Details

Time bar (total: 6.8s)

sample99.0ms

Algorithm
intervals
Results
52.0ms116×body1280valid
20.0ms77×body640valid
8.0ms275×body80nan
6.0ms38×body320valid
2.0ms20×body160valid
0.0ms5×body80valid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0186
1256
2406
3656
4986
51226
61356
71376
81376

prune2.0ms

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×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)))

series158.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ (+ 1.0 x) (- 1.0 x))
127.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify118.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 3 (110.0ms)

IterNodesCost
0334673
11078636
24549616
35001613

prune198.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite29.0ms

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 expm1-log1p-u associate-*r/ pow-prod-down *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 112
Calls
1 calls:
22.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify52.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0532653
12211536
25002535

prune292.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize17.0ms

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))))

rewrite41.0ms

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×expm1-log1p-u flip3-- flip-- log1p-expm1-u 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 → 220
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))))
9.0ms
(log (/ (+ 1.0 x) (sqrt (- 1.0 x))))

series465.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(/ 1 (sqrt (- 1.0 x)))
91.0ms
(/ (+ 1.0 x) (sqrt (- 1.0 x)))
113.0ms
(log (/ 1 (sqrt (- 1.0 x))))
202.0ms
(log (/ (+ 1.0 x) (sqrt (- 1.0 x))))

simplify64.0ms

Algorithm
egg-herbie
Counts
232 → 232
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
07122022
125611827
250011741

prune612.0ms

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))))

rewrite59.0ms

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×expm1-log1p-u log-div div-exp log1p-expm1-u 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 → 244
Calls
4 calls:
9.0ms
(/ (+ 1.0 x) (sqrt (- 1.0 x)))
21.0ms
(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))))

series599.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(/ (+ 1.0 x) (sqrt (- 1.0 x)))
195.0ms
(log (/ 1 (sqrt (- (pow 1.0 3) (pow x 3)))))
115.0ms
(log (sqrt (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
198.0ms
(log (/ (+ 1.0 x) (sqrt (- 1.0 x))))

simplify104.0ms

Algorithm
egg-herbie
Counts
256 → 256
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
011703003
141502642
250012636

prune755.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

regimes31.0ms

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
01610
11610

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.6s3472×body1280valid
642.0ms2496×body640valid
236.0ms8017×body80nan
184.0ms1213×body320valid
57.0ms615×body160valid
9.0ms204×body80valid