Details

Time bar (total: 7.8s)

sample51.0ms

Algorithm
intervals
Results
12.0ms172×body80valid
7.0ms28×body1280valid
6.0ms134×body80nan
5.0ms29×body640valid
3.0ms23×body320valid
2.0ms10×body1280nan
2.0ms13×body640nan
1.0ms9×body320nan
0.0ms5×body160nan
0.0ms4×body160valid

simplify29.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.1b

localize13.0ms

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))
1.7b
(- 1.0 (/ (- x y) (- 1.0 y)))
3.1b
(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
192×add-sqr-sqrt
184×*-un-lft-identity
105×prod-diff
103×times-frac
91×add-cube-cbrt
49×difference-of-squares
47×distribute-lft-out--
12×log-prod
9×pow1 flip3-- flip--
8×associate-/r/
7×add-exp-log add-log-exp
6×fma-neg add-cbrt-cube associate--r+
5×associate-/r* log-pow associate-/l*
4×expm1-log1p-u log-div log1p-expm1-u div-inv
3×associate--r-
2×sub-neg diff-log div-sub associate-/l/
1×cbrt-undiv frac-2neg div-exp rem-log-exp clear-num
Counts
4 → 227
Calls
4 calls:
25.0ms
(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
17.0ms
(/ (- x y) (- 1.0 y))
27.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
30.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

series301.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
40.0ms
(/ (- x y) (- 1.0 y))
61.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
96.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify123.0ms

Algorithm
egg-herbie
Counts
239 → 239
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
09864621
132403344
250013134

prune502.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- 1.0 y))
0.3b
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
3.1b
(log (- 1.0 (/ (/ (- x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y)))))
14.3b
(- 1.0 (/ (/ (- x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y))))

rewrite274.0ms

Algorithm
rewrite-expression-head
Rules
540×times-frac
506×add-sqr-sqrt
480×*-un-lft-identity
426×prod-diff
310×add-cube-cbrt
308×cbrt-div
292×cbrt-prod
198×associate-/r/
156×flip3-- flip--
100×frac-times
90×difference-of-squares
84×distribute-lft-out--
50×associate-*r/ associate-*l/
27×div-inv
12×pow1
10×swap-sqr
9×log-prod
8×associate-*r* associate-*l*
7×add-exp-log pow1/3
6×add-log-exp
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u unswap-sqr
3×fma-neg
2×log-div div-sub pow-prod-down pow-sqr pow-prod-up
1×pow2 sub-neg pow-plus diff-log rem-log-exp prod-exp log-pow *-commutative cbrt-unprod associate--r-
Counts
4 → 547
Calls
4 calls:
2.0ms
(cbrt (- 1.0 y))
22.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
93.0ms
(log (- 1.0 (/ (/ (- x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y)))))
86.0ms
(- 1.0 (/ (/ (- x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y))))

series384.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(cbrt (- 1.0 y))
129.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
96.0ms
(log (- 1.0 (/ (/ (- x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y)))))
57.0ms
(- 1.0 (/ (/ (- x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y))))

simplify311.0ms

Algorithm
egg-herbie
Counts
559 → 559
Iterations

Useful iterations: 1 (58.0ms)

IterNodesCost
0326432435
1500130574

prune1.7s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

1.7b
(- 1.0 (/ (- x y) (- 1.0 y)))
3.1b
(log (- 1.0 (/ (- x y) (- 1.0 y))))
3.1b
(log (- 1.0 (/ (- x y) (- 1.0 y))))
3.1b
(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
152×add-sqr-sqrt
140×*-un-lft-identity
93×prod-diff
79×times-frac
72×add-cube-cbrt
38×difference-of-squares
34×distribute-lft-out--
18×log-prod
7×pow1 add-exp-log flip3-- flip--
6×log-div associate-/r/ add-log-exp
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u
3×fma-neg rem-log-exp log-pow div-inv
1×sub-neg diff-log div-sub associate--r-
Counts
4 → 171
Calls
4 calls:
28.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
30.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))
32.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))
30.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

series338.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
93.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))
93.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))
96.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify104.0ms

Algorithm
egg-herbie
Counts
183 → 183
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
07434004
123232916
250012680

prune439.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

1.7b
(- 1.0 (/ (- x y) (- 1.0 y)))
3.1b
(log (- 1.0 (/ (- x y) (- 1.0 y))))
3.1b
(log (- 1.0 (/ (- x y) (- 1.0 y))))
3.1b
(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
152×add-sqr-sqrt
140×*-un-lft-identity
93×prod-diff
79×times-frac
72×add-cube-cbrt
38×difference-of-squares
34×distribute-lft-out--
18×log-prod
7×pow1 add-exp-log flip3-- flip--
6×log-div associate-/r/ add-log-exp
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u
3×fma-neg rem-log-exp log-pow div-inv
1×sub-neg diff-log div-sub associate--r-
Counts
4 → 171
Calls
4 calls:
28.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
32.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))
30.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))
33.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

series343.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
93.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))
93.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))
95.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify97.0ms

Algorithm
egg-herbie
Counts
183 → 183
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
07434004
123232916
250012680

prune495.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

regimes257.0ms

Accuracy

99.7% (0.1b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 17.4b

bsearch182.0ms

Steps
ItersRangePoint
9
0.24914757354793585
42942575.54555991
36683682.57368248
9
-8.085901714425178e+20
-317207061041.6537
-325586491895.52155

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03823
13823

end0.0ms

sample1.4s

Algorithm
intervals
Results
397.0ms5624×body80valid
199.0ms813×body1280valid
192.0ms3628×body80nan
145.0ms805×body640valid
71.0ms360×body1280nan
67.0ms486×body320valid
63.0ms409×body640nan
27.0ms272×body160valid
27.0ms210×body320nan
11.0ms131×body160nan