Details

Time bar (total: 8.2s)

sample133.0ms

Algorithm
intervals
Results
63.0ms144×body1280valid
34.0ms142×body640valid
10.0ms66×body320valid
7.0ms136×body80valid
3.0ms27×body160valid

simplify71.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1407
2927
31637
44057
58657
611897
727717
850017

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.4b

localize10.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
5.2b
(- (exp (- im)) (exp im))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
27×prod-diff
26×add-sqr-sqrt *-un-lft-identity
22×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
7×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
4×add-log-exp
3×sub-neg fma-neg pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- associate-*r/ flip-- log1p-expm1-u distribute-lft-out-- difference-of-squares
1×diff-log associate-*l* *-commutative
Counts
2 → 74
Calls
2 calls:
37.0ms
(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
14.0ms
(- (exp (- im)) (exp im))

series116.0ms

Counts
2 → 6
Calls
2 calls:
81.0ms
(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
35.0ms
(- (exp (- im)) (exp im))

simplify48.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
03711102
11544774
25001722

prune171.0ms

Filtered
80 candidates to 43 candidates (53.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.4b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 1/60 (pow im 5) (* 2 im))
0.0b
(- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im)))
0.1b
(* (* 0.5 (sin re)) (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))
0.2b
(* 1/3 (pow im 3))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
54×prod-diff
48×add-sqr-sqrt
41×*-un-lft-identity
37×add-cube-cbrt
20×distribute-rgt-in distribute-lft-in
17×associate-*r*
14×add-exp-log
11×add-cbrt-cube
10×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in
9×pow1
8×add-log-exp
6×fma-neg prod-exp
4×expm1-log1p-u unpow-prod-down cube-prod associate-*l* cbrt-unprod log1p-expm1-u unswap-sqr
3×sub-neg pow-prod-down
2×flip3-- diff-log associate-*r/ *-commutative flip-- fma-udef distribute-lft-out-- difference-of-squares sqr-pow
1×associate--l- neg-sub0 cube-mult pow-to-exp unpow3 neg-log pow-exp associate--r+
Counts
4 → 150
Calls
4 calls:
0.0ms
(fma 1/60 (pow im 5) (* 2 im))
6.0ms
(- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im)))
22.0ms
(* (* 0.5 (sin re)) (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))
11.0ms
(* 1/3 (pow im 3))

series399.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(fma 1/60 (pow im 5) (* 2 im))
61.0ms
(- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im)))
174.0ms
(* (* 0.5 (sin re)) (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))
37.0ms
(* 1/3 (pow im 3))

simplify86.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
05862644
125561682
250021670

prune563.0ms

Filtered
162 candidates to 79 candidates (48.8%)
Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 1/60 (pow im 5))
0.1b
(* (* 0.5 (sin re)) (- (- (fma (pow im 3) 1/3 (* 1/60 (pow im 5)))) (* 2 im)))
0.2b
(fma (pow im 3) 1/3 (* 1/60 (pow im 5)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
20×prod-diff
18×add-sqr-sqrt
13×add-exp-log distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in
10×associate-*r* add-cbrt-cube
8×pow1
6×distribute-lft-neg-in distribute-rgt-neg-in prod-exp
4×unpow-prod-down associate-*l* cbrt-unprod
3×expm1-log1p-u pow-prod-down fma-udef log1p-expm1-u add-log-exp unswap-sqr
2×neg-mul-1 sub-neg distribute-neg-in associate-*r/ associate--l+ *-commutative sqr-pow
1×pow-to-exp flip3-- pow-exp flip--
Counts
3 → 85
Calls
3 calls:
6.0ms
(* 1/60 (pow im 5))
22.0ms
(* (* 0.5 (sin re)) (- (- (fma (pow im 3) 1/3 (* 1/60 (pow im 5)))) (* 2 im)))
1.0ms
(fma (pow im 3) 1/3 (* 1/60 (pow im 5)))

series333.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(* 1/60 (pow im 5))
170.0ms
(* (* 0.5 (sin re)) (- (- (fma (pow im 3) 1/3 (* 1/60 (pow im 5)))) (* 2 im)))
117.0ms
(fma (pow im 3) 1/3 (* 1/60 (pow im 5)))

simplify63.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
04661048
12060946
25003916

prune266.0ms

Filtered
94 candidates to 54 candidates (57.4%)
Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.3b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(fma (pow im 3) 1/3 (* (* (cbrt (* 1/60 (pow im 5))) (cbrt (* 1/60 (pow im 5)))) (cbrt (* 1/60 (pow im 5)))))
26.3b
(cbrt (* 1/60 (pow im 5)))
26.3b
(cbrt (* 1/60 (pow im 5)))
26.3b
(cbrt (* 1/60 (pow im 5)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3
1×fma-udef
Counts
4 → 43
Calls
4 calls:
0.0ms
(fma (pow im 3) 1/3 (* (* (cbrt (* 1/60 (pow im 5))) (cbrt (* 1/60 (pow im 5)))) (cbrt (* 1/60 (pow im 5)))))
2.0ms
(cbrt (* 1/60 (pow im 5)))
2.0ms
(cbrt (* 1/60 (pow im 5)))
2.0ms
(cbrt (* 1/60 (pow im 5)))

series923.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(fma (pow im 3) 1/3 (* (* (cbrt (* 1/60 (pow im 5))) (cbrt (* 1/60 (pow im 5)))) (cbrt (* 1/60 (pow im 5)))))
241.0ms
(cbrt (* 1/60 (pow im 5)))
238.0ms
(cbrt (* 1/60 (pow im 5)))
243.0ms
(cbrt (* 1/60 (pow im 5)))

simplify119.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (18.0ms)

IterNodesCost
067374
1140326
2487313
32468302
45001302

prune222.0ms

Filtered
55 candidates to 44 candidates (80.0%)
Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.3b

regimes310.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03450
13850
23850

end0.0ms

sample4.2s

Algorithm
intervals
Results
2.1s4806×body1280valid
987.0ms3833×body640valid
303.0ms1894×body320valid
246.0ms4534×body80valid
107.0ms994×body160valid