Details

Time bar (total: 2.9s)

sample44.0ms

Algorithm
intervals
Results
16.0ms52×body1280valid
8.0ms208×body80valid
7.0ms40×body640valid
2.0ms21×body320valid
1.0ms13×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
063
163

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×add-exp-log
1×expm1-log1p-u pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 20
Calls
1 calls:
6.0ms
(* (exp re) (sin im))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(* (exp re) (sin im))

simplify172.0ms

Algorithm
egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 3 (31.0ms)

IterNodesCost
091106
130093
2115493
3486992
4500192

prune50.0ms

Filtered
23 candidates to 16 candidates (69.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
0.0b
(* (sqrt (exp re)) (sin im))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
12×associate-*l*
11×add-sqr-sqrt
9×pow1 add-exp-log add-cbrt-cube
7×add-cube-cbrt *-un-lft-identity sqrt-prod
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp unswap-sqr
Counts
2 → 47
Calls
2 calls:
21.0ms
(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
8.0ms
(* (sqrt (exp re)) (sin im))

series85.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
48.0ms
(* (sqrt (exp re)) (sin im))

simplify56.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 3 (52.0ms)

IterNodesCost
0162340
1623288
22267288
35001280

prune105.0ms

Filtered
53 candidates to 34 candidates (64.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (sqrt (exp re)) (cbrt (pow (* (sqrt (exp re)) (sin im)) 3)))
0.0b
(* (sqrt (exp re)) (sin im))
0.2b
(pow (* (sqrt (exp re)) (sin im)) 3)
11.0b
(cbrt (pow (* (sqrt (exp re)) (sin im)) 3))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
20×cbrt-prod
14×associate-*r*
13×add-cube-cbrt *-un-lft-identity
12×associate-*l*
11×pow1 add-exp-log
10×sqrt-prod add-cbrt-cube
8×unswap-sqr
5×sqr-pow
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cube-mult unpow-prod-down pow-unpow unpow3 cube-prod pow-prod-down prod-exp cbrt-unprod
2×pow-pow pow-exp *-commutative rem-cube-cbrt
1×pow-to-exp pow1/3 rem-cbrt-cube
Counts
4 → 103
Calls
4 calls:
13.0ms
(* (sqrt (exp re)) (cbrt (pow (* (sqrt (exp re)) (sin im)) 3)))
8.0ms
(* (sqrt (exp re)) (sin im))
6.0ms
(pow (* (sqrt (exp re)) (sin im)) 3)
2.0ms
(cbrt (pow (* (sqrt (exp re)) (sin im)) 3))

series185.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* (sqrt (exp re)) (cbrt (pow (* (sqrt (exp re)) (sin im)) 3)))
47.0ms
(* (sqrt (exp re)) (sin im))
55.0ms
(pow (* (sqrt (exp re)) (sin im)) 3)
48.0ms
(cbrt (pow (* (sqrt (exp re)) (sin im)) 3))

simplify43.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0270856
11188799
25002779

prune273.0ms

Filtered
115 candidates to 80 candidates (69.6%)
Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 1/2 (* re im) im)
5.7b
(fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im))
10.2b
(* (pow re 2) im)
11.1b
(* (sqrt (exp re)) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
14×associate-*l*
11×add-exp-log
10×add-cube-cbrt *-un-lft-identity
8×add-cbrt-cube
6×pow1 associate-*r* unswap-sqr
4×expm1-log1p-u unpow-prod-down prod-exp sqrt-prod fma-udef log1p-expm1-u add-log-exp
2×*-commutative cbrt-unprod unpow2 sqr-pow
1×distribute-rgt-in pow-to-exp distribute-lft-in pow-prod-down pow-exp
Counts
4 → 75
Calls
4 calls:
0.0ms
(fma 1/2 (* re im) im)
0.0ms
(fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im))
6.0ms
(* (pow re 2) im)
8.0ms
(* (sqrt (exp re)) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)))

series128.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(fma 1/2 (* re im) im)
30.0ms
(fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im))
20.0ms
(* (pow re 2) im)
46.0ms
(* (sqrt (exp re)) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)))

simplify38.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0239558
11016490
25001490

prune226.0ms

Filtered
87 candidates to 60 candidates (69.0%)
Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes104.0ms

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
063
163

end0.0ms

sample1.2s

Algorithm
intervals
Results
463.0ms1538×body1280valid
247.0ms6805×body80valid
222.0ms1265×body640valid
76.0ms639×body320valid
24.0ms314×body160valid