Details

Time bar (total: 5.1s)

sample83.0ms

Algorithm
intervals
Results
34.0ms84×body1280valid
16.0ms76×body640valid
10.0ms237×body80valid
7.0ms50×body320valid
2.0ms20×body160valid

simplify70.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (9.0ms)

IterNodesCost
0237
1607
21127
32367
45206
57026
615146
722846
850016

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (exp (- im)) (exp im))
0.0b
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
7×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt associate-*r* add-log-exp
3×fma-def pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-+ associate-*r/ flip-+ log1p-expm1-u distribute-lft-out
1×+-commutative distribute-rgt-in distribute-lft-in associate-*l* sum-log *-commutative
Counts
2 → 42
Calls
2 calls:
9.0ms
(+ (exp (- im)) (exp im))
27.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series80.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(+ (exp (- im)) (exp im))
59.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify42.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0258374
11276311
25002307

prune118.0ms

Filtered
48 candidates to 35 candidates (72.9%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
13×add-cbrt-cube
9×add-exp-log
8×pow1 add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×fma-def
6×times-frac
5×add-log-exp
4×prod-exp cbrt-unprod
3×expm1-log1p-u associate-*r* pow-prod-down associate-/r* log1p-expm1-u div-inv
2×cbrt-undiv div-exp
1×+-commutative frac-2neg flip3-+ associate-*l* clear-num sum-log *-commutative flip-+ distribute-lft-out associate-/l*
Counts
3 → 64
Calls
3 calls:
10.0ms
(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
9.0ms
(* (* 0.5 (cos re)) (exp im))
4.0ms
(/ (* 0.5 (cos re)) (exp im))

series153.0ms

Counts
3 → 9
Calls
3 calls:
80.0ms
(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
33.0ms
(* (* 0.5 (cos re)) (exp im))
39.0ms
(/ (* 0.5 (cos re)) (exp im))

simplify49.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0297490
11687421
25001416

prune173.0ms

Filtered
73 candidates to 57 candidates (78.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (exp im) (cos re) (/ (cos re) (exp im)))
0.0b
(/ (cos re) (exp im))
0.3b
(cbrt (pow (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5) 3))
0.4b
(pow (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5) 3)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac add-cbrt-cube
8×add-exp-log cbrt-prod
7×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow associate-/r* associate-/l*
2×cube-mult unpow-prod-down pow-pow unpow3 cube-prod pow-exp rem-cube-cbrt sqr-pow
1×cbrt-undiv pow-to-exp frac-2neg pow1/3 div-exp pow-prod-down prod-exp clear-num rem-cbrt-cube cbrt-unprod fma-udef div-inv
Counts
4 → 82
Calls
4 calls:
0.0ms
(fma (exp im) (cos re) (/ (cos re) (exp im)))
4.0ms
(/ (cos re) (exp im))
1.0ms
(cbrt (pow (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5) 3))
2.0ms
(pow (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5) 3)

series293.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(fma (exp im) (cos re) (/ (cos re) (exp im)))
33.0ms
(/ (cos re) (exp im))
86.0ms
(cbrt (pow (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5) 3))
103.0ms
(pow (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5) 3)

simplify35.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0258762
1923708
25002708

prune261.0ms

Filtered
94 candidates to 70 candidates (74.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (cbrt (* (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5) (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5))) (cbrt (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5)))
0.3b
(* (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5) (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5))
0.3b
(cbrt (* (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5) (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5)))
0.3b
(cbrt (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
45×pow1
19×pow-prod-down
18×add-exp-log
16×add-cbrt-cube
9×add-sqr-sqrt prod-exp cbrt-unprod
6×cbrt-prod add-cube-cbrt *-un-lft-identity
5×associate-*r* associate-*l*
4×expm1-log1p-u pow1/3 pow-sqr pow-prod-up log1p-expm1-u add-log-exp
2×pow-plus *-commutative unswap-sqr
1×pow2 swap-sqr pow3
Counts
4 → 83
Calls
4 calls:
8.0ms
(* (cbrt (* (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5) (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5))) (cbrt (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5)))
10.0ms
(* (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5) (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5))
8.0ms
(cbrt (* (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5) (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5)))
2.0ms
(cbrt (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5))

series610.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(* (cbrt (* (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5) (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5))) (cbrt (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5)))
95.0ms
(* (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5) (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5))
186.0ms
(cbrt (* (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5) (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5)))
175.0ms
(cbrt (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5))

simplify44.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
03071649
112981319
250021237

prune254.0ms

Filtered
95 candidates to 60 candidates (63.2%)
Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes73.0ms

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
0129
1129

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.1s2907×body1280valid
543.0ms2482×body640valid
374.0ms8414×body80valid
172.0ms1204×body320valid
57.0ms602×body160valid