Details

Time bar (total: 6.6s)

sample101.0ms

Algorithm
intervals
Results
53.0ms112×body1280valid
21.0ms78×body640valid
7.0ms45×body320valid
7.0ms245×body80nan
1.0ms14×body160valid
0.0ms7×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0186
1256
2406
3656
4986
51226
61356
71376
81376

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
5.1b
(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite25.0ms

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:
11.0ms
(/ (+ 1.0 x) (- 1.0 x))
6.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series159.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ (+ 1.0 x) (- 1.0 x))
125.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify127.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 3 (115.0ms)

IterNodesCost
0334673
11078636
24549616
35001613

prune196.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite34.0ms

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:
27.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series53.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(* 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

prune280.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (log (sqrt (+ 1.0 x))) (log (/ (sqrt (+ 1.0 x)) (- 1.0 x))))
0.0b
(/ (sqrt (+ 1.0 x)) (- 1.0 x))
4.9b
(log (sqrt (+ 1.0 x)))
5.1b
(log (/ (sqrt (+ 1.0 x)) (- 1.0 x)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
149×*-un-lft-identity
109×add-sqr-sqrt
105×times-frac
96×log-prod
72×sqrt-prod
65×add-cube-cbrt
41×associate-+r+
22×distribute-lft-out distribute-lft-out-- difference-of-squares
13×pow1
11×log-pow
10×add-exp-log
7×associate-+l+ associate-/l*
6×log-div fma-def sqrt-div associate-/r/ add-cbrt-cube
5×associate-/r*
4×expm1-log1p-u flip3-+ flip-+ log1p-expm1-u add-log-exp
3×flip3-- rem-log-exp flip-- div-inv
2×associate-+l- sqrt-pow1 pow1/2 div-exp associate-/l/
1×cbrt-undiv +-commutative associate-+r- frac-2neg clear-num sum-log
Counts
4 → 215
Calls
4 calls:
21.0ms
(+ (log (sqrt (+ 1.0 x))) (log (/ (sqrt (+ 1.0 x)) (- 1.0 x))))
11.0ms
(/ (sqrt (+ 1.0 x)) (- 1.0 x))
3.0ms
(log (sqrt (+ 1.0 x)))
7.0ms
(log (/ (sqrt (+ 1.0 x)) (- 1.0 x)))

series727.0ms

Counts
4 → 12
Calls
4 calls:
326.0ms
(+ (log (sqrt (+ 1.0 x))) (log (/ (sqrt (+ 1.0 x)) (- 1.0 x))))
96.0ms
(/ (sqrt (+ 1.0 x)) (- 1.0 x))
84.0ms
(log (sqrt (+ 1.0 x)))
221.0ms
(log (/ (sqrt (+ 1.0 x)) (- 1.0 x)))

simplify79.0ms

Algorithm
egg-herbie
Counts
227 → 227
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
07432210
124302080
250031989

prune462.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (sqrt (+ 1.0 x)) (- 1.0 x))
1.4b
(log (sqrt (- (* 1.0 1.0) (* x x))))
4.9b
(log (sqrt (- 1.0 x)))
5.1b
(log (/ (sqrt (+ 1.0 x)) (- 1.0 x)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
100×*-un-lft-identity
78×add-sqr-sqrt
70×times-frac
56×log-prod
53×sqrt-prod
46×add-cube-cbrt
17×difference-of-squares
16×distribute-lft-out--
11×add-exp-log distribute-lft-out
9×pow1
7×log-pow associate-/l*
6×sqrt-div add-cbrt-cube
5×log-div associate-/r*
4×expm1-log1p-u flip3-- rem-log-exp associate-/r/ flip-- log1p-expm1-u add-log-exp
2×sqrt-pow1 pow1/2 div-exp div-inv associate-/l/
1×cbrt-undiv frac-2neg flip3-+ clear-num flip-+
Counts
4 → 164
Calls
4 calls:
12.0ms
(/ (sqrt (+ 1.0 x)) (- 1.0 x))
4.0ms
(log (sqrt (- (* 1.0 1.0) (* x x))))
3.0ms
(log (sqrt (- 1.0 x)))
7.0ms
(log (/ (sqrt (+ 1.0 x)) (- 1.0 x)))

series599.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(/ (sqrt (+ 1.0 x)) (- 1.0 x))
194.0ms
(log (sqrt (- (* 1.0 1.0) (* x x))))
85.0ms
(log (sqrt (- 1.0 x)))
219.0ms
(log (/ (sqrt (+ 1.0 x)) (- 1.0 x)))

simplify66.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
07221664
124521575
250011536

prune518.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

regimes43.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01610
11610

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.5s3322×body1280valid
655.0ms2537×body640valid
234.0ms7995×body80nan
204.0ms1292×body320valid
60.0ms641×body160valid
9.0ms208×body80valid