Details

Time bar (total: 6.1s)

sample397.0ms

Algorithm
intervals
Results
68.0ms95×body1280valid
14.0ms53×body640valid
5.0ms26×body320valid
4.0ms69×body80valid
2.0ms13×body160valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0125
1165
2205
3215
4215

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.2b
(* r (/ (sin b) (cos (+ a b))))
0.3b
(/ (sin b) (cos (+ a b)))
3.8b
(cos (+ a b))

rewrite42.0ms

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:
17.0ms
(* r (/ (sin b) (cos (+ a b))))
10.0ms
(/ (sin b) (cos (+ a b)))
12.0ms
(cos (+ a b))

series175.0ms

Counts
3 → 9
Calls
3 calls:
103.0ms
(* r (/ (sin b) (cos (+ a b))))
40.0ms
(/ (sin b) (cos (+ a b)))
32.0ms
(cos (+ a b))

simplify41.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0252536
11064480
25001477

prune184.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
24×add-cube-cbrt *-un-lft-identity
23×associate-*r*
19×times-frac
15×add-exp-log add-cbrt-cube
10×pow1
9×associate-*l*
8×associate-/r/
5×cos-mult sin-mult
4×prod-exp cbrt-unprod add-log-exp unswap-sqr
3×pow-prod-down associate-/r* *-commutative associate-/l*
2×cbrt-undiv flip3-- div-exp frac-sub flip-- div-inv sub-div
1×frac-2neg associate-*r/ clear-num
Counts
4 → 105
Calls
4 calls:
10.0ms
(* (cos a) (cos b))
73.0ms
(* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
12.0ms
(* (sin a) (sin b))
26.0ms
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))

series441.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* (cos a) (cos b))
231.0ms
(* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
48.0ms
(* (sin a) (sin b))
120.0ms
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))

simplify58.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
04281219
118581103
250011098

prune359.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (cos a) (cos b))
0.2b
(/ 1 (- (* (cos a) (cos b)) (* (sin a) (sin b))))
0.2b
(* (sin a) (sin b))
0.2b
(* (* r (sin b)) (/ 1 (- (* (cos a) (cos b)) (* (sin a) (sin b)))))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log
27×add-sqr-sqrt
23×add-cube-cbrt *-un-lft-identity associate-*r*
22×add-cbrt-cube
18×times-frac
14×pow1 prod-exp
8×associate-/r/ cbrt-unprod
7×associate-*l*
6×div-exp
5×pow-prod-down cos-mult sin-mult
4×add-log-exp
3×cbrt-undiv rec-exp 1-exp associate-/r* *-commutative associate-/l*
2×flip3-- frac-sub flip-- div-inv sub-div unswap-sqr
1×pow-flip frac-2neg associate-*r/ clear-num un-div-inv inv-pow
Counts
4 → 115
Calls
4 calls:
10.0ms
(* (cos a) (cos b))
34.0ms
(/ 1 (- (* (cos a) (cos b)) (* (sin a) (sin b))))
12.0ms
(* (sin a) (sin b))
70.0ms
(* (* r (sin b)) (/ 1 (- (* (cos a) (cos b)) (* (sin a) (sin b)))))

series427.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* (cos a) (cos b))
105.0ms
(/ 1 (- (* (cos a) (cos b)) (* (sin a) (sin b))))
50.0ms
(* (sin a) (sin b))
230.0ms
(* (* r (sin b)) (/ 1 (- (* (cos a) (cos b)) (* (sin a) (sin b)))))

simplify68.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
05061293
123901115
250021087

prune325.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (cos a) (cos b)) (* (sin a) (sin b)))
0.3b
(* (* (cos a) (cos b)) (* (cos a) (cos b)))
0.4b
(pow (* (sin a) (sin b)) 3)
0.5b
(pow (* (cos a) (cos b)) 3)

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
34×add-exp-log add-cbrt-cube
27×pow-prod-down
18×prod-exp cbrt-unprod
7×cos-mult
6×add-sqr-sqrt add-cube-cbrt pow-unpow *-un-lft-identity
4×pow-pow pow-exp pow-sqr pow-prod-up add-log-exp rem-cube-cbrt
3×sin-mult
2×cube-div cube-mult frac-times pow-to-exp unpow-prod-down pow-plus unpow3 cube-prod associate-*r/ associate-*r* associate-*l* associate-*l/ *-commutative sqr-pow
1×pow2 swap-sqr
Counts
4 → 108
Calls
4 calls:
42.0ms
(* (* (cos a) (cos b)) (* (sin a) (sin b)))
41.0ms
(* (* (cos a) (cos b)) (* (cos a) (cos b)))
9.0ms
(pow (* (sin a) (sin b)) 3)
8.0ms
(pow (* (cos a) (cos b)) 3)

series302.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(* (* (cos a) (cos b)) (* (sin a) (sin b)))
58.0ms
(* (* (cos a) (cos b)) (* (cos a) (cos b)))
69.0ms
(pow (* (sin a) (sin b)) 3)
66.0ms
(pow (* (cos a) (cos b)) 3)

simplify79.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0441630
12258582
25001582

prune334.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes149.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02011
12011

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.2s2912×body1280valid
478.0ms1858×body640valid
146.0ms767×body320valid
111.0ms2114×body80valid
45.0ms353×body160valid