Details

Time bar (total: 1.6m)

sample474.0ms

Algorithm
intervals
Results
294.0ms112×body2560valid
101.0ms78×body1280valid
45.0ms38×body640valid
10.0ms256×pre80true
9.0ms17×body320valid
3.0ms10×body160valid
0.0ms1×body80valid

simplify32.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
31.0ms
(- (/ 1 x) (/ 1 (tan x)))

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.0b

localize14.0ms

Local error

Found 1 expressions with local error:

2.7b
(- (/ 1 x) (/ 1 (tan x)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
270×times-frac
223×add-sqr-sqrt
215×*-un-lft-identity
199×add-cube-cbrt
182×prod-diff
32×div-inv
13×fma-neg tan-quot associate-/r/
9×difference-of-squares
7×distribute-lft-out--
3×add-log-exp
1×expm1-log1p-u pow1 sub-neg flip3-- add-cbrt-cube diff-log add-exp-log frac-sub insert-posit16 log1p-expm1-u flip--
Counts
1 → 227
Calls
1 calls:
Slowest
19.0ms
(- (/ 1 x) (/ 1 (tan x)))

series97.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
97.0ms
(- (/ 1 x) (/ 1 (tan x)))

simplify51.1s

Counts
424 → 230
Calls
424 calls:
Slowest
650.0ms
(* (* (- (/ 1 x) (/ 1 (tan x))) (- (/ 1 x) (/ 1 (tan x)))) (- (/ 1 x) (/ 1 (tan x))))
502.0ms
(- (* (/ 1 x) (/ 1 x)) (* (/ 1 (tan x)) (/ 1 (tan x))))
476.0ms
(fma (- (/ (cbrt 1) (cbrt (tan x)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (tan x)) (cbrt (tan x)))) (* (/ (cbrt 1) (cbrt (tan x))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (tan x)) (cbrt (tan x))))))
471.0ms
(fma (/ (sqrt 1) (sqrt x)) (/ (sqrt 1) (sqrt x)) (- (* (/ (cbrt 1) (tan x)) (/ (* (cbrt 1) (cbrt 1)) 1))))
440.0ms
(- (pow (/ 1 x) 3) (pow (/ 1 (tan x)) 3))

prune1.7s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize26.0ms

Local error

Found 2 expressions with local error:

0.3b
(* x (fma x (* 1/45 x) 1/3))
0.2b
(* 1/45 x)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
6×pow1 *-un-lft-identity add-cbrt-cube associate-*r* associate-*l* add-exp-log add-cube-cbrt
2×expm1-log1p-u pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
1×distribute-rgt-in distribute-lft-in
Counts
2 → 44
Calls
2 calls:
Slowest
12.0ms
(* x (fma x (* 1/45 x) 1/3))
8.0ms
(* 1/45 x)

series163.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
130.0ms
(* x (fma x (* 1/45 x) 1/3))
33.0ms
(* 1/45 x)

simplify3.9s

Counts
52 → 50
Calls
52 calls:
Slowest
869.0ms
(* (* (* x (fma x (* 1/45 x) 1/3)) (* x (fma x (* 1/45 x) 1/3))) (* x (fma x (* 1/45 x) 1/3)))
801.0ms
(* (* (* x x) x) (* (* (fma x (* 1/45 x) 1/3) (fma x (* 1/45 x) 1/3)) (fma x (* 1/45 x) 1/3)))
225.0ms
(* (* (* 1/45 1/45) 1/45) (* (* x x) x))
200.0ms
(exp (* x (fma x (* 1/45 x) 1/3)))
186.0ms
(* (* (* 1/45 x) (* 1/45 x)) (* 1/45 x))

prune492.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize29.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* x (sqrt (fma x (* 1/45 x) 1/3))) (sqrt (fma x (* 1/45 x) 1/3)))
0.3b
(* x (sqrt (fma x (* 1/45 x) 1/3)))
0.2b
(* 1/45 x)
0.2b
(* 1/45 x)

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
18×associate-*r*
15×pow1 add-cbrt-cube add-exp-log
13×*-un-lft-identity add-cube-cbrt
10×associate-*l*
7×sqrt-prod
6×pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u *-commutative insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
Counts
4 → 91
Calls
4 calls:
Slowest
39.0ms
(* (* x (sqrt (fma x (* 1/45 x) 1/3))) (sqrt (fma x (* 1/45 x) 1/3)))
15.0ms
(* x (sqrt (fma x (* 1/45 x) 1/3)))
10.0ms
(* 1/45 x)
10.0ms
(* 1/45 x)

series391.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
192.0ms
(* x (sqrt (fma x (* 1/45 x) 1/3)))
159.0ms
(* (* x (sqrt (fma x (* 1/45 x) 1/3))) (sqrt (fma x (* 1/45 x) 1/3)))
23.0ms
(* 1/45 x)
16.0ms
(* 1/45 x)

simplify6.0s

Counts
103 → 103
Calls
103 calls:
Slowest
381.0ms
(* (* (* (* x (sqrt (fma x (* 1/45 x) 1/3))) (sqrt (fma x (* 1/45 x) 1/3))) (* (* x (sqrt (fma x (* 1/45 x) 1/3))) (sqrt (fma x (* 1/45 x) 1/3)))) (* (* x (sqrt (fma x (* 1/45 x) 1/3))) (sqrt (fma x (* 1/45 x) 1/3))))
374.0ms
(* (* (* x (sqrt (fma x (* 1/45 x) 1/3))) (* x (sqrt (fma x (* 1/45 x) 1/3)))) (* x (sqrt (fma x (* 1/45 x) 1/3))))
337.0ms
(exp (* (* x (sqrt (fma x (* 1/45 x) 1/3))) (sqrt (fma x (* 1/45 x) 1/3))))
335.0ms
(- (+ (* (pow x 2) (sqrt 1/45)) (* 1/6 (/ 1 (sqrt 1/45)))) (* 1/72 (/ 1 (* (pow x 2) (pow (sqrt 1/45) 3)))))
262.0ms
(* (* (* x x) x) (* (* (sqrt (fma x (* 1/45 x) 1/3)) (sqrt (fma x (* 1/45 x) 1/3))) (sqrt (fma x (* 1/45 x) 1/3))))

prune1.2s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* (* x (sqrt (sqrt (fma x (* 1/45 x) 1/3)))) (sqrt (sqrt (fma x (* 1/45 x) 1/3)))) (sqrt (fma x (* 1/45 x) 1/3)))
0.2b
(* (* x (sqrt (sqrt (fma x (* 1/45 x) 1/3)))) (sqrt (sqrt (fma x (* 1/45 x) 1/3))))
0.2b
(* 1/45 x)
0.2b
(* 1/45 x)

rewrite226.0ms

Algorithm
rewrite-expression-head
Rules
22×pow1 add-cbrt-cube add-exp-log
21×associate-*r*
17×add-sqr-sqrt
13×*-un-lft-identity add-cube-cbrt
12×sqrt-prod
11×pow-prod-down prod-exp cbrt-unprod
8×associate-*l*
4×expm1-log1p-u *-commutative insert-posit16 log1p-expm1-u add-log-exp
2×unswap-sqr
Counts
4 → 96
Calls
4 calls:
Slowest
153.0ms
(* (* (* x (sqrt (sqrt (fma x (* 1/45 x) 1/3)))) (sqrt (sqrt (fma x (* 1/45 x) 1/3)))) (sqrt (fma x (* 1/45 x) 1/3)))
50.0ms
(* (* x (sqrt (sqrt (fma x (* 1/45 x) 1/3)))) (sqrt (sqrt (fma x (* 1/45 x) 1/3))))
10.0ms
(* 1/45 x)
10.0ms
(* 1/45 x)

series811.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
425.0ms
(* 1/45 x)
188.0ms
(* (* x (sqrt (sqrt (fma x (* 1/45 x) 1/3)))) (sqrt (sqrt (fma x (* 1/45 x) 1/3))))
171.0ms
(* (* (* x (sqrt (sqrt (fma x (* 1/45 x) 1/3)))) (sqrt (sqrt (fma x (* 1/45 x) 1/3)))) (sqrt (fma x (* 1/45 x) 1/3)))
27.0ms
(* 1/45 x)

simplify8.1s

Counts
106 → 108
Calls
106 calls:
Slowest
605.0ms
(* (* (* (* x (sqrt (sqrt (fma x (* 1/45 x) 1/3)))) (sqrt (sqrt (fma x (* 1/45 x) 1/3)))) (* (* x (sqrt (sqrt (fma x (* 1/45 x) 1/3)))) (sqrt (sqrt (fma x (* 1/45 x) 1/3))))) (* (* x (sqrt (sqrt (fma x (* 1/45 x) 1/3)))) (sqrt (sqrt (fma x (* 1/45 x) 1/3)))))
336.0ms
(* (* (* (* (* x (sqrt (sqrt (fma x (* 1/45 x) 1/3)))) (* x (sqrt (sqrt (fma x (* 1/45 x) 1/3))))) (* x (sqrt (sqrt (fma x (* 1/45 x) 1/3))))) (* (* (sqrt (sqrt (fma x (* 1/45 x) 1/3))) (sqrt (sqrt (fma x (* 1/45 x) 1/3)))) (sqrt (sqrt (fma x (* 1/45 x) 1/3))))) (* (* (sqrt (fma x (* 1/45 x) 1/3)) (sqrt (fma x (* 1/45 x) 1/3))) (sqrt (fma x (* 1/45 x) 1/3))))
316.0ms
(- (+ (* (pow x 2) (sqrt 1/45)) (* 1/6 (/ 1 (sqrt 1/45)))) (* 1/72 (/ 1 (* (pow x 2) (pow (sqrt 1/45) 3)))))
298.0ms
(- (* 1/72 (/ 1 (* (pow x 2) (pow (sqrt 1/45) 3)))) (+ (* (pow x 2) (sqrt 1/45)) (* 1/6 (/ 1 (sqrt 1/45)))))
292.0ms
(* (* (* (* x (sqrt (sqrt (fma x (* 1/45 x) 1/3)))) (* x (sqrt (sqrt (fma x (* 1/45 x) 1/3))))) (* x (sqrt (sqrt (fma x (* 1/45 x) 1/3))))) (* (* (sqrt (sqrt (fma x (* 1/45 x) 1/3))) (sqrt (sqrt (fma x (* 1/45 x) 1/3)))) (sqrt (sqrt (fma x (* 1/45 x) 1/3)))))

prune1.5s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes74.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch3.0ms

end0.0ms

sample16.6s

Algorithm
intervals
Results
10.2s3313×body2560valid
3.6s2406×body1280valid
1.6s1261×body640valid
412.0ms644×body320valid
378.0ms8000×pre80true
129.0ms331×body160valid
8.0ms45×body80valid