Details

Time bar (total: 29.4s)

sample470.0ms

Algorithm
intervals
Results
273.0ms129×body1280valid
105.0ms64×body640valid
29.0ms256×pre80true
19.0ms21×body320valid
9.0ms33×body80valid
6.0ms9×body160valid

simplify497.0ms

Counts
1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.2b

localize19.0ms

Local error

Found 3 expressions with local error:

5.4b
(tan (+ y z))
0.2b
(- (tan (+ y z)) (tan a))
0.1b
(+ x (- (tan (+ y z)) (tan a)))

rewrite45.0ms

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
19.0ms
(- (tan (+ y z)) (tan a))
15.0ms
(+ x (- (tan (+ y z)) (tan a)))
10.0ms
(tan (+ y z))

series441.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
185.0ms
(+ x (- (tan (+ y z)) (tan a)))
178.0ms
(- (tan (+ y z)) (tan a))
77.0ms
(tan (+ y z))

simplify2.1s

Counts
84 → 84

prune970.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite138.0ms

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
53.0ms
(* (+ (tan y) (tan z)) (cos a))
50.0ms
(/ (- (* (+ (tan y) (tan z)) (cos a)) (* (- 1 (* (tan y) (tan z))) (sin a))) (* (- 1 (* (tan y) (tan z))) (cos a)))
18.0ms
(* (tan y) (tan z))
14.0ms
(* (tan y) (tan z))

series1.3s

Counts
4 → 12
Calls
4 calls:
Slowest
772.0ms
(/ (- (* (+ (tan y) (tan z)) (cos a)) (* (- 1 (* (tan y) (tan z))) (sin a))) (* (- 1 (* (tan y) (tan z))) (cos a)))
239.0ms
(* (+ (tan y) (tan z)) (cos a))
170.0ms
(* (tan y) (tan z))
142.0ms
(* (tan y) (tan z))

simplify1.1s

Counts
120 → 120

prune2.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
102×*-un-lft-identity
73×add-sqr-sqrt
66×add-cube-cbrt
61×times-frac
54×prod-diff
18×fma-neg
17×distribute-lft-out
10×associate-/r/
9×tan-quot
8×add-cbrt-cube add-exp-log add-log-exp
6×pow1 flip3-- flip--
5×div-inv
4×expm1-log1p-u insert-posit16 log1p-expm1-u associate-/l*
3×associate-/r* fma-def associate-*r* associate-*l* associate-/l/
2×flip3-+ frac-add flip-+ difference-of-squares
1×frac-times cbrt-undiv +-commutative clear-num sum-log sub-neg frac-2neg diff-log div-exp pow-prod-down associate-*l/ prod-exp associate-*r/ *-commutative frac-sub cbrt-unprod distribute-lft-out-- unswap-sqr
Counts
4 → 173
Calls
4 calls:
Slowest
72.0ms
(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
37.0ms
(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
14.0ms
(* (tan y) (tan z))
12.0ms
(+ (tan y) (tan z))

series1.0s

Counts
4 → 12
Calls
4 calls:
Slowest
558.0ms
(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
239.0ms
(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
122.0ms
(+ (tan y) (tan z))
105.0ms
(* (tan y) (tan z))

simplify593.0ms

Counts
185 → 185

prune2.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize93.0ms

Local error

Found 4 expressions with local error:

7.7b
(cbrt (* (tan y) (tan z)))
7.7b
(cbrt (* (tan y) (tan z)))
7.7b
(cbrt (* (tan y) (tan z)))
0.4b
(* (cbrt (* (tan y) (tan z))) (cbrt (* (tan y) (tan z))))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
44×tan-quot
33×cbrt-div
20×frac-times
14×associate-*l/ associate-*r/
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube swap-sqr associate-*r* associate-*l* insert-posit16 log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 94
Calls
4 calls:
Slowest
83.0ms
(* (cbrt (* (tan y) (tan z))) (cbrt (* (tan y) (tan z))))
15.0ms
(cbrt (* (tan y) (tan z)))
14.0ms
(cbrt (* (tan y) (tan z)))
8.0ms
(cbrt (* (tan y) (tan z)))

series762.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
241.0ms
(cbrt (* (tan y) (tan z)))
181.0ms
(cbrt (* (tan y) (tan z)))
181.0ms
(* (cbrt (* (tan y) (tan z))) (cbrt (* (tan y) (tan z))))
160.0ms
(cbrt (* (tan y) (tan z)))

simplify801.0ms

Counts
106 → 106

prune2.1s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes982.0ms

Accuracy

0% (0.1b remaining)

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

bsearch4.0ms

end0.0ms

sample11.2s

Algorithm
intervals
Results
6.3s3864×body1280valid
2.0s2011×body640valid
1.1s1130×body80valid
899.0ms8000×pre80true
483.0ms713×body320valid
144.0ms282×body160valid