Details

Time bar (total: 5.8s)

sample101.0ms

Algorithm
intervals
Results
54.0ms109×body1280valid
21.0ms82×body640valid
7.0ms227×body80nan
6.0ms37×body320valid
1.0ms15×body160valid
1.0ms13×body80valid

simplify17.0ms

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: 57.2b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
5.0b
(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite18.0ms

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:
8.0ms
(/ (+ 1.0 x) (- 1.0 x))
7.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series159.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ (+ 1.0 x) (- 1.0 x))
121.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify128.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 3 (118.0ms)

IterNodesCost
0334673
11078636
24549616
35001613

prune189.0ms

Filtered
92 candidates to 62 candidates (67.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New85792
Fresh000
Picked011
Done000
Total85893

Merged error: 0.1b

Counts
93 → 8

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
0.0b
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
70×add-sqr-sqrt
68×associate-*r*
56×unpow-prod-down
36×add-cube-cbrt *-un-lft-identity
25×add-exp-log
24×unpow2 sqr-pow
17×unswap-sqr
10×prod-exp
9×div-exp
7×add-cbrt-cube
6×pow-to-exp pow-exp
4×pow1
3×associate-*l*
2×expm1-log1p-u cbrt-unprod log1p-expm1-u add-log-exp
1×cbrt-undiv associate-*r/ pow-prod-down *-commutative fma-udef div-inv
Counts
2 → 122
Calls
2 calls:
1.0ms
(fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
21.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series365.0ms

Counts
2 → 6
Calls
2 calls:
311.0ms
(fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
55.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify59.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0555769
12288635
25002634

prune306.0ms

Filtered
128 candidates to 81 candidates (63.3%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1280128
Fresh066
Picked011
Done011
Total1288136

Merged error: 0.1b

Counts
136 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (log (+ 1.0 x)) (log (- 1.0 x)))
4.8b
(log (- 1.0 x))
4.9b
(log (+ 1.0 x))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
22×add-sqr-sqrt
18×pow1 log-prod
16×add-cube-cbrt prod-diff
15×log-pow
8×log-div
6×distribute-lft-out--
5×add-exp-log associate--r+
4×fma-neg associate--l+
3×expm1-log1p-u flip3-- add-cbrt-cube flip-- log1p-expm1-u add-log-exp difference-of-squares
2×associate--l- flip3-+ rem-log-exp flip-+ distribute-lft-out associate--r-
1×sub-neg diff-log
Counts
3 → 87
Calls
3 calls:
10.0ms
(- (log (+ 1.0 x)) (log (- 1.0 x)))
4.0ms
(log (- 1.0 x))
4.0ms
(log (+ 1.0 x))

series356.0ms

Counts
3 → 9
Calls
3 calls:
264.0ms
(- (log (+ 1.0 x)) (log (- 1.0 x)))
49.0ms
(log (- 1.0 x))
43.0ms
(log (+ 1.0 x))

simplify132.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 3 (122.0ms)

IterNodesCost
0372830
11084632
24581619
35001598

prune385.0ms

Filtered
96 candidates to 63 candidates (65.6%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New92496
Fresh325
Picked101
Done202
Total986104

Merged error: 0.0b

Counts
104 → 6

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma 2/3 (/ (pow x 3) (pow 1.0 3)) (fma 2.0 x (* 2/5 (/ (pow x 5) (pow 1.0 5)))))
0.1b
(* 2/5 (/ (pow x 5) (pow 1.0 5)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
58×times-frac
55×add-sqr-sqrt
53×associate-*r*
48×unpow-prod-down
32×add-cube-cbrt *-un-lft-identity
25×add-exp-log
20×sqr-pow
10×prod-exp unswap-sqr
9×div-exp
7×add-cbrt-cube
6×pow-to-exp pow-exp
4×pow1
3×associate-*l*
2×expm1-log1p-u cbrt-unprod log1p-expm1-u add-log-exp
1×cbrt-undiv associate-*r/ pow-prod-down *-commutative fma-udef div-inv
Counts
2 → 100
Calls
2 calls:
1.0ms
(fma 2/3 (/ (pow x 3) (pow 1.0 3)) (fma 2.0 x (* 2/5 (/ (pow x 5) (pow 1.0 5)))))
17.0ms
(* 2/5 (/ (pow x 5) (pow 1.0 5)))

series197.0ms

Counts
2 → 6
Calls
2 calls:
93.0ms
(fma 2/3 (/ (pow x 3) (pow 1.0 3)) (fma 2.0 x (* 2/5 (/ (pow x 5) (pow 1.0 5)))))
104.0ms
(* 2/5 (/ (pow x 5) (pow 1.0 5)))

simplify62.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0494703
12136666
25001666

prune319.0ms

Filtered
106 candidates to 73 candidates (68.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1060106
Fresh055
Picked011
Done000
Total1066112

Merged error: 0.0b

Counts
112 → 6

regimes25.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02011
12011

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.5s3414×body1280valid
626.0ms2488×body640valid
239.0ms7846×body80nan
188.0ms1249×body320valid
59.0ms639×body160valid
9.0ms210×body80valid