Details

Time bar (total: 6.2s)

sample107.0ms

Algorithm
intervals
Results
51.0ms97×body1280valid
25.0ms87×body640valid
9.0ms261×body80nan
7.0ms41×body320valid
3.0ms27×body160valid
0.0ms4×body80valid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0186
1256
2406
3656
4986
51226
61356
71376
81376

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×expm1-log1p-u flip3-- div-exp rem-log-exp flip-- log1p-expm1-u div-inv associate-/l/ add-log-exp
1×cbrt-undiv log-div frac-2neg flip3-+ clear-num log-pow flip-+
Counts
2 → 86
Calls
2 calls:
7.0ms
(/ (+ 1.0 x) (- 1.0 x))
7.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series158.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ (+ 1.0 x) (- 1.0 x))
125.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify126.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 3 (116.0ms)

IterNodesCost
0334673
11078636
24549616
35001613

prune188.0ms

Filtered
92 candidates to 62 candidates (67.4%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New88492
Fresh000
Picked101
Done000
Total89493

Merged error: 0.1b

Counts
93 → 4

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite29.0ms

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 expm1-log1p-u associate-*r/ pow-prod-down *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 112
Calls
1 calls:
22.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series52.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify59.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0532653
12211536
25002535

prune264.0ms

Filtered
115 candidates to 70 candidates (60.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1150115
Fresh033
Picked011
Done000
Total1154119

Merged error: 0.1b

Counts
119 → 4

localize17.0ms

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))))

rewrite258.0ms

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×expm1-log1p-u log-div rem-log-exp log1p-expm1-u 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 → 282
Calls
3 calls:
18.0ms
(/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))
5.0ms
(log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))
214.0ms
(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))

series187.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))
66.0ms
(log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))
75.0ms
(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))

simplify102.0ms

Algorithm
egg-herbie
Counts
291 → 291
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
07793434
125653349
250023297

prune650.0ms

Filtered
291 candidates to 143 candidates (49.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2901291
Fresh112
Picked011
Done011
Total2914295

Merged error: 0.1b

Counts
295 → 4

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(expm1 (log1p (/ (+ 1.0 x) (- 1.0 x))))
0.0b
(/ (+ 1.0 x) (- 1.0 x))
60.2b
(log (expm1 (log1p (/ (+ 1.0 x) (- 1.0 x)))))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
25×add-sqr-sqrt
20×times-frac
15×add-cube-cbrt
6×add-exp-log distribute-lft-out
5×associate-/r* add-cbrt-cube distribute-lft-out-- difference-of-squares
4×pow1 associate-/l*
3×expm1-log1p-u log-prod log1p-expm1-u add-log-exp
2×associate-/r/ associate-/l/
1×cbrt-undiv expm1-log1p flip3-- frac-2neg flip3-+ div-exp rem-log-exp clear-num log-pow flip-- flip-+ div-inv expm1-udef
Counts
3 → 72
Calls
3 calls:
1.0ms
(expm1 (log1p (/ (+ 1.0 x) (- 1.0 x))))
8.0ms
(/ (+ 1.0 x) (- 1.0 x))
1.0ms
(log (expm1 (log1p (/ (+ 1.0 x) (- 1.0 x)))))

series385.0ms

Counts
3 → 9
Calls
3 calls:
150.0ms
(expm1 (log1p (/ (+ 1.0 x) (- 1.0 x))))
38.0ms
(/ (+ 1.0 x) (- 1.0 x))
197.0ms
(log (expm1 (log1p (/ (+ 1.0 x) (- 1.0 x)))))

simplify49.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0455697
11729624
25002611

prune191.0ms

Filtered
81 candidates to 62 candidates (76.5%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New81081
Fresh011
Picked011
Done022
Total81485

Merged error: 0.1b

Counts
85 → 4

regimes44.0ms

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
01610
11610

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.7s3419×body1280valid
692.0ms2439×body640valid
301.0ms8277×body80nan
219.0ms1246×body320valid
74.0ms676×body160valid
11.0ms220×body80valid