Details

Time bar (total: 3.5s)

sample16.0ms

Algorithm
intervals
Results
5.0ms65×body640valid
3.0ms49×body320valid
2.0ms123×body80valid
1.0ms19×body160valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
094
1124
2124

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
3.7b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite53.0ms

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))
23.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series90.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ 1.0 (+ x 1.0))
64.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify110.0ms

Algorithm
egg-herbie
Counts
320 → 320
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
08736795
126454746
250013686

prune233.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize7.0ms

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))
2.7b
(- x (+ x 1.0))

rewrite32.0ms

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:
6.0ms
(* (+ x 1.0) x)
17.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
6.0ms
(- x (+ x 1.0))

series92.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(* (+ x 1.0) x)
37.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
8.0ms
(- x (+ x 1.0))

simplify67.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0402611
12289439
25001426

prune149.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

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)

rewrite79.0ms

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:
11.0ms
(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
25.0ms
(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

series68.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
43.0ms
(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

simplify89.0ms

Algorithm
egg-herbie
Counts
484 → 484
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
015965724
150015527

prune932.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (+ x 1.0))
0.1b
(* (/ 1 (+ x 1.0)) (/ (/ 1.0 (/ 1 (- 0 1.0))) x))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
589×times-frac
348×add-sqr-sqrt
311×*-un-lft-identity
235×add-cube-cbrt
208×associate-*r*
100×add-exp-log
58×div-exp
36×add-cbrt-cube
27×distribute-lft-out-- difference-of-squares
25×associate-/r/
24×prod-exp
18×associate-*l*
17×cbrt-undiv
15×div-inv unswap-sqr
11×rec-exp 1-exp
9×flip3-- flip--
8×cbrt-unprod
7×distribute-lft-out
5×pow1
4×associate-/r*
3×associate-/l*
2×expm1-log1p-u flip3-+ flip-+ log1p-expm1-u add-log-exp
1×frac-times pow-flip frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative inv-pow
Counts
2 → 326
Calls
2 calls:
5.0ms
(/ 1 (+ x 1.0))
93.0ms
(* (/ 1 (+ x 1.0)) (/ (/ 1.0 (/ 1 (- 0 1.0))) x))

series64.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ 1 (+ x 1.0))
40.0ms
(* (/ 1 (+ x 1.0)) (/ (/ 1.0 (/ 1 (- 0 1.0))) x))

simplify80.0ms

Algorithm
egg-herbie
Counts
332 → 332
Iterations

Useful iterations: 1 (43.0ms)

IterNodesCost
022203261
150012990

prune697.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes17.0ms

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

sample413.0ms

Algorithm
intervals
Results
147.0ms1930×body640valid
81.0ms4178×body80valid
73.0ms1290×body320valid
22.0ms602×body160valid