Details

Time bar (total: 2.5s)

sample50.0ms

Algorithm
intervals
Results
21.0ms118×body1280valid
9.0ms82×body640valid
5.0ms377×pre80true
3.0ms132×body80valid
2.0ms27×body320valid
1.0ms18×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
062
172
272

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.9b

localize7.0ms

Local error

Found 1 expressions with local error:

5.7b
(- (exp x) 1.0)

rewrite5.0ms

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 x) 1.0)

series15.0ms

Counts
1 → 3
Calls
1 calls:
15.0ms
(- (exp x) 1.0)

simplify57.0ms

Algorithm
egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
08172
118567
249966
3139966
4500266

prune36.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (pow x 2) (+ (* x 1/6) 1/2))
0.3b
(* x 1/6)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
11×associate-*l*
add-exp-log
add-cube-cbrt *-un-lft-identity
associate-*r* add-cbrt-cube
unswap-sqr
pow1 unpow-prod-down prod-exp
associate-*r/ *-commutative cbrt-unprod unpow2 add-log-exp sqr-pow
distribute-rgt-in pow-to-exp distribute-lft-in flip3-+ pow-prod-down pow-exp flip-+
Counts
2 → 49
Calls
2 calls:
13.0ms
(* (pow x 2) (+ (* x 1/6) 1/2))
3.0ms
(* x 1/6)

series81.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(* (pow x 2) (+ (* x 1/6) 1/2))
13.0ms
(* x 1/6)

simplify40.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0247249
11230218
25001217

prune97.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

5.6b
(log (exp (- (exp x) 1.0)))
5.7b
(- (exp x) 1.0)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity
log-pow
log-prod exp-prod
add-cube-cbrt add-log-exp
pow1
add-exp-log sub-neg exp-sum add-cbrt-cube distribute-lft-out-- difference-of-squares
log-div flip3-- exp-diff diff-log rem-log-exp flip--
Counts
2 → 34
Calls
2 calls:
11.0ms
(log (exp (- (exp x) 1.0)))
4.0ms
(- (exp x) 1.0)

series33.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(log (exp (- (exp x) 1.0)))
14.0ms
(- (exp x) 1.0)

simplify64.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
0120161
1277146
2652144
31859144
45001144

prune56.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.1b
(cbrt (- (exp x) 1.0))
5.7b
(- (exp x) 1.0)
5.7b
(- (exp x) 1.0)
5.7b
(- (exp x) 1.0)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt *-un-lft-identity
10×add-log-exp
cbrt-prod add-cube-cbrt
pow1 add-exp-log flip3-- add-cbrt-cube flip-- distribute-lft-out-- difference-of-squares
sub-neg diff-log
cbrt-div
pow1/3
Counts
4 → 57
Calls
4 calls:
3.0ms
(cbrt (- (exp x) 1.0))
4.0ms
(- (exp x) 1.0)
4.0ms
(- (exp x) 1.0)
4.0ms
(- (exp x) 1.0)

series135.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(cbrt (- (exp x) 1.0))
14.0ms
(- (exp x) 1.0)
14.0ms
(- (exp x) 1.0)
14.0ms
(- (exp x) 1.0)

simplify44.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
0138332
1354298
21056293
35001293

prune141.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes75.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1135

end0.0ms

sample1.4s

Algorithm
intervals
Results
606.0ms3444×body1280valid
298.0ms2536×body640valid
139.0ms11900×pre80true
100.0ms4082×body80valid
93.0ms1224×body320valid
32.0ms614×body160valid