Details

Time bar (total: 1.0m)

sample61.0ms

Algorithm
intervals
Results
22.0ms54×body1280valid
16.0ms34×body640valid
8.0ms139×body80valid
4.0ms19×body320valid
1.0ms10×body160valid

simplify152.0ms

Calls
1 calls:
Slowest
152.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.1b

localize28.0ms

Local error

Found 3 expressions with local error:

2.7b
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0b
(+ 1 (exp (* -2 x)))
0.0b
(/ 2 (+ 1 (exp (* -2 x))))

rewrite220.0ms

Algorithm
rewrite-expression-head
Rules
101×*-un-lft-identity
74×add-sqr-sqrt
63×times-frac add-cube-cbrt
54×prod-diff
18×fma-neg
17×distribute-lft-out
10×associate-/r/
8×add-exp-log
7×add-log-exp
6×flip3-+ flip-+
5×add-cbrt-cube div-inv
4×associate-/r* difference-of-squares
3×expm1-log1p-u pow1 fma-def insert-posit16 log1p-expm1-u associate-/l*
2×expm1-def difference-of-sqr-1 div-exp
1×cbrt-undiv +-commutative clear-num sum-log sub-neg frac-2neg flip3-- diff-log flip-- distribute-lft-out--
Calls
3 calls:
Slowest
169.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
29.0ms
(/ 2 (+ 1 (exp (* -2 x))))
18.0ms
(+ 1 (exp (* -2 x)))

series123.0ms

Calls
3 calls:
Slowest
66.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
40.0ms
(/ 2 (+ 1 (exp (* -2 x))))
17.0ms
(+ 1 (exp (* -2 x)))

simplify21.9s

Calls
185 calls:
Slowest
499.0ms
(/ 2 (- (* 1 1) (* (exp (* -2 x)) (exp (* -2 x)))))
447.0ms
(/ 2 (sqrt (+ 1 (exp (* -2 x)))))
373.0ms
(+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x)))))
373.0ms
(fma (/ 2 (+ (pow 1 3) (pow (exp (* -2 x)) 3))) (+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x))))) (- (* 1 1)))
360.0ms
(/ (* (* 2 2) 2) (* (* (+ 1 (exp (* -2 x))) (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x)))))

prune1.5s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize1.0ms

Local error

Found 3 expressions with local error:

2.7b
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0b
(+ 1 (exp (* -2 x)))
0.0b
(/ 2 (+ 1 (exp (* -2 x))))

rewrite216.0ms

Algorithm
rewrite-expression-head
Rules
101×*-un-lft-identity
74×add-sqr-sqrt
63×times-frac add-cube-cbrt
54×prod-diff
18×fma-neg
17×distribute-lft-out
10×associate-/r/
8×add-exp-log
7×add-log-exp
6×flip3-+ flip-+
5×add-cbrt-cube div-inv
4×associate-/r* difference-of-squares
3×expm1-log1p-u pow1 fma-def insert-posit16 log1p-expm1-u associate-/l*
2×expm1-def difference-of-sqr-1 div-exp
1×cbrt-undiv +-commutative clear-num sum-log sub-neg frac-2neg flip3-- diff-log flip-- distribute-lft-out--
Calls
3 calls:
Slowest
183.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
19.0ms
(/ 2 (+ 1 (exp (* -2 x))))
9.0ms
(+ 1 (exp (* -2 x)))

series136.0ms

Calls
3 calls:
Slowest
97.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
22.0ms
(/ 2 (+ 1 (exp (* -2 x))))
17.0ms
(+ 1 (exp (* -2 x)))

simplify21.9s

Calls
185 calls:
Slowest
592.0ms
(/ 2 (- (* 1 1) (* (exp (* -2 x)) (exp (* -2 x)))))
378.0ms
(+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x)))))
361.0ms
(/ (* (* 2 2) 2) (* (* (+ 1 (exp (* -2 x))) (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x)))))
347.0ms
(fma (/ (* (cbrt 2) (cbrt 2)) (* (cbrt (+ 1 (exp (* -2 x)))) (cbrt (+ 1 (exp (* -2 x)))))) (/ (cbrt 2) (cbrt (+ 1 (exp (* -2 x))))) (- (* (cbrt 1) (* (cbrt 1) (cbrt 1)))))
336.0ms
(fma (/ 1 (* (cbrt (+ 1 (exp (* -2 x)))) (cbrt (+ 1 (exp (* -2 x)))))) (/ 2 (cbrt (+ 1 (exp (* -2 x))))) (- (* (sqrt 1) (sqrt 1))))

prune1.5s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

15.5b
(fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x))
0.3b
(* x -1/3)
0.0b
(fma 2/15 (pow x 5) x)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
5×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
3×expm1-log1p-u associate-*r* associate-*l* insert-posit16 log1p-expm1-u add-log-exp
2×fma-udef
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Calls
3 calls:
Slowest
5.0ms
(* x -1/3)
0.0ms
(fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x))
0.0ms
(fma 2/15 (pow x 5) x)

series269.0ms

Calls
3 calls:
Slowest
154.0ms
(fma 2/15 (pow x 5) x)
88.0ms
(fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x))
27.0ms
(* x -1/3)

simplify1.1s

Calls
18 calls:
Slowest
207.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
183.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
170.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
150.0ms
(* (* (* x x) x) (* (* -1/3 -1/3) -1/3))
139.0ms
(+ x (* 2/15 (pow x 5)))

prune469.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

15.5b
(fma (* x -1/3) (* x x) (* (* (cbrt (fma 2/15 (pow x 5) x)) (cbrt (fma 2/15 (pow x 5) x))) (cbrt (fma 2/15 (pow x 5) x))))
12.9b
(cbrt (fma 2/15 (pow x 5) x))
12.9b
(cbrt (fma 2/15 (pow x 5) x))
12.9b
(cbrt (fma 2/15 (pow x 5) x))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3
1×fma-udef
Calls
4 calls:
Slowest
1.0ms
(cbrt (fma 2/15 (pow x 5) x))
1.0ms
(cbrt (fma 2/15 (pow x 5) x))
1.0ms
(cbrt (fma 2/15 (pow x 5) x))
1.0ms
(fma (* x -1/3) (* x x) (* (* (cbrt (fma 2/15 (pow x 5) x)) (cbrt (fma 2/15 (pow x 5) x))) (cbrt (fma 2/15 (pow x 5) x))))

series2.7s

Calls
4 calls:
Slowest
909.0ms
(cbrt (fma 2/15 (pow x 5) x))
879.0ms
(cbrt (fma 2/15 (pow x 5) x))
870.0ms
(cbrt (fma 2/15 (pow x 5) x))
85.0ms
(fma (* x -1/3) (* x x) (* (* (cbrt (fma 2/15 (pow x 5) x)) (cbrt (fma 2/15 (pow x 5) x))) (cbrt (fma 2/15 (pow x 5) x))))

simplify4.7s

Calls
21 calls:
Slowest
629.0ms
(cbrt (* (cbrt (fma 2/15 (pow x 5) x)) (cbrt (fma 2/15 (pow x 5) x))))
367.0ms
(cbrt (* (cbrt (fma 2/15 (pow x 5) x)) (cbrt (fma 2/15 (pow x 5) x))))
361.0ms
(cbrt (* (cbrt (fma 2/15 (pow x 5) x)) (cbrt (fma 2/15 (pow x 5) x))))
356.0ms
(- (+ (exp (* 1/3 (- (log -2/15) (* 5 (log (/ -1 x)))))) (* 5/2 (/ (exp (* 1/3 (- (log -2/15) (* 5 (log (/ -1 x)))))) (pow x 4)))) (* 25/4 (/ (exp (* 1/3 (- (log -2/15) (* 5 (log (/ -1 x)))))) (pow x 8))))
346.0ms
(- (+ (exp (* 1/3 (- (log 2/15) (* 5 (log (/ 1 x)))))) (* 5/2 (/ (exp (* 1/3 (- (log 2/15) (* 5 (log (/ 1 x)))))) (pow x 4)))) (* 25/4 (/ (exp (* 1/3 (- (log 2/15) (* 5 (log (/ 1 x)))))) (pow x 8))))

prune769.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes274.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 29.3b

bsearch147.0ms

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.1s1720×body1280valid
648.0ms1226×body640valid
456.0ms4087×body80valid
201.0ms613×body320valid
67.0ms354×body160valid