Details

Time bar (total: 2.9s)

sample16.0ms

Algorithm
intervals
Results
5.0ms66×body640valid
3.0ms129×body80valid
2.0ms44×body320valid
1.0ms17×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1124
2124

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.8b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
3.1b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
362×*-un-lft-identity
358×times-frac
265×add-sqr-sqrt
253×add-cube-cbrt
234×prod-diff
49×distribute-lft-out
35×div-inv
30×associate-/r/
18×fma-neg
15×flip3-+ flip-+
8×distribute-lft-out--
4×add-exp-log associate-/r* add-cbrt-cube add-log-exp difference-of-squares
3×associate-/l*
2×pow1 expm1-log1p-u log1p-expm1-u
1×cbrt-undiv sub-neg flip3-- frac-2neg diff-log div-exp clear-num frac-sub flip--
Counts
2 → 314
Calls
2 calls:
5.0ms
(/ 1.0 (+ x 1.0))
51.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series86.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ 1.0 (+ x 1.0))
61.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify109.0ms

Algorithm
egg-herbie
Counts
320 → 320
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
08736795
126454746
250013686

prune226.0ms

Pruning

3 alts after pruning (3 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))
2.4b
(- x (+ x 1.0))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
17×add-exp-log add-sqr-sqrt add-cbrt-cube
13×add-cube-cbrt
12×prod-diff
8×add-log-exp
5×pow1 prod-exp cbrt-unprod distribute-lft-out
4×cbrt-undiv div-exp associate-*l* associate-*l/
3×expm1-log1p-u fma-neg associate-*r* log1p-expm1-u
2×flip3-- flip3-+ diff-log associate-*r/ associate-/r/ flip-- flip-+ associate-/l/ 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 → 84
Calls
3 calls:
10.0ms
(* (+ x 1.0) x)
28.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
9.0ms
(- x (+ x 1.0))

series89.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(* (+ x 1.0) x)
35.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
7.0ms
(- x (+ x 1.0))

simplify70.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
0402611
12289439
25001426

prune146.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize7.0ms

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)

rewrite87.0ms

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 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 478
Calls
2 calls:
13.0ms
(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
37.0ms
(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

series67.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
43.0ms
(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

simplify91.0ms

Algorithm
egg-herbie
Counts
484 → 484
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
015965690
150025510

prune910.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ x 1.0) x)
0.2b
(/ (* 1.0 (log (/ 1 (exp 1.0)))) (* (+ x 1.0) x))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
6×add-sqr-sqrt *-un-lft-identity
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv add-cube-cbrt div-exp associate-*l* associate-*l/
3×associate-*r*
2×expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u add-log-exp
1×frac-2neg times-frac distribute-frac-neg log-rec pow-prod-down clear-num associate-/r* *-commutative distribute-rgt-neg-out div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 49
Calls
2 calls:
9.0ms
(* (+ x 1.0) x)
15.0ms
(/ (* 1.0 (log (/ 1 (exp 1.0)))) (* (+ x 1.0) x))

series222.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(* (+ x 1.0) x)
174.0ms
(/ (* 1.0 (log (/ 1 (exp 1.0)))) (* (+ x 1.0) x))

simplify46.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0304422
11796299
25002278

prune103.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes14.0ms

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

sample414.0ms

Algorithm
intervals
Results
148.0ms1929×body640valid
82.0ms4148×body80valid
72.0ms1276×body320valid
24.0ms648×body160valid