Details

Time bar (total: 26.9s)

sample245.0ms

Algorithm
intervals
Results
104.0ms91×body1280valid
64.0ms99×body640valid
37.0ms281×body80valid
13.0ms34×body320valid
4.0ms16×body160valid

simplify208.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
207.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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
10.0ms
(/ (sin re) (exp im))
0.0ms
(fma (sin re) (exp im) (/ (sin re) (exp im)))

series122.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
77.0ms
(fma (sin re) (exp im) (/ (sin re) (exp im)))
45.0ms
(/ (sin re) (exp im))

simplify1.2s

Counts
31 → 47
Calls
31 calls:
Slowest
393.0ms
(- re (+ (* re im) (* 1/6 (pow re 3))))
312.0ms
(/ (* (* (sin re) (sin re)) (sin re)) (* (* (exp im) (exp im)) (exp im)))
198.0ms
(- (+ (* 2 re) (* re (pow im 2))) (* 1/3 (pow re 3)))
55.0ms
(/ (* (cbrt (sin re)) (cbrt (sin re))) (* (cbrt (exp im)) (cbrt (exp im))))
31.0ms
(/ (* (cbrt (sin re)) (cbrt (sin re))) (sqrt (exp im)))

prune475.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (sqrt (exp im)))
0.0b
(/ (sin re) (sqrt (exp im)))
0.0b
(sqrt (exp im))
0.0b
(sqrt (exp im))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
39×*-un-lft-identity add-cube-cbrt
36×times-frac
30×sqrt-prod
12×associate-/r* sqrt-pow1
10×add-exp-log
9×exp-prod
8×pow1 add-cbrt-cube
6×pow-flip associate-/l*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×pow1/2 div-exp
2×cbrt-undiv rem-sqrt-square clear-num frac-2neg div-inv
1×rec-exp 1-exp inv-pow
Counts
4 → 131
Calls
4 calls:
Slowest
10.0ms
(/ (sin re) (sqrt (exp im)))
7.0ms
(/ 1 (sqrt (exp im)))
3.0ms
(sqrt (exp im))
2.0ms
(sqrt (exp im))

series128.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
61.0ms
(/ (sin re) (sqrt (exp im)))
23.0ms
(sqrt (exp im))
22.0ms
(sqrt (exp im))
22.0ms
(/ 1 (sqrt (exp im)))

simplify2.5s

Counts
127 → 143
Calls
127 calls:
Slowest
453.0ms
(/ (* (* (sin re) (sin re)) (sin re)) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im))))
215.0ms
(- re (+ (* 1/2 (* re im)) (* 1/6 (pow re 3))))
117.0ms
(/ (* (* 1 1) 1) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im))))
117.0ms
(- (+ (* 1/8 (pow im 2)) 1) (* 1/2 im))
78.0ms
(+ (* 1/8 (pow im 2)) (+ (* 1/2 im) 1))

prune1.8s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

19.9b
(cbrt (* (* (fma (sin re) (exp im) (/ (sin re) (exp im))) (fma (sin re) (exp im) (/ (sin re) (exp im)))) (fma (sin re) (exp im) (/ (sin re) (exp im)))))
0.2b
(* (fma (sin re) (exp im) (/ (sin re) (exp im))) (fma (sin re) (exp im) (/ (sin re) (exp im))))
0.2b
(* (* (fma (sin re) (exp im) (/ (sin re) (exp im))) (fma (sin re) (exp im) (/ (sin re) (exp im)))) (fma (sin re) (exp im) (/ (sin re) (exp im))))
0.0b
(/ (sin re) (exp im))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
30×pow1
20×add-sqr-sqrt
17×*-un-lft-identity add-cube-cbrt
13×add-cbrt-cube
12×add-exp-log
9×times-frac
7×pow-plus pow-prod-up
6×associate-*r*
4×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod fma-udef insert-posit16 log1p-expm1-u add-log-exp
3×pow2 associate-/r* swap-sqr pow-sqr associate-/l*
2×distribute-rgt-in distribute-lft-in pow3 *-commutative unswap-sqr
1×cbrt-prod cbrt-undiv clear-num frac-2neg pow1/3 div-exp rem-cbrt-cube div-inv
Counts
4 → 106
Calls
4 calls:
Slowest
31.0ms
(* (* (fma (sin re) (exp im) (/ (sin re) (exp im))) (fma (sin re) (exp im) (/ (sin re) (exp im)))) (fma (sin re) (exp im) (/ (sin re) (exp im))))
18.0ms
(/ (sin re) (exp im))
15.0ms
(cbrt (* (* (fma (sin re) (exp im) (/ (sin re) (exp im))) (fma (sin re) (exp im) (/ (sin re) (exp im)))) (fma (sin re) (exp im) (/ (sin re) (exp im)))))
11.0ms
(* (fma (sin re) (exp im) (/ (sin re) (exp im))) (fma (sin re) (exp im) (/ (sin re) (exp im))))

series414.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
133.0ms
(* (fma (sin re) (exp im) (/ (sin re) (exp im))) (fma (sin re) (exp im) (/ (sin re) (exp im))))
123.0ms
(* (* (fma (sin re) (exp im) (/ (sin re) (exp im))) (fma (sin re) (exp im) (/ (sin re) (exp im)))) (fma (sin re) (exp im) (/ (sin re) (exp im))))
118.0ms
(cbrt (* (* (fma (sin re) (exp im) (/ (sin re) (exp im))) (fma (sin re) (exp im) (/ (sin re) (exp im)))) (fma (sin re) (exp im) (/ (sin re) (exp im)))))
40.0ms
(/ (sin re) (exp im))

simplify9.1s

Counts
89 → 118
Calls
89 calls:
Slowest
1.6s
(* (* (* (* (fma (sin re) (exp im) (/ (sin re) (exp im))) (fma (sin re) (exp im) (/ (sin re) (exp im)))) (fma (sin re) (exp im) (/ (sin re) (exp im)))) (* (* (fma (sin re) (exp im) (/ (sin re) (exp im))) (fma (sin re) (exp im) (/ (sin re) (exp im)))) (fma (sin re) (exp im) (/ (sin re) (exp im))))) (* (* (fma (sin re) (exp im) (/ (sin re) (exp im))) (fma (sin re) (exp im) (/ (sin re) (exp im)))) (fma (sin re) (exp im) (/ (sin re) (exp im)))))
757.0ms
(* (* (fma (sin re) (exp im) (/ (sin re) (exp im))) (fma (sin re) (exp im) (/ (sin re) (exp im)))) (fma (sin re) (exp im) (/ (sin re) (exp im))))
747.0ms
(* (* (fma (sin re) (exp im) (/ (sin re) (exp im))) (fma (sin re) (exp im) (/ (sin re) (exp im)))) (fma (sin re) (exp im) (/ (sin re) (exp im))))
489.0ms
(* (* (* (fma (sin re) (exp im) (/ (sin re) (exp im))) (fma (sin re) (exp im) (/ (sin re) (exp im)))) (fma (sin re) (exp im) (/ (sin re) (exp im)))) (* (* (fma (sin re) (exp im) (/ (sin re) (exp im))) (fma (sin re) (exp im) (/ (sin re) (exp im)))) (fma (sin re) (exp im) (/ (sin re) (exp im)))))
464.0ms
(/ (* (* (sin re) (sin re)) (sin re)) (* (* (exp im) (exp im)) (exp im)))

prune1.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes110.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample9.1s

Algorithm
intervals
Results
4.1s2974×body1280valid
2.3s2503×body640valid
1.3s8553×body80valid
732.0ms1323×body320valid
304.0ms648×body160valid