Details

Time bar (total: 6.4s)

sample334.0ms

Algorithm
intervals
Results
43.0ms90×body1280valid
17.0ms56×body640valid
8.0ms74×body80valid
5.0ms21×body320valid
2.0ms15×body160valid

simplify13.0ms

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: 13.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b
(* r (/ (sin b) (cos (+ a b))))
0.2b
(/ (sin b) (cos (+ a b)))
2.7b
(cos (+ a b))

rewrite33.0ms

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:
9.0ms
(* r (/ (sin b) (cos (+ a b))))
3.0ms
(/ (sin b) (cos (+ a b)))
8.0ms
(cos (+ a b))

series160.0ms

Counts
3 → 9
Calls
3 calls:
99.0ms
(* r (/ (sin b) (cos (+ a b))))
37.0ms
(/ (sin b) (cos (+ a b)))
24.0ms
(cos (+ a b))

simplify42.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0263560
11093504
25002504

prune224.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (cos a) (cos 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))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
24×add-cube-cbrt *-un-lft-identity
23×associate-*r*
19×times-frac
15×add-exp-log add-cbrt-cube
10×pow1
9×associate-*l*
8×associate-/r/
5×cos-mult sin-mult
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down associate-/r* *-commutative associate-/l*
2×cbrt-undiv flip3-- div-exp frac-sub flip-- div-inv sub-div
1×frac-2neg associate-*r/ clear-num
Counts
4 → 113
Calls
4 calls:
4.0ms
(* (cos a) (cos b))
4.0ms
(* (sin a) (sin b))
27.0ms
(* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
8.0ms
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))

series407.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (cos a) (cos b))
46.0ms
(* (sin a) (sin b))
211.0ms
(* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
111.0ms
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))

simplify61.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
04451273
119101154
250011152

prune416.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* r (/ (sin b) (- (* (cos a) (cos b)) (cbrt (pow (* (sin a) (sin b)) 3)))))
0.2b
(/ (sin b) (- (* (cos a) (cos b)) (cbrt (pow (* (sin a) (sin b)) 3))))
0.3b
(pow (* (sin a) (sin b)) 3)
29.4b
(cbrt (pow (* (sin a) (sin b)) 3))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
19×times-frac
16×associate-*r*
14×add-exp-log add-cbrt-cube
9×pow1
8×cbrt-prod
6×associate-/r/
4×cube-div expm1-log1p-u log1p-expm1-u sin-mult add-log-exp
3×pow-unpow cbrt-div associate-*l* prod-exp associate-/r* cbrt-unprod associate-/l*
2×cbrt-undiv cube-mult unpow-prod-down flip3-- pow-pow unpow3 cube-prod div-exp pow-prod-down pow-exp cos-mult frac-sub flip-- div-inv rem-cube-cbrt unswap-sqr sqr-pow
1×pow-to-exp frac-2neg pow1/3 associate-*r/ clear-num *-commutative rem-cbrt-cube
Counts
4 → 114
Calls
4 calls:
33.0ms
(* r (/ (sin b) (- (* (cos a) (cos b)) (cbrt (pow (* (sin a) (sin b)) 3)))))
14.0ms
(/ (sin b) (- (* (cos a) (cos b)) (cbrt (pow (* (sin a) (sin b)) 3))))
3.0ms
(pow (* (sin a) (sin b)) 3)
2.0ms
(cbrt (pow (* (sin a) (sin b)) 3))

series434.0ms

Counts
4 → 12
Calls
4 calls:
214.0ms
(* r (/ (sin b) (- (* (cos a) (cos b)) (cbrt (pow (* (sin a) (sin b)) 3)))))
110.0ms
(/ (sin b) (- (* (cos a) (cos b)) (cbrt (pow (* (sin a) (sin b)) 3))))
65.0ms
(pow (* (sin a) (sin b)) 3)
45.0ms
(cbrt (pow (* (sin a) (sin b)) 3))

simplify68.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
04571467
120631288
250011279

prune478.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (sin a) (sin b)) (* (sin a) (sin b)))
0.3b
(* (cbrt (* (* (sin a) (sin b)) (* (sin a) (sin b)))) (cbrt (* (sin a) (sin b))))
7.0b
(cbrt (* (sin a) (sin b)))
28.0b
(cbrt (* (* (sin a) (sin b)) (* (sin a) (sin b))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
45×pow1
21×sin-mult
19×pow-prod-down
18×add-exp-log
16×add-cbrt-cube
14×cbrt-div
9×add-sqr-sqrt prod-exp cbrt-unprod
7×frac-times associate-*l/
6×cbrt-prod add-cube-cbrt *-un-lft-identity
5×associate-*r/ associate-*r* associate-*l*
4×expm1-log1p-u pow1/3 pow-sqr pow-prod-up log1p-expm1-u add-log-exp
2×pow-plus *-commutative unswap-sqr
1×pow2 swap-sqr pow3
Counts
4 → 97
Calls
4 calls:
14.0ms
(* (* (sin a) (sin b)) (* (sin a) (sin b)))
18.0ms
(* (cbrt (* (* (sin a) (sin b)) (* (sin a) (sin b)))) (cbrt (* (sin a) (sin b))))
2.0ms
(cbrt (* (sin a) (sin b)))
12.0ms
(cbrt (* (* (sin a) (sin b)) (* (sin a) (sin b))))

series309.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(* (* (sin a) (sin b)) (* (sin a) (sin b)))
51.0ms
(* (cbrt (* (* (sin a) (sin b)) (* (sin a) (sin b)))) (cbrt (* (sin a) (sin b))))
92.0ms
(cbrt (* (sin a) (sin b)))
108.0ms
(cbrt (* (* (sin a) (sin b)) (* (sin a) (sin b))))

simplify47.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
03431048
11423867
25001820

prune381.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes162.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02020
12020

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.4s2998×body1280valid
560.0ms1813×body640valid
172.0ms735×body320valid
154.0ms2114×body80valid
54.0ms340×body160valid