Details

Time bar (total: 2.8s)

sample15.0ms

Algorithm
intervals
Results
4.0ms57×body640valid
2.0ms130×body80valid
2.0ms37×body320valid
1.0ms32×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1124
2124

prune1.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.6b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
5.2b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity
28×times-frac
27×add-sqr-sqrt
15×add-cube-cbrt
8×distribute-lft-out--
7×distribute-lft-out
4×add-exp-log associate-/r* add-cbrt-cube add-log-exp difference-of-squares
3×div-inv associate-/l*
2×pow1 associate-/r/
1×cbrt-undiv sub-neg flip3-- frac-2neg flip3-+ diff-log div-exp clear-num frac-sub flip-- flip-+
Counts
2 → 58
Calls
2 calls:
6.0ms
(/ 1.0 (+ x 1.0))
37.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series85.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ 1.0 (+ x 1.0))
59.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify160.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0266392
1898369
24185367
35001367

prune123.0ms

Filtered
64 candidates to 47 candidates (73.4%)
Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x 1.0) x)
0.0b
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
4.1b
(- x (+ x 1.0))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log add-cbrt-cube
12×*-un-lft-identity
9×add-sqr-sqrt
8×add-log-exp
5×pow1 add-cube-cbrt prod-exp cbrt-unprod
4×cbrt-undiv div-exp associate-*l* associate-*l/
3×associate-*r*
2×flip3-- flip3-+ diff-log associate-*r/ associate-/r/ flip-- flip-+ associate-/l/ distribute-lft-out distribute-lft-out--
1×sub-neg frac-2neg times-frac pow-prod-down clear-num associate-/r* sum-log *-commutative div-inv associate-/l* associate--r+ difference-of-squares unswap-sqr
Counts
3 → 63
Calls
3 calls:
10.0ms
(* (+ x 1.0) x)
15.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
7.0ms
(- x (+ x 1.0))

series89.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(* (+ x 1.0) x)
39.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
8.0ms
(- x (+ x 1.0))

simplify58.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0345395
12045325
25003316

prune116.0ms

Filtered
72 candidates to 48 candidates (66.7%)
Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
0.1b
(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
959×times-frac
669×*-un-lft-identity
509×add-sqr-sqrt
381×add-cube-cbrt
86×associate-/l*
80×distribute-lft-out
64×distribute-lft-out-- difference-of-squares
37×associate-/r/
29×associate-/r*
22×div-inv
16×add-exp-log flip3-- add-cbrt-cube flip--
9×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 474
Calls
2 calls:
16.0ms
(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
35.0ms
(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

series67.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
42.0ms
(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

simplify88.0ms

Algorithm
egg-herbie
Counts
480 → 480
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
015825707
150015506

prune875.0ms

Filtered
480 candidates to 317 candidates (66.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ x 1.0) x)
0.3b
(/ 1 (/ (/ (* (+ x 1.0) x) 1.0) (- 0 1.0)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
323×times-frac
176×add-sqr-sqrt *-un-lft-identity
118×add-cube-cbrt
41×associate-/r*
38×add-exp-log
28×distribute-lft-out-- difference-of-squares
25×div-inv
23×div-exp
18×add-cbrt-cube
9×cbrt-undiv associate-/r/
5×pow1
4×rec-exp flip3-- 1-exp associate-*l* prod-exp flip--
3×associate-*r* associate-/l*
2×associate-*l/ cbrt-unprod add-log-exp
1×pow-flip frac-2neg flip3-+ pow-prod-down clear-num *-commutative flip-+ distribute-lft-out inv-pow unswap-sqr
Counts
2 → 217
Calls
2 calls:
10.0ms
(* (+ x 1.0) x)
23.0ms
(/ 1 (/ (/ (* (+ x 1.0) x) 1.0) (- 0 1.0)))

series83.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(* (+ x 1.0) x)
36.0ms
(/ 1 (/ (/ (* (+ x 1.0) x) 1.0) (- 0 1.0)))

simplify50.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
09872485
150022152

prune332.0ms

Filtered
223 candidates to 127 candidates (57.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes13.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105
1105

end0.0ms

sample403.0ms

Algorithm
intervals
Results
139.0ms1938×body640valid
87.0ms4204×body80valid
64.0ms1217×body320valid
26.0ms642×body160valid