Details

Time bar (total: 5.6s)

sample78.0ms

Algorithm
intervals
Results
42.0ms101×body1280valid
14.0ms55×body640valid
6.0ms25×body320valid
3.0ms64×body80valid
1.0ms11×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: 14.7b

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b
(* r (sin b))
0.3b
(/ (* r (sin b)) (cos (+ a b)))
3.5b
(cos (+ a b))

rewrite22.0ms

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:
4.0ms
(* r (sin b))
4.0ms
(/ (* r (sin b)) (cos (+ a b)))
7.0ms
(cos (+ a b))

series158.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(* r (sin b))
96.0ms
(/ (* r (sin b)) (cos (+ a b)))
24.0ms
(cos (+ a b))

simplify33.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0198305
1861257
25001256

prune142.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* r (sin b))
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))))

rewrite24.0ms

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:
3.0ms
(* r (sin b))
5.0ms
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
4.0ms
(* (sin a) (sin b))
9.0ms
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))

series384.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* r (sin b))
83.0ms
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
44.0ms
(* (sin a) (sin b))
219.0ms
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))

simplify52.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0344770
11513673
25001663

prune275.0ms

Pruning

9 alts after pruning (9 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
(/ (sin b) (- (* (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))

rewrite49.0ms

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)))
8.0ms
(/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))))
27.0ms
(* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b)))))
5.0ms
(* (sin a) (sin b))

series470.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(- (* (cos b) (cos a)) (* (sin a) (sin b)))
115.0ms
(/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))))
226.0ms
(* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b)))))
45.0ms
(* (sin a) (sin b))

simplify56.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
04011307
117341182
250021178

prune367.0ms

Pruning

9 alts after pruning (8 fresh and 1 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
(/ (- (* (cos a) (cos b)) (* (sin a) (sin b))) (sin b))
0.2b
(* (sin a) (sin b))
0.2b
(/ r (/ (- (* (cos a) (cos b)) (* (sin a) (sin b))) (sin b)))

rewrite35.0ms

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)))
10.0ms
(/ (- (* (cos a) (cos b)) (* (sin a) (sin b))) (sin b))
4.0ms
(* (sin a) (sin b))
10.0ms
(/ r (/ (- (* (cos a) (cos b)) (* (sin a) (sin b))) (sin b)))

series470.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
115.0ms
(/ (- (* (cos a) (cos b)) (* (sin a) (sin b))) (sin b))
48.0ms
(* (sin a) (sin b))
223.0ms
(/ r (/ (- (* (cos a) (cos b)) (* (sin a) (sin b))) (sin b)))

simplify71.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05702147
124532011
250011990

prune470.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes130.0ms

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

sample2.3s

Algorithm
intervals
Results
1.3s2973×body1280valid
471.0ms1757×body640valid
135.0ms750×body320valid
127.0ms2171×body80valid
50.0ms351×body160valid