Details

Time bar (total: 1.4m)

sample458.0ms

Algorithm
intervals
Results
229.0ms93×body2560valid
119.0ms88×body1280valid
70.0ms40×body640valid
14.0ms24×body320valid
10.0ms256×pre80true
4.0ms10×body160valid
0.0ms1×body80valid

simplify28.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
28.0ms
(- (/ 1 x) (/ 1 (tan x)))

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.4b

localize23.0ms

Local error

Found 2 expressions with local error:

3.1b
(- (/ 1 x) (/ 1 (tan x)))
0.0b
(/ 1 (tan x))

rewrite448.0ms

Algorithm
rewrite-expression-head
Rules
279×times-frac
232×add-sqr-sqrt
224×*-un-lft-identity
208×add-cube-cbrt
182×prod-diff
33×div-inv
14×tan-quot associate-/r/
13×fma-neg
9×difference-of-squares
7×distribute-lft-out--
6×add-exp-log
4×add-cbrt-cube add-log-exp
3×pow1 associate-/r* associate-/l*
2×expm1-log1p-u div-exp insert-posit16 log1p-expm1-u
1×cbrt-undiv rec-exp clear-num sub-neg frac-2neg flip3-- diff-log 1-exp frac-sub pow-flip flip-- inv-pow
Counts
2 → 262
Calls
2 calls:
Slowest
420.0ms
(- (/ 1 x) (/ 1 (tan x)))
15.0ms
(/ 1 (tan x))

series147.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
107.0ms
(- (/ 1 x) (/ 1 (tan x)))
40.0ms
(/ 1 (tan x))

simplify49.1s

Counts
440 → 268
Calls
440 calls:
Slowest
466.0ms
(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))))))
435.0ms
(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))))))
424.0ms
(fma (/ 1 (sqrt x)) (/ 1 (sqrt x)) (- (* (/ (cbrt 1) (cbrt (tan x))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (tan x)) (cbrt (tan x)))))))
420.0ms
(fma (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x))) (/ (cbrt 1) (cbrt x)) (- (* (/ (cbrt 1) (cbrt (tan x))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (tan x)) (cbrt (tan x)))))))
412.0ms
(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))))))

prune2.2s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize24.0ms

Local error

Found 3 expressions with local error:

0.3b
(* x (fma x (* 1/45 x) 1/3))
0.3b
(* 1/45 x)
0.0b
(fma x (* 1/45 x) 1/3)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
7×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
6×associate-*r* associate-*l*
3×expm1-log1p-u fma-udef insert-posit16 log1p-expm1-u add-log-exp
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×distribute-rgt-in distribute-lft-in
Counts
3 → 55
Calls
3 calls:
Slowest
12.0ms
(* x (fma x (* 1/45 x) 1/3))
7.0ms
(* 1/45 x)
0.0ms
(fma x (* 1/45 x) 1/3)

series247.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
134.0ms
(* x (fma x (* 1/45 x) 1/3))
85.0ms
(fma x (* 1/45 x) 1/3)
28.0ms
(* 1/45 x)

simplify1.8s

Counts
30 → 64
Calls
30 calls:
Slowest
741.0ms
(* (* (* x x) x) (* (* (fma x (* 1/45 x) 1/3) (fma x (* 1/45 x) 1/3)) (fma x (* 1/45 x) 1/3)))
191.0ms
(+ (* 1/3 x) (* 1/45 (pow x 3)))
188.0ms
(* (* (* 1/45 1/45) 1/45) (* (* x x) x))
174.0ms
(+ (* 1/3 x) (* 1/45 (pow x 3)))
143.0ms
(+ (* 1/3 x) (* 1/45 (pow x 3)))

prune690.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

localize51.0ms

Local error

Found 4 expressions with local error:

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

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
13×associate-*r*
12×pow1 *-un-lft-identity associate-*l* add-exp-log add-cube-cbrt
11×add-cbrt-cube
4×expm1-log1p-u pow-prod-down prod-exp *-commutative cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
1×cbrt-prod
Counts
4 → 85
Calls
4 calls:
Slowest
33.0ms
(* x (cbrt (* (* (fma x (* 1/45 x) 1/3) (fma x (* 1/45 x) 1/3)) (fma x (* 1/45 x) 1/3))))
18.0ms
(* 1/45 x)
11.0ms
(* 1/45 x)
11.0ms
(* 1/45 x)

series227.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
139.0ms
(* x (cbrt (* (* (fma x (* 1/45 x) 1/3) (fma x (* 1/45 x) 1/3)) (fma x (* 1/45 x) 1/3))))
31.0ms
(* 1/45 x)
29.0ms
(* 1/45 x)
27.0ms
(* 1/45 x)

simplify3.4s

Counts
50 → 97
Calls
50 calls:
Slowest
856.0ms
(* (* (* x x) x) (* (* (fma x (* 1/45 x) 1/3) (fma x (* 1/45 x) 1/3)) (fma x (* 1/45 x) 1/3)))
241.0ms
(* (sqrt x) (sqrt (cbrt (* (* (fma x (* 1/45 x) 1/3) (fma x (* 1/45 x) 1/3)) (fma x (* 1/45 x) 1/3)))))
212.0ms
(* x (cbrt (* (* (fma x (* 1/45 x) 1/3) (fma x (* 1/45 x) 1/3)) (fma x (* 1/45 x) 1/3))))
208.0ms
(* (sqrt x) (sqrt (cbrt (* (* (fma x (* 1/45 x) 1/3) (fma x (* 1/45 x) 1/3)) (fma x (* 1/45 x) 1/3)))))
204.0ms
(cbrt (cbrt (* (* (fma x (* 1/45 x) 1/3) (fma x (* 1/45 x) 1/3)) (fma x (* 1/45 x) 1/3))))

prune1.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize53.0ms

Local error

Found 4 expressions with local error:

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

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
15×pow1 associate-*r* add-exp-log
12×*-un-lft-identity add-cbrt-cube add-cube-cbrt
10×associate-*l*
6×pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u *-commutative insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-prod unswap-sqr
Counts
4 → 87
Calls
4 calls:
Slowest
26.0ms
(* (* x (cbrt (* (fma x (* 1/45 x) 1/3) (fma x (* 1/45 x) 1/3)))) (cbrt (fma x (* 1/45 x) 1/3)))
11.0ms
(* 1/45 x)
7.0ms
(* 1/45 x)
6.0ms
(* 1/45 x)

series196.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
125.0ms
(* (* x (cbrt (* (fma x (* 1/45 x) 1/3) (fma x (* 1/45 x) 1/3)))) (cbrt (fma x (* 1/45 x) 1/3)))
28.0ms
(* 1/45 x)
26.0ms
(* 1/45 x)
17.0ms
(* 1/45 x)

simplify3.9s

Counts
51 → 99
Calls
51 calls:
Slowest
817.0ms
(* (* (* (* x (cbrt (* (fma x (* 1/45 x) 1/3) (fma x (* 1/45 x) 1/3)))) (* x (cbrt (* (fma x (* 1/45 x) 1/3) (fma x (* 1/45 x) 1/3))))) (* x (cbrt (* (fma x (* 1/45 x) 1/3) (fma x (* 1/45 x) 1/3))))) (fma x (* 1/45 x) 1/3))
410.0ms
(* (* x (cbrt (* (fma x (* 1/45 x) 1/3) (fma x (* 1/45 x) 1/3)))) (cbrt (fma x (* 1/45 x) 1/3)))
409.0ms
(* (* x (cbrt (* (fma x (* 1/45 x) 1/3) (fma x (* 1/45 x) 1/3)))) (cbrt (fma x (* 1/45 x) 1/3)))
392.0ms
(+ (+ (log x) (log (cbrt (* (fma x (* 1/45 x) 1/3) (fma x (* 1/45 x) 1/3))))) (log (cbrt (fma x (* 1/45 x) 1/3))))
352.0ms
(+ (log (* x (cbrt (* (fma x (* 1/45 x) 1/3) (fma x (* 1/45 x) 1/3))))) (log (cbrt (fma x (* 1/45 x) 1/3))))

prune1.6s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes59.0ms

Accuracy

0% (0.3b remaining)

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

bsearch3.0ms

end0.0ms

sample17.0s

Algorithm
intervals
Results
10.0s3291×body2560valid
4.6s2485×body1280valid
1.3s1232×body640valid
413.0ms616×body320valid
364.0ms8000×pre80true
126.0ms333×body160valid
8.0ms43×body80valid