Details

Time bar (total: 40.8s)

analyze17.8s

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

sample127.0ms

Algorithm
intervals
Results
70.0ms137×body1280valid
19.0ms256×pre80true
16.0ms67×body640valid
3.0ms16×body320valid
2.0ms33×body80valid
1.0ms3×body160valid

simplify396.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0219
1219

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 15.8b

Counts
2 → 1

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b
(+ x (- (tan (+ y z)) (tan a)))
0.2b
(- (tan (+ y z)) (tan a))
3.2b
(tan (+ y z))

rewrite28.0ms

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)))
15.0ms
(- (tan (+ y z)) (tan a))
5.0ms
(tan (+ y z))

series108.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(+ x (- (tan (+ y z)) (tan a)))
35.0ms
(- (tan (+ y z)) (tan a))
26.0ms
(tan (+ y z))

simplify58.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04525561
14525561

prune94.0ms

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

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New43649
Fresh000
Picked101
Done000
Total44650

Merged error: 0.1b

Counts
50 → 6

localize19.0ms

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
13×add-sqr-sqrt add-log-exp
7×tan-quot
6×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
3×associate-*r* associate-*l* sum-log distribute-lft-out
2×+-commutative sub-neg flip3-+ diff-log flip-+ distribute-lft-out-- difference-of-squares
1×frac-times associate-+r- associate-+r+ flip3-- times-frac associate-*r/ pow-prod-down associate-*l/ frac-add prod-exp *-commutative frac-sub flip-- cbrt-unprod unswap-sqr
Counts
4 → 65
Calls
4 calls:
12.0ms
(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
4.0ms
(+ (tan y) (tan z))
11.0ms
(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
5.0ms
(* (tan y) (tan z))

series304.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
23.0ms
(+ (tan y) (tan z))
125.0ms
(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
23.0ms
(* (tan y) (tan z))

simplify45.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
054301271

prune133.0ms

Filtered
59 candidates to 77 candidates (-30.5%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New72577
Fresh235
Picked101
Done000
Total75883

Merged error: 0.0b

Counts
83 → 8

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* (+ (tan y) (tan z)) (cos a)) (* (- 1 (* (tan y) (tan z))) (sin a)))
0.2b
(* (tan y) (tan z))
0.2b
(* (tan y) (tan z))
0.3b
(/ (- (* (+ (tan y) (tan z)) (cos a)) (* (- 1 (* (tan y) (tan z))) (sin a))) (* (- 1 (* (tan y) (tan z))) (cos a)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
28×associate-*l/
16×tan-quot
14×add-sqr-sqrt
13×add-exp-log add-cbrt-cube
12×frac-sub
10×add-cube-cbrt *-un-lft-identity
9×flip3-- flip--
8×pow1 associate-/l/
6×associate-*r* associate-*l* add-log-exp
4×flip3-+ frac-add flip-+
3×times-frac prod-exp cbrt-unprod associate-/l*
2×cbrt-undiv frac-times associate-*r/ div-exp pow-prod-down associate-/r/ *-commutative unswap-sqr
1×sub-neg frac-2neg diff-log div-sub clear-num associate-/r* div-inv
Counts
4 → 91
Calls
4 calls:
8.0ms
(- (* (+ (tan y) (tan z)) (cos a)) (* (- 1 (* (tan y) (tan z))) (sin a)))
5.0ms
(* (tan y) (tan z))
5.0ms
(* (tan y) (tan z))
14.0ms
(/ (- (* (+ (tan y) (tan z)) (cos a)) (* (- 1 (* (tan y) (tan z))) (sin a))) (* (- 1 (* (tan y) (tan z))) (cos a)))

series285.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(- (* (+ (tan y) (tan z)) (cos a)) (* (- 1 (* (tan y) (tan z))) (sin a)))
22.0ms
(* (tan y) (tan z))
23.0ms
(* (tan y) (tan z))
157.0ms
(/ (- (* (+ (tan y) (tan z)) (cos a)) (* (- 1 (* (tan y) (tan z))) (sin a))) (* (- 1 (* (tan y) (tan z))) (cos a)))

simplify45.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
051982192

prune171.0ms

Filtered
83 candidates to 103 candidates (-24.1%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1021103
Fresh077
Picked011
Done000
Total1029111

Merged error: 0.0b

Counts
111 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (/ (+ (tan y) (tan z)) (- 1 (cbrt (pow (* (tan y) (tan z)) 3)))) (tan a))
0.2b
(* (tan y) (tan z))
0.3b
(pow (* (tan y) (tan z)) 3)
25.7b
(cbrt (pow (* (tan y) (tan z)) 3))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×tan-quot
10×*-un-lft-identity
9×pow1 add-exp-log add-cbrt-cube
8×cbrt-prod add-cube-cbrt
6×cube-div add-log-exp
3×frac-times pow-unpow cbrt-div associate-*r/ associate-*r* associate-*l* associate-*l/
2×cube-mult unpow-prod-down pow-pow unpow3 cube-prod pow-prod-down pow-exp prod-exp cbrt-unprod rem-cube-cbrt difference-of-squares sqr-pow
1×pow-to-exp sub-neg flip3-- times-frac pow1/3 diff-log *-commutative frac-sub flip-- rem-cbrt-cube distribute-lft-out-- unswap-sqr
Counts
4 → 81
Calls
4 calls:
21.0ms
(- (/ (+ (tan y) (tan z)) (- 1 (cbrt (pow (* (tan y) (tan z)) 3)))) (tan a))
5.0ms
(* (tan y) (tan z))
5.0ms
(pow (* (tan y) (tan z)) 3)
4.0ms
(cbrt (pow (* (tan y) (tan z)) 3))

series211.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(- (/ (+ (tan y) (tan z)) (- 1 (cbrt (pow (* (tan y) (tan z)) 3)))) (tan a))
22.0ms
(* (tan y) (tan z))
39.0ms
(pow (* (tan y) (tan z)) 3)
23.0ms
(cbrt (pow (* (tan y) (tan z)) 3))

simplify35.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
053311085

prune111.0ms

Filtered
67 candidates to 93 candidates (-38.8%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New93093
Fresh077
Picked011
Done011
Total939102

Merged error: 0.0b

Counts
102 → 9

regimes866.0ms

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 (0.0ms)

IterNodesCost
02532
12532

end0.0ms

analyze16.7s

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

sample3.1s

Algorithm
intervals
Results
1.6s3907×body1280valid
552.0ms8000×pre80true
465.0ms1965×body640valid
120.0ms742×body320valid
58.0ms1095×body80valid
34.0ms291×body160valid

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