Details

Time bar (total: 6.3s)

sample96.0ms

Algorithm
intervals
Results
49.0ms109×body1280valid
17.0ms71×body640valid
10.0ms273×body80nan
5.0ms35×body320valid
3.0ms30×body160valid
0.0ms11×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: 57.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (+ 1.0 x) (- 1.0 x))
7.5b
(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)))

series163.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ (+ 1.0 x) (- 1.0 x))
130.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify122.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 3 (113.0ms)

IterNodesCost
0334673
11078636
24549616
35001613

prune219.0ms

Pruning

8 alts after pruning (8 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)))

rewrite33.0ms

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:
26.0ms
(* 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)))

simplify53.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0532653
12211536
25002535

prune513.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (log (/ (+ 1.0 x) (- 1.0 x))) 3)
0.1b
(/ (+ 1.0 x) (- 1.0 x))
0.1b
(cbrt (pow (log (/ (+ 1.0 x) (- 1.0 x))) 3))
7.5b
(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
71×*-un-lft-identity
49×add-sqr-sqrt
40×times-frac
31×add-cube-cbrt
26×log-prod
14×cbrt-prod
11×distribute-lft-out
10×pow1 add-exp-log
9×distribute-lft-out-- difference-of-squares
8×unpow-prod-down cube-prod
7×add-cbrt-cube
5×associate-/r* log-pow
4×expm1-log1p-u associate-/r/ log1p-expm1-u associate-/l* add-log-exp
3×pow-unpow
2×cube-mult flip3-- unpow3 div-exp rem-log-exp flip-- div-inv associate-/l/ sqr-pow
1×cbrt-undiv pow-to-exp log-div pow-pow frac-2neg flip3-+ pow1/3 pow-exp clear-num rem-cbrt-cube flip-+ rem-cube-cbrt
Counts
4 → 138
Calls
4 calls:
3.0ms
(pow (log (/ (+ 1.0 x) (- 1.0 x))) 3)
8.0ms
(/ (+ 1.0 x) (- 1.0 x))
5.0ms
(cbrt (pow (log (/ (+ 1.0 x) (- 1.0 x))) 3))
7.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series435.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(pow (log (/ (+ 1.0 x) (- 1.0 x))) 3)
32.0ms
(/ (+ 1.0 x) (- 1.0 x))
124.0ms
(cbrt (pow (log (/ (+ 1.0 x) (- 1.0 x))) 3))
124.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify55.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04931108
118911053
250011038

prune301.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(cbrt (log (/ (+ 1.0 x) (- 1.0 x))))
7.5b
(log (/ (+ 1.0 x) (- 1.0 x)))
7.5b
(log (/ (+ 1.0 x) (- 1.0 x)))
7.5b
(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
89×*-un-lft-identity
78×log-prod
60×times-frac
59×add-sqr-sqrt
35×add-cube-cbrt
15×distribute-lft-out
13×add-exp-log
12×distribute-lft-out-- difference-of-squares
8×pow1
6×rem-log-exp associate-/r/
4×cbrt-prod expm1-log1p-u log-pow add-cbrt-cube log1p-expm1-u add-log-exp
3×log-div flip3-- div-exp flip-- div-inv
1×pow1/3
Counts
4 → 131
Calls
4 calls:
1.0ms
(cbrt (log (/ (+ 1.0 x) (- 1.0 x))))
7.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))
7.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))
7.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series666.0ms

Counts
4 → 12
Calls
4 calls:
283.0ms
(cbrt (log (/ (+ 1.0 x) (- 1.0 x))))
128.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))
125.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))
129.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify138.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 3 (125.0ms)

IterNodesCost
03611260
110751189
247111130
350011121

prune372.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

regimes129.0ms

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

sample2.8s

Algorithm
intervals
Results
1.5s3353×body1280valid
625.0ms2516×body640valid
221.0ms7953×body80nan
185.0ms1252×body320valid
59.0ms658×body160valid
9.0ms221×body80valid