Details

Time bar (total: 5.8s)

sample331.0ms

Algorithm
intervals
Results
41.0ms96×body1280valid
14.0ms53×body640valid
7.0ms21×body320valid
6.0ms74×body80valid
2.0ms12×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: 16.5b

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)))
2.1b
(cos (+ a b))

rewrite31.0ms

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:
8.0ms
(* r (/ (sin b) (cos (+ a b))))
3.0ms
(/ (sin b) (cos (+ a b)))
7.0ms
(cos (+ a b))

series154.0ms

Counts
3 → 9
Calls
3 calls:
93.0ms
(* r (/ (sin b) (cos (+ a b))))
37.0ms
(/ (sin b) (cos (+ a b)))
24.0ms
(cos (+ a b))

simplify39.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0252536
11064480
25001477

prune199.0ms

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)))))
0.3b
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))

rewrite45.0ms

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)))
4.0ms
(* (sin a) (sin b))
24.0ms
(* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
8.0ms
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))

series454.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(- (* (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)))))
111.0ms
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))

simplify59.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
04051307
117611182
250011173

prune382.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×add-exp-log add-cbrt-cube
10×add-cube-cbrt *-un-lft-identity
8×pow1
6×associate-*r* associate-*l* add-log-exp
5×sin-mult
4×associate-/r/ cos-mult
3×times-frac prod-exp associate-/r* cbrt-unprod
2×cbrt-undiv flip3-- div-exp pow-prod-down *-commutative frac-sub flip-- sub-div unswap-sqr
1×sub-neg frac-2neg diff-log clear-num div-inv associate-/l*
Counts
4 → 76
Calls
4 calls:
7.0ms
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
3.0ms
(* r (sin b))
4.0ms
(* (sin a) (sin b))
9.0ms
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))

series365.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
38.0ms
(* r (sin b))
42.0ms
(* (sin a) (sin b))
206.0ms
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))

simplify47.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0344770
11513673
25002663

prune271.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sin a) (sin b))
0.2b
(/ (* r (sin b)) (- (* (cos a) (cos b)) (cbrt (pow (* (sin a) (sin b)) 3))))
0.3b
(pow (* (sin a) (sin b)) 3)
25.3b
(cbrt (pow (* (sin a) (sin b)) 3))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
12×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
9×pow1
8×cbrt-prod
4×sin-mult add-log-exp
3×cube-div pow-unpow times-frac associate-*r* associate-*l* prod-exp associate-/r* associate-/r/ cbrt-unprod
2×cbrt-undiv cube-mult unpow-prod-down cbrt-div pow-pow unpow3 cube-prod div-exp pow-prod-down pow-exp rem-cube-cbrt sqr-pow
1×pow-to-exp flip3-- frac-2neg pow1/3 clear-num cos-mult *-commutative frac-sub flip-- rem-cbrt-cube div-inv associate-/l* unswap-sqr
Counts
4 → 84
Calls
4 calls:
4.0ms
(* (sin a) (sin b))
13.0ms
(/ (* r (sin b)) (- (* (cos a) (cos b)) (cbrt (pow (* (sin a) (sin b)) 3))))
3.0ms
(pow (* (sin a) (sin b)) 3)
2.0ms
(cbrt (pow (* (sin a) (sin b)) 3))

series357.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* (sin a) (sin b))
208.0ms
(/ (* r (sin b)) (- (* (cos a) (cos b)) (cbrt (pow (* (sin a) (sin b)) 3))))
60.0ms
(pow (* (sin a) (sin b)) 3)
47.0ms
(cbrt (pow (* (sin a) (sin b)) 3))

simplify52.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0386788
11812681
25002671

prune296.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes149.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01510
11510

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.3s2974×body1280valid
506.0ms1833×body640valid
160.0ms2111×body80valid
140.0ms739×body320valid
56.0ms344×body160valid