Details

Time bar (total: 5.3s)

sample75.0ms

Algorithm
intervals
Results
32.0ms80×body1280valid
17.0ms67×body640valid
9.0ms28×body320valid
4.0ms73×body80valid
1.0ms8×body160valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0125
1165
2195
3205
4205

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b
(* r (sin b))
0.3b
(/ (* r (sin b)) (cos (+ a b)))
4.0b
(cos (+ a b))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
5×pow1
3×times-frac associate-*r* associate-*l* associate-/r* add-log-exp
2×cbrt-undiv div-exp prod-exp cbrt-unprod
1×cos-sum frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 47
Calls
3 calls:
9.0ms
(* r (sin b))
12.0ms
(/ (* r (sin b)) (cos (+ a b)))
11.0ms
(cos (+ a b))

series151.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(* r (sin b))
91.0ms
(/ (* r (sin b)) (cos (+ a b)))
22.0ms
(cos (+ a b))

simplify32.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0198305
1861257
25001256

prune133.0ms

Pruning

8 alts after pruning (8 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)))
0.1b
(* r (sin b))
0.2b
(* (sin a) (sin b))
0.2b
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))

rewrite70.0ms

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:
18.0ms
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
9.0ms
(* r (sin b))
11.0ms
(* (sin a) (sin b))
29.0ms
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))

series347.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
37.0ms
(* r (sin b))
41.0ms
(* (sin a) (sin b))
197.0ms
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))

simplify48.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0344770
11513673
25002663

prune273.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite128.0ms

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:
17.0ms
(- (* (cos b) (cos a)) (* (sin a) (sin b)))
70.0ms
(* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b)))))
12.0ms
(* (sin a) (sin b))
27.0ms
(/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))))

series421.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(- (* (cos b) (cos a)) (* (sin a) (sin b)))
201.0ms
(* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b)))))
40.0ms
(* (sin a) (sin b))
104.0ms
(/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))))

simplify53.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04011307
117331182
250011178

prune360.0ms

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
(/ (* r (sin b)) (- (* (cos a) (cos b)) (cbrt (pow (* (sin a) (sin b)) 3))))
0.3b
(pow (* (sin a) (sin b)) 3)
26.3b
(cbrt (pow (* (sin a) (sin b)) 3))

rewrite62.0ms

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:
11.0ms
(* (sin a) (sin b))
36.0ms
(/ (* r (sin b)) (- (* (cos a) (cos b)) (cbrt (pow (* (sin a) (sin b)) 3))))
8.0ms
(pow (* (sin a) (sin b)) 3)
4.0ms
(cbrt (pow (* (sin a) (sin b)) 3))

series348.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* (sin a) (sin b))
199.0ms
(/ (* r (sin b)) (- (* (cos a) (cos b)) (cbrt (pow (* (sin a) (sin b)) 3))))
62.0ms
(pow (* (sin a) (sin b)) 3)
42.0ms
(cbrt (pow (* (sin a) (sin b)) 3))

simplify51.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0386791
11812683
25001673

prune283.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes137.0ms

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
1.2s2898×body1280valid
470.0ms1892×body640valid
127.0ms752×body320valid
113.0ms2125×body80valid
40.0ms334×body160valid