Details

Time bar (total: 5.1s)

sample79.0ms

Algorithm
intervals
Results
54.0ms181×body1280valid
7.0ms280×body80valid
6.0ms39×body640valid
2.0ms19×body320valid
1.0ms9×body160valid

simplify219.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0145
1265
2415
3555
4675
51045
61615
73445
814545
950015

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (exp x) 2.0)
4.0b
(+ (- (exp x) 2.0) (exp (- x)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
20×add-sqr-sqrt
18×prod-diff
16×add-cube-cbrt
11×associate-+l+
9×add-log-exp
5×fma-def
4×frac-add
3×flip3-- fma-neg flip-- distribute-lft-out--
2×pow1 add-exp-log neg-sub0 exp-neg expm1-log1p-u sub-neg exp-diff diff-log sum-log add-cbrt-cube log1p-expm1-u distribute-lft-out difference-of-squares
1×+-commutative associate-+l- flip3-+ flip-+
Counts
2 → 65
Calls
2 calls:
5.0ms
(- (exp x) 2.0)
25.0ms
(+ (- (exp x) 2.0) (exp (- x)))

series70.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(- (exp x) 2.0)
57.0ms
(+ (- (exp x) 2.0) (exp (- x)))

simplify34.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0282506
11008381
25001367

prune166.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma x x (fma 1/360 (pow x 6) (* 1/12 (pow x 4))))
0.0b
(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
0.1b
(* 1/12 (pow x 4))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
8×add-exp-log
7×associate-*r*
6×add-cube-cbrt *-un-lft-identity
5×add-cbrt-cube
4×unpow-prod-down
3×pow1 expm1-log1p-u associate-*l* prod-exp log1p-expm1-u add-log-exp unswap-sqr
2×fma-udef sqr-pow
1×pow-to-exp pow-exp *-commutative cbrt-unprod
Counts
3 → 47
Calls
3 calls:
0.0ms
(fma x x (fma 1/360 (pow x 6) (* 1/12 (pow x 4))))
0.0ms
(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
5.0ms
(* 1/12 (pow x 4))

series220.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(fma x x (fma 1/360 (pow x 6) (* 1/12 (pow x 4))))
127.0ms
(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
35.0ms
(* 1/12 (pow x 4))

simplify97.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0143265
1544240
22626237
35001237

prune143.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp x) 2.0)
0.0b
(* (+ (exp x) 2.0) (exp x))
0.3b
(/ (fma (exp x) (fma (- 2.0) 2.0 (exp (+ x x))) (+ (exp x) 2.0)) (* (+ (exp x) 2.0) (exp x)))
3.7b
(fma (exp x) (fma (- 2.0) 2.0 (exp (+ x x))) (+ (exp x) 2.0))

rewrite29.0ms

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/ 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 frac-2neg pow-prod-down clear-num associate-/r* sum-log *-commutative fma-udef div-inv unswap-sqr
Counts
4 → 75
Calls
4 calls:
4.0ms
(+ (exp x) 2.0)
15.0ms
(* (+ (exp x) 2.0) (exp x))
8.0ms
(/ (fma (exp x) (fma (- 2.0) 2.0 (exp (+ x x))) (+ (exp x) 2.0)) (* (+ (exp x) 2.0) (exp x)))
0.0ms
(fma (exp x) (fma (- 2.0) 2.0 (exp (+ x x))) (+ (exp x) 2.0))

series347.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(+ (exp x) 2.0)
23.0ms
(* (+ (exp x) 2.0) (exp x))
223.0ms
(/ (fma (exp x) (fma (- 2.0) 2.0 (exp (+ x x))) (+ (exp x) 2.0)) (* (+ (exp x) 2.0) (exp x)))
94.0ms
(fma (exp x) (fma (- 2.0) 2.0 (exp (+ x x))) (+ (exp x) 2.0))

simplify40.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0312834
11220713
25002710

prune248.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (exp x))
0.0b
(* (cbrt (exp x)) (cbrt (exp x)))
0.3b
(/ (fma (exp x) (fma (- 2.0) 2.0 (exp (+ x x))) (+ (exp x) 2.0)) (* (* (+ (exp x) 2.0) (* (cbrt (exp x)) (cbrt (exp x)))) (cbrt (exp x))))
3.7b
(fma (exp x) (fma (- 2.0) 2.0 (exp (+ x x))) (+ (exp x) 2.0))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
20×add-exp-log
19×cbrt-prod
15×add-cube-cbrt *-un-lft-identity
13×add-cbrt-cube
11×pow1
7×pow1/3 prod-exp cbrt-unprod
6×swap-sqr associate-*r* associate-*l*
4×cbrt-undiv expm1-log1p-u div-exp associate-*l/ log1p-expm1-u add-log-exp unswap-sqr
3×times-frac associate-/l*
2×pow-prod-down associate-/r/ pow-sqr pow-prod-up
1×pow2 frac-2neg flip3-+ pow-plus clear-num associate-/r* *-commutative flip-+ fma-udef div-inv
Counts
4 → 94
Calls
4 calls:
1.0ms
(cbrt (exp x))
7.0ms
(* (cbrt (exp x)) (cbrt (exp x)))
52.0ms
(/ (fma (exp x) (fma (- 2.0) 2.0 (exp (+ x x))) (+ (exp x) 2.0)) (* (* (+ (exp x) 2.0) (* (cbrt (exp x)) (cbrt (exp x)))) (cbrt (exp x))))
0.0ms
(fma (exp x) (fma (- 2.0) 2.0 (exp (+ x x))) (+ (exp x) 2.0))

series489.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(cbrt (exp x))
96.0ms
(* (cbrt (exp x)) (cbrt (exp x)))
219.0ms
(/ (fma (exp x) (fma (- 2.0) 2.0 (exp (+ x x))) (+ (exp x) 2.0)) (* (* (+ (exp x) 2.0) (* (cbrt (exp x)) (cbrt (exp x)))) (cbrt (exp x))))
92.0ms
(fma (exp x) (fma (- 2.0) 2.0 (exp (+ x x))) (+ (exp x) 2.0))

simplify63.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
04451316
120101039
25002988

prune294.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes28.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.7s5705×body1280valid
192.0ms1217×body640valid
192.0ms8054×body80valid
63.0ms604×body320valid
19.0ms303×body160valid