Details

Time bar (total: 6.7s)

sample387.0ms

Algorithm
intervals
Results
40.0ms96×body1280valid
25.0ms67×body80valid
17.0ms61×body640valid
4.0ms21×body320valid
1.0ms11×body160valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0125
1165
2205
3215
4215

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.8b

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)))
5.4b
(cos (+ a b))

rewrite40.0ms

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:
17.0ms
(* r (/ (sin b) (cos (+ a b))))
9.0ms
(/ (sin b) (cos (+ a b)))
11.0ms
(cos (+ a b))

series150.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(* r (/ (sin b) (cos (+ a b))))
35.0ms
(/ (sin b) (cos (+ a b)))
29.0ms
(cos (+ a b))

simplify40.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0263560
11093504
25002504

prune212.0ms

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
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
0.2b
(* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
0.2b
(* (sin a) (sin b))
0.3b
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))

rewrite126.0ms

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:
16.0ms
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
68.0ms
(* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
13.0ms
(* (sin a) (sin b))
25.0ms
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))

series411.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
192.0ms
(* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
43.0ms
(* (sin a) (sin b))
103.0ms
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))

simplify56.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04321384
118471255
250011249

prune404.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* (cos a) (cos b)) (expm1 (log1p (* (sin a) (sin b)))))
0.2b
(* r (/ (sin b) (- (* (cos a) (cos b)) (expm1 (log1p (* (sin a) (sin b)))))))
0.2b
(* (sin a) (sin b))
0.3b
(/ (sin b) (- (* (cos a) (cos b)) (expm1 (log1p (* (sin a) (sin b))))))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
23×add-cube-cbrt *-un-lft-identity
19×times-frac
18×associate-*r*
13×add-exp-log add-cbrt-cube
8×pow1
6×associate-*l* add-log-exp
4×expm1-log1p-u associate-/r/ log1p-expm1-u
3×flip3-- prod-diff prod-exp associate-/r* flip-- cbrt-unprod associate-/l* unswap-sqr
2×cbrt-undiv div-exp pow-prod-down *-commutative div-inv
1×sub-neg frac-2neg fma-neg diff-log associate-*r/ clear-num sin-mult expm1-udef associate--r-
Counts
4 → 107
Calls
4 calls:
11.0ms
(- (* (cos a) (cos b)) (expm1 (log1p (* (sin a) (sin b)))))
48.0ms
(* r (/ (sin b) (- (* (cos a) (cos b)) (expm1 (log1p (* (sin a) (sin b)))))))
11.0ms
(* (sin a) (sin b))
22.0ms
(/ (sin b) (- (* (cos a) (cos b)) (expm1 (log1p (* (sin a) (sin b))))))

series518.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(- (* (cos a) (cos b)) (expm1 (log1p (* (sin a) (sin b)))))
235.0ms
(* r (/ (sin b) (- (* (cos a) (cos b)) (expm1 (log1p (* (sin a) (sin b)))))))
42.0ms
(* (sin a) (sin b))
136.0ms
(/ (sin b) (- (* (cos a) (cos b)) (expm1 (log1p (* (sin a) (sin b))))))

simplify60.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
04361600
118751337
250021333

prune450.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* (cos a) (cos b)) (expm1 (log1p (* (sin a) (sin b)))))
0.2b
(* r (/ (sin b) (pow (- (* (cos a) (cos b)) (expm1 (log1p (* (sin a) (sin b))))) 1)))
0.2b
(* (sin a) (sin b))
0.3b
(/ (sin b) (pow (- (* (cos a) (cos b)) (expm1 (log1p (* (sin a) (sin b))))) 1))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
45×times-frac
38×add-cube-cbrt *-un-lft-identity
28×associate-*r*
22×unpow-prod-down
21×add-exp-log
13×add-cbrt-cube
8×pow1 sqr-pow
7×associate-/r*
6×div-exp associate-*l* add-log-exp
5×prod-exp unswap-sqr
4×expm1-log1p-u log1p-expm1-u
3×prod-diff cbrt-unprod associate-/l*
2×cbrt-undiv pow-to-exp pow-prod-down pow-exp *-commutative div-inv
1×sub-neg flip3-- frac-2neg fma-neg diff-log associate-*r/ clear-num flip-- sin-mult expm1-udef associate--r-
Counts
4 → 137
Calls
4 calls:
11.0ms
(- (* (cos a) (cos b)) (expm1 (log1p (* (sin a) (sin b)))))
69.0ms
(* r (/ (sin b) (pow (- (* (cos a) (cos b)) (expm1 (log1p (* (sin a) (sin b))))) 1)))
11.0ms
(* (sin a) (sin b))
27.0ms
(/ (sin b) (pow (- (* (cos a) (cos b)) (expm1 (log1p (* (sin a) (sin b))))) 1))

series523.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(- (* (cos a) (cos b)) (expm1 (log1p (* (sin a) (sin b)))))
234.0ms
(* r (/ (sin b) (pow (- (* (cos a) (cos b)) (expm1 (log1p (* (sin a) (sin b))))) 1)))
45.0ms
(* (sin a) (sin b))
134.0ms
(/ (sin b) (pow (- (* (cos a) (cos b)) (expm1 (log1p (* (sin a) (sin b))))) 1))

simplify71.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05262218
122851806
250011722

prune473.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

regimes193.0ms

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
02113
12113

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.3s3021×body1280valid
427.0ms1781×body640valid
155.0ms813×body320valid
110.0ms2054×body80valid
40.0ms332×body160valid