Details

Time bar (total: 20.8s)

sample117.0ms

Algorithm
intervals
Results
81.0ms178×body1280valid
11.0ms234×body80valid
11.0ms38×body640valid
3.0ms20×body320valid
1.0ms13×body160valid

simplify86.0ms

Calls
1 calls:
Slowest
86.0ms
(+ (- (exp x) 2) (exp (- x)))

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 29.9b

localize10.0ms

Local error

Found 3 expressions with local error:

3.4b
(- (- (exp x) 2) (/ -1 (exp x)))
0.0b
(- (exp x) 2)
0.0b
(/ -1 (exp x))

rewrite56.0ms

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
46.0ms
(- (- (exp x) 2) (/ -1 (exp x)))
7.0ms
(- (exp x) 2)
1.0ms
(/ -1 (exp x))

series97.0ms

Calls
3 calls:
Slowest
75.0ms
(- (- (exp x) 2) (/ -1 (exp x)))
13.0ms
(/ -1 (exp x))
8.0ms
(- (exp x) 2)

simplify3.3s

Calls
51 calls:
Slowest
262.0ms
(- (* (- (pow (exp x) 3) (pow 2 3)) (exp x)) (* (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2))) -1))
206.0ms
(- (* (- (* (exp x) (exp x)) (* 2 2)) (exp x)) (* (+ (exp x) 2) -1))
173.0ms
(fma 1 (- (exp x) 2) (- (* (/ 1 (exp x)) -1)))
150.0ms
(* (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2))) (exp x))
145.0ms
(fma 1 (- (exp x) 2) (- (* (cbrt (/ -1 (exp x))) (* (cbrt (/ -1 (exp x))) (cbrt (/ -1 (exp x)))))))

prune631.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

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)))

series90.0ms

Calls
2 calls:
Slowest
51.0ms
(fma (pow x 4) 1/12 (* x x))
38.0ms
(fma (pow x 6) 1/360 (fma (pow x 4) 1/12 (* x x)))

simplify216.0ms

Calls
6 calls:
Slowest
64.0ms
(+ (pow x 2) (+ (* 1/12 (pow x 4)) (* 1/360 (pow x 6))))
42.0ms
(+ (pow x 2) (+ (* 1/12 (pow x 4)) (* 1/360 (pow x 6))))
37.0ms
(+ (pow x 2) (+ (* 1/12 (pow x 4)) (* 1/360 (pow x 6))))
24.0ms
(+ (pow x 2) (* 1/12 (pow x 4)))
23.0ms
(+ (pow x 2) (* 1/12 (pow x 4)))

prune693.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

29.1b
(cbrt (fma (pow x 6) 1/360 (fma (pow x 4) 1/12 (* x x))))
29.1b
(cbrt (fma (pow x 6) 1/360 (fma (pow x 4) 1/12 (* x x))))
29.1b
(cbrt (fma (pow x 6) 1/360 (fma (pow x 4) 1/12 (* x x))))
0.4b
(* (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)))))

rewrite12.0ms

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
7.0ms
(* (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))))

series544.0ms

Calls
4 calls:
Slowest
147.0ms
(cbrt (fma (pow x 6) 1/360 (fma (pow x 4) 1/12 (* x x))))
145.0ms
(cbrt (fma (pow x 6) 1/360 (fma (pow x 4) 1/12 (* x x))))
135.0ms
(* (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)))))
117.0ms
(cbrt (fma (pow x 6) 1/360 (fma (pow x 4) 1/12 (* x x))))

simplify5.2s

Calls
41 calls:
Slowest
687.0ms
(* (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))))
642.0ms
(* (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))))
349.0ms
(+ (* 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)))))
348.0ms
(+ (* 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))))))))
300.0ms
(+ (* 20 (/ (exp (* 1/3 (- (log 1/129600) (* 12 (log (/ 1 x)))))) (pow x 2))) (+ (* 140 (/ (exp (* 1/3 (- (log 1/129600) (* 12 (log (/ 1 x)))))) (pow x 4))) (exp (* 1/3 (- (log 1/129600) (* 12 (log (/ 1 x))))))))

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

5.3b
(fma (fma (exp x) (* (exp x) (exp x)) -8) (exp x) (fma 2 (exp x) (fma (exp x) (exp x) 4)))
0.0b
(* (exp x) (exp x))
0.0b
(* (exp x) (fma (exp x) (+ (exp x) 2) 4))
0.0b
(fma 2 (exp x) (fma (exp x) (exp x) 4))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
8×add-sqr-sqrt *-un-lft-identity add-cbrt-cube add-cube-cbrt
6×associate-*r* associate-*l*
5×add-exp-log
4×expm1-log1p-u fma-udef insert-posit16 log1p-expm1-u add-log-exp
2×pow-prod-down prod-exp *-commutative cbrt-unprod
1×pow2 distribute-rgt-in distribute-lft-in pow-plus pow-prod-up
Calls
4 calls:
Slowest
5.0ms
(* (exp x) (fma (exp x) (+ (exp x) 2) 4))
5.0ms
(* (exp x) (exp x))
0.0ms
(fma (fma (exp x) (* (exp x) (exp x)) -8) (exp x) (fma 2 (exp x) (fma (exp x) (exp x) 4)))
0.0ms
(fma 2 (exp x) (fma (exp x) (exp x) 4))

series204.0ms

Calls
4 calls:
Slowest
120.0ms
(fma (fma (exp x) (* (exp x) (exp x)) -8) (exp x) (fma 2 (exp x) (fma (exp x) (exp x) 4)))
46.0ms
(* (exp x) (fma (exp x) (+ (exp x) 2) 4))
28.0ms
(fma 2 (exp x) (fma (exp x) (exp x) 4))
10.0ms
(* (exp x) (exp x))

simplify2.4s

Calls
33 calls:
Slowest
931.0ms
(* (* (* (exp x) (exp x)) (exp x)) (* (* (fma (exp x) (+ (exp x) 2) 4) (fma (exp x) (+ (exp x) 2) 4)) (fma (exp x) (+ (exp x) 2) 4)))
203.0ms
(- (+ (pow (exp x) 2) (+ (pow (exp x) 4) 4)) (* 6 (exp x)))
197.0ms
(- (+ (pow (exp x) 2) (+ (pow (exp x) 4) 4)) (* 6 (exp x)))
141.0ms
(* (exp x) (fma (exp x) (+ (exp x) 2) 4))
123.0ms
(+ (* 11 (pow x 3)) (+ (* 7 (pow x 2)) (* 133/12 (pow x 4))))

prune841.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes39.0ms

Accuracy

0% (0.6b remaining)

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

bsearch1.0ms

end0.0ms

sample5.1s

Algorithm
intervals
Results
3.8s5652×body1280valid
498.0ms7984×body80valid
454.0ms1229×body640valid
130.0ms626×body320valid
47.0ms331×body160valid