Details

Time bar (total: 8.3s)

sample66.0ms

Algorithm
intervals
Results
17.0ms267×body80valid
12.0ms44×body640valid
7.0ms18×body1280valid
4.0ms22×body320valid
2.0ms13×body160valid

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03217
17117
224117
374717
4219617
5500117

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.3b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))))
3.5b
(cos (/ (+ phi1 phi2) 2.0))
3.5b
(cos (/ (+ phi1 phi2) 2.0))
37.0b
(sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2))))

rewrite192.0ms

Algorithm
rewrite-expression-head
Rules
142×associate-*l/
102×flip3-- flip--
68×frac-times
66×sqrt-div
64×frac-add
44×pow1
34×associate-*r/
17×pow-prod-down
16×add-exp-log add-cbrt-cube
8×prod-exp cbrt-unprod
6×add-sqr-sqrt
5×add-cube-cbrt *-un-lft-identity
4×pow-sqr pow-prod-up add-log-exp
3×sqrt-prod
2×pow-plus
1×pow2 rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 swap-sqr associate-*r* associate-*l* *-commutative flip-+
Counts
4 → 135
Calls
4 calls:
65.0ms
(* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))))
11.0ms
(cos (/ (+ phi1 phi2) 2.0))
10.0ms
(cos (/ (+ phi1 phi2) 2.0))
94.0ms
(sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2))))

series601.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))))
27.0ms
(cos (/ (+ phi1 phi2) 2.0))
31.0ms
(cos (/ (+ phi1 phi2) 2.0))
440.0ms
(sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2))))

simplify57.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
013733924
150013756

prune470.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 26.5b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cos (/ (+ phi1 phi2) 2.0)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))))
3.5b
(cos (/ (+ phi1 phi2) 2.0))
3.5b
(cos (/ (+ phi1 phi2) 2.0))
37.0b
(sqrt (+ (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2.0)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))))) (* (- phi1 phi2) (- phi1 phi2))))

rewrite204.0ms

Algorithm
rewrite-expression-head
Rules
97×flip3-- flip--
82×associate-*r/ associate-*l/
66×sqrt-div
64×frac-times frac-add
10×pow1
9×add-exp-log add-cbrt-cube
7×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×associate-*l* pow-prod-down prod-exp sqrt-prod cbrt-unprod
1×rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 associate-*r* *-commutative flip-+
Counts
4 → 113
Calls
4 calls:
36.0ms
(* (cos (/ (+ phi1 phi2) 2.0)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))))
10.0ms
(cos (/ (+ phi1 phi2) 2.0))
10.0ms
(cos (/ (+ phi1 phi2) 2.0))
137.0ms
(sqrt (+ (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2.0)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))))) (* (- phi1 phi2) (- phi1 phi2))))

series657.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(* (cos (/ (+ phi1 phi2) 2.0)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))))
27.0ms
(cos (/ (+ phi1 phi2) 2.0))
31.0ms
(cos (/ (+ phi1 phi2) 2.0))
436.0ms
(sqrt (+ (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2.0)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))))) (* (- phi1 phi2) (- phi1 phi2))))

simplify59.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
013213717
150013614

prune543.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 26.5b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b
(pow (cos (/ (+ phi1 phi2) 2.0)) 3)
3.5b
(cos (/ (+ phi1 phi2) 2.0))
3.5b
(cos (/ (+ phi1 phi2) 2.0))
37.0b
(sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cbrt (pow (cos (/ (+ phi1 phi2) 2.0)) 3)))) (* (- phi1 phi2) (- phi1 phi2))))

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
128×associate-*l/
96×flip3-- flip--
66×sqrt-div
64×frac-times frac-add
32×associate-*r/
9×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×pow1
5×add-exp-log add-cbrt-cube
4×add-log-exp
3×unpow-prod-down pow-unpow cube-prod sqrt-prod
1×cube-mult pow-to-exp rem-sqrt-square pow-pow sqrt-pow1 flip3-+ pow1/2 unpow3 pow-exp flip-+ rem-cube-cbrt sqr-pow
Counts
4 → 116
Calls
4 calls:
3.0ms
(pow (cos (/ (+ phi1 phi2) 2.0)) 3)
10.0ms
(cos (/ (+ phi1 phi2) 2.0))
10.0ms
(cos (/ (+ phi1 phi2) 2.0))
113.0ms
(sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cbrt (pow (cos (/ (+ phi1 phi2) 2.0)) 3)))) (* (- phi1 phi2) (- phi1 phi2))))

series553.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(pow (cos (/ (+ phi1 phi2) 2.0)) 3)
26.0ms
(cos (/ (+ phi1 phi2) 2.0))
26.0ms
(cos (/ (+ phi1 phi2) 2.0))
448.0ms
(sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cbrt (pow (cos (/ (+ phi1 phi2) 2.0)) 3)))) (* (- phi1 phi2) (- phi1 phi2))))

simplify55.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
013493745
150023672

prune481.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 26.5b

localize30.0ms

Local error

Found 4 expressions with local error:

1.4b
(log (exp (pow (cos (/ (+ phi1 phi2) 2.0)) 3)))
3.5b
(cos (/ (+ phi1 phi2) 2.0))
3.5b
(cos (/ (+ phi1 phi2) 2.0))
37.0b
(sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cbrt (log (exp (pow (cos (/ (+ phi1 phi2) 2.0)) 3)))))) (* (- phi1 phi2) (- phi1 phi2))))

rewrite168.0ms

Algorithm
rewrite-expression-head
Rules
128×associate-*l/
96×flip3-- flip--
66×sqrt-div
64×frac-times frac-add
32×associate-*r/
13×log-pow
12×exp-prod
10×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity
6×pow1
4×add-exp-log add-cbrt-cube add-log-exp
3×unpow-prod-down log-prod cube-prod sqrt-prod
1×cube-mult rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 unpow3 rem-log-exp flip-+ sqr-pow
Counts
4 → 117
Calls
4 calls:
7.0ms
(log (exp (pow (cos (/ (+ phi1 phi2) 2.0)) 3)))
10.0ms
(cos (/ (+ phi1 phi2) 2.0))
10.0ms
(cos (/ (+ phi1 phi2) 2.0))
127.0ms
(sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cbrt (log (exp (pow (cos (/ (+ phi1 phi2) 2.0)) 3)))))) (* (- phi1 phi2) (- phi1 phi2))))

series560.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(log (exp (pow (cos (/ (+ phi1 phi2) 2.0)) 3)))
29.0ms
(cos (/ (+ phi1 phi2) 2.0))
27.0ms
(cos (/ (+ phi1 phi2) 2.0))
447.0ms
(sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cbrt (log (exp (pow (cos (/ (+ phi1 phi2) 2.0)) 3)))))) (* (- phi1 phi2) (- phi1 phi2))))

simplify57.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
013603931
150023837

prune727.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 26.5b

regimes457.0ms

Accuracy

37.7% (8.6b remaining)

Error of 33.4b against oracle of 24.8b and baseline of 38.6b

bsearch91.0ms

Steps
ItersRangePoint
9
1.632276987569308e+48
1.2301487819410751e+54
1.0405687512986846e+54

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03019
13019

end0.0ms

sample2.0s

Algorithm
intervals
Results
545.0ms8402×body80valid
366.0ms1272×body640valid
318.0ms763×body1280valid
146.0ms730×body320valid
59.0ms395×body160valid