Details

Time bar (total: 24.4s)

sample220.0ms

Algorithm
intervals
Results
95.0ms88×body1280valid
49.0ms80×body640valid
35.0ms270×body80valid
20.0ms42×body320valid
4.0ms15×body160valid

simplify646.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
646.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize34.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (exp im) (* 0.5 (sin re)))
0.0b
(/ (* 0.5 (sin re)) (exp im))
0.0b
(+ (* (exp im) (* 0.5 (sin re))) (/ (* 0.5 (sin re)) (exp im)))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
13×add-cbrt-cube
9×add-exp-log
8×pow1
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×add-log-exp
4×prod-exp cbrt-unprod
3×associate-/r* times-frac associate-*l* pow-prod-down insert-posit16
2×cbrt-undiv div-exp
1×+-commutative clear-num sum-log frac-2neg flip3-+ associate-*r* *-commutative flip-+ div-inv associate-/l*
Counts
3 → 53
Calls
3 calls:
Slowest
49.0ms
(* (exp im) (* 0.5 (sin re)))
26.0ms
(+ (* (exp im) (* 0.5 (sin re))) (/ (* 0.5 (sin re)) (exp im)))
13.0ms
(/ (* 0.5 (sin re)) (exp im))

series285.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
112.0ms
(+ (* (exp im) (* 0.5 (sin re))) (/ (* 0.5 (sin re)) (exp im)))
108.0ms
(* (exp im) (* 0.5 (sin re)))
65.0ms
(/ (* 0.5 (sin re)) (exp im))

simplify3.2s

Counts
32 → 62
Calls
32 calls:
Slowest
581.0ms
(* (* (* (exp im) (exp im)) (exp im)) (* (* (* 0.5 (sin re)) (* 0.5 (sin re))) (* 0.5 (sin re))))
500.0ms
(* (exp (* (exp im) (* 0.5 (sin re)))) (exp (/ (* 0.5 (sin re)) (exp im))))
397.0ms
(* (* (* (exp im) (exp im)) (exp im)) (* (* (* 0.5 0.5) 0.5) (* (* (sin re) (sin re)) (sin re))))
343.0ms
(- (+ (* 1.0 re) (* 0.5 (* re (pow im 2)))) (* 0.16666666666666666 (pow re 3)))
286.0ms
(+ (* 0.5 (* re im)) (+ (* 0.5 re) (* 0.25 (* re (pow im 2)))))

prune625.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (exp im) (* 0.5 (sin re)))
0.0b
(/ 1 (exp im))
0.0b
(+ (* (exp im) (* 0.5 (sin re))) (* (* 0.5 (sin re)) (/ 1 (exp im))))
0.0b
(* (* 0.5 (sin re)) (/ 1 (exp im)))

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
24×add-exp-log
23×add-cbrt-cube
21×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×times-frac
15×pow1 prod-exp
14×associate-*r*
9×cbrt-unprod
6×div-exp pow-prod-down add-log-exp
4×associate-*l* insert-posit16 pow-flip
3×cbrt-undiv rec-exp exp-prod associate-/r* 1-exp associate-/l*
2×*-commutative div-inv
1×+-commutative clear-num sum-log frac-2neg flip3-+ associate-*r/ un-div-inv flip-+ inv-pow
Counts
4 → 105
Calls
4 calls:
Slowest
51.0ms
(* (* 0.5 (sin re)) (/ 1 (exp im)))
42.0ms
(+ (* (exp im) (* 0.5 (sin re))) (* (* 0.5 (sin re)) (/ 1 (exp im))))
26.0ms
(* (exp im) (* 0.5 (sin re)))
13.0ms
(/ 1 (exp im))

series268.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
147.0ms
(+ (* (exp im) (* 0.5 (sin re))) (* (* 0.5 (sin re)) (/ 1 (exp im))))
66.0ms
(* (exp im) (* 0.5 (sin re)))
39.0ms
(* (* 0.5 (sin re)) (/ 1 (exp im)))
15.0ms
(/ 1 (exp im))

simplify5.0s

Counts
81 → 117
Calls
81 calls:
Slowest
666.0ms
(* (* (* (exp im) (exp im)) (exp im)) (* (* (* 0.5 (sin re)) (* 0.5 (sin re))) (* 0.5 (sin re))))
398.0ms
(- (+ (* 1.0 re) (* 0.5 (* re (pow im 2)))) (* 0.16666666666666666 (pow re 3)))
392.0ms
(* (* (* (exp im) (exp im)) (exp im)) (* (* (* 0.5 0.5) 0.5) (* (* (sin re) (sin re)) (sin re))))
242.0ms
(+ (* 0.5 (* re im)) (+ (* 0.5 re) (* 0.25 (* re (pow im 2)))))
227.0ms
(* (* (* (* 0.5 (sin re)) (* 0.5 (sin re))) (* 0.5 (sin re))) (/ (* (* 1 1) 1) (* (* (exp im) (exp im)) (exp im))))

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize37.0ms

Local error

Found 4 expressions with local error:

0.3b
(sqrt (exp im))
0.3b
(sqrt (exp im))
0.0b
(/ 1 (exp im))
0.0b
(* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (sin re))))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
19×*-un-lft-identity add-cube-cbrt
16×pow1
15×add-cbrt-cube
14×add-exp-log
9×exp-prod times-frac sqrt-prod
8×sqrt-pow1
6×associate-*l* pow-prod-down prod-exp cbrt-unprod
4×insert-posit16 pow-flip add-log-exp
3×associate-/r* associate-/l*
2×rem-sqrt-square pow1/2 div-exp
1×cbrt-undiv rec-exp clear-num frac-2neg 1-exp associate-*r* *-commutative div-inv inv-pow
Counts
4 → 94
Calls
4 calls:
Slowest
62.0ms
(* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (sin re))))
6.0ms
(/ 1 (exp im))
2.0ms
(sqrt (exp im))
2.0ms
(sqrt (exp im))

series135.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
73.0ms
(* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (sin re))))
23.0ms
(sqrt (exp im))
22.0ms
(sqrt (exp im))
16.0ms
(/ 1 (exp im))

simplify2.2s

Counts
73 → 106
Calls
73 calls:
Slowest
287.0ms
(+ (* 0.5 (* re im)) (+ (* 0.5 re) (* 0.25 (* re (pow im 2)))))
218.0ms
(* (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im))) (* (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im))) (* (* (* 0.5 (sin re)) (* 0.5 (sin re))) (* 0.5 (sin re)))))
202.0ms
(* (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im))) (* (* (* (sqrt (exp im)) (* 0.5 (sin re))) (* (sqrt (exp im)) (* 0.5 (sin re)))) (* (sqrt (exp im)) (* 0.5 (sin re)))))
184.0ms
(* (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im))) (* (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im))) (* (* (* 0.5 0.5) 0.5) (* (* (sin re) (sin re)) (sin re)))))
125.0ms
(+ (log (sqrt (exp im))) (log (* (sqrt (exp im)) (* 0.5 (sin re)))))

prune1.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.2b

regimes129.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample8.7s

Algorithm
intervals
Results
3.3s2987×body1280valid
2.6s2416×body640valid
1.5s8727×body80valid
728.0ms1258×body320valid
202.0ms603×body160valid