Details

Time bar (total: 10.4s)

sample178.0ms

Algorithm
intervals
Results
89.0ms164×body1280valid
45.0ms137×body640valid
15.0ms69×body320valid
10.0ms134×body80valid
4.0ms28×body160valid

simplify71.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0187
1407
2927
31637
44057
58657
611897
727717
850017

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.5b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
5.5b
(- (exp (- im)) (exp im))

rewrite50.0ms

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:
34.0ms
(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
12.0ms
(- (exp (- im)) (exp im))

series113.0ms

Counts
2 → 6
Calls
2 calls:
78.0ms
(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
35.0ms
(- (exp (- im)) (exp im))

simplify47.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
03711102
11544774
25001722

prune159.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(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))))
0.1b
(* 1/3 (pow im 3))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
36×prod-diff
35×add-sqr-sqrt
28×*-un-lft-identity
26×add-cube-cbrt
20×distribute-rgt-in distribute-lft-in
17×associate-*r*
13×add-exp-log
10×add-cbrt-cube
8×pow1
6×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in prod-exp
4×unpow-prod-down cube-prod associate-*l* cbrt-unprod unswap-sqr
3×expm1-log1p-u pow-prod-down log1p-expm1-u add-log-exp
2×sub-neg associate-*r/ *-commutative sqr-pow
1×cube-mult pow-to-exp flip3-- unpow3 pow-exp flip-- fma-udef distribute-lft-out-- difference-of-squares
Counts
3 → 107
Calls
3 calls:
0.0ms
(fma 1/60 (pow im 5) (* 2 im))
21.0ms
(* (* 0.5 (sin re)) (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))
9.0ms
(* 1/3 (pow im 3))

series321.0ms

Counts
3 → 9
Calls
3 calls:
118.0ms
(fma 1/60 (pow im 5) (* 2 im))
168.0ms
(* (* 0.5 (sin re)) (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))
35.0ms
(* 1/3 (pow im 3))

simplify74.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05461862
123591247
250031212

prune263.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

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))) (* 1 (fma 1/60 (pow im 5) (* 2 im)))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×associate-*r*
13×add-exp-log
12×prod-diff
11×*-un-lft-identity
10×add-cube-cbrt add-cbrt-cube
8×pow1 distribute-rgt-in distribute-lft-in
6×prod-exp
4×unpow-prod-down cube-prod associate-*l* cbrt-unprod unswap-sqr
3×expm1-log1p-u pow-prod-down log1p-expm1-u add-log-exp
2×distribute-lft-neg-in neg-mul-1 sub-neg distribute-rgt-neg-in associate-*r/ *-commutative sqr-pow
1×cube-mult pow-to-exp flip3-- unpow3 pow-exp flip-- fma-udef distribute-lft-out--
Counts
3 → 82
Calls
3 calls:
0.0ms
(fma 1/60 (pow im 5) (* 2 im))
6.0ms
(* 1/3 (pow im 3))
17.0ms
(* (* 0.5 (sin re)) (- (- (* 1/3 (pow im 3))) (* 1 (fma 1/60 (pow im 5) (* 2 im)))))

series329.0ms

Counts
3 → 9
Calls
3 calls:
123.0ms
(fma 1/60 (pow im 5) (* 2 im))
39.0ms
(* 1/3 (pow im 3))
167.0ms
(* (* 0.5 (sin re)) (- (- (* 1/3 (pow im 3))) (* 1 (fma 1/60 (pow im 5) (* 2 im)))))

simplify62.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0422910
12005752
25003731

prune271.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

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)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
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 → 81
Calls
4 calls:
6.0ms
(* (cbrt (fma 1/60 (pow im 5) (* 2 im))) (cbrt (fma 1/60 (pow im 5) (* 2 im))))
0.0ms
(cbrt (fma 1/60 (pow im 5) (* 2 im)))
0.0ms
(cbrt (fma 1/60 (pow im 5) (* 2 im)))
1.0ms
(cbrt (fma 1/60 (pow im 5) (* 2 im)))

series2.4s

Counts
4 → 12
Calls
4 calls:
759.0ms
(* (cbrt (fma 1/60 (pow im 5) (* 2 im))) (cbrt (fma 1/60 (pow im 5) (* 2 im))))
562.0ms
(cbrt (fma 1/60 (pow im 5) (* 2 im)))
559.0ms
(cbrt (fma 1/60 (pow im 5) (* 2 im)))
563.0ms
(cbrt (fma 1/60 (pow im 5) (* 2 im)))

simplify108.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (97.0ms)

IterNodesCost
02931041
1911965
23966833
35001800

prune395.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes297.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 0.9b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03111
13511
23511

end0.0ms

sample5.1s

Algorithm
intervals
Results
2.6s4779×body1280valid
1.3s3755×body640valid
425.0ms1900×body320valid
324.0ms4405×body80valid
139.0ms947×body160valid