Details

Time bar (total: 1.0m)

sample150.0ms

Algorithm
intervals
Results
109.0ms183×body1280valid
12.0ms255×body80valid
11.0ms39×body640valid
3.0ms16×body320valid
1.0ms9×body160valid

simplify76.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
76.0ms
(+ (- (exp x) 2) (exp (- x)))

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.8b

localize22.0ms

Local error

Found 3 expressions with local error:

2.9b
(- (- (exp x) 2) (/ -1 (exp x)))
0.0b
(- (exp x) 2)
0.0b
(/ -1 (exp x))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
108×add-sqr-sqrt *-un-lft-identity
83×prod-diff
73×add-cube-cbrt
55×times-frac
18×distribute-lft-out--
17×difference-of-squares
11×associate--l+
10×add-log-exp
8×fma-neg
6×div-inv
5×add-cbrt-cube
4×diff-log add-exp-log
3×expm1-log1p-u pow1 associate-/r* sub-neg flip3-- insert-posit16 log1p-expm1-u flip-- associate-/l*
2×frac-sub
1×associate--l- cbrt-undiv clear-num frac-2neg div-exp
Counts
3 → 163
Calls
3 calls:
Slowest
92.0ms
(- (- (exp x) 2) (/ -1 (exp x)))
11.0ms
(- (exp x) 2)
5.0ms
(/ -1 (exp x))

series128.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
99.0ms
(- (- (exp x) 2) (/ -1 (exp x)))
16.0ms
(- (exp x) 2)
13.0ms
(/ -1 (exp x))

simplify29.0s

Counts
215 → 172
Calls
215 calls:
Slowest
735.0ms
(fma (- (/ -1 (cbrt (exp x)))) (/ 1 (* (cbrt (exp x)) (cbrt (exp x)))) (* (/ -1 (cbrt (exp x))) (/ 1 (* (cbrt (exp x)) (cbrt (exp x))))))
482.0ms
(fma 1 (- (exp x) 2) (- (* (/ -1 (cbrt (exp x))) (/ 1 (* (cbrt (exp x)) (cbrt (exp x)))))))
432.0ms
(fma (sqrt (- (exp x) 2)) (sqrt (- (exp x) 2)) (- (* (/ -1 (cbrt (exp x))) (/ 1 (* (cbrt (exp x)) (cbrt (exp x)))))))
414.0ms
(fma (sqrt (- (exp x) 2)) (sqrt (- (exp x) 2)) (- (* (/ (cbrt -1) (exp x)) (/ (* (cbrt -1) (cbrt -1)) 1))))
411.0ms
(fma (* (cbrt (- (exp x) 2)) (cbrt (- (exp x) 2))) (cbrt (- (exp x) 2)) (- (* (/ (cbrt -1) (cbrt (exp x))) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (exp x)) (cbrt (exp x)))))))

prune1.2s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* x x) (* x x))
0.1b
(* (* x x) (* x x))
0.1b
(* (* (* x x) (* x x)) 1/360)
0.0b
(fma (* (* (* x x) (* x x)) 1/360) (* x x) (fma (* (* x x) (* x x)) 1/12 (* x x)))

rewrite212.0ms

Algorithm
rewrite-expression-head
Rules
244×pow1
72×pow-prod-up
59×pow-prod-down
46×add-cbrt-cube add-exp-log
44×pow-sqr
36×pow-plus
29×prod-exp cbrt-unprod
26×pow2
6×add-sqr-sqrt
5×*-un-lft-identity associate-*r* add-cube-cbrt
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×associate-*l* *-commutative unswap-sqr
2×swap-sqr
1×fma-udef
Counts
4 → 174
Calls
4 calls:
Slowest
108.0ms
(* (* (* x x) (* x x)) 1/360)
51.0ms
(* (* x x) (* x x))
47.0ms
(* (* x x) (* x x))
0.0ms
(fma (* (* (* x x) (* x x)) 1/360) (* x x) (fma (* (* x x) (* x x)) 1/12 (* x x)))

series275.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
82.0ms
(fma (* (* (* x x) (* x x)) 1/360) (* x x) (fma (* (* x x) (* x x)) 1/12 (* x x)))
66.0ms
(* (* (* x x) (* x x)) 1/360)
65.0ms
(* (* x x) (* x x))
61.0ms
(* (* x x) (* x x))

simplify7.7s

Counts
166 → 186
Calls
166 calls:
Slowest
444.0ms
(* (* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) x) (* (* x x) x))) (* (* 1/360 1/360) 1/360))
411.0ms
(* (* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) (* x x)) (* x x))) (* (* 1/360 1/360) 1/360))
390.0ms
(* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) (* x x)) (* x x)))
389.0ms
(* (* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) x) (* (* x x) x))) (* (* 1/360 1/360) 1/360))
387.0ms
(* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) (* x x)) (* x x)))

prune1.6s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

3.4b
(fma (exp x) (fma (exp x) (exp x) -4) (+ 2 (exp x)))
0.0b
(* (+ (exp x) 2) (exp x))
0.0b
(/ (fma (exp x) (fma (exp x) (exp x) -4) (+ 2 (exp x))) (* (+ (exp x) 2) (exp x)))
0.0b
(+ 2 (exp x))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
11×add-sqr-sqrt add-cbrt-cube
9×add-exp-log add-cube-cbrt
6×pow1 add-log-exp
4×expm1-log1p-u associate-*l* associate-*l/ insert-posit16 log1p-expm1-u
3×fma-def flip3-+ times-frac associate-*r* flip-+ associate-/l*
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod distribute-lft-out
1×+-commutative clear-num associate-/r* sum-log frac-2neg pow-prod-down *-commutative fma-udef div-inv unswap-sqr
Counts
4 → 79
Calls
4 calls:
Slowest
32.0ms
(* (+ (exp x) 2) (exp x))
25.0ms
(/ (fma (exp x) (fma (exp x) (exp x) -4) (+ 2 (exp x))) (* (+ (exp x) 2) (exp x)))
11.0ms
(+ 2 (exp x))
1.0ms
(fma (exp x) (fma (exp x) (exp x) -4) (+ 2 (exp x)))

series379.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
249.0ms
(/ (fma (exp x) (fma (exp x) (exp x) -4) (+ 2 (exp x))) (* (+ (exp x) 2) (exp x)))
90.0ms
(fma (exp x) (fma (exp x) (exp x) -4) (+ 2 (exp x)))
25.0ms
(* (+ (exp x) 2) (exp x))
15.0ms
(+ 2 (exp x))

simplify5.6s

Counts
43 → 91
Calls
43 calls:
Slowest
675.0ms
(* (* (* (+ (exp x) 2) (+ (exp x) 2)) (+ (exp x) 2)) (* (* (exp x) (exp x)) (exp x)))
480.0ms
(* (+ (pow (exp x) 3) (pow 2 3)) (exp x))
376.0ms
(/ (* (* (fma (exp x) (fma (exp x) (exp x) -4) (+ 2 (exp x))) (fma (exp x) (fma (exp x) (exp x) -4) (+ 2 (exp x)))) (fma (exp x) (fma (exp x) (exp x) -4) (+ 2 (exp x)))) (* (* (* (+ (exp x) 2) (+ (exp x) 2)) (+ (exp x) 2)) (* (* (exp x) (exp x)) (exp x))))
368.0ms
(* (- (* (exp x) (exp x)) (* 2 2)) (exp x))
351.0ms
(/ (* (* (fma (exp x) (fma (exp x) (exp x) -4) (+ 2 (exp x))) (fma (exp x) (fma (exp x) (exp x) -4) (+ 2 (exp x)))) (fma (exp x) (fma (exp x) (exp x) -4) (+ 2 (exp x)))) (* (* (* (+ (exp x) 2) (exp x)) (* (+ (exp x) 2) (exp x))) (* (+ (exp x) 2) (exp x))))

prune834.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

2.7b
(fma (fma (exp x) (exp x) -3) (exp x) 2)
0.0b
(* (+ (exp x) 2) (exp x))
0.0b
(/ (fma (fma (exp x) (exp x) -3) (exp x) 2) (* (+ (exp x) 2) (exp x)))
0.0b
(fma (exp x) (exp x) -3)

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
11×add-cbrt-cube
10×add-sqr-sqrt *-un-lft-identity
9×add-exp-log
8×add-cube-cbrt
6×pow1
4×expm1-log1p-u associate-*l* associate-*l/ insert-posit16 log1p-expm1-u add-log-exp
3×times-frac associate-*r* associate-/l*
2×cbrt-undiv flip3-+ div-exp prod-exp associate-/r/ cbrt-unprod flip-+ fma-udef
1×clear-num associate-/r* frac-2neg pow-prod-down *-commutative div-inv distribute-lft-out unswap-sqr
Counts
4 → 72
Calls
4 calls:
Slowest
36.0ms
(* (+ (exp x) 2) (exp x))
19.0ms
(/ (fma (fma (exp x) (exp x) -3) (exp x) 2) (* (+ (exp x) 2) (exp x)))
1.0ms
(fma (fma (exp x) (exp x) -3) (exp x) 2)
0.0ms
(fma (exp x) (exp x) -3)

series332.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
179.0ms
(/ (fma (fma (exp x) (exp x) -3) (exp x) 2) (* (+ (exp x) 2) (exp x)))
81.0ms
(fma (fma (exp x) (exp x) -3) (exp x) 2)
37.0ms
(* (+ (exp x) 2) (exp x))
35.0ms
(fma (exp x) (exp x) -3)

simplify5.3s

Counts
39 → 84
Calls
39 calls:
Slowest
635.0ms
(* (* (* (+ (exp x) 2) (+ (exp x) 2)) (+ (exp x) 2)) (* (* (exp x) (exp x)) (exp x)))
565.0ms
(* (+ (pow (exp x) 3) (pow 2 3)) (exp x))
496.0ms
(* (- (* (exp x) (exp x)) (* 2 2)) (exp x))
405.0ms
(/ (* (* (fma (fma (exp x) (exp x) -3) (exp x) 2) (fma (fma (exp x) (exp x) -3) (exp x) 2)) (fma (fma (exp x) (exp x) -3) (exp x) 2)) (* (* (* (+ (exp x) 2) (exp x)) (* (+ (exp x) 2) (exp x))) (* (+ (exp x) 2) (exp x))))
320.0ms
(/ (* (* (fma (fma (exp x) (exp x) -3) (exp x) 2) (fma (fma (exp x) (exp x) -3) (exp x) 2)) (fma (fma (exp x) (exp x) -3) (exp x) 2)) (* (* (* (+ (exp x) 2) (+ (exp x) 2)) (+ (exp x) 2)) (* (* (exp x) (exp x)) (exp x))))

prune841.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes31.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch2.0ms

end0.0ms

sample6.1s

Algorithm
intervals
Results
4.2s5703×body1280valid
1.0s7959×body80valid
459.0ms1241×body640valid
132.0ms576×body320valid
44.0ms313×body160valid