Details

Time bar (total: 25.2s)

sample229.0ms

Algorithm
intervals
Results
84.0ms91×body1280valid
64.0ms79×body640valid
39.0ms289×body80valid
15.0ms36×body320valid
5.0ms20×body160valid

simplify587.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
587.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
7×add-cbrt-cube
5×add-exp-log
4×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
3×associate-/r* times-frac
2×expm1-log1p-u pow1 cbrt-undiv div-exp insert-posit16 log1p-expm1-u add-log-exp
1×clear-num frac-2neg prod-exp cbrt-unprod fma-udef div-inv associate-/l*
Counts
2 → 35
Calls
2 calls:
Slowest
24.0ms
(/ (* 0.5 (cos re)) (exp im))
0.0ms
(fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))

series193.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
121.0ms
(fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))
72.0ms
(/ (* 0.5 (cos re)) (exp im))

simplify1.2s

Counts
19 → 41
Calls
19 calls:
Slowest
225.0ms
(/ (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (exp im) (exp im)) (exp im)))
211.0ms
(- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2)))
202.0ms
(- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im)))
183.0ms
(/ (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (exp im) (exp im)) (exp im)))
68.0ms
(+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im))))

prune424.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ 0.5 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))))
0.0b
(/ (cos re) (sqrt (exp im)))
0.0b
(fma (exp im) (* 0.5 (cos re)) (* (/ 0.5 (sqrt (exp im))) (/ (cos re) (sqrt (exp im)))))
0.0b
(/ 0.5 (sqrt (exp im)))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
90×add-sqr-sqrt
84×times-frac
60×*-un-lft-identity add-cube-cbrt
48×sqrt-prod
22×associate-*r* associate-*l*
20×add-cbrt-cube add-exp-log
12×associate-/r*
9×unswap-sqr
6×pow1 cbrt-undiv div-exp associate-/l*
4×expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u div-inv add-log-exp
2×clear-num frac-2neg
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative fma-udef
Counts
4 → 171
Calls
4 calls:
Slowest
56.0ms
(* (/ 0.5 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))))
20.0ms
(/ (cos re) (sqrt (exp im)))
12.0ms
(/ 0.5 (sqrt (exp im)))
0.0ms
(fma (exp im) (* 0.5 (cos re)) (* (/ 0.5 (sqrt (exp im))) (/ (cos re) (sqrt (exp im)))))

series283.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
128.0ms
(fma (exp im) (* 0.5 (cos re)) (* (/ 0.5 (sqrt (exp im))) (/ (cos re) (sqrt (exp im)))))
64.0ms
(* (/ 0.5 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))))
49.0ms
(/ (cos re) (sqrt (exp im)))
42.0ms
(/ 0.5 (sqrt (exp im)))

simplify6.3s

Counts
177 → 183
Calls
177 calls:
Slowest
696.0ms
(* (* (* (/ 0.5 (sqrt (exp im))) (/ 0.5 (sqrt (exp im)))) (/ 0.5 (sqrt (exp im)))) (* (* (/ (cos re) (sqrt (exp im))) (/ (cos re) (sqrt (exp im)))) (/ (cos re) (sqrt (exp im)))))
409.0ms
(/ (* (* 0.5 0.5) 0.5) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im))))
355.0ms
(/ (* (* (cos re) (cos re)) (cos re)) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im))))
301.0ms
(* (/ (* (* 0.5 0.5) 0.5) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im)))) (/ (* (* (cos re) (cos re)) (cos re)) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im)))))
213.0ms
(+ (log (/ 0.5 (sqrt (exp im)))) (- (log (cos re)) (log (sqrt (exp im)))))

prune2.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b
(cbrt (exp im))
0.1b
(cbrt (exp im))
0.0b
(/ 0.5 (sqrt (cbrt (exp im))))
0.0b
(/ 1 (fabs (cbrt (exp im))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
24×sqrt-prod
18×cbrt-prod
12×associate-/r*
10×add-exp-log
8×add-cbrt-cube
6×associate-/l*
5×pow1
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×div-exp
2×cbrt-undiv clear-num frac-2neg pow1/3 div-inv
1×rec-exp 1-exp pow-flip inv-pow
Counts
4 → 116
Calls
4 calls:
Slowest
5.0ms
(/ 0.5 (sqrt (cbrt (exp im))))
5.0ms
(/ 1 (fabs (cbrt (exp im))))
2.0ms
(cbrt (exp im))
2.0ms
(cbrt (exp im))

series399.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
137.0ms
(cbrt (exp im))
137.0ms
(cbrt (exp im))
117.0ms
(/ 0.5 (sqrt (cbrt (exp im))))
8.0ms
(/ 1 (fabs (cbrt (exp im))))

simplify3.3s

Counts
112 → 128
Calls
112 calls:
Slowest
472.0ms
(* 0.5 (pow (/ 1 (exp im)) 1/6))
437.0ms
(/ (* (* 0.5 0.5) 0.5) (* (* (sqrt (cbrt (exp im))) (sqrt (cbrt (exp im)))) (sqrt (cbrt (exp im)))))
360.0ms
(* 0.5 (pow (/ 1 (exp im)) 1/6))
125.0ms
(/ 1 (fabs (pow (exp im) 1/3)))
119.0ms
(+ (* 1/18 (pow im 2)) (+ (* 1/3 im) 1))

prune2.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes122.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample7.7s

Algorithm
intervals
Results
3.7s2997×body1280valid
1.6s2480×body640valid
1.2s8613×body80valid
602.0ms1192×body320valid
247.0ms607×body160valid