Details

Time bar (total: 6.4s)

sample153.0ms

Algorithm
intervals
Results
71.0ms97×body1280valid
35.0ms87×body640valid
13.0ms261×body80nan
13.0ms41×body320valid
4.0ms27×body160valid
0.0ms4×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0186
1256
2406
3616
4886
51046
61136
71136

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 59.0b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
8.0b
(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)))

series191.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (+ 1.0 x) (- 1.0 x))
140.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify119.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0318660
11025624
24261602
35001602

prune162.0ms

Filtered
88 candidates to 58 candidates (65.9%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New84488
Fresh000
Picked101
Done000
Total85489

Merged error: 0.1b

Counts
89 → 4

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite26.0ms

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:
19.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series53.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify51.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0528643
12205526
25001525

prune220.0ms

Filtered
113 candidates to 68 candidates (60.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1130113
Fresh033
Picked011
Done000
Total1134117

Merged error: 0.1b

Counts
117 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(cbrt (log (/ (+ 1.0 x) (- 1.0 x))))
8.0b
(log (/ (+ 1.0 x) (- 1.0 x)))
8.0b
(log (/ (+ 1.0 x) (- 1.0 x)))
8.0b
(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
89×*-un-lft-identity
78×log-prod
60×times-frac
59×add-sqr-sqrt
35×add-cube-cbrt
15×distribute-lft-out
13×add-exp-log
12×distribute-lft-out-- difference-of-squares
8×pow1
6×rem-log-exp associate-/r/
4×cbrt-prod log-pow add-cbrt-cube add-log-exp
3×log-div flip3-- div-exp flip-- div-inv
1×pow1/3
Counts
4 → 123
Calls
4 calls:
1.0ms
(cbrt (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)))
7.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series680.0ms

Counts
4 → 12
Calls
4 calls:
278.0ms
(cbrt (log (/ (+ 1.0 x) (- 1.0 x))))
127.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))
149.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))
125.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify135.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 3 (121.0ms)

IterNodesCost
03481228
110151158
243991100
350021098

prune311.0ms

Filtered
135 candidates to 89 candidates (65.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1350135
Fresh022
Picked011
Done011
Total1354139

Merged error: 0.1b

Counts
139 → 4

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))
8.1b
(log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))
8.1b
(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
281×add-sqr-sqrt
257×*-un-lft-identity
200×times-frac
144×difference-of-squares
109×log-prod
108×unpow-prod-down cube-prod
72×sqr-pow
65×add-cube-cbrt
51×distribute-lft-out
45×distribute-lft-out--
25×associate-/r*
9×difference-cubes add-exp-log
5×pow1 add-cbrt-cube
4×associate-/r/ associate-/l*
3×log-div rem-log-exp add-log-exp
2×flip3-- flip3-+ div-exp log-pow flip-- flip-+ div-inv associate-/l/
1×cbrt-undiv frac-2neg clear-num
Counts
3 → 276
Calls
3 calls:
21.0ms
(/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))
6.0ms
(log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))
19.0ms
(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))

series183.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))
59.0ms
(log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))
73.0ms
(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))

simplify97.0ms

Algorithm
egg-herbie
Counts
285 → 285
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
07553401
124163316
250013308

prune584.0ms

Filtered
285 candidates to 138 candidates (48.4%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2841285
Fresh101
Picked011
Done022
Total2854289

Merged error: 0.1b

Counts
289 → 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

sample3.2s

Algorithm
intervals
Results
1.7s3419×body1280valid
694.0ms2439×body640valid
303.0ms8277×body80nan
220.0ms1246×body320valid
74.0ms676×body160valid
11.0ms220×body80valid