Details

Time bar (total: 2.4s)

sample38.0ms

Algorithm
intervals
Results
21.0ms110×body1280valid
4.0ms37×body640valid
3.0ms150×body80valid
2.0ms24×body320valid
0.0ms10×body160valid

simplify62.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1183
2263
3483
41103
53183
616233
750013

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.0b

localize5.0ms

Local error

Found 1 expressions with local error:

3.0b
(- (exp (* a x)) 1.0)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity add-log-exp
pow1 add-exp-log add-cube-cbrt sub-neg flip3-- diff-log add-cbrt-cube flip-- distribute-lft-out-- difference-of-squares
Counts
1 → 14
Calls
1 calls:
4.0ms
(- (exp (* a x)) 1.0)

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(- (exp (* a x)) 1.0)

simplify40.0ms

Algorithm
egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
0103100
130092
2105590
3500190

prune50.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 6.3b

localize14.0ms

Local error

Found 4 expressions with local error:

1.9b
(* x (+ a (* (* 1/2 (pow a 2)) x)))
6.5b
(* (* 1/2 (pow a 2)) x)
9.8b
(+ (* x (+ a (* (* 1/2 (pow a 2)) x))) (* 1/6 (* (pow a 3) (pow x 3))))
15.2b
(* (pow a 3) (pow x 3))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
28×add-exp-log
18×associate-*r*
17×prod-exp unswap-sqr
16×associate-*l*
14×unpow-prod-down cube-prod
13×add-cube-cbrt *-un-lft-identity add-cbrt-cube
10×sqr-pow
pow1
pow-to-exp pow-exp
add-log-exp
cbrt-unprod
pow-prod-down *-commutative
distribute-rgt-in cube-mult associate-+l+ distribute-lft-in flip3-+ unpow3 associate-*r/ flip-+
+-commutative sum-log
Counts
4 → 113
Calls
4 calls:
7.0ms
(* x (+ a (* (* 1/2 (pow a 2)) x)))
12.0ms
(* (* 1/2 (pow a 2)) x)
6.0ms
(+ (* x (+ a (* (* 1/2 (pow a 2)) x))) (* 1/6 (* (pow a 3) (pow x 3))))
11.0ms
(* (pow a 3) (pow x 3))

series229.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* x (+ a (* (* 1/2 (pow a 2)) x)))
20.0ms
(* (* 1/2 (pow a 2)) x)
96.0ms
(+ (* x (+ a (* (* 1/2 (pow a 2)) x))) (* 1/6 (* (pow a 3) (pow x 3))))
58.0ms
(* (pow a 3) (pow x 3))

simplify105.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0471797
12758738
25001738

prune301.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.9b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ a (* (* 1/2 (pow a 2)) x))
1.9b
(* x (+ a (* (* 1/2 (pow a 2)) x)))
6.5b
(* (* 1/2 (pow a 2)) x)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
15×add-exp-log
10×add-cbrt-cube
add-sqr-sqrt prod-exp
pow1
add-cube-cbrt *-un-lft-identity associate-*r*
add-log-exp
associate-*l* cbrt-unprod
flip3-+ associate-*r/ pow-prod-down *-commutative flip-+
+-commutative distribute-rgt-in pow-to-exp distribute-lft-in pow-exp sum-log unswap-sqr
Counts
3 → 52
Calls
3 calls:
2.0ms
(+ a (* (* 1/2 (pow a 2)) x))
7.0ms
(* x (+ a (* (* 1/2 (pow a 2)) x)))
9.0ms
(* (* 1/2 (pow a 2)) x)

series122.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(+ a (* (* 1/2 (pow a 2)) x))
58.0ms
(* x (+ a (* (* 1/2 (pow a 2)) x)))
20.0ms
(* (* 1/2 (pow a 2)) x)

simplify48.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0258363
11428319
25002318

prune116.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize2.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune0.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

regimes202.0ms

Accuracy

97.1% (0.6b remaining)

Error of 0.8b against oracle of 0.2b and baseline of 21.4b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02116
12116

end0.0ms

sample919.0ms

Algorithm
intervals
Results
428.0ms2702×body1280valid
137.0ms1309×body640valid
106.0ms5479×body80valid
49.0ms741×body320valid
19.0ms438×body160valid