm
intervals
Results
3.6s2923×body1280valid
2.3s2521×body640valid
1.5s8571×body80valid
632.0ms1222×body320valid
614.0ms616×body160valid