Details

Time bar (total: 23.4s)

sample190.0ms

Algorithm
intervals
Results
80.0ms88×body1280valid
40.0ms79×body640valid
35.0ms321×body80valid
14.0ms38×body320valid
5.0ms18×body160valid

simplify274.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
274.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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)))

rewrite17.0ms

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
16.0ms
(/ (* 0.5 (cos re)) (exp im))
0.0ms
(fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))

series179.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
114.0ms
(fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))
64.0ms
(/ (* 0.5 (cos re)) (exp im))

simplify1.2s

Counts
19 → 41
Calls
19 calls:
Slowest
210.0ms
(/ (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (exp im) (exp im)) (exp im)))
192.0ms
(/ (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (exp im) (exp im)) (exp im)))
174.0ms
(- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im)))
152.0ms
(- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2)))
97.0ms
(+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im))))

prune534.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
66×sqrt-prod
57×add-sqr-sqrt
55×*-un-lft-identity add-cube-cbrt
18×add-cbrt-cube add-exp-log
12×associate-/r*
11×associate-/l*
9×div-inv
8×sqrt-pow1
7×cbrt-undiv div-exp
6×pow1 exp-prod
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×rem-sqrt-square clear-num frac-2neg pow1/2 prod-exp cbrt-unprod
1×associate-/l/
Counts
4 → 164
Calls
4 calls:
Slowest
15.0ms
(/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))
12.0ms
(/ (* 0.5 (cos re)) (sqrt (exp im)))
2.0ms
(sqrt (exp im))
2.0ms
(sqrt (exp im))

series154.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
60.0ms
(/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))
60.0ms
(/ (* 0.5 (cos re)) (sqrt (exp im)))
21.0ms
(sqrt (exp im))
13.0ms
(sqrt (exp im))

simplify7.4s

Counts
192 → 176
Calls
192 calls:
Slowest
386.0ms
(/ (/ (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im)))) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im))))
364.0ms
(/ (/ (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im)))) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im))))
203.0ms
(- (log (/ (* 0.5 (cos re)) (sqrt (exp im)))) (log (sqrt (exp im))))
200.0ms
(- 0.5 (+ (* 0.25 (pow re 2)) (* 0.25 im)))
185.0ms
(- (- (+ (log 0.5) (log (cos re))) (log (sqrt (exp im)))) (log (sqrt (exp im))))

prune2.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(log1p (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im))))
0.2b
(expm1 (log1p (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))))
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
9×add-cbrt-cube
7×add-exp-log
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×expm1-log1p-u
4×pow1 insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* times-frac
2×cbrt-undiv div-exp
1×log1p-udef expm1-log1p clear-num frac-2neg prod-exp log1p-expm1 cbrt-unprod fma-udef div-inv associate-/l* expm1-udef
Counts
4 → 59
Calls
4 calls:
Slowest
22.0ms
(/ (* 0.5 (cos re)) (exp im))
0.0ms
(log1p (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im))))
0.0ms
(fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))
0.0ms
(expm1 (log1p (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))))

series586.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
204.0ms
(expm1 (log1p (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))))
172.0ms
(log1p (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im))))
137.0ms
(fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))
73.0ms
(/ (* 0.5 (cos re)) (exp im))

simplify1.9s

Counts
27 → 71
Calls
27 calls:
Slowest
228.0ms
(/ (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (exp im) (exp im)) (exp im)))
203.0ms
(/ (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (exp im) (exp im)) (exp im)))
191.0ms
(- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2)))
178.0ms
(- (+ (* 0.25 (pow im 2)) (log 2.0)) (* 0.25 (pow re 2)))
150.0ms
(- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im)))

prune792.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes116.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample7.8s

Algorithm
intervals
Results
3.2s2857×body1280valid
1.9s2440×body640valid
1.5s8744×body80valid
602.0ms1199×body320valid
175.0ms670×body160valid