Details

Time bar (total: 6.4s)

sample99.0ms

Algorithm
intervals
Results
50.0ms105×body1280valid
22.0ms89×body640valid
7.0ms245×body80nan
6.0ms37×body320valid
2.0ms19×body160valid
0.0ms6×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: 58.9b

localize11.0ms

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)))

series168.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ (+ 1.0 x) (- 1.0 x))
130.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify127.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 3 (118.0ms)

IterNodesCost
0334673
11078636
24549616
35001613

prune212.0ms

Pruning

2 alts after pruning (2 fresh and 0 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)))

rewrite27.0ms

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:
20.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify54.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0532717
12653534
25002533

prune309.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 2.0 (/ (pow x 2) (pow 1.0 2)))
3.1b
(log (exp (* 2.0 (/ (pow x 2) (pow 1.0 2)))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
71×add-sqr-sqrt
68×associate-*r*
56×unpow-prod-down
37×add-cube-cbrt *-un-lft-identity
25×add-exp-log
24×unpow2 sqr-pow
17×unswap-sqr
10×prod-exp
9×div-exp
7×add-cbrt-cube
6×pow-to-exp pow-exp
5×pow1
3×log-prod associate-*l* log-pow add-log-exp
2×expm1-log1p-u cbrt-unprod log1p-expm1-u
1×cbrt-undiv exp-prod exp-to-pow associate-*r/ rem-log-exp pow-prod-down *-commutative div-inv
Counts
2 → 128
Calls
2 calls:
20.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))
2.0ms
(log (exp (* 2.0 (/ (pow x 2) (pow 1.0 2)))))

series113.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))
57.0ms
(log (exp (* 2.0 (/ (pow x 2) (pow 1.0 2)))))

simplify54.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0552763
12239630
25001629

prune410.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (/ (+ 1.0 x) (- 1.0 x)))
0.0b
(cbrt (/ (+ 1.0 x) (- 1.0 x)))
5.9b
(log (cbrt (/ (+ 1.0 x) (- 1.0 x))))
5.9b
(log (cbrt (/ (+ 1.0 x) (- 1.0 x))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
118×*-un-lft-identity
104×cbrt-prod
80×times-frac
78×add-sqr-sqrt
58×log-prod
46×add-cube-cbrt
20×distribute-lft-out
16×distribute-lft-out-- difference-of-squares
8×associate-/r/
6×pow1 add-exp-log
4×expm1-log1p-u cbrt-div flip3-- pow1/3 log-pow add-cbrt-cube flip-- log1p-expm1-u div-inv add-log-exp
2×log-div rem-log-exp
Counts
4 → 158
Calls
4 calls:
7.0ms
(cbrt (/ (+ 1.0 x) (- 1.0 x)))
7.0ms
(cbrt (/ (+ 1.0 x) (- 1.0 x)))
11.0ms
(log (cbrt (/ (+ 1.0 x) (- 1.0 x))))
8.0ms
(log (cbrt (/ (+ 1.0 x) (- 1.0 x))))

series967.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(cbrt (/ (+ 1.0 x) (- 1.0 x)))
143.0ms
(cbrt (/ (+ 1.0 x) (- 1.0 x)))
338.0ms
(log (cbrt (/ (+ 1.0 x) (- 1.0 x))))
336.0ms
(log (cbrt (/ (+ 1.0 x) (- 1.0 x))))

simplify118.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 3 (101.0ms)

IterNodesCost
03171688
18661626
236581598
350011594

prune474.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.2b

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

sample3.0s

Algorithm
intervals
Results
1.6s3487×body1280valid
631.0ms2455×body640valid
256.0ms8243×body80nan
190.0ms1244×body320valid
57.0ms608×body160valid
9.0ms206×body80valid