Details

Time bar (total: 23.6s)

analyze17.2s

Algorithm
search
Search
TrueOtherFalseIter
0%0.2%99.8%0
0%0.2%99.8%1
0%0.2%99.8%2
0%0.2%99.8%3
0%0.2%99.8%4
0%0.2%99.8%5
0%0.2%99.8%6
0%0.2%99.8%7
0%0.2%99.8%8
0%0.2%99.8%9
0%0.2%99.8%10
0%0.2%99.8%11
0%0.2%99.8%12
0%0.2%99.8%13
0%0.2%99.8%14

sample130.0ms

Algorithm
intervals
Results
68.0ms116×body1280valid
19.0ms256×pre80true
19.0ms75×body640valid
4.0ms21×body320valid
2.0ms34×body80valid
1.0ms10×body160valid

simplify437.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
01939
11939

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 15.1b

Counts
2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b
(+ x (- (tan (+ y z)) (tan a)))
0.2b
(- (tan (+ y z)) (tan a))
2.3b
(tan (+ y z))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity add-log-exp
5×add-sqr-sqrt
4×tan-quot
3×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
2×sub-neg tan-sum diff-log sum-log frac-sub distribute-lft-out distribute-lft-out--
1×+-commutative associate-+r- associate-+r+ flip3-- flip3-+ flip-- flip-+ difference-of-squares
Counts
3 → 40
Calls
3 calls:
5.0ms
(+ x (- (tan (+ y z)) (tan a)))
6.0ms
(- (tan (+ y z)) (tan a))
6.0ms
(tan (+ y z))

series109.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(+ x (- (tan (+ y z)) (tan a)))
43.0ms
(- (tan (+ y z)) (tan a))
25.0ms
(tan (+ y z))

simplify36.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
05046561

prune97.0ms

Filtered
39 candidates to 49 candidates (-25.6%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New44549
Fresh000
Picked101
Done000
Total45550

Merged error: 0.1b

Counts
50 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
0.1b
(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
0.1b
(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
0.3b
(* (tan y) (tan z))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
22×add-sqr-sqrt
15×add-cube-cbrt
13×times-frac
11×add-log-exp
8×add-exp-log add-cbrt-cube
7×tan-quot
6×pow1 distribute-lft-out
4×associate-/l*
3×associate-*r* associate-*l* associate-/r* associate-/l/
2×sub-neg flip3-- flip3-+ diff-log sum-log associate-/r/ flip-- flip-+ distribute-lft-out-- difference-of-squares
1×cbrt-undiv +-commutative frac-times associate-+r- associate-+r+ frac-2neg associate-*r/ div-exp pow-prod-down associate-*l/ frac-add prod-exp clear-num *-commutative frac-sub cbrt-unprod div-inv unswap-sqr
Counts
4 → 88
Calls
4 calls:
16.0ms
(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
12.0ms
(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
8.0ms
(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
5.0ms
(* (tan y) (tan z))

series331.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
122.0ms
(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
56.0ms
(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
23.0ms
(* (tan y) (tan z))

simplify46.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
050681826

prune177.0ms

Filtered
76 candidates to 100 candidates (-31.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New946100
Fresh224
Picked101
Done000
Total978105

Merged error: 0.0b

Counts
105 → 8

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (tan y) (sin z)) (cos z)))) (tan a))
0.1b
(/ (+ (tan y) (tan z)) (- 1 (/ (* (tan y) (sin z)) (cos z))))
0.2b
(/ (* (tan y) (sin z)) (cos z))
0.2b
(* (tan y) (sin z))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
51×*-un-lft-identity
42×add-sqr-sqrt
28×times-frac
20×add-cube-cbrt
13×add-exp-log add-cbrt-cube
12×difference-of-squares
9×associate-/r*
7×distribute-lft-out
6×pow1 distribute-lft-out-- add-log-exp
5×tan-quot associate-/l*
4×associate-/l/
3×cbrt-undiv div-exp associate-*r* associate-*l*
2×flip3-- frac-2neg associate-*l/ prod-exp clear-num associate-/r/ flip-- cbrt-unprod div-inv
1×sub-neg flip3-+ diff-log pow-prod-down frac-add *-commutative frac-sub flip-+ unswap-sqr
Counts
4 → 107
Calls
4 calls:
21.0ms
(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (tan y) (sin z)) (cos z)))) (tan a))
11.0ms
(/ (+ (tan y) (tan z)) (- 1 (/ (* (tan y) (sin z)) (cos z))))
6.0ms
(/ (* (tan y) (sin z)) (cos z))
5.0ms
(* (tan y) (sin z))

series220.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (tan y) (sin z)) (cos z)))) (tan a))
57.0ms
(/ (+ (tan y) (tan z)) (- 1 (/ (* (tan y) (sin z)) (cos z))))
24.0ms
(/ (* (tan y) (sin z)) (cos z))
18.0ms
(* (tan y) (sin z))

simplify46.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
051382224

prune165.0ms

Filtered
86 candidates to 119 candidates (-38.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1190119
Fresh077
Picked011
Done000
Total1198127

Merged error: 0.0b

Counts
127 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (- 1 (* (tan y) (tan z)))) (cbrt (- 1 (* (tan y) (tan z)))))
0.3b
(* (tan y) (tan z))
0.3b
(* (tan y) (tan z))
0.3b
(* (tan y) (tan z))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
17×pow1
16×cbrt-prod
15×associate-*r* associate-*l*
12×tan-quot add-exp-log cbrt-div
10×add-cbrt-cube
7×frac-times unswap-sqr
6×flip3-- pow1/3 swap-sqr flip--
5×associate-*r/ pow-prod-down associate-*l/
4×prod-exp *-commutative cbrt-unprod add-log-exp
2×pow-sqr pow-prod-up
1×pow2 pow-plus
Counts
4 → 111
Calls
4 calls:
14.0ms
(* (cbrt (- 1 (* (tan y) (tan z)))) (cbrt (- 1 (* (tan y) (tan z)))))
6.0ms
(* (tan y) (tan z))
5.0ms
(* (tan y) (tan z))
5.0ms
(* (tan y) (tan z))

series129.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* (cbrt (- 1 (* (tan y) (tan z)))) (cbrt (- 1 (* (tan y) (tan z)))))
22.0ms
(* (tan y) (tan z))
22.0ms
(* (tan y) (tan z))
22.0ms
(* (tan y) (tan z))

simplify69.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
051701357

prune191.0ms

Filtered
83 candidates to 123 candidates (-48.2%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1230123
Fresh066
Picked011
Done011
Total1238131

Merged error: 0.0b

Counts
131 → 8

regimes711.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
011121
111121

end0.0ms

sample3.3s

Algorithm
intervals
Results
1.7s3818×body1280valid
566.0ms8000×pre80true
497.0ms2013×body640valid
127.0ms720×body320valid
65.0ms1159×body80valid
36.0ms290×body160valid

Profiling

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