Details

Time bar (total: 9.8s)

sample168.0ms

Algorithm
intervals
Results
96.0ms101×body1280valid
44.0ms97×body640valid
8.0ms33×body320valid
6.0ms256×pre80true
3.0ms16×body160valid
1.0ms9×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1115
2115

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.4b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
4.7b
(log (- 1.0 x))
4.7b
(log (+ 1.0 x))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
17×add-sqr-sqrt
16×times-frac
15×pow1 add-cube-cbrt
12×log-pow
9×log-prod
7×add-exp-log
6×log-div
5×add-cbrt-cube
4×associate-/r* associate-/l*
3×add-log-exp
2×flip3-- div-sub rem-log-exp flip--
1×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
3 → 69
Calls
3 calls:
8.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
2.0ms
(log (- 1.0 x))
2.0ms
(log (+ 1.0 x))

series211.0ms

Counts
3 → 9
Calls
3 calls:
126.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
40.0ms
(log (- 1.0 x))
45.0ms
(log (+ 1.0 x))

simplify43.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0425668
11561624
25001599

prune194.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 58.9b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
0.0b
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
0.0b
(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
4.7b
(log (- 1.0 x))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
92×times-frac
84×add-sqr-sqrt
68×associate-*r*
56×unpow-prod-down
50×*-un-lft-identity
48×add-cube-cbrt
30×add-exp-log
24×unpow2 sqr-pow
17×unswap-sqr
11×pow1 add-cbrt-cube
10×div-exp prod-exp
8×add-log-exp
6×pow-to-exp pow-exp
5×log-prod associate-*r/ log-pow
4×log-div flip3-- associate-/r/ frac-sub flip-- associate-/l*
3×associate-*l* associate-/r*
2×cbrt-undiv flip3-+ diff-log div-sub cbrt-unprod flip-+ div-inv
1×sub-neg frac-2neg rem-log-exp pow-prod-down associate--l+ clear-num sum-log *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 179
Calls
4 calls:
24.0ms
(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
27.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
26.0ms
(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
3.0ms
(log (- 1.0 x))

series273.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
55.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
137.0ms
(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
42.0ms
(log (- 1.0 x))

simplify106.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
010361802
143931623
250011620

prune520.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
0.0b
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
0.0b
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
0.0b
(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
178×times-frac
159×add-sqr-sqrt
136×associate-*r*
112×unpow-prod-down
95×*-un-lft-identity
83×add-cube-cbrt
52×add-exp-log
48×unpow2 sqr-pow
34×unswap-sqr
20×prod-exp
19×div-exp
16×add-cbrt-cube
12×pow1 pow-to-exp pow-exp
8×distribute-lft-out--
6×associate-*l* associate-/l* add-log-exp
4×associate-*r/ associate-/r/ log-pow cbrt-unprod difference-of-squares
3×cbrt-undiv associate-/r* div-inv
2×flip3-- flip3-+ pow-prod-down *-commutative frac-sub flip-- flip-+ associate-/l/
1×+-commutative frac-2neg div-sub clear-num sum-log
Counts
4 → 277
Calls
4 calls:
3.0ms
(+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
30.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
27.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
43.0ms
(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

series321.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
53.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
53.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
120.0ms
(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

simplify103.0ms

Algorithm
egg-herbie
Counts
289 → 289
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
08962800
143172368
250012368

prune969.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
0.7b
(cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
0.7b
(cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
0.7b
(cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
52×cbrt-div
30×associate-*r/
26×frac-sub
25×cbrt-prod
23×add-sqr-sqrt
16×frac-times
15×add-cube-cbrt *-un-lft-identity
13×flip3-- flip3-+ flip-- flip-+
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×associate-*l/ add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 109
Calls
4 calls:
90.0ms
(* (cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
10.0ms
(cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
11.0ms
(cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
10.0ms
(cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

series888.0ms

Counts
4 → 12
Calls
4 calls:
243.0ms
(* (cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
215.0ms
(cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
215.0ms
(cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
213.0ms
(cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

simplify81.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
06013504
122693369
250013255

prune501.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

regimes29.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01917
11917

end0.0ms

sample5.0s

Algorithm
intervals
Results
3.1s3376×body1280valid
1.1s2515×body640valid
309.0ms1221×body320valid
162.0ms8000×pre80true
104.0ms646×body160valid
23.0ms242×body80valid