Details

Time bar (total: 1.8m)

sample550.0ms

Algorithm
intervals
Results
314.0ms123×body1280valid
134.0ms70×body640valid
36.0ms256×pre80true
16.0ms17×body320valid
10.0ms35×body80valid
8.0ms11×body160valid

simplify53.0ms

Calls
1 calls:
Slowest
53.0ms
(+ x (- (tan (+ y z)) (tan a)))

prune37.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.0b

localize34.0ms

Local error

Found 3 expressions with local error:

3.1b
(tan (+ y z))
0.2b
(- (tan (+ y z)) (tan a))
0.1b
(+ x (- (tan (+ y z)) (tan a)))

rewrite68.0ms

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
5×tan-quot
4×tan-sum
3×expm1-log1p-u pow1 +-commutative fma-def add-cbrt-cube fma-neg add-exp-log frac-sub insert-posit16 log1p-expm1-u
2×sum-log sub-neg diff-log distribute-lft-out distribute-lft-out--
1×associate-+r- flip3-+ flip3-- flip-+ flip-- difference-of-squares
Calls
3 calls:
Slowest
30.0ms
(- (tan (+ y z)) (tan a))
24.0ms
(+ x (- (tan (+ y z)) (tan a)))
12.0ms
(tan (+ y z))

series488.0ms

Calls
3 calls:
Slowest
191.0ms
(- (tan (+ y z)) (tan a))
183.0ms
(+ x (- (tan (+ y z)) (tan a)))
114.0ms
(tan (+ y z))

simplify3.9s

Calls
59 calls:
Slowest
300.0ms
(- (* (+ (tan y) (tan z)) (cos a)) (* (- 1 (* (tan y) (tan z))) (sin a)))
267.0ms
(- (* (+ (tan z) (tan y)) (cos a)) (* (- 1 (* (tan z) (tan y))) (sin a)))
217.0ms
(fma (sqrt (tan (+ y z))) (sqrt (tan (+ y z))) (- (* (cbrt (tan a)) (* (cbrt (tan a)) (cbrt (tan a))))))
178.0ms
(+ (* 1/3 (pow y 3)) (+ z y))
178.0ms
(* (- 1 (* (tan y) (tan z))) (cos a))

prune799.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (tan y) (tan z))
0.2b
(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
0.1b
(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
0.1b
(+ (tan y) (tan z))

rewrite328.0ms

Algorithm
rewrite-expression-head
Rules
352×*-un-lft-identity
305×add-sqr-sqrt
181×times-frac
126×prod-diff
122×add-cube-cbrt
90×difference-of-squares
48×distribute-lft-out
45×distribute-lft-out-- unswap-sqr
42×fma-neg
29×tan-quot
25×associate-*l*
19×frac-sub
18×associate-/r*
10×associate-/r/
8×add-cbrt-cube add-exp-log associate-/l* add-log-exp
6×pow1 flip3-- flip-- associate-/l/
5×div-inv
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×fma-def flip3-+ associate-*r* frac-add flip-+
2×clear-num frac-2neg
1×frac-times cbrt-undiv +-commutative sum-log sub-neg diff-log div-exp pow-prod-down associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Calls
4 calls:
Slowest
241.0ms
(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
43.0ms
(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
15.0ms
(+ (tan y) (tan z))
13.0ms
(* (tan y) (tan z))

series1.1s

Calls
4 calls:
Slowest
540.0ms
(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
308.0ms
(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
145.0ms
(* (tan y) (tan z))
133.0ms
(+ (tan y) (tan z))

simplify51.0s

Calls
459 calls:
Slowest
842.0ms
(fma (/ (* (cbrt (+ (tan y) (tan z))) (cbrt (+ (tan y) (tan z)))) 1) (/ (cbrt (+ (tan y) (tan z))) (- 1 (* (tan y) (tan z)))) (- (* (cbrt (tan a)) (* (cbrt (tan a)) (cbrt (tan a))))))
490.0ms
(- 1 (* (tan y) (tan z)))
423.0ms
(fma (/ (+ (tan y) (tan z)) (- (* 1 1) (* (* (tan y) (tan z)) (* (tan y) (tan z))))) (+ 1 (* (tan y) (tan z))) (- (* (sqrt (tan a)) (sqrt (tan a)))))
418.0ms
(fma (/ (* (cbrt (+ (tan y) (tan z))) (cbrt (+ (tan y) (tan z)))) (+ 1 (sqrt (* (tan y) (tan z))))) (/ (cbrt (+ (tan y) (tan z))) (- 1 (sqrt (* (tan y) (tan z))))) (- (* (cbrt (tan a)) (* (cbrt (tan a)) (cbrt (tan a))))))
413.0ms
(fma (/ (+ (tan y) (tan z)) (- (* 1 1) (* (* (tan y) (tan z)) (* (tan y) (tan z))))) (+ 1 (* (tan y) (tan z))) (- (* (tan a) 1)))

prune4.2s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

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

rewrite174.0ms

Algorithm
rewrite-expression-head
Rules
49×pow1
48×add-sqr-sqrt
44×tan-quot
35×associate-*l*
33×associate-*r*
26×*-un-lft-identity
22×add-cbrt-cube add-exp-log add-cube-cbrt
20×frac-times pow-prod-down
15×unswap-sqr
14×swap-sqr associate-*l/ associate-*r/
11×prod-exp cbrt-unprod
8×*-commutative
4×expm1-log1p-u pow-sqr pow-prod-up insert-posit16 log1p-expm1-u add-log-exp
2×pow-plus
1×pow2
Calls
4 calls:
Slowest
119.0ms
(* (* (tan y) (tan z)) (* (tan y) (tan z)))
24.0ms
(* (tan y) (tan z))
15.0ms
(* (tan y) (tan z))
13.0ms
(* (tan y) (tan z))

series528.0ms

Calls
4 calls:
Slowest
168.0ms
(* (* (tan y) (tan z)) (* (tan y) (tan z)))
123.0ms
(* (tan y) (tan z))
121.0ms
(* (tan y) (tan z))
116.0ms
(* (tan y) (tan z))

simplify6.4s

Calls
166 calls:
Slowest
738.0ms
(* (* (* (* (tan y) (tan y)) (tan y)) (* (* (tan z) (tan z)) (tan z))) (* (* (* (tan y) (tan y)) (tan y)) (* (* (tan z) (tan z)) (tan z))))
586.0ms
(* (* (* (* (tan y) (tan z)) (* (tan y) (tan z))) (* (tan y) (tan z))) (* (* (* (tan y) (tan z)) (* (tan y) (tan z))) (* (tan y) (tan z))))
353.0ms
(* (* (* (tan y) (tan y)) (tan y)) (* (* (tan z) (tan z)) (tan z)))
327.0ms
(* (* (* (tan y) (tan y)) (tan y)) (* (* (tan z) (tan z)) (tan z)))
309.0ms
(+ (* 1/3 (* (pow z 3) y)) (+ (* 1/3 (* z (pow y 3))) (* z y)))

prune2.6s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ (* (sin y) (tan z)) (cos y)) (* (tan y) (tan z)))
0.3b
(* (tan y) (tan z))
0.3b
(* (tan y) (tan z))
0.2b
(* (sin y) (tan z))

rewrite163.0ms

Algorithm
rewrite-expression-head
Rules
94×add-sqr-sqrt
93×tan-quot
79×frac-times
73×associate-*l*
51×*-un-lft-identity add-cube-cbrt
48×associate-/l*
45×associate-*r*
41×associate-*l/
40×times-frac
31×add-cbrt-cube add-exp-log
30×associate-*r/
22×unswap-sqr
15×pow1
14×prod-exp cbrt-unprod
12×associate-/r* *-commutative
6×pow-prod-down
4×expm1-log1p-u cbrt-undiv clear-num frac-2neg div-exp insert-posit16 log1p-expm1-u add-log-exp associate-/l/
1×div-inv
Calls
4 calls:
Slowest
112.0ms
(* (/ (* (sin y) (tan z)) (cos y)) (* (tan y) (tan z)))
22.0ms
(* (tan y) (tan z))
13.0ms
(* (tan y) (tan z))
12.0ms
(* (sin y) (tan z))

series629.0ms

Calls
4 calls:
Slowest
193.0ms
(* (/ (* (sin y) (tan z)) (cos y)) (* (tan y) (tan z)))
156.0ms
(* (sin y) (tan z))
148.0ms
(* (tan y) (tan z))
133.0ms
(* (tan y) (tan z))

simplify17.6s

Calls
264 calls:
Slowest
552.0ms
(* (/ (* (* (* (sin y) (sin y)) (sin y)) (* (* (tan z) (tan z)) (tan z))) (* (* (cos y) (cos y)) (cos y))) (* (* (* (tan y) (tan y)) (tan y)) (* (* (tan z) (tan z)) (tan z))))
552.0ms
(* (/ (* (* (* (sin y) (tan z)) (* (sin y) (tan z))) (* (sin y) (tan z))) (* (* (cos y) (cos y)) (cos y))) (* (* (* (tan y) (tan y)) (tan y)) (* (* (tan z) (tan z)) (tan z))))
543.0ms
(* (/ (* (* (* (sin y) (sin y)) (sin y)) (* (* (tan z) (tan z)) (tan z))) (* (* (cos y) (cos y)) (cos y))) (* (* (* (tan y) (tan z)) (* (tan y) (tan z))) (* (tan y) (tan z))))
517.0ms
(* (/ (* (* (* (sin y) (tan z)) (* (sin y) (tan z))) (* (sin y) (tan z))) (* (* (cos y) (cos y)) (cos y))) (* (* (* (tan y) (tan z)) (* (tan y) (tan z))) (* (tan y) (tan z))))
477.0ms
(* (/ (* (sin y) (tan z)) (* (cbrt (cos y)) (cbrt (cos y)))) (* (sin y) (tan z)))

prune3.6s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes767.0ms

Accuracy

0% (0.1b remaining)

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

bsearch5.0ms

end0.0ms

sample11.2s

Algorithm
intervals
Results
6.5s3983×body1280valid
2.0s1989×body640valid
1.5s8000×pre80true
548.0ms669×body320valid
342.0ms1070×body80valid
143.0ms289×body160valid