Details

Time bar (total: 5.3s)

sample112.0ms

Algorithm
intervals
Results
55.0ms112×body1280valid
26.0ms79×body640valid
9.0ms221×body80nan
8.0ms43×body320valid
2.0ms15×body160valid
0.0ms7×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0186
1256
2406
3616
4886
51046
61136
71136

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 58.9b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
5.3b
(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))
6.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series9.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ (+ 1.0 x) (- 1.0 x))
6.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify120.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0318660
11025624
24261602
35003602

prune144.0ms

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: 0.2b

Counts
89 → 3

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
69×add-sqr-sqrt
68×associate-*r*
56×unpow-prod-down
35×add-cube-cbrt *-un-lft-identity
24×add-exp-log unpow2 sqr-pow
17×unswap-sqr
10×prod-exp
9×div-exp
6×pow-to-exp pow-exp add-cbrt-cube
3×pow1 associate-*l*
2×cbrt-unprod
1×cbrt-undiv associate-*r/ pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 110
Calls
1 calls:
20.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify50.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0528643
12205526
25001525

prune200.0ms

Filtered
68 candidates to 113 candidates (-66.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1130113
Fresh022
Picked011
Done000
Total1133116

Merged error: 0.2b

Counts
116 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (cbrt (log (/ (+ 1.0 x) (- 1.0 x)))) (cbrt (log (/ (+ 1.0 x) (- 1.0 x)))))
5.3b
(log (/ (+ 1.0 x) (- 1.0 x)))
5.3b
(log (/ (+ 1.0 x) (- 1.0 x)))
5.3b
(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
98×*-un-lft-identity
78×log-prod
74×add-sqr-sqrt
60×times-frac
42×add-cube-cbrt
24×cbrt-prod
20×pow1
15×add-exp-log distribute-lft-out
12×distribute-lft-out-- difference-of-squares
9×swap-sqr log-pow
7×associate-*r* associate-*l*
6×pow1/3 rem-log-exp associate-/r/
4×add-cbrt-cube add-log-exp unswap-sqr
3×log-div flip3-- div-exp flip-- div-inv
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 156
Calls
4 calls:
6.0ms
(* (cbrt (log (/ (+ 1.0 x) (- 1.0 x)))) (cbrt (log (/ (+ 1.0 x) (- 1.0 x)))))
6.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))
7.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))
7.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series27.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(* (cbrt (log (/ (+ 1.0 x) (- 1.0 x)))) (cbrt (log (/ (+ 1.0 x) (- 1.0 x)))))
5.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))
5.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))
5.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify53.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
03991693
113311588
250021432

prune438.0ms

Filtered
105 candidates to 168 candidates (-60.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1662168
Fresh011
Picked101
Done011
Total1674171

Merged error: 0.2b

Counts
171 → 4

localize22.0ms

Local error

Found 4 expressions with local error:

5.1b
(log (/ 1 (sqrt (- 1.0 x))))
5.3b
(log (/ (+ 1.0 x) (- 1.0 x)))
5.3b
(log (/ (+ 1.0 x) (- 1.0 x)))
5.3b
(log (/ (+ 1.0 x) (sqrt (- 1.0 x))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
122×*-un-lft-identity
120×log-prod
96×times-frac
86×add-sqr-sqrt
56×add-cube-cbrt
35×sqrt-prod
18×add-exp-log distribute-lft-out
15×distribute-lft-out-- difference-of-squares
10×pow1 rem-log-exp
8×associate-/r/ log-pow
5×div-exp
4×log-div flip3-- sqrt-div add-cbrt-cube flip-- div-inv add-log-exp
3×pow-flip
1×rec-exp sqrt-pow1 pow1/2 1-exp log-rec inv-pow
Counts
4 → 171
Calls
4 calls:
6.0ms
(log (/ 1 (sqrt (- 1.0 x))))
6.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))
6.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))
8.0ms
(log (/ (+ 1.0 x) (sqrt (- 1.0 x))))

series31.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(log (/ 1 (sqrt (- 1.0 x))))
9.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))
5.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))
10.0ms
(log (/ (+ 1.0 x) (sqrt (- 1.0 x))))

simplify62.0ms

Algorithm
egg-herbie
Counts
183 → 183
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
07031795
122651708
250011601

prune588.0ms

Filtered
112 candidates to 183 candidates (-63.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1812183
Fresh022
Picked101
Done011
Total1825187

Merged error: 0.2b

Counts
187 → 5

regimes44.0ms

Accuracy

0% (0.6b 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
1.6s3316×body1280valid
728.0ms2522×body640valid
294.0ms7965×body80nan
223.0ms1270×body320valid
73.0ms671×body160valid
11.0ms221×body80valid

Profiling

Loading profile data...