Details

Time bar (total: 5.8s)

sample73.0ms

Algorithm
intervals
Results
37.0ms90×body1280valid
16.0ms61×body640valid
4.0ms75×body80valid
3.0ms16×body320valid
2.0ms14×body160valid

simplify8.0ms

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: 13.5b

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b
(* r (sin b))
0.3b
(/ (* r (sin b)) (cos (+ a b)))
2.8b
(cos (+ a b))

rewrite23.0ms

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))
5.0ms
(/ (* r (sin b)) (cos (+ a b)))
6.0ms
(cos (+ a b))

series156.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(* r (sin b))
95.0ms
(/ (* r (sin b)) (cos (+ a b)))
24.0ms
(cos (+ a b))

simplify32.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0198305
1861257
25001256

prune153.0ms

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)))
0.1b
(* r (sin b))
0.2b
(* (sin a) (sin b))
0.3b
(/ (* 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:
5.0ms
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
4.0ms
(* r (sin b))
5.0ms
(* (sin a) (sin b))
9.0ms
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))

series381.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
36.0ms
(* r (sin b))
43.0ms
(* (sin a) (sin b))
218.0ms
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))

simplify52.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0344770
11513673
25002663

prune312.0ms

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 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))))

rewrite32.0ms

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 b) (cos a)) (* (sin a) (sin b)))
11.0ms
(* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b)))))
5.0ms
(* (sin a) (sin b))
8.0ms
(/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))))

series456.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(- (* (cos b) (cos a)) (* (sin a) (sin b)))
214.0ms
(* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b)))))
48.0ms
(* (sin a) (sin b))
111.0ms
(/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))))

simplify54.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04011307
117331182
250011178

prune409.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
58×add-sqr-sqrt
56×add-cube-cbrt *-un-lft-identity
16×associate-/r*
13×add-exp-log add-cbrt-cube
6×pow1 div-inv associate-/l* add-log-exp
5×sin-mult
4×cbrt-undiv div-exp cos-mult associate-/l/
3×associate-*r* associate-*l*
2×flip3-- frac-2neg clear-num frac-sub flip-- sub-div
1×sub-neg diff-log div-sub pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod unswap-sqr
Counts
4 → 135
Calls
4 calls:
5.0ms
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
5.0ms
(* (sin a) (sin b))
7.0ms
(/ r (/ (- (* (cos a) (cos b)) (* (sin a) (sin b))) (sin b)))
8.0ms
(/ (- (* (cos a) (cos b)) (* (sin a) (sin b))) (sin b))

series468.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
43.0ms
(* (sin a) (sin b))
228.0ms
(/ r (/ (- (* (cos a) (cos b)) (* (sin a) (sin b))) (sin b)))
113.0ms
(/ (- (* (cos a) (cos b)) (* (sin a) (sin b))) (sin b))

simplify80.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
05702147
124532011
250011990

prune501.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

regimes225.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0179
1199
2199

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.2s2887×body1280valid
473.0ms1848×body640valid
147.0ms786×body320valid
127.0ms2130×body80valid
45.0ms351×body160valid