Details

Time bar (total: 5.2s)

sample96.0ms

Algorithm
intervals
Results
38.0ms96×body1280valid
20.0ms89×body640valid
13.0ms258×body80valid
5.0ms31×body320valid
5.0ms20×body160valid

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0267
1647
21267
32127
43237
58647
612027
718007
844217
950017

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize11.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
4×*-un-lft-identity associate-*r*
3×pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt associate-*r/
1×distribute-rgt-in expm1-log1p-u distribute-lft-in flip3-+ associate-*l* *-commutative flip-+ log1p-expm1-u distribute-lft-out add-log-exp
Counts
1 → 25
Calls
1 calls:
15.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series73.0ms

Counts
1 → 3
Calls
1 calls:
73.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify36.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0238265
11157219
25002218

prune64.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (* re (pow im 2))) (* 0.16666666666666666 (pow re 3)))
0.0b
(* 0.5 (* re (pow im 2)))
0.1b
(* 0.16666666666666666 (pow re 3))
9.6b
(* re (pow im 2))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
24×add-exp-log
21×associate-*r*
13×prod-exp add-cbrt-cube
12×add-cube-cbrt *-un-lft-identity
9×associate-*l*
8×unpow-prod-down unswap-sqr
6×pow1 add-log-exp
5×cbrt-unprod
4×expm1-log1p-u cube-prod log1p-expm1-u sqr-pow
3×pow-to-exp pow-exp *-commutative
2×unpow2
1×cube-mult sub-neg flip3-- fma-neg diff-log unpow3 prod-diff pow-prod-down flip--
Counts
4 → 99
Calls
4 calls:
6.0ms
(- (* 0.5 (* re (pow im 2))) (* 0.16666666666666666 (pow re 3)))
6.0ms
(* 0.5 (* re (pow im 2)))
9.0ms
(* 0.16666666666666666 (pow re 3))
6.0ms
(* re (pow im 2))

series181.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(- (* 0.5 (* re (pow im 2))) (* 0.16666666666666666 (pow re 3)))
33.0ms
(* 0.5 (* re (pow im 2)))
52.0ms
(* 0.16666666666666666 (pow re 3))
31.0ms
(* re (pow im 2))

simplify53.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0341494
11439442
25002437

prune263.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 0.16666666666666666 (pow re 3))
1.4b
(exp (log (* re (pow im 2))))
9.6b
(* re (pow im 2))
31.8b
(log (* re (pow im 2)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×add-exp-log associate-*r*
12×add-cube-cbrt *-un-lft-identity
9×prod-exp
8×unpow-prod-down add-cbrt-cube unswap-sqr
6×pow1 associate-*l*
4×expm1-log1p-u exp-prod cube-prod rem-log-exp log1p-expm1-u add-log-exp sqr-pow
3×pow-to-exp pow-exp
2×log-prod log-pow *-commutative cbrt-unprod unpow2
1×cube-mult unpow3 exp-sum rem-exp-log
Counts
4 → 92
Calls
4 calls:
9.0ms
(* 0.16666666666666666 (pow re 3))
5.0ms
(exp (log (* re (pow im 2))))
6.0ms
(* re (pow im 2))
4.0ms
(log (* re (pow im 2)))

series162.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* 0.16666666666666666 (pow re 3))
32.0ms
(exp (log (* re (pow im 2))))
36.0ms
(* re (pow im 2))
56.0ms
(log (* re (pow im 2)))

simplify41.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0286356
11117315
25002310

prune291.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 0.16666666666666666 (pow re 3))
1.4b
(pow E (log (* re (pow im 2))))
9.6b
(* re (pow im 2))
31.8b
(log (* re (pow im 2)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
21×add-exp-log
20×associate-*r*
13×add-cube-cbrt *-un-lft-identity
11×unpow-prod-down
9×prod-exp
8×add-cbrt-cube unswap-sqr
7×pow1
6×associate-*l*
5×pow-exp sqr-pow
4×expm1-log1p-u pow-to-exp pow-unpow cube-prod rem-log-exp log1p-expm1-u add-log-exp
2×log-prod log-pow *-commutative cbrt-unprod unpow2
1×unpow-prod-up cube-mult e-exp-1 pow-pow unpow3
Counts
4 → 99
Calls
4 calls:
6.0ms
(* 0.16666666666666666 (pow re 3))
5.0ms
(pow E (log (* re (pow im 2))))
6.0ms
(* re (pow im 2))
4.0ms
(log (* re (pow im 2)))

series400.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* 0.16666666666666666 (pow re 3))
268.0ms
(pow E (log (* re (pow im 2))))
31.0ms
(* re (pow im 2))
61.0ms
(log (* re (pow im 2)))

simplify46.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0338438
11362377
25001362

prune309.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.2b

regimes134.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0147
1147

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.2s3040×body1280valid
581.0ms2521×body640valid
436.0ms8609×body80valid
197.0ms1284×body320valid
71.0ms656×body160valid