Details

Time bar (total: 5.9s)

sample322.0ms

Algorithm
intervals
Results
42.0ms93×body1280valid
12.0ms46×body640valid
6.0ms32×body320valid
4.0ms74×body80valid
1.0ms11×body160valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0125
1165
2205
3215
4215

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (sin b) (cos (+ a b)))
0.2b
(* r (/ (sin b) (cos (+ a b))))
3.7b
(cos (+ a b))

rewrite22.0ms

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×expm1-log1p-u associate-*l* associate-/r* log1p-expm1-u 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 → 73
Calls
3 calls:
3.0ms
(/ (sin b) (cos (+ a b)))
9.0ms
(* r (/ (sin b) (cos (+ a b))))
7.0ms
(cos (+ a b))

series172.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ (sin b) (cos (+ a b)))
99.0ms
(* r (/ (sin b) (cos (+ a b))))
36.0ms
(cos (+ a b))

simplify42.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0263560
11093504
25001504

prune229.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.2b

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 (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
0.2b
(/ (sin b) (- (* (cos a) (cos b)) (* (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
4×expm1-log1p-u log1p-expm1-u
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 fma-neg diff-log associate-*r/ prod-diff clear-num
Counts
4 → 110
Calls
4 calls:
5.0ms
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
4.0ms
(* (sin a) (sin b))
27.0ms
(* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
9.0ms
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))

series454.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
47.0ms
(* (sin a) (sin b))
211.0ms
(* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
113.0ms
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))

simplify60.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
04321385
118471256
250021249

prune427.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
19×times-frac
16×associate-*r*
13×add-exp-log add-cbrt-cube
8×pow1
6×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×prod-exp associate-/r* cbrt-unprod associate-/l* unswap-sqr
2×cbrt-undiv div-exp pow-prod-down *-commutative div-inv
1×frac-2neg associate-*r/ clear-num fma-udef sin-mult
Counts
4 → 94
Calls
4 calls:
0.0ms
(fma (cos a) (cos b) (- (* (sin a) (sin b))))
4.0ms
(* (sin a) (sin b))
10.0ms
(* r (/ (sin b) (fma (cos a) (cos b) (- (* (sin a) (sin b))))))
3.0ms
(/ (sin b) (fma (cos a) (cos b) (- (* (sin a) (sin b)))))

series454.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(fma (cos a) (cos b) (- (* (sin a) (sin b))))
46.0ms
(* (sin a) (sin b))
213.0ms
(* r (/ (sin b) (fma (cos a) (cos b) (- (* (sin a) (sin b))))))
113.0ms
(/ (sin b) (fma (cos a) (cos b) (- (* (sin a) (sin b)))))

simplify49.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
03291173
114131043
250011043

prune388.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

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*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac prod-exp associate-/r* cbrt-unprod
2×cbrt-undiv div-exp pow-prod-down *-commutative unswap-sqr
1×frac-2neg clear-num fma-udef div-inv sin-mult associate-/l*
Counts
4 → 74
Calls
4 calls:
3.0ms
(* r (sin b))
0.0ms
(fma (cos a) (cos b) (- (* (sin a) (sin b))))
4.0ms
(* (sin a) (sin b))
4.0ms
(/ (* r (sin b)) (fma (cos a) (cos b) (- (* (sin a) (sin b)))))

series382.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* r (sin b))
82.0ms
(fma (cos a) (cos b) (- (* (sin a) (sin b))))
47.0ms
(* (sin a) (sin b))
216.0ms
(/ (* r (sin b)) (fma (cos a) (cos b) (- (* (sin a) (sin b)))))

simplify39.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0273680
11161578
25002578

prune263.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

regimes160.0ms

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
01712
11712

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.2s2893×body1280valid
498.0ms1890×body640valid
135.0ms764×body320valid
123.0ms2088×body80valid
47.0ms365×body160valid