Details

Time bar (total: 36.2s)

sample481.0ms

Algorithm
intervals
Results
227.0ms125×body1280valid
150.0ms75×body640valid
34.0ms256×pre80true
18.0ms17×body320valid
7.0ms11×body160valid
6.0ms28×body80valid

simplify226.0ms

Counts
1 → 1

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.3b

localize31.0ms

Local error

Found 3 expressions with local error:

3.7b
(tan (+ y z))
0.1b
(- (tan (+ y z)) (tan a))
0.1b
(+ x (- (tan (+ y z)) (tan a)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
19×add-sqr-sqrt
18×prod-diff
17×add-cube-cbrt
11×associate-+r+
10×add-log-exp
4×tan-quot
3×expm1-log1p-u pow1 fma-def add-cbrt-cube fma-neg add-exp-log insert-posit16 log1p-expm1-u
2×tan-sum sum-log sub-neg diff-log frac-sub distribute-lft-out distribute-lft-out--
1×+-commutative associate-+r- flip3-+ flip3-- flip-+ flip-- difference-of-squares
Counts
3 → 75
Calls
3 calls:
Slowest
23.0ms
(+ x (- (tan (+ y z)) (tan a)))
13.0ms
(- (tan (+ y z)) (tan a))
5.0ms
(tan (+ y z))

series446.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
198.0ms
(+ x (- (tan (+ y z)) (tan a)))
174.0ms
(- (tan (+ y z)) (tan a))
74.0ms
(tan (+ y z))

simplify750.0ms

Counts
84 → 84

prune1.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (tan y) (tan z))
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))))

rewrite298.0ms

Algorithm
rewrite-expression-head
Rules
165×*-un-lft-identity
115×add-sqr-sqrt
108×prod-diff add-cube-cbrt
97×times-frac
56×associate-+r+
27×distribute-lft-out
18×fma-neg
16×associate-/r/
11×add-log-exp
9×flip3-- flip--
8×add-cbrt-cube add-exp-log div-inv
7×tan-quot
6×pow1
4×expm1-log1p-u insert-posit16 log1p-expm1-u associate-/l*
3×associate-/r* fma-def associate-*r* associate-*l* associate-/l/
2×sum-log sub-neg flip3-+ diff-log flip-+ distribute-lft-out-- difference-of-squares
1×frac-times cbrt-undiv +-commutative clear-num associate-+r- frac-2neg div-exp pow-prod-down associate-*l/ frac-add prod-exp associate-*r/ *-commutative frac-sub cbrt-unprod unswap-sqr
Counts
4 → 231
Calls
4 calls:
Slowest
145.0ms
(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
78.0ms
(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
39.0ms
(* (tan y) (tan z))
30.0ms
(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))

series1.7s

Counts
4 → 12
Calls
4 calls:
Slowest
558.0ms
(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
538.0ms
(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
419.0ms
(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
158.0ms
(* (tan y) (tan z))

simplify989.0ms

Counts
243 → 243

prune4.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (tan y) (tan z))
0.3b
(* (tan y) (tan z))
0.3b
(* (tan y) (tan z))
0.2b
(* (* (tan y) (tan z)) (* (tan y) (tan z)))

rewrite185.0ms

Algorithm
rewrite-expression-head
Rules
49×pow1
44×tan-quot
22×add-cbrt-cube add-exp-log
20×frac-times pow-prod-down
16×add-sqr-sqrt
14×associate-*l/ associate-*r/
11×prod-exp cbrt-unprod
10×*-un-lft-identity associate-*r* associate-*l* add-cube-cbrt
4×expm1-log1p-u pow-sqr *-commutative pow-prod-up insert-posit16 log1p-expm1-u add-log-exp
3×unswap-sqr
2×pow-plus
1×pow2 swap-sqr
Counts
4 → 124
Calls
4 calls:
Slowest
118.0ms
(* (* (tan y) (tan z)) (* (tan y) (tan z)))
34.0ms
(* (tan y) (tan z))
17.0ms
(* (tan y) (tan z))
14.0ms
(* (tan y) (tan z))

series708.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
200.0ms
(* (tan y) (tan z))
188.0ms
(* (* (tan y) (tan z)) (* (tan y) (tan z)))
169.0ms
(* (tan y) (tan z))
151.0ms
(* (tan y) (tan z))

simplify2.1s

Counts
136 → 136

prune2.5s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (tan y) (tan z))
0.3b
(* (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)))
0.2b
(* (+ (tan y) (tan z)) (cos a))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
19×associate-*l/
18×add-sqr-sqrt
15×add-cbrt-cube add-exp-log
14×*-un-lft-identity tan-quot
12×add-cube-cbrt
10×pow1 associate-*l*
9×associate-*r*
8×associate-/l/
6×frac-sub
5×flip3-- flip--
4×expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×flip3-+ times-frac pow-prod-down frac-add *-commutative flip-+ associate-/l* unswap-sqr
2×frac-times cbrt-undiv div-exp associate-*r/ associate-/r/
1×clear-num associate-/r* frac-2neg div-sub div-inv distribute-lft-out
Counts
4 → 108
Calls
4 calls:
Slowest
49.0ms
(/ (- (* (+ (tan y) (tan z)) (cos a)) (* (- 1 (* (tan y) (tan z))) (sin a))) (* (- 1 (* (tan y) (tan z))) (cos a)))
26.0ms
(* (+ (tan y) (tan z)) (cos a))
19.0ms
(* (tan y) (tan z))
14.0ms
(* (tan y) (tan z))

series1.3s

Counts
4 → 12
Calls
4 calls:
Slowest
791.0ms
(/ (- (* (+ (tan y) (tan z)) (cos a)) (* (- 1 (* (tan y) (tan z))) (sin a))) (* (- 1 (* (tan y) (tan z))) (cos a)))
265.0ms
(* (+ (tan y) (tan z)) (cos a))
148.0ms
(* (tan y) (tan z))
142.0ms
(* (tan y) (tan z))

simplify1.2s

Counts
120 → 120

prune2.2s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes466.0ms

Accuracy

0% (0.1b remaining)

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

bsearch3.0ms

end0.0ms

sample15.4s

Algorithm
intervals
Results
9.0s3916×body1280valid
3.2s1912×body640valid
1.1s8000×pre80true
735.0ms1172×body80valid
643.0ms703×body320valid
210.0ms297×body160valid