Details

Time bar (total: 8.2s)

sample36.0ms

Algorithm
intervals
Results
7.0ms178×body80valid
6.0ms30×body1280valid
3.0ms122×body80nan
3.0ms23×body640valid
2.0ms12×body1280nan
2.0ms16×body640nan
2.0ms17×body320valid
0.0ms8×body160valid
0.0ms5×body320nan
0.0ms3×body160nan

simplify19.0ms

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: 19.3b

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))
2.4b
(- 1.0 (/ (- x y) (- 1.0 y)))
3.6b
(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite110.0ms

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)))))
12.0ms
(/ (- x y) (- 1.0 y))
27.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
32.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

series277.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
37.0ms
(/ (- x y) (- 1.0 y))
56.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
89.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify103.0ms

Algorithm
egg-herbie
Counts
239 → 239
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
09864621
132403344
250013134

prune448.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- 1.0 y))
0.1b
(* (- x y) (/ 1 (- 1.0 y)))
3.6b
(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
4.9b
(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
44×*-un-lft-identity
32×times-frac
27×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×expm1-log1p-u div-exp prod-exp associate-/r/ log1p-expm1-u
3×log-prod fma-neg prod-diff 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 → 131
Calls
4 calls:
6.0ms
(/ 1 (- 1.0 y))
28.0ms
(* (- x y) (/ 1 (- 1.0 y)))
2.0ms
(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
3.0ms
(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

series204.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ 1 (- 1.0 y))
44.0ms
(* (- x y) (/ 1 (- 1.0 y)))
86.0ms
(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
52.0ms
(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

simplify62.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0521939
12201815
25001760

prune303.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))) (log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y)))))))
2.4b
(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
11.8b
(log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y))))))
13.2b
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))

rewrite497.0ms

Algorithm
rewrite-expression-head
Rules
1120×add-sqr-sqrt
1014×*-un-lft-identity
832×prod-diff
633×unpow-prod-down cube-prod
624×times-frac
500×add-cube-cbrt
313×difference-of-squares
259×distribute-lft-out--
111×sqr-pow
81×cube-mult unpow3
72×log-prod
48×associate-/r/
33×associate--l+
28×flip3-- flip--
24×div-inv
19×pow1
16×fma-neg
15×log-pow
8×log-div
6×add-exp-log add-log-exp
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u
3×difference-cubes associate--r+
2×associate--l- sub-neg flip3-+ diff-log rem-log-exp flip-+ associate--r-
Counts
4 → 1013
Calls
4 calls:
118.0ms
(- (log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))) (log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y)))))))
109.0ms
(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
42.0ms
(log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y))))))
124.0ms
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))

series1.3s

Counts
4 → 12
Calls
4 calls:
363.0ms
(- (log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))) (log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y)))))))
180.0ms
(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
166.0ms
(log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y))))))
546.0ms
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))

simplify313.0ms

Algorithm
egg-herbie
Counts
1025 → 1025
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
0182335298
1500226869

prune803.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

11.8b
(log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y))))))
13.2b
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
13.2b
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
13.2b
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))

rewrite406.0ms

Algorithm
rewrite-expression-head
Rules
146×add-sqr-sqrt
102×log-prod
72×difference-of-squares
54×unpow-prod-down cube-prod
38×*-un-lft-identity
30×sqr-pow
24×times-frac
15×distribute-lft-out--
8×pow1 add-exp-log add-cube-cbrt log-div
4×expm1-log1p-u rem-log-exp log-pow add-cbrt-cube log1p-expm1-u add-log-exp
3×difference-cubes flip3-- flip--
1×flip3-+ flip-+
Counts
4 → 154
Calls
4 calls:
40.0ms
(log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y))))))
119.0ms
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
119.0ms
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
120.0ms
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))

series1.2s

Counts
4 → 12
Calls
4 calls:
161.0ms
(log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y))))))
336.0ms
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
339.0ms
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
329.0ms
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))

simplify73.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04582599
114822455
250022449

prune712.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes171.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 17.7b

bsearch137.0ms

Steps
ItersRangePoint
10
6.983017000620188e-06
12398998.066176346
12232505.825313114
9
-5.085874063241535e+16
-50970157.405274585
-119070188.93960175

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03215
13215

end0.0ms

sample951.0ms

Algorithm
intervals
Results
213.0ms5718×body80valid
147.0ms804×body1280valid
101.0ms749×body640valid
93.0ms3654×body80nan
51.0ms356×body1280nan
46.0ms450×body320valid
42.0ms388×body640nan
17.0ms279×body160valid
15.0ms188×body320nan
5.0ms99×body160nan