Details

Time bar (total: 20.4s)

sample228.0ms

Algorithm
intervals
Results
96.0ms88×body1280valid
47.0ms79×body640valid
42.0ms321×body80valid
17.0ms38×body320valid
5.0ms18×body160valid

simplify198.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
197.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

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))

rewrite16.0ms

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
13.0ms
(/ (sin re) (exp im))
1.0ms
(fma (sin re) (exp im) (/ (sin re) (exp im)))

series160.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
109.0ms
(fma (sin re) (exp im) (/ (sin re) (exp im)))
51.0ms
(/ (sin re) (exp im))

simplify1.4s

Counts
31 → 47
Calls
31 calls:
Slowest
411.0ms
(/ (* (* (sin re) (sin re)) (sin re)) (* (* (exp im) (exp im)) (exp im)))
393.0ms
(- (+ (* 2 re) (* re (pow im 2))) (* 1/3 (pow re 3)))
389.0ms
(- re (+ (* re im) (* 1/6 (pow re 3))))
48.0ms
(/ (* (cbrt (sin re)) (cbrt (sin re))) (* (cbrt (exp im)) (cbrt (exp im))))
18.0ms
(+ (/ (sin re) (exp im)) (* (sin re) (exp im)))

prune434.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite47.0ms

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×expm1-log1p-u associate-/r* associate-*r* associate-*l* insert-posit16 log1p-expm1-u associate-/l*
2×div-inv
1×cbrt-undiv +-commutative clear-num sum-log fma-def frac-2neg flip3-+ div-exp pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
3 → 67
Calls
3 calls:
Slowest
21.0ms
(+ (* (sin re) (exp im)) (/ (sin re) (exp im)))
12.0ms
(* (sin re) (exp im))
12.0ms
(/ (sin re) (exp im))

series159.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
86.0ms
(+ (* (sin re) (exp im)) (/ (sin re) (exp im)))
43.0ms
(* (sin re) (exp im))
30.0ms
(/ (sin re) (exp im))

simplify2.3s

Counts
48 → 76
Calls
48 calls:
Slowest
404.0ms
(/ (* (* (sin re) (sin re)) (sin re)) (* (* (exp im) (exp im)) (exp im)))
390.0ms
(- re (+ (* re im) (* 1/6 (pow re 3))))
329.0ms
(- (+ re (* re im)) (* 1/6 (pow re 3)))
328.0ms
(- (+ (* 2 re) (* re (pow im 2))) (* 1/3 (pow re 3)))
291.0ms
(* (* (* (sin re) (sin re)) (sin re)) (* (* (exp im) (exp im)) (exp im)))

prune802.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (exp im))
0.0b
(cbrt (exp im))
0.0b
(cbrt (exp im))
0.0b
(* (cbrt (exp im)) (cbrt (exp im)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 85
Calls
4 calls:
Slowest
15.0ms
(* (cbrt (exp im)) (cbrt (exp im)))
2.0ms
(cbrt (exp im))
2.0ms
(cbrt (exp im))
2.0ms
(cbrt (exp im))

series556.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
165.0ms
(* (cbrt (exp im)) (cbrt (exp im)))
138.0ms
(cbrt (exp im))
132.0ms
(cbrt (exp im))
121.0ms
(cbrt (exp im))

simplify931.0ms

Counts
65 → 97
Calls
65 calls:
Slowest
98.0ms
(+ (* 2/9 (pow im 2)) (+ (* 2/3 im) 1))
96.0ms
(+ (* 1/18 (pow im 2)) (+ (* 1/3 im) 1))
91.0ms
(+ (* 1/18 (pow im 2)) (+ (* 1/3 im) 1))
86.0ms
(+ (* 1/18 (pow im 2)) (+ (* 1/3 im) 1))
67.0ms
(* (* (cbrt (cbrt (exp im))) (cbrt (cbrt (exp im)))) (* (cbrt (cbrt (exp im))) (cbrt (cbrt (exp im)))))

prune1.5s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (* (cbrt (exp im)) (cbrt (exp im))))
0.0b
(cbrt (* (cbrt (exp im)) (cbrt (exp im))))
0.0b
(cbrt (* (cbrt (exp im)) (cbrt (exp im))))
0.0b
(* (cbrt (exp im)) (cbrt (exp im)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
19×cbrt-prod
12×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 79
Calls
4 calls:
Slowest
16.0ms
(* (cbrt (exp im)) (cbrt (exp im)))
11.0ms
(cbrt (* (cbrt (exp im)) (cbrt (exp im))))
10.0ms
(cbrt (* (cbrt (exp im)) (cbrt (exp im))))
6.0ms
(cbrt (* (cbrt (exp im)) (cbrt (exp im))))

series424.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
134.0ms
(* (cbrt (exp im)) (cbrt (exp im)))
103.0ms
(cbrt (* (cbrt (exp im)) (cbrt (exp im))))
93.0ms
(cbrt (* (cbrt (exp im)) (cbrt (exp im))))
93.0ms
(cbrt (* (cbrt (exp im)) (cbrt (exp im))))

simplify939.0ms

Counts
59 → 91
Calls
59 calls:
Slowest
94.0ms
(+ (* 2/81 (pow im 2)) (+ (* 2/9 im) 1))
93.0ms
(+ (* 2/9 (pow im 2)) (+ (* 2/3 im) 1))
79.0ms
(+ (* 2/81 (pow im 2)) (+ (* 2/9 im) 1))
77.0ms
(* (* (cbrt (cbrt (exp im))) (cbrt (cbrt (exp im)))) (* (cbrt (cbrt (exp im))) (cbrt (cbrt (exp im)))))
76.0ms
(+ (* 2/81 (pow im 2)) (+ (* 2/9 im) 1))

prune1.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes109.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample8.7s

Algorithm
intervals
Results
3.5s2860×body1280valid
2.1s2438×body640valid
1.8s8737×body80valid
708.0ms1199×body320valid
206.0ms674×body160valid