Details

Time bar (total: 1.7s)

sample10.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
193
293

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/r* distribute-lft-out-- difference-of-squares
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 47
Calls
1 calls:
11.0ms
(/ (+ x 1.0) (- 1.0 x))

series35.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(/ (+ x 1.0) (- 1.0 x))

simplify84.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 3 (79.0ms)

IterNodesCost
0214315
1711297
22979293
35001292

prune74.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- 1.0 x))
0.1b
(* (/ 1 (- 1.0 x)) (+ 1.0 x))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
39×*-un-lft-identity
32×times-frac
22×add-cube-cbrt
21×associate-*l*
15×add-exp-log
9×add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/r*
4×div-exp associate-*r* prod-exp associate-/r/
3×associate-/l* unswap-sqr
2×cbrt-undiv expm1-log1p-u frac-times rec-exp flip3-- flip3-+ 1-exp associate-*r/ flip-- cbrt-unprod flip-+ log1p-expm1-u div-inv add-log-exp
1×distribute-rgt-in pow-flip frac-2neg distribute-lft-in pow-prod-down associate-*l/ clear-num *-commutative distribute-lft-out inv-pow
Counts
2 → 95
Calls
2 calls:
6.0ms
(/ 1 (- 1.0 x))
26.0ms
(* (/ 1 (- 1.0 x)) (+ 1.0 x))

series58.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ 1 (- 1.0 x))
32.0ms
(* (/ 1 (- 1.0 x)) (+ 1.0 x))

simplify50.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0477540
12319467
25001430

prune140.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x 1.0))
0.0b
(sqrt (+ x 1.0))
0.0b
(/ (sqrt (+ x 1.0)) (/ (- 1.0 x) (sqrt (+ x 1.0))))
0.1b
(/ (- 1.0 x) (sqrt (+ x 1.0)))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
602×times-frac
562×*-un-lft-identity
388×add-sqr-sqrt
360×sqrt-prod
254×add-cube-cbrt
90×distribute-lft-out
64×distribute-lft-out-- difference-of-squares
48×associate-/r*
24×sqrt-div
19×associate-/r/
12×flip3-+ flip-+ associate-/l*
11×add-exp-log add-cbrt-cube
10×div-inv
6×pow1
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u associate-/l/ add-log-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num hypot-def
1×flip3-- div-sub flip--
Counts
4 → 458
Calls
4 calls:
4.0ms
(sqrt (+ x 1.0))
7.0ms
(sqrt (+ x 1.0))
26.0ms
(/ (sqrt (+ x 1.0)) (/ (- 1.0 x) (sqrt (+ x 1.0))))
13.0ms
(/ (- 1.0 x) (sqrt (+ x 1.0)))

series188.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(sqrt (+ x 1.0))
30.0ms
(sqrt (+ x 1.0))
34.0ms
(/ (sqrt (+ x 1.0)) (/ (- 1.0 x) (sqrt (+ x 1.0))))
94.0ms
(/ (- 1.0 x) (sqrt (+ x 1.0)))

simplify136.0ms

Algorithm
egg-herbie
Counts
470 → 470
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
09496318
147045594
250025592

prune526.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063
163

end0.0ms

sample223.0ms

Algorithm
intervals
Results
137.0ms8000×body80valid