Details

Time bar (total: 6.3s)

sample64.0ms

Algorithm
intervals
Results
17.0ms267×body80valid
12.0ms42×body640valid
10.0ms25×body1280valid
6.0ms29×body320valid
1.0ms10×body160valid

simplify56.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0348
1788
22618
38348
426008
550018

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(hypot (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (- phi1 phi2))
0.1b
(* (hypot (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (- phi1 phi2)) R)
0.2b
(* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))
3.6b
(cos (/ (+ phi1 phi2) 2.0))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
10×*-un-lft-identity
8×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
6×associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow-prod-down associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×hypot-udef flip3-- flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 63
Calls
4 calls:
0.0ms
(hypot (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (- phi1 phi2))
3.0ms
(* (hypot (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (- phi1 phi2)) R)
10.0ms
(* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))
5.0ms
(cos (/ (+ phi1 phi2) 2.0))

series928.0ms

Counts
4 → 12
Calls
4 calls:
369.0ms
(hypot (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (- phi1 phi2))
444.0ms
(* (hypot (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (- phi1 phi2)) R)
88.0ms
(* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))
27.0ms
(cos (/ (+ phi1 phi2) 2.0))

simplify40.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0328677
11130579
25001569

prune475.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 3.6b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(hypot (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (- phi1 phi2))
0.1b
(* (hypot (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (- phi1 phi2)) R)
0.2b
(* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))
3.6b
(cos (/ (+ phi1 phi2) 2.0))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
10×*-un-lft-identity
8×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
6×associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow-prod-down associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×hypot-udef flip3-- flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 63
Calls
4 calls:
0.0ms
(hypot (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (- phi1 phi2))
3.0ms
(* (hypot (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (- phi1 phi2)) R)
10.0ms
(* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))
5.0ms
(cos (/ (+ phi1 phi2) 2.0))

series918.0ms

Counts
4 → 12
Calls
4 calls:
372.0ms
(hypot (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (- phi1 phi2))
435.0ms
(* (hypot (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (- phi1 phi2)) R)
85.0ms
(* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))
26.0ms
(cos (/ (+ phi1 phi2) 2.0))

simplify38.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0328677
11130579
25001569

prune311.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 3.6b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- lambda1 lambda2) (cbrt (pow (cos (/ (+ phi1 phi2) 2.0)) 3)))
0.4b
(cbrt (pow (cos (/ (+ phi1 phi2) 2.0)) 3))
0.5b
(pow (cos (/ (+ phi1 phi2) 2.0)) 3)
3.6b
(cos (/ (+ phi1 phi2) 2.0))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-prod
26×add-sqr-sqrt
17×*-un-lft-identity
15×add-cube-cbrt associate-*r*
10×unpow-prod-down cube-prod
7×pow1 add-exp-log
6×add-cbrt-cube
5×associate-*l* unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp sqr-pow
3×cube-mult pow-unpow unpow3
2×associate-*l/
1×pow-to-exp flip3-- pow-pow pow1/3 pow-prod-down pow-exp prod-exp *-commutative flip-- rem-cbrt-cube cbrt-unprod distribute-lft-out-- rem-cube-cbrt difference-of-squares
Counts
4 → 97
Calls
4 calls:
19.0ms
(* (- lambda1 lambda2) (cbrt (pow (cos (/ (+ phi1 phi2) 2.0)) 3)))
1.0ms
(cbrt (pow (cos (/ (+ phi1 phi2) 2.0)) 3))
1.0ms
(pow (cos (/ (+ phi1 phi2) 2.0)) 3)
5.0ms
(cos (/ (+ phi1 phi2) 2.0))

series195.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(* (- lambda1 lambda2) (cbrt (pow (cos (/ (+ phi1 phi2) 2.0)) 3)))
27.0ms
(cbrt (pow (cos (/ (+ phi1 phi2) 2.0)) 3))
52.0ms
(pow (cos (/ (+ phi1 phi2) 2.0)) 3)
28.0ms
(cos (/ (+ phi1 phi2) 2.0))

simplify45.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0273715
11100668
25002655

prune392.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 3.6b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- lambda1 lambda2) (cbrt (pow (cos (* 0.5 (+ phi2 phi1))) 3)))
0.4b
(cbrt (pow (cos (* 0.5 (+ phi2 phi1))) 3))
0.5b
(pow (cos (* 0.5 (+ phi2 phi1))) 3)
3.6b
(cos (* 0.5 (+ phi2 phi1)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-prod
26×add-sqr-sqrt
17×*-un-lft-identity
15×add-cube-cbrt associate-*r*
10×unpow-prod-down cube-prod
7×pow1 add-exp-log
6×add-cbrt-cube
5×associate-*l* unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp sqr-pow
3×cube-mult pow-unpow unpow3
2×cos-sum associate-*l/
1×distribute-rgt-in pow-to-exp flip3-- pow-pow distribute-lft-in pow1/3 pow-prod-down pow-exp prod-exp *-commutative flip-- rem-cbrt-cube cbrt-unprod distribute-lft-out-- rem-cube-cbrt difference-of-squares
Counts
4 → 99
Calls
4 calls:
21.0ms
(* (- lambda1 lambda2) (cbrt (pow (cos (* 0.5 (+ phi2 phi1))) 3)))
2.0ms
(cbrt (pow (cos (* 0.5 (+ phi2 phi1))) 3))
3.0ms
(pow (cos (* 0.5 (+ phi2 phi1))) 3)
3.0ms
(cos (* 0.5 (+ phi2 phi1)))

series195.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(* (- lambda1 lambda2) (cbrt (pow (cos (* 0.5 (+ phi2 phi1))) 3)))
26.0ms
(cbrt (pow (cos (* 0.5 (+ phi2 phi1))) 3))
48.0ms
(pow (cos (* 0.5 (+ phi2 phi1))) 3)
32.0ms
(cos (* 0.5 (+ phi2 phi1)))

simplify50.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0280742
11126693
25002673

prune335.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

regimes200.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03318
13318

end0.0ms

sample1.9s

Algorithm
intervals
Results
538.0ms8420×body80valid
376.0ms1301×body640valid
325.0ms788×body1280valid
168.0ms762×body320valid
50.0ms370×body160valid