Details

Time bar (total: 10.4s)

sample127.0ms

Algorithm
intervals
Results
61.0ms137×body1280valid
31.0ms124×body640valid
10.0ms66×body320valid
8.0ms104×body80valid
4.0ms36×body160valid

simplify72.0ms

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: 43.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
4.9b
(- (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:
37.0ms
(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
13.0ms
(- (exp (- im)) (exp im))

series114.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
35.0ms
(- (exp (- im)) (exp im))

simplify50.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
03711102
11544774
25001722

prune167.0ms

Filtered
80 candidates to 43 candidates (53.8%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

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

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:
6.0ms
(- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im)))
0.0ms
(fma 1/60 (pow im 5) (* 2 im))
7.0ms
(* 1/3 (pow im 3))
22.0ms
(* (* 0.5 (sin re)) (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))

series391.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im)))
117.0ms
(fma 1/60 (pow im 5) (* 2 im))
39.0ms
(* 1/3 (pow im 3))
172.0ms
(* (* 0.5 (sin re)) (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))

simplify85.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
05862644
125561682
250021670

prune380.0ms

Filtered
162 candidates to 79 candidates (48.8%)
Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

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
4×expm1-log1p-u unpow-prod-down cube-prod pow-prod-down log1p-expm1-u add-log-exp unswap-sqr
3×distribute-lft-neg-in distribute-rgt-neg-in *-commutative fma-udef
2×pow-to-exp distribute-neg-in pow-exp sqr-pow
1×distribute-rgt-in cube-mult neg-mul-1 distribute-lft-in unpow3 distribute-rgt-neg-out
Counts
4 → 94
Calls
4 calls:
0.0ms
(fma 1/60 (pow im 5) (* 2 im))
13.0ms
(* (sin re) (* -1/3 (pow im 3)))
7.0ms
(* -1/3 (pow im 3))
10.0ms
(* (* 0.5 (sin re)) (- (fma 1/60 (pow im 5) (* 2 im))))

series511.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(fma 1/60 (pow im 5) (* 2 im))
93.0ms
(* (sin re) (* -1/3 (pow im 3)))
35.0ms
(* -1/3 (pow im 3))
257.0ms
(* (* 0.5 (sin re)) (- (fma 1/60 (pow im 5) (* 2 im))))

simplify63.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0430607
12096527
25002527

prune354.0ms

Filtered
106 candidates to 71 candidates (67.0%)
Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (fma 1/60 (pow im 5) (* 2 im)))) (cbrt (- (fma 1/60 (pow im 5) (* 2 im)))))
0.6b
(cbrt (- (fma 1/60 (pow im 5) (* 2 im))))
0.6b
(cbrt (- (fma 1/60 (pow im 5) (* 2 im))))
0.6b
(cbrt (- (fma 1/60 (pow im 5) (* 2 im))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
78×cbrt-prod
37×add-sqr-sqrt
33×*-un-lft-identity
29×add-cube-cbrt
23×distribute-rgt-neg-in
21×distribute-lft-neg-in
15×swap-sqr
13×associate-*r* associate-*l*
11×pow1
9×pow1/3
7×neg-mul-1
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 125
Calls
4 calls:
13.0ms
(* (cbrt (- (fma 1/60 (pow im 5) (* 2 im)))) (cbrt (- (fma 1/60 (pow im 5) (* 2 im)))))
1.0ms
(cbrt (- (fma 1/60 (pow im 5) (* 2 im))))
1.0ms
(cbrt (- (fma 1/60 (pow im 5) (* 2 im))))
1.0ms
(cbrt (- (fma 1/60 (pow im 5) (* 2 im))))

series2.8s

Counts
4 → 12
Calls
4 calls:
700.0ms
(* (cbrt (- (fma 1/60 (pow im 5) (* 2 im)))) (cbrt (- (fma 1/60 (pow im 5) (* 2 im)))))
627.0ms
(cbrt (- (fma 1/60 (pow im 5) (* 2 im))))
832.0ms
(cbrt (- (fma 1/60 (pow im 5) (* 2 im))))
638.0ms
(cbrt (- (fma 1/60 (pow im 5) (* 2 im))))

simplify58.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
03891811
114101719
250011621

prune645.0ms

Filtered
137 candidates to 108 candidates (78.8%)
Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes306.0ms

Accuracy

0% (0.7b 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
02913
13313
24013
34013

end0.0ms

sample4.0s

Algorithm
intervals
Results
2.1s4665×body1280valid
964.0ms3842×body640valid
301.0ms1878×body320valid
222.0ms4323×body80valid
98.0ms895×body160valid