Details

Time bar (total: 5.1s)

sample173.0ms

Algorithm
intervals
Results
52.0ms99×body1280valid
26.0ms91×body640valid
8.0ms233×body80nan
7.0ms38×body320valid
2.0ms23×body160valid
0.0ms5×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0186
1256
2406
3616
4886
51046
61136
71136

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 58.7b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
6.8b
(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
41×add-sqr-sqrt
40×times-frac
26×log-prod
23×add-cube-cbrt
11×distribute-lft-out
9×distribute-lft-out-- difference-of-squares
7×add-exp-log
5×associate-/r*
4×associate-/r/ add-cbrt-cube associate-/l*
3×pow1
2×flip3-- div-exp rem-log-exp flip-- div-inv associate-/l/ add-log-exp
1×cbrt-undiv log-div frac-2neg flip3-+ clear-num log-pow flip-+
Counts
2 → 82
Calls
2 calls:
7.0ms
(/ (+ 1.0 x) (- 1.0 x))
7.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series8.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ (+ 1.0 x) (- 1.0 x))
5.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify116.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0318660
11025624
24261602
35003602

prune133.0ms

Filtered
58 candidates to 88 candidates (-51.7%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New85388
Fresh000
Picked101
Done000
Total86389

Merged error: 0.1b

Counts
89 → 3

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 2.0 (/ (pow x 2) (pow 1.0 2)))
0.0b
(+ (pow x 2) x)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
70×add-sqr-sqrt
68×associate-*r*
56×unpow-prod-down
39×*-un-lft-identity
36×add-cube-cbrt
26×unpow2
25×add-exp-log
24×sqr-pow
17×unswap-sqr
10×prod-exp
9×div-exp
7×add-cbrt-cube
6×pow-to-exp pow-exp
4×pow1 add-log-exp
3×associate-*l*
2×cbrt-unprod
1×cbrt-undiv +-commutative distribute-rgt-out distribute-lft1-in flip3-+ associate-*r/ pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out
Counts
2 → 124
Calls
2 calls:
19.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))
5.0ms
(+ (pow x 2) x)

series12.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))
4.0ms
(+ (pow x 2) x)

simplify56.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0586700
12461578
25002577

prune236.0ms

Filtered
80 candidates to 130 candidates (-62.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1291130
Fresh022
Picked011
Done000
Total1294133

Merged error: 0.1b

Counts
133 → 4

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 2.0 (/ (pow x 2) (pow 1.0 2)))
0.0b
(+ (pow x 2) x)
3.8b
(log (exp (* 2.0 (/ (pow x 2) (pow 1.0 2)))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
72×add-sqr-sqrt
68×associate-*r*
56×unpow-prod-down
41×*-un-lft-identity
38×add-cube-cbrt
26×add-exp-log unpow2
24×sqr-pow
17×unswap-sqr
10×prod-exp
9×div-exp
8×add-cbrt-cube
6×pow1 pow-to-exp pow-exp add-log-exp
3×log-prod associate-*l* log-pow
2×cbrt-unprod
1×cbrt-undiv +-commutative exp-prod distribute-rgt-out exp-to-pow distribute-lft1-in flip3-+ associate-*r/ rem-log-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out
Counts
3 → 138
Calls
3 calls:
19.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))
5.0ms
(+ (pow x 2) x)
2.0ms
(log (exp (* 2.0 (/ (pow x 2) (pow 1.0 2)))))

series15.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))
4.0ms
(+ (pow x 2) x)
6.0ms
(log (exp (* 2.0 (/ (pow x 2) (pow 1.0 2)))))

simplify59.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0604800
12487662
25001661

prune312.0ms

Filtered
92 candidates to 147 candidates (-59.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1461147
Fresh022
Picked101
Done011
Total1474151

Merged error: 0.1b

Counts
151 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 2.0 (/ (pow x 2) (pow 1.0 2)))
0.0b
(+ (pow x 2) x)
2.8b
(exp (log (+ (pow x 2) x)))
3.8b
(log (exp (* 2.0 (/ (pow x 2) (pow 1.0 2)))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
75×add-sqr-sqrt
68×associate-*r*
56×unpow-prod-down
47×*-un-lft-identity
41×add-cube-cbrt
28×unpow2
27×add-exp-log
24×sqr-pow
17×unswap-sqr
10×prod-exp
9×log-prod div-exp add-cbrt-cube
8×pow1
7×add-log-exp
6×pow-to-exp exp-sum pow-exp
5×exp-prod
4×log-pow
3×associate-*l*
2×log-div distribute-rgt-out distribute-lft1-in flip3-+ exp-diff cbrt-unprod flip-+ distribute-lft-out
1×cbrt-undiv +-commutative exp-to-pow associate-*r/ rem-log-exp pow-prod-down sum-log *-commutative div-inv rem-exp-log
Counts
4 → 158
Calls
4 calls:
20.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))
7.0ms
(+ (pow x 2) x)
6.0ms
(exp (log (+ (pow x 2) x)))
2.0ms
(log (exp (* 2.0 (/ (pow x 2) (pow 1.0 2)))))

series19.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))
4.0ms
(+ (pow x 2) x)
5.0ms
(exp (log (+ (pow x 2) x)))
5.0ms
(log (exp (* 2.0 (/ (pow x 2) (pow 1.0 2)))))

simplify59.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0643888
12583744
25001740

prune411.0ms

Filtered
108 candidates to 170 candidates (-57.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1691170
Fresh022
Picked101
Done011
Total1704174

Merged error: 0.1b

Counts
174 → 4

regimes62.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02012
12012

end0.0ms

sample3.3s

Algorithm
intervals
Results
1.7s3405×body1280valid
719.0ms2509×body640valid
291.0ms7994×body80nan
215.0ms1237×body320valid
70.0ms626×body160valid
11.0ms223×body80valid

Profiling

Loading profile data...