Details

Time bar (total: 5.0s)

sample57.0ms

Algorithm
intervals
Results
13.0ms195×body80valid
7.0ms30×body640valid
6.0ms123×body80nan
5.0ms16×body1280valid
5.0ms17×body1280nan
4.0ms10×body320valid
4.0ms18×body640nan
1.0ms5×body160valid
0.0ms2×body160nan
0.0ms1×body320nan

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0196
1296
2416
3606
4786
5946
61096
71396
82146
92796
102796

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.3b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
0.0b
(/ (- x y) (- 1.0 y))
1.3b
(- 1.0 (/ (- x y) (- 1.0 y)))
4.3b
(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
59×add-sqr-sqrt
51×*-un-lft-identity
28×times-frac
19×difference-of-squares
18×add-cube-cbrt
17×distribute-lft-out--
12×log-prod
7×add-exp-log add-log-exp
6×pow1 flip3-- add-cbrt-cube flip-- associate--r+
5×associate-/r* associate-/l*
4×log-div
3×associate--r-
2×sub-neg diff-log div-sub associate-/r/ log-pow associate-/l/
1×cbrt-undiv frac-2neg div-exp rem-log-exp clear-num div-inv
Counts
4 → 108
Calls
4 calls:
23.0ms
(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
11.0ms
(/ (- x y) (- 1.0 y))
22.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
20.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

series262.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
37.0ms
(/ (- x y) (- 1.0 y))
53.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
83.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify43.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0488942
11388894
25001876

prune290.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- 1.0 y))
0.1b
(* (- x y) (/ 1 (- 1.0 y)))
2.8b
(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))
4.3b
(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
42×*-un-lft-identity
32×times-frac
25×add-cube-cbrt
21×associate-*r*
18×add-exp-log
11×add-cbrt-cube
8×pow1 distribute-lft-out-- difference-of-squares
6×flip3-- flip-- add-log-exp
5×associate-*l* associate-/r*
4×div-exp prod-exp associate-/r/
3×log-prod associate-/l* unswap-sqr
2×cbrt-undiv frac-times log-div rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ rem-log-exp pow-prod-down clear-num log-pow un-div-inv *-commutative inv-pow
Counts
4 → 117
Calls
4 calls:
6.0ms
(/ 1 (- 1.0 y))
24.0ms
(* (- x y) (/ 1 (- 1.0 y)))
2.0ms
(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))
2.0ms
(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))

series196.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ 1 (- 1.0 y))
39.0ms
(* (- x y) (/ 1 (- 1.0 y)))
52.0ms
(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))
82.0ms
(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))

simplify55.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0480836
12036736
25001688

prune249.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

1.3b
(- 1.0 (/ (- x y) (- 1.0 y)))
4.3b
(log (- 1.0 (/ (- x y) (- 1.0 y))))
4.3b
(log (- 1.0 (/ (- x y) (- 1.0 y))))
4.3b
(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
18×log-prod
15×*-un-lft-identity
8×difference-of-squares
7×pow1 add-exp-log add-cube-cbrt
6×log-div add-log-exp
4×flip3-- times-frac add-cbrt-cube flip-- distribute-lft-out--
3×rem-log-exp log-pow
1×sub-neg diff-log div-sub associate--r-
Counts
4 → 67
Calls
4 calls:
20.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
19.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))
22.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))
20.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

series300.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
81.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))
82.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))
82.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify54.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
0194742
1481673
21890661
35002661

prune305.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

4.3b
(log (- 1.0 (/ (- x y) (- 1.0 y))))
4.3b
(log (- 1.0 (/ (- x y) (- 1.0 y))))
4.3b
(log (- 1.0 (/ (- x y) (- 1.0 y))))
4.3b
(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×log-prod
16×*-un-lft-identity
8×pow1 add-exp-log add-cube-cbrt log-div difference-of-squares
4×flip3-- times-frac rem-log-exp log-pow add-cbrt-cube flip-- distribute-lft-out-- add-log-exp
Counts
4 → 68
Calls
4 calls:
21.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))
20.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))
20.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))
23.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

series340.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))
84.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))
86.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))
85.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify46.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 3 (35.0ms)

IterNodesCost
0159796
1362720
21226708
35001700

prune366.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

regimes255.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 17.9b

bsearch145.0ms

Steps
ItersRangePoint
10
6835871.788935939
1.2337165720460575e+22
533944797.1677356
8
-203252004905.3082
-6461629.042770713
-150492446.47306386

simplify7.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03516
13516

end0.0ms

sample1.6s

Algorithm
intervals
Results
370.0ms5694×body80valid
265.0ms807×body1280valid
204.0ms3868×body80nan
200.0ms817×body640valid
109.0ms388×body1280nan
88.0ms402×body640nan
75.0ms428×body320valid
35.0ms219×body320nan
29.0ms254×body160valid
15.0ms143×body160nan