Details

Time bar (total: 1.7s)

sample41.0ms

Algorithm
intervals
Results
17.0ms118×body1280valid
7.0ms80×body640valid
4.0ms401×pre80true
2.0ms36×body320valid
2.0ms149×body80valid
1.0ms18×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
062
172
272

prune2.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 58.9b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

4.5b
(- (exp 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 x) 1.0)

series16.0ms

Counts
1 → 3
Calls
1 calls:
16.0ms
(- (exp x) 1.0)

simplify53.0ms

Algorithm
egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
07872
117567
247166
3135366
4500266

prune32.0ms

Filtered
17 candidates to 12 candidates (29.4%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New16117
Fresh000
Picked101
Done000
Total17118

Merged error: 0.0b

Counts
18 → 1

localize7.0ms

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
12×associate-*l*
11×*-un-lft-identity
add-exp-log
associate-*r*
add-cube-cbrt
pow1 add-cbrt-cube
unswap-sqr
unpow-prod-down prod-exp
+-commutative distribute-rgt-in distribute-lft-in associate-*r/ pow-prod-down *-commutative cbrt-unprod distribute-lft-out unpow2 add-log-exp sqr-pow
pow-to-exp flip3-+ pow-exp flip-+
Counts
2 → 54
Calls
2 calls:
13.0ms
(* (pow x 2) (+ (* x 1/6) 1/2))
4.0ms
(* x 1/6)

series81.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(* (pow x 2) (+ (* x 1/6) 1/2))
14.0ms
(* x 1/6)

simplify43.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0244254
11142230
25002230

prune82.0ms

Filtered
60 candidates to 36 candidates (40.0%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New60060
Fresh000
Picked011
Done000
Total60161

Merged error: 0.0b

Counts
61 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1135

end0.0ms

sample1.3s

Algorithm
intervals
Results
515.0ms3548×body1280valid
283.0ms12092×pre80true
215.0ms2452×body640valid
69.0ms1227×body320valid
58.0ms4265×body80valid
20.0ms600×body160valid