Details

Time bar (total: 4.3s)

analyze711.0ms

Algorithm
search

sample43.0ms

Algorithm
intervals
Results
13.0ms47×body1280valid
12.0ms45×body640valid
6.0ms143×body80valid
2.0ms16×body320valid
0.0ms5×body160valid

simplify356.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0139
1219
2269
3349
4379
5379

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(- 1.0 (* (tan x) (tan x)))
0.2b
(/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))
0.2b
(* (tan x) (tan x))
0.2b
(* (tan x) (tan x))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
18×pow1
12×times-frac
10×add-exp-log add-cbrt-cube
8×tan-quot
6×swap-sqr associate-*r* associate-*l* add-log-exp
5×difference-of-squares
4×associate-/l*
3×associate-/r*
2×pow2 frac-times flip3-- pow-plus associate-*r/ pow-prod-down associate-*l/ prod-exp associate-/r/ pow-sqr *-commutative pow-prod-up flip-- cbrt-unprod associate-/l/ unswap-sqr
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-sub div-exp clear-num flip-+ div-inv
Counts
4 → 105
Calls
4 calls:
2.0ms
(- 1.0 (* (tan x) (tan x)))
6.0ms
(/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))
5.0ms
(* (tan x) (tan x))
7.0ms
(* (tan x) (tan x))

series70.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(- 1.0 (* (tan x) (tan x)))
33.0ms
(/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))
9.0ms
(* (tan x) (tan x))
19.0ms
(* (tan x) (tan x))

simplify48.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0314909
11157838
25002824

prune182.0ms

Filtered
77 candidates to 117 candidates (-51.9%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New10611117
Fresh000
Picked101
Done000
Total10711118

Merged error: 0.0b

Counts
118 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (sqrt 1.0) (tan x))
0.2b
(/ (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))) (+ 1.0 (* (tan x) (tan x))))
0.2b
(* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))
0.2b
(* (tan x) (tan x))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
18×*-un-lft-identity
13×pow1 add-exp-log add-cbrt-cube
12×add-cube-cbrt
9×frac-times associate-*r*
8×flip3-+ flip-+ associate-/l/
7×associate-*l*
6×flip3-- flip-- add-log-exp
5×associate-*r/ associate-*l/
4×tan-quot
3×times-frac swap-sqr prod-exp associate-/r* cbrt-unprod
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp pow-prod-down associate-/r/ *-commutative distribute-lft-out difference-of-squares unswap-sqr
1×+-commutative pow2 frac-2neg pow-plus clear-num sum-log sqrt-prod pow-sqr pow-prod-up div-inv associate-/l* distribute-lft-out--
Counts
4 → 105
Calls
4 calls:
4.0ms
(+ (sqrt 1.0) (tan x))
13.0ms
(/ (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))) (+ 1.0 (* (tan x) (tan x))))
13.0ms
(* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))
5.0ms
(* (tan x) (tan x))

series79.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(+ (sqrt 1.0) (tan x))
44.0ms
(/ (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))) (+ 1.0 (* (tan x) (tan x))))
18.0ms
(* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))
9.0ms
(* (tan x) (tan x))

simplify78.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
05171120
12851938
25001923

prune191.0ms

Filtered
84 candidates to 117 candidates (-39.3%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1161117
Fresh3710
Picked011
Done000
Total1199128

Merged error: 0.0b

Counts
128 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (- 1.0 (/ (* (tan x) (sin x)) (cos x))) (+ 1.0 (* (tan x) (tan x))))
0.2b
(/ (* (tan x) (sin x)) (cos x))
0.2b
(* (tan x) (sin x))
0.2b
(* (tan x) (tan x))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
30×*-un-lft-identity
22×add-cube-cbrt
18×times-frac
15×add-exp-log add-cbrt-cube
13×pow1
6×tan-quot associate-*r* associate-*l* associate-/r* associate-/l*
4×distribute-lft-out-- add-log-exp difference-of-squares
3×cbrt-undiv swap-sqr div-exp associate-*l/ prod-exp cbrt-unprod associate-/l/
2×frac-2neg pow-prod-down clear-num associate-/r/ *-commutative div-inv unswap-sqr
1×pow2 frac-times flip3-- flip3-+ pow-plus div-sub associate-*r/ pow-sqr pow-prod-up flip-- flip-+
Counts
4 → 109
Calls
4 calls:
11.0ms
(/ (- 1.0 (/ (* (tan x) (sin x)) (cos x))) (+ 1.0 (* (tan x) (tan x))))
5.0ms
(/ (* (tan x) (sin x)) (cos x))
5.0ms
(* (tan x) (sin x))
5.0ms
(* (tan x) (tan x))

series73.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(/ (- 1.0 (/ (* (tan x) (sin x)) (cos x))) (+ 1.0 (* (tan x) (tan x))))
16.0ms
(/ (* (tan x) (sin x)) (cos x))
11.0ms
(* (tan x) (sin x))
9.0ms
(* (tan x) (tan x))

simplify59.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
04411158
118491060
250021054

prune141.0ms

Filtered
83 candidates to 121 candidates (-45.8%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1201121
Fresh077
Picked011
Done011
Total12010130

Merged error: 0.0b

Counts
130 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- 1.0 (* (tan x) (tan x))) (/ 1 (+ 1.0 (* (tan x) (tan x)))))
0.2b
(/ 1 (+ 1.0 (* (tan x) (tan x))))
0.2b
(* (tan x) (tan x))
0.2b
(* (tan x) (tan x))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
29×*-un-lft-identity
28×add-cube-cbrt
21×pow1 add-exp-log associate-*r*
20×times-frac
15×add-cbrt-cube
10×associate-*l*
8×tan-quot
6×swap-sqr prod-exp
5×unswap-sqr
4×frac-times div-exp associate-*l/ associate-/r/ cbrt-unprod add-log-exp
3×associate-*r/ pow-prod-down associate-/r* *-commutative associate-/l*
2×cbrt-undiv pow2 rec-exp flip3-- flip3-+ pow-plus 1-exp pow-sqr pow-prod-up flip-- flip-+ div-inv
1×pow-flip frac-2neg clear-num un-div-inv inv-pow difference-of-squares
Counts
4 → 132
Calls
4 calls:
10.0ms
(* (- 1.0 (* (tan x) (tan x))) (/ 1 (+ 1.0 (* (tan x) (tan x)))))
4.0ms
(/ 1 (+ 1.0 (* (tan x) (tan x))))
5.0ms
(* (tan x) (tan x))
5.0ms
(* (tan x) (tan x))

series72.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* (- 1.0 (* (tan x) (tan x))) (/ 1 (+ 1.0 (* (tan x) (tan x)))))
19.0ms
(/ 1 (+ 1.0 (* (tan x) (tan x))))
9.0ms
(* (tan x) (tan x))
11.0ms
(* (tan x) (tan x))

simplify56.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
03921134
118131005
25001948

prune117.0ms

Filtered
81 candidates to 144 candidates (-77.8%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1431144
Fresh167
Picked011
Done022
Total14410154

Merged error: 0.0b

Counts
154 → 10

regimes255.0ms

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
01312
11312

end0.0ms

analyze493.0ms

Algorithm
search

sample1.1s

Algorithm
intervals
Results
413.0ms1495×body1280valid
232.0ms1259×body640valid
179.0ms4311×body80valid
80.0ms615×body320valid
30.0ms320×body160valid

Profiling

Loading profile data...