Details

Time bar (total: 32.4s)

sample293.0ms

Algorithm
intervals
Results
91.0ms89×body1280valid
70.0ms97×body640valid
55.0ms28×body320valid
51.0ms294×body80valid
7.0ms22×body160valid

simplify204.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
204.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

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)))

rewrite21.0ms

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
19.0ms
(/ (sin re) (exp im))
0.0ms
(fma (sin re) (exp im) (/ (sin re) (exp im)))

series167.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
104.0ms
(fma (sin re) (exp im) (/ (sin re) (exp im)))
63.0ms
(/ (sin re) (exp im))

simplify1.6s

Counts
31 → 47
Calls
31 calls:
Slowest
455.0ms
(/ (* (* (sin re) (sin re)) (sin re)) (* (* (exp im) (exp im)) (exp im)))
446.0ms
(- re (+ (* re im) (* 1/6 (pow re 3))))
403.0ms
(- (+ (* 2 re) (* re (pow im 2))) (* 1/3 (pow re 3)))
57.0ms
(/ (* (cbrt (sin re)) (cbrt (sin re))) (* (cbrt (exp im)) (cbrt (exp im))))
33.0ms
(/ (* (cbrt (sin re)) (cbrt (sin re))) (sqrt (exp im)))

prune485.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 3 expressions with local error:

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

rewrite61.0ms

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
27.0ms
(+ (* (sin re) (exp im)) (/ (sin re) (exp im)))
24.0ms
(* (sin re) (exp im))
9.0ms
(/ (sin re) (exp im))

series569.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
489.0ms
(+ (* (sin re) (exp im)) (/ (sin re) (exp im)))
50.0ms
(/ (sin re) (exp im))
31.0ms
(* (sin re) (exp im))

simplify2.4s

Counts
48 → 76
Calls
48 calls:
Slowest
448.0ms
(/ (* (* (sin re) (sin re)) (sin re)) (* (* (exp im) (exp im)) (exp im)))
399.0ms
(- re (+ (* re im) (* 1/6 (pow re 3))))
380.0ms
(- (+ re (* re im)) (* 1/6 (pow re 3)))
334.0ms
(- (+ (* 2 re) (* re (pow im 2))) (* 1/3 (pow re 3)))
328.0ms
(* (* (* (sin re) (sin re)) (sin re)) (* (* (exp im) (exp im)) (exp im)))

prune685.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
17×add-sqr-sqrt
15×add-cube-cbrt
9×times-frac
7×add-cbrt-cube
6×pow1 add-exp-log
5×associate-*r* add-log-exp
4×pow-flip distribute-lft-out
3×expm1-log1p-u exp-prod associate-/r* fma-def associate-*l* insert-posit16 log1p-expm1-u div-inv associate-/l*
2×flip3-+ div-exp associate-*r/ flip-+
1×distribute-rgt-in cbrt-undiv +-commutative rec-exp clear-num sum-log frac-2neg distribute-lft-in 1-exp pow-prod-down prod-exp *-commutative cbrt-unprod inv-pow unswap-sqr
Counts
3 → 83
Calls
3 calls:
Slowest
72.0ms
(* (sin re) (+ (exp im) (/ 1 (exp im))))
21.0ms
(+ (exp im) (/ 1 (exp im)))
12.0ms
(/ 1 (exp im))

series158.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
97.0ms
(* (sin re) (+ (exp im) (/ 1 (exp im))))
46.0ms
(+ (exp im) (/ 1 (exp im)))
15.0ms
(/ 1 (exp im))

simplify1.8s

Counts
60 → 92
Calls
60 calls:
Slowest
273.0ms
(- (+ (* 2 re) (* re (pow im 2))) (* 1/3 (pow re 3)))
240.0ms
(* (* (* (sin re) (sin re)) (sin re)) (* (* (+ (exp im) (/ 1 (exp im))) (+ (exp im) (/ 1 (exp im)))) (+ (exp im) (/ 1 (exp im)))))
184.0ms
(+ (* (exp im) (exp im)) (- (* (/ 1 (exp im)) (/ 1 (exp im))) (* (exp im) (/ 1 (exp im)))))
128.0ms
(/ (* (* 1 1) 1) (* (* (exp im) (exp im)) (exp im)))
101.0ms
(* (sin re) (+ (exp im) (/ 1 (exp im))))

prune881.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

5.3b
(fma (/ 1 (exp im)) (/ 1 (exp im)) -1)
0.3b
(/ (* (sin re) (+ (pow (exp im) 3) (pow (/ 1 (exp im)) 3))) (fma (exp im) (exp im) (fma (/ 1 (exp im)) (/ 1 (exp im)) -1)))
0.1b
(pow (exp im) 3)
0.1b
(pow (/ 1 (exp im)) 3)

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
21×times-frac
16×unpow-prod-down cube-prod
13×add-cbrt-cube
11×add-exp-log
10×pow-pow
7×pow1
6×pow-unpow exp-prod
5×pow-exp
4×expm1-log1p-u div-exp insert-posit16 log1p-expm1-u pow-flip add-log-exp
3×cbrt-undiv associate-/r* div-inv rem-cube-cbrt
2×cube-mult pow-to-exp unpow3 associate-*r/ sqr-pow associate-/l/
1×cube-div rec-exp clear-num frac-2neg flip3-+ 1-exp prod-exp cbrt-unprod flip-+ fma-udef associate-/l* inv-pow
Counts
4 → 122
Calls
4 calls:
Slowest
51.0ms
(/ (* (sin re) (+ (pow (exp im) 3) (pow (/ 1 (exp im)) 3))) (fma (exp im) (exp im) (fma (/ 1 (exp im)) (/ 1 (exp im)) -1)))
6.0ms
(pow (/ 1 (exp im)) 3)
4.0ms
(pow (exp im) 3)
0.0ms
(fma (/ 1 (exp im)) (/ 1 (exp im)) -1)

series386.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
254.0ms
(/ (* (sin re) (+ (pow (exp im) 3) (pow (/ 1 (exp im)) 3))) (fma (exp im) (exp im) (fma (/ 1 (exp im)) (/ 1 (exp im)) -1)))
50.0ms
(fma (/ 1 (exp im)) (/ 1 (exp im)) -1)
48.0ms
(pow (/ 1 (exp im)) 3)
34.0ms
(pow (exp im) 3)

simplify11.0s

Counts
83 → 134
Calls
83 calls:
Slowest
884.0ms
(/ (* (* (* (sin re) (sin re)) (sin re)) (* (* (+ (pow (exp im) 3) (pow (/ 1 (exp im)) 3)) (+ (pow (exp im) 3) (pow (/ 1 (exp im)) 3))) (+ (pow (exp im) 3) (pow (/ 1 (exp im)) 3)))) (* (* (fma (exp im) (exp im) (fma (/ 1 (exp im)) (/ 1 (exp im)) -1)) (fma (exp im) (exp im) (fma (/ 1 (exp im)) (/ 1 (exp im)) -1))) (fma (exp im) (exp im) (fma (/ 1 (exp im)) (/ 1 (exp im)) -1))))
824.0ms
(/ (* (* (* (sin re) (+ (pow (exp im) 3) (pow (/ 1 (exp im)) 3))) (* (sin re) (+ (pow (exp im) 3) (pow (/ 1 (exp im)) 3)))) (* (sin re) (+ (pow (exp im) 3) (pow (/ 1 (exp im)) 3)))) (* (* (fma (exp im) (exp im) (fma (/ 1 (exp im)) (/ 1 (exp im)) -1)) (fma (exp im) (exp im) (fma (/ 1 (exp im)) (/ 1 (exp im)) -1))) (fma (exp im) (exp im) (fma (/ 1 (exp im)) (/ 1 (exp im)) -1))))
430.0ms
(pow (/ (sqrt 1) (* (cbrt (exp im)) (cbrt (exp im)))) 3)
405.0ms
(pow (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (exp im)) (cbrt (exp im)))) 3)
383.0ms
(pow (/ (sqrt 1) (* (cbrt (exp im)) (cbrt (exp im)))) 3)

prune2.1s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes136.0ms

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
4.0s3022×body1280valid
2.0s2404×body640valid
1.9s8638×body80valid
560.0ms1213×body320valid
302.0ms632×body160valid