Details

Time bar (total: 1.4m)

sample503.0ms

Algorithm
intervals
Results
240.0ms119×body1280valid
120.0ms67×body640valid
39.0ms17×body160valid
39.0ms256×pre80true
16.0ms16×body320valid
10.0ms37×body80valid

simplify53.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.4b

localize53.0ms

Local error

Found 3 expressions with local error:

4.9b
(tan (+ y z))
0.1b
(- (tan (+ y z)) (tan a))
0.1b
(+ x (- (tan (+ y z)) (tan a)))

rewrite36.0ms

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
14.0ms
(- (tan (+ y z)) (tan a))
11.0ms
(+ x (- (tan (+ y z)) (tan a)))
9.0ms
(tan (+ y z))

series452.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
196.0ms
(+ x (- (tan (+ y z)) (tan a)))
156.0ms
(- (tan (+ y z)) (tan a))
99.0ms
(tan (+ y z))

simplify3.6s

Counts
56 → 84
Calls
56 calls:
Slowest
331.0ms
(- (* (+ (tan y) (tan z)) (cos a)) (* (- 1 (* (tan y) (tan z))) (sin a)))
206.0ms
(+ (* 1/3 (pow y 3)) (+ z y))
185.0ms
(* (- 1 (* (tan y) (tan z))) (cos a))
181.0ms
(fma (- (cbrt (tan a))) (* (cbrt (tan a)) (cbrt (tan a))) (* (cbrt (tan a)) (* (cbrt (tan a)) (cbrt (tan a)))))
168.0ms
(fma (* (cbrt (tan (+ y z))) (cbrt (tan (+ y z)))) (cbrt (tan (+ y z))) (- (* (cbrt (tan a)) (* (cbrt (tan a)) (cbrt (tan a))))))

prune1.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite287.0ms

Algorithm
rewrite-expression-head
Rules
151×*-un-lft-identity
108×prod-diff
107×add-sqr-sqrt
100×add-cube-cbrt
85×times-frac
56×associate-+r+
24×distribute-lft-out
18×fma-neg
14×associate-/r/
13×add-log-exp
8×flip3-- flip--
7×tan-quot div-inv
6×pow1 fma-def add-cbrt-cube add-exp-log
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×sum-log associate-*r* associate-*l*
2×+-commutative sub-neg flip3-+ diff-log flip-+ distribute-lft-out-- difference-of-squares
1×frac-times associate-+r- pow-prod-down associate-*l/ frac-add prod-exp associate-*r/ *-commutative frac-sub cbrt-unprod unswap-sqr
Counts
4 → 211
Calls
4 calls:
Slowest
172.0ms
(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
86.0ms
(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
14.0ms
(* (tan y) (tan z))
7.0ms
(+ (tan y) (tan z))

series1.3s

Counts
4 → 12
Calls
4 calls:
Slowest
561.0ms
(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
513.0ms
(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
134.0ms
(* (tan y) (tan z))
129.0ms
(+ (tan y) (tan z))

simplify25.7s

Counts
228 → 223
Calls
228 calls:
Slowest
542.0ms
(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)))))
530.0ms
(fma (/ 1 (* (cbrt (- 1 (* (tan y) (tan z)))) (cbrt (- 1 (* (tan y) (tan z)))))) (/ (+ (tan y) (tan z)) (cbrt (- 1 (* (tan y) (tan z))))) (- (* (sqrt (tan a)) (sqrt (tan a)))))
527.0ms
(fma (/ (+ (tan y) (tan z)) (- (* 1 1) (* (* (tan y) (tan z)) (* (tan y) (tan z))))) (+ 1 (* (tan y) (tan z))) (- (* (tan a) 1)))
478.0ms
(fma (- (tan a)) 1 (* (tan a) 1))
475.0ms
(fma (/ 1 (* (cbrt (- 1 (* (tan y) (tan z)))) (cbrt (- 1 (* (tan y) (tan z)))))) (/ (+ (tan y) (tan z)) (cbrt (- 1 (* (tan y) (tan z))))) (- (* (sqrt (tan a)) (sqrt (tan a)))))

prune3.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize77.0ms

Local error

Found 4 expressions with local error:

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

rewrite236.0ms

Algorithm
rewrite-expression-head
Rules
86×pow1
72×tan-quot
36×frac-times pow-prod-down
32×add-cbrt-cube add-exp-log
24×associate-*l/ associate-*r/
18×prod-exp cbrt-unprod
12×add-sqr-sqrt
8×*-un-lft-identity associate-*r* associate-*l* pow-sqr pow-prod-up add-cube-cbrt
4×expm1-log1p-u pow-plus *-commutative insert-posit16 log1p-expm1-u add-log-exp
2×pow2 swap-sqr unswap-sqr
Counts
4 → 152
Calls
4 calls:
Slowest
100.0ms
(* (* (tan z) (tan y)) (* (tan z) (tan y)))
97.0ms
(* (* (tan z) (tan y)) (* (tan z) (tan y)))
22.0ms
(* (tan z) (tan y))
14.0ms
(* (tan z) (tan y))

series667.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
214.0ms
(* (* (tan z) (tan y)) (* (tan z) (tan y)))
171.0ms
(* (* (tan z) (tan y)) (* (tan z) (tan y)))
155.0ms
(* (tan z) (tan y))
127.0ms
(* (tan z) (tan y))

simplify9.4s

Counts
156 → 164
Calls
156 calls:
Slowest
885.0ms
(* (* (* (* (tan z) (tan z)) (tan z)) (* (* (tan y) (tan y)) (tan y))) (* (* (* (tan z) (tan z)) (tan z)) (* (* (tan y) (tan y)) (tan y))))
854.0ms
(* (* (* (* (tan z) (tan z)) (tan z)) (* (* (tan y) (tan y)) (tan y))) (* (* (* (tan z) (tan z)) (tan z)) (* (* (tan y) (tan y)) (tan y))))
689.0ms
(* (* (* (* (tan z) (tan y)) (* (tan z) (tan y))) (* (tan z) (tan y))) (* (* (* (tan z) (tan y)) (* (tan z) (tan y))) (* (tan z) (tan y))))
668.0ms
(* (* (* (* (tan z) (tan y)) (* (tan z) (tan y))) (* (tan z) (tan y))) (* (* (* (tan z) (tan y)) (* (tan z) (tan y))) (* (tan z) (tan y))))
384.0ms
(+ (* 1/3 (* (pow z 3) y)) (+ (* 1/3 (* z (pow y 3))) (* z y)))

prune3.3s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize110.0ms

Local error

Found 4 expressions with local error:

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

rewrite209.0ms

Algorithm
rewrite-expression-head
Rules
123×pow1
52×pow-prod-down
42×add-cbrt-cube add-exp-log
36×tan-quot
25×prod-exp cbrt-unprod
20×frac-times
14×associate-*l/ associate-*r/
12×pow-sqr pow-prod-up
8×add-sqr-sqrt
6×*-un-lft-identity pow-plus associate-*r* associate-*l* add-cube-cbrt
4×expm1-log1p-u cos-mult *-commutative insert-posit16 log1p-expm1-u sin-mult add-log-exp
3×pow2 swap-sqr
1×unswap-sqr
Counts
4 → 156
Calls
4 calls:
Slowest
83.0ms
(* (* (tan z) (tan y)) (* (tan z) (tan y)))
60.0ms
(* (* (sin z) (sin y)) (* (sin z) (sin y)))
48.0ms
(* (* (cos z) (cos y)) (* (cos z) (cos y)))
14.0ms
(* (tan z) (tan y))

series446.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
144.0ms
(* (* (tan z) (tan y)) (* (tan z) (tan y)))
140.0ms
(* (tan z) (tan y))
88.0ms
(* (* (cos z) (cos y)) (* (cos z) (cos y)))
75.0ms
(* (* (sin z) (sin y)) (* (sin z) (sin y)))

simplify11.4s

Counts
158 → 168
Calls
158 calls:
Slowest
919.0ms
(* (* (* (* (sin z) (sin z)) (sin z)) (* (* (sin y) (sin y)) (sin y))) (* (* (* (sin z) (sin z)) (sin z)) (* (* (sin y) (sin y)) (sin y))))
916.0ms
(* (* (* (* (tan z) (tan z)) (tan z)) (* (* (tan y) (tan y)) (tan y))) (* (* (* (tan z) (tan z)) (tan z)) (* (* (tan y) (tan y)) (tan y))))
852.0ms
(* (* (* (* (cos z) (cos z)) (cos z)) (* (* (cos y) (cos y)) (cos y))) (* (* (* (cos z) (cos z)) (cos z)) (* (* (cos y) (cos y)) (cos y))))
792.0ms
(* (* (* (* (tan z) (tan y)) (* (tan z) (tan y))) (* (tan z) (tan y))) (* (* (* (tan z) (tan y)) (* (tan z) (tan y))) (* (tan z) (tan y))))
714.0ms
(* (* (* (* (cos z) (cos y)) (* (cos z) (cos y))) (* (cos z) (cos y))) (* (* (* (cos z) (cos y)) (* (cos z) (cos y))) (* (cos z) (cos y))))

prune3.9s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes385.0ms

Accuracy

0% (0.1b remaining)

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

bsearch12.0ms

end0.0ms

sample14.3s

Algorithm
intervals
Results
8.4s3841×body1280valid
3.4s2074×body640valid
985.0ms8000×pre80true
598.0ms667×body320valid
279.0ms1126×body80valid
172.0ms292×body160valid