Details

Time bar (total: 5.7s)

sample308.0ms

Algorithm
intervals
Results
41.0ms93×body1280valid
11.0ms46×body640valid
5.0ms32×body320valid
4.0ms74×body80valid
1.0ms11×body160valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0125
1165
2205
3215
4215

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (sin b) (cos (+ a b)))
0.2b
(* r (/ (sin b) (cos (+ a b))))
3.7b
(cos (+ a b))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity times-frac
13×associate-*r*
10×add-exp-log add-cbrt-cube
5×pow1
3×associate-*l* associate-/r* associate-/l* add-log-exp
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×cos-sum frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
3 → 67
Calls
3 calls:
4.0ms
(/ (sin b) (cos (+ a b)))
7.0ms
(* r (/ (sin b) (cos (+ a b))))
6.0ms
(cos (+ a b))

series173.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ (sin b) (cos (+ a b)))
100.0ms
(* r (/ (sin b) (cos (+ a b))))
35.0ms
(cos (+ a b))

simplify39.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0252536
11064480
25001477

prune201.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
0.2b
(* (sin a) (sin b))
0.2b
(* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
0.2b
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
20×associate-*r*
19×times-frac
13×add-exp-log add-cbrt-cube
8×pow1 associate-/r/
7×sin-mult
6×associate-*l* cos-mult add-log-exp
3×flip3-- prod-exp associate-/r* frac-sub flip-- cbrt-unprod associate-/l* sub-div unswap-sqr
2×cbrt-undiv div-exp pow-prod-down *-commutative div-inv
1×sub-neg frac-2neg diff-log associate-*r/ clear-num
Counts
4 → 100
Calls
4 calls:
5.0ms
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
5.0ms
(* (sin a) (sin b))
11.0ms
(* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
8.0ms
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))

series467.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
45.0ms
(* (sin a) (sin b))
221.0ms
(* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
114.0ms
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))

simplify54.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04051307
117611182
250011173

prune375.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sin a) (sin b))
0.2b
(/ (sin b) (- (* (cos a) (cos b)) (log (exp (* (sin a) (sin b))))))
0.2b
(* r (/ (sin b) (- (* (cos a) (cos b)) (log (exp (* (sin a) (sin b)))))))
3.6b
(log (exp (* (sin a) (sin b))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
23×add-cube-cbrt *-un-lft-identity
19×times-frac
18×associate-*r*
13×add-exp-log add-cbrt-cube
9×pow1
6×associate-*l*
5×add-log-exp
4×associate-/r/
3×log-prod prod-exp associate-/r* log-pow cbrt-unprod associate-/l* unswap-sqr
2×cbrt-undiv flip3-- div-exp pow-prod-down *-commutative flip-- div-inv
1×exp-prod exp-to-pow frac-2neg associate-*r/ rem-log-exp clear-num sin-mult
Counts
4 → 96
Calls
4 calls:
5.0ms
(* (sin a) (sin b))
8.0ms
(/ (sin b) (- (* (cos a) (cos b)) (log (exp (* (sin a) (sin b))))))
11.0ms
(* r (/ (sin b) (- (* (cos a) (cos b)) (log (exp (* (sin a) (sin b)))))))
2.0ms
(log (exp (* (sin a) (sin b))))

series440.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* (sin a) (sin b))
117.0ms
(/ (sin b) (- (* (cos a) (cos b)) (log (exp (* (sin a) (sin b))))))
223.0ms
(* r (/ (sin b) (- (* (cos a) (cos b)) (log (exp (* (sin a) (sin b)))))))
50.0ms
(log (exp (* (sin a) (sin b))))

simplify50.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
03601301
115461128
250021121

prune396.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* (cos a) (cos b)) (log (exp (* (sin a) (sin b)))))
0.2b
(* (sin a) (sin b))
0.2b
(/ (* r (sin b)) (- (* (cos a) (cos b)) (log (exp (* (sin a) (sin b))))))
3.6b
(log (exp (* (sin a) (sin b))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
11×add-exp-log add-cbrt-cube
10×add-cube-cbrt *-un-lft-identity
7×pow1
6×log-prod add-log-exp
3×times-frac associate-*r* associate-*l* associate-/r* log-pow associate--r+
2×cbrt-undiv flip3-- div-exp prod-exp associate-/r/ flip-- cbrt-unprod
1×sub-neg exp-prod exp-to-pow frac-2neg diff-log rem-log-exp pow-prod-down clear-num *-commutative div-inv sin-mult associate-/l* unswap-sqr
Counts
4 → 71
Calls
4 calls:
6.0ms
(- (* (cos a) (cos b)) (log (exp (* (sin a) (sin b)))))
5.0ms
(* (sin a) (sin b))
8.0ms
(/ (* r (sin b)) (- (* (cos a) (cos b)) (log (exp (* (sin a) (sin b))))))
2.0ms
(log (exp (* (sin a) (sin b))))

series407.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(- (* (cos a) (cos b)) (log (exp (* (sin a) (sin b)))))
45.0ms
(* (sin a) (sin b))
224.0ms
(/ (* r (sin b)) (- (* (cos a) (cos b)) (log (exp (* (sin a) (sin b))))))
51.0ms
(log (exp (* (sin a) (sin b))))

simplify39.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0322847
11257710
25002703

prune265.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes148.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01812
11812

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.2s2893×body1280valid
468.0ms1890×body640valid
136.0ms764×body320valid
119.0ms2088×body80valid
45.0ms365×body160valid