Details

Time bar (total: 23.1s)

sample144.0ms

Algorithm
intervals
Results
105.0ms190×body1280valid
12.0ms243×body80valid
10.0ms30×body640valid
5.0ms24×body320valid
1.0ms8×body160valid

simplify70.0ms

Calls
1 calls:
Slowest
70.0ms
(+ (- (exp x) 2) (exp (- x)))

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.6b

localize21.0ms

Local error

Found 3 expressions with local error:

3.1b
(- (- (exp x) 2) (/ -1 (exp x)))
0.0b
(/ -1 (exp x))
0.0b
(- (exp x) 2)

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt *-un-lft-identity
13×add-cube-cbrt
12×prod-diff
6×fma-neg
5×add-log-exp
4×div-inv
3×expm1-log1p-u pow1 associate-/r* sub-neg flip3-- add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u flip--
2×associate--l+ frac-sub
1×associate--l- clear-num frac-2neg diff-log distribute-lft-out-- difference-of-squares
Calls
3 calls:
Slowest
45.0ms
(- (- (exp x) 2) (/ -1 (exp x)))
7.0ms
(- (exp x) 2)
1.0ms
(/ -1 (exp x))

series96.0ms

Calls
3 calls:
Slowest
79.0ms
(- (- (exp x) 2) (/ -1 (exp x)))
8.0ms
(- (exp x) 2)
8.0ms
(/ -1 (exp x))

simplify3.4s

Calls
51 calls:
Slowest
319.0ms
(- (* (- (pow (exp x) 3) (pow 2 3)) (exp x)) (* (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2))) -1))
174.0ms
(/ (exp (- (exp x) 2)) (exp (/ -1 (exp x))))
171.0ms
(- (* (- (* (exp x) (exp x)) (* 2 2)) (exp x)) (* (+ (exp x) 2) -1))
168.0ms
(fma 1 (- (exp x) 2) (- (* (/ 1 (exp x)) -1)))
167.0ms
(* (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2))) (exp x))

prune603.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma (pow x 4) 1/12 (* x x))
0.0b
(fma (pow x 6) 1/360 (fma (pow x 4) 1/12 (* x x)))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
2×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef insert-posit16 log1p-expm1-u add-log-exp
Calls
2 calls:
Slowest
0.0ms
(fma (pow x 4) 1/12 (* x x))
0.0ms
(fma (pow x 6) 1/360 (fma (pow x 4) 1/12 (* x x)))

series60.0ms

Calls
2 calls:
Slowest
34.0ms
(fma (pow x 4) 1/12 (* x x))
25.0ms
(fma (pow x 6) 1/360 (fma (pow x 4) 1/12 (* x x)))

simplify222.0ms

Calls
6 calls:
Slowest
57.0ms
(+ (pow x 2) (+ (* 1/12 (pow x 4)) (* 1/360 (pow x 6))))
45.0ms
(+ (pow x 2) (+ (* 1/12 (pow x 4)) (* 1/360 (pow x 6))))
38.0ms
(+ (pow x 2) (+ (* 1/12 (pow x 4)) (* 1/360 (pow x 6))))
31.0ms
(+ (pow x 2) (* 1/12 (pow x 4)))
25.0ms
(+ (pow x 2) (* 1/12 (pow x 4)))

prune369.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

33.1b
(cbrt (fma (pow x 6) 1/360 (fma (pow x 4) 1/12 (* x x))))
33.1b
(cbrt (fma (pow x 6) 1/360 (fma (pow x 4) 1/12 (* x x))))
33.1b
(cbrt (fma (pow x 6) 1/360 (fma (pow x 4) 1/12 (* x x))))
0.3b
(* (cbrt (fma (pow x 6) 1/360 (fma (pow x 4) 1/12 (* x x)))) (cbrt (fma (pow x 6) 1/360 (fma (pow x 4) 1/12 (* x x)))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×pow1
7×pow1/3
6×associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
2×pow-prod-down pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Calls
4 calls:
Slowest
12.0ms
(* (cbrt (fma (pow x 6) 1/360 (fma (pow x 4) 1/12 (* x x)))) (cbrt (fma (pow x 6) 1/360 (fma (pow x 4) 1/12 (* x x)))))
1.0ms
(cbrt (fma (pow x 6) 1/360 (fma (pow x 4) 1/12 (* x x))))
1.0ms
(cbrt (fma (pow x 6) 1/360 (fma (pow x 4) 1/12 (* x x))))
1.0ms
(cbrt (fma (pow x 6) 1/360 (fma (pow x 4) 1/12 (* x x))))

series612.0ms

Calls
4 calls:
Slowest
157.0ms
(cbrt (fma (pow x 6) 1/360 (fma (pow x 4) 1/12 (* x x))))
153.0ms
(* (cbrt (fma (pow x 6) 1/360 (fma (pow x 4) 1/12 (* x x)))) (cbrt (fma (pow x 6) 1/360 (fma (pow x 4) 1/12 (* x x)))))
152.0ms
(cbrt (fma (pow x 6) 1/360 (fma (pow x 4) 1/12 (* x x))))
151.0ms
(cbrt (fma (pow x 6) 1/360 (fma (pow x 4) 1/12 (* x x))))

simplify5.4s

Calls
41 calls:
Slowest
772.0ms
(* (fma (pow x 6) 1/360 (fma (pow x 4) 1/12 (* x x))) (fma (pow x 6) 1/360 (fma (pow x 4) 1/12 (* x x))))
710.0ms
(* (fma (pow x 6) 1/360 (fma (pow x 4) 1/12 (* x x))) (fma (pow x 6) 1/360 (fma (pow x 4) 1/12 (* x x))))
365.0ms
(+ (* 20 (/ (exp (* 1/3 (- (log 1/360) (* 6 (log (/ -1 x)))))) (pow x 4))) (+ (exp (* 1/3 (- (log 1/360) (* 6 (log (/ -1 x)))))) (* 10 (/ (exp (* 1/3 (- (log 1/360) (* 6 (log (/ -1 x)))))) (pow x 2)))))
345.0ms
(+ (* 140 (/ (exp (* 1/3 (- (log 1/129600) (* 12 (log (/ -1 x)))))) (pow x 4))) (+ (* 20 (/ (exp (* 1/3 (- (log 1/129600) (* 12 (log (/ -1 x)))))) (pow x 2))) (exp (* 1/3 (- (log 1/129600) (* 12 (log (/ -1 x))))))))
328.0ms
(+ (* 20 (/ (exp (* 1/3 (- (log 1/360) (* 6 (log (/ -1 x)))))) (pow x 4))) (+ (exp (* 1/3 (- (log 1/360) (* 6 (log (/ -1 x)))))) (* 10 (/ (exp (* 1/3 (- (log 1/360) (* 6 (log (/ -1 x)))))) (pow x 2)))))

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

33.1b
(cbrt (fma (pow x 6) 1/360 (fma (pow x 4) 1/12 (* x x))))
33.1b
(cbrt (fma (pow x 6) 1/360 (fma (pow x 4) 1/12 (* x x))))
33.1b
(cbrt (fma (pow x 6) 1/360 (fma (pow x 4) 1/12 (* x x))))
33.1b
(cbrt (fma (pow x 6) 1/360 (fma (pow x 4) 1/12 (* x x))))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
Calls
4 calls:
Slowest
1.0ms
(cbrt (fma (pow x 6) 1/360 (fma (pow x 4) 1/12 (* x x))))
1.0ms
(cbrt (fma (pow x 6) 1/360 (fma (pow x 4) 1/12 (* x x))))
1.0ms
(cbrt (fma (pow x 6) 1/360 (fma (pow x 4) 1/12 (* x x))))
1.0ms
(cbrt (fma (pow x 6) 1/360 (fma (pow x 4) 1/12 (* x x))))

series591.0ms

Calls
4 calls:
Slowest
165.0ms
(cbrt (fma (pow x 6) 1/360 (fma (pow x 4) 1/12 (* x x))))
156.0ms
(cbrt (fma (pow x 6) 1/360 (fma (pow x 4) 1/12 (* x x))))
154.0ms
(cbrt (fma (pow x 6) 1/360 (fma (pow x 4) 1/12 (* x x))))
115.0ms
(cbrt (fma (pow x 6) 1/360 (fma (pow x 4) 1/12 (* x x))))

simplify3.2s

Calls
24 calls:
Slowest
384.0ms
(+ (* 20 (/ (exp (* 1/3 (- (log 1/360) (* 6 (log (/ -1 x)))))) (pow x 4))) (+ (exp (* 1/3 (- (log 1/360) (* 6 (log (/ -1 x)))))) (* 10 (/ (exp (* 1/3 (- (log 1/360) (* 6 (log (/ -1 x)))))) (pow x 2)))))
364.0ms
(+ (* 20 (/ (exp (* 1/3 (- (log 1/360) (* 6 (log (/ -1 x)))))) (pow x 4))) (+ (exp (* 1/3 (- (log 1/360) (* 6 (log (/ -1 x)))))) (* 10 (/ (exp (* 1/3 (- (log 1/360) (* 6 (log (/ -1 x)))))) (pow x 2)))))
360.0ms
(+ (* 20 (/ (exp (* 1/3 (- (log 1/360) (* 6 (log (/ -1 x)))))) (pow x 4))) (+ (exp (* 1/3 (- (log 1/360) (* 6 (log (/ -1 x)))))) (* 10 (/ (exp (* 1/3 (- (log 1/360) (* 6 (log (/ -1 x)))))) (pow x 2)))))
310.0ms
(+ (* 20 (/ (exp (* 1/3 (- (log 1/360) (* 6 (log (/ -1 x)))))) (pow x 4))) (+ (exp (* 1/3 (- (log 1/360) (* 6 (log (/ -1 x)))))) (* 10 (/ (exp (* 1/3 (- (log 1/360) (* 6 (log (/ -1 x)))))) (pow x 2)))))
289.0ms
(+ (* 10 (/ (exp (* 1/3 (- (log 1/360) (* 6 (log (/ 1 x)))))) (pow x 2))) (+ (exp (* 1/3 (- (log 1/360) (* 6 (log (/ 1 x)))))) (* 20 (/ (exp (* 1/3 (- (log 1/360) (* 6 (log (/ 1 x)))))) (pow x 4)))))

prune1.3s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes52.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch2.0ms

end0.0ms

sample5.7s

Algorithm
intervals
Results
3.5s5733×body1280valid
1.4s7955×body80valid
473.0ms1189×body640valid
117.0ms580×body320valid
42.0ms322×body160valid