Details

Time bar (total: 6.3s)

sample99.0ms

Algorithm
intervals
Results
51.0ms116×body1280valid
19.0ms77×body640valid
7.0ms275×body80nan
5.0ms38×body320valid
2.0ms20×body160valid
0.0ms5×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0186
1256
2406
3616
4886
51046
61136
71136

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
5.8b
(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×flip3-- div-exp rem-log-exp flip-- div-inv associate-/l/ add-log-exp
1×cbrt-undiv log-div frac-2neg flip3-+ clear-num log-pow flip-+
Counts
2 → 82
Calls
2 calls:
8.0ms
(/ (+ 1.0 x) (- 1.0 x))
7.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series156.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ (+ 1.0 x) (- 1.0 x))
125.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify117.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0318660
11025624
24261602
35001602

prune191.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite26.0ms

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 associate-*r/ pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 110
Calls
1 calls:
19.0ms
(* 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)))

simplify51.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0528643
12205526
25001525

prune274.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (sqrt (- 1.0 x)))
0.0b
(/ (+ 1.0 x) (sqrt (- 1.0 x)))
5.7b
(log (/ 1 (sqrt (- 1.0 x))))
5.8b
(log (/ (+ 1.0 x) (sqrt (- 1.0 x))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
138×*-un-lft-identity
112×times-frac
104×add-sqr-sqrt
80×sqrt-prod
72×add-cube-cbrt
68×log-prod
18×add-exp-log
17×distribute-lft-out
16×associate-/r* distribute-lft-out-- difference-of-squares
10×pow1
8×sqrt-div associate-/r/ add-cbrt-cube
7×associate-/l*
6×pow-flip div-exp rem-log-exp log-pow
4×flip3-- flip-- div-inv add-log-exp
2×cbrt-undiv log-div rec-exp frac-2neg sqrt-pow1 pow1/2 1-exp clear-num associate-/l/ inv-pow
1×flip3-+ log-rec flip-+
Counts
4 → 212
Calls
4 calls:
7.0ms
(/ 1 (sqrt (- 1.0 x)))
9.0ms
(/ (+ 1.0 x) (sqrt (- 1.0 x)))
7.0ms
(log (/ 1 (sqrt (- 1.0 x))))
8.0ms
(log (/ (+ 1.0 x) (sqrt (- 1.0 x))))

series453.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(/ 1 (sqrt (- 1.0 x)))
89.0ms
(/ (+ 1.0 x) (sqrt (- 1.0 x)))
111.0ms
(log (/ 1 (sqrt (- 1.0 x))))
196.0ms
(log (/ (+ 1.0 x) (sqrt (- 1.0 x))))

simplify61.0ms

Algorithm
egg-herbie
Counts
224 → 224
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
06821992
124561793
250011714

prune393.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ 1.0 x) (sqrt (- 1.0 x)))
1.3b
(log (/ 1 (sqrt (- (pow 1.0 3) (pow x 3)))))
5.7b
(log (sqrt (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
5.8b
(log (/ (+ 1.0 x) (sqrt (- 1.0 x))))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
167×add-sqr-sqrt
159×*-un-lft-identity
148×times-frac
134×log-prod
123×sqrt-prod
77×add-cube-cbrt
57×difference-of-squares
36×unpow-prod-down cube-prod
24×distribute-lft-out-- sqr-pow
17×distribute-lft-out
15×add-exp-log
10×pow1
9×log-pow
8×sqrt-div associate-/r*
7×rem-log-exp
6×associate-/r/ add-cbrt-cube
4×log-div div-exp associate-/l* add-log-exp
3×difference-cubes flip3-- pow-flip flip-- div-inv
2×sqrt-pow1 flip3-+ pow1/2 flip-+ associate-/l/
1×cbrt-undiv rec-exp frac-2neg 1-exp log-rec clear-num inv-pow
Counts
4 → 236
Calls
4 calls:
12.0ms
(/ (+ 1.0 x) (sqrt (- 1.0 x)))
19.0ms
(log (/ 1 (sqrt (- (pow 1.0 3) (pow x 3)))))
6.0ms
(log (sqrt (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
8.0ms
(log (/ (+ 1.0 x) (sqrt (- 1.0 x))))

series584.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(/ (+ 1.0 x) (sqrt (- 1.0 x)))
192.0ms
(log (/ 1 (sqrt (- (pow 1.0 3) (pow x 3)))))
110.0ms
(log (sqrt (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
193.0ms
(log (/ (+ 1.0 x) (sqrt (- 1.0 x))))

simplify90.0ms

Algorithm
egg-herbie
Counts
248 → 248
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
011322962
139212597
250022580

prune702.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

regimes30.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02012
12012

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.5s3472×body1280valid
605.0ms2496×body640valid
221.0ms8017×body80nan
173.0ms1213×body320valid
55.0ms615×body160valid
8.0ms204×body80valid