Details

Time bar (total: 8.0s)

sample128.0ms

Algorithm
intervals
Results
60.0ms144×body1280valid
31.0ms115×body640valid
10.0ms66×body320valid
8.0ms158×body80valid
4.0ms39×body160valid

simplify69.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1407
2927
31637
44057
58657
611897
727717
850017

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.3b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
6.4b
(- (exp (- im)) (exp im))

rewrite52.0ms

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:
36.0ms
(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
13.0ms
(- (exp (- im)) (exp im))

series117.0ms

Counts
2 → 6
Calls
2 calls:
81.0ms
(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
36.0ms
(- (exp (- im)) (exp im))

simplify46.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
03711102
11544774
25001722

prune166.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

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))

rewrite41.0ms

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))))
8.0ms
(* 1/3 (pow im 3))

series402.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(fma 1/60 (pow im 5) (* 2 im))
57.0ms
(- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im)))
175.0ms
(* (* 0.5 (sin re)) (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))
41.0ms
(* 1/3 (pow im 3))

simplify86.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
05862644
125561682
250021670

prune383.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
24×add-exp-log
23×associate-*r*
19×add-sqr-sqrt
16×add-cbrt-cube
13×prod-exp
12×add-cube-cbrt *-un-lft-identity
11×pow1
7×associate-*l* cbrt-unprod
6×add-log-exp
4×expm1-log1p-u unpow-prod-down distribute-neg-in cube-prod pow-prod-down fma-udef log1p-expm1-u unswap-sqr
3×distribute-lft-neg-in distribute-rgt-neg-in *-commutative distribute-rgt-neg-out
2×distribute-rgt-in pow-to-exp associate-+r+ distribute-lft-in pow-exp sqr-pow
1×+-commutative cube-mult neg-mul-1 fma-def flip3-+ unpow3 unsub-neg sum-log flip-+
Counts
4 → 102
Calls
4 calls:
23.0ms
(+ (* 0.5 (* (sin re) (* -1/3 (pow im 3)))) (* (* 0.5 (sin re)) (- (fma 1/60 (pow im 5) (* 2 im)))))
13.0ms
(* (sin re) (* -1/3 (pow im 3)))
10.0ms
(* (* 0.5 (sin re)) (- (fma 1/60 (pow im 5) (* 2 im))))
7.0ms
(* -1/3 (pow im 3))

series589.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(+ (* 0.5 (* (sin re) (* -1/3 (pow im 3)))) (* (* 0.5 (sin re)) (- (fma 1/60 (pow im 5) (* 2 im)))))
101.0ms
(* (sin re) (* -1/3 (pow im 3)))
266.0ms
(* (* 0.5 (sin re)) (- (fma 1/60 (pow im 5) (* 2 im))))
36.0ms
(* -1/3 (pow im 3))

simplify88.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
0522854
12599752
25001734

prune400.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (sin re) (log (exp (* -1/3 (pow im 3)))))
0.1b
(* (* 0.5 (sin re)) (- (fma 1/60 (pow im 5) (* 2 im))))
0.2b
(* -1/3 (pow im 3))
2.6b
(log (exp (* -1/3 (pow im 3))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
28×associate-*r*
25×add-sqr-sqrt
16×add-exp-log add-cube-cbrt *-un-lft-identity
13×pow1 add-cbrt-cube
9×log-prod
7×associate-*l* prod-exp
6×log-pow add-log-exp
5×cbrt-unprod unswap-sqr
4×distribute-rgt-in expm1-log1p-u unpow-prod-down distribute-lft-in cube-prod pow-prod-down log1p-expm1-u
3×distribute-lft-neg-in distribute-rgt-neg-in *-commutative
2×distribute-neg-in exp-prod exp-to-pow fma-udef sqr-pow
1×cube-mult pow-to-exp neg-mul-1 unpow3 rem-log-exp pow-exp distribute-rgt-neg-out
Counts
4 → 108
Calls
4 calls:
6.0ms
(* (sin re) (log (exp (* -1/3 (pow im 3)))))
10.0ms
(* (* 0.5 (sin re)) (- (fma 1/60 (pow im 5) (* 2 im))))
7.0ms
(* -1/3 (pow im 3))
1.0ms
(log (exp (* -1/3 (pow im 3))))

series441.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(* (sin re) (log (exp (* -1/3 (pow im 3)))))
267.0ms
(* (* 0.5 (sin re)) (- (fma 1/60 (pow im 5) (* 2 im))))
36.0ms
(* -1/3 (pow im 3))
42.0ms
(log (exp (* -1/3 (pow im 3))))

simplify71.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0440752
12114637
25001629

prune417.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes250.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02913
13313
24013
34013

end0.0ms

sample4.1s

Algorithm
intervals
Results
2.1s4770×body1280valid
948.0ms3797×body640valid
313.0ms1952×body320valid
235.0ms4492×body80valid
97.0ms960×body160valid