Details

Time bar (total: 3.4s)

sample13.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
1.0ms81×body80nan

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
084
184

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (+ x 1.0))
0.0b
(+ 1.0 (sqrt (+ x 1.0)))
0.2b
(/ x (+ 1.0 (sqrt (+ x 1.0))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
14×add-sqr-sqrt
13×add-cube-cbrt
12×times-frac
6×distribute-lft-out
5×add-exp-log add-cbrt-cube add-log-exp
4×pow1 associate-/r* sqrt-prod
3×flip3-+ flip-+ associate-/l*
2×sqrt-div associate-/r/
1×cbrt-undiv +-commutative rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-exp clear-num sum-log div-inv
Counts
3 → 61
Calls
3 calls:
4.0ms
(sqrt (+ x 1.0))
8.0ms
(+ 1.0 (sqrt (+ x 1.0)))
16.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

series211.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(sqrt (+ x 1.0))
44.0ms
(+ 1.0 (sqrt (+ x 1.0)))
137.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

simplify36.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0317483
11159435
25001427

prune136.0ms

Filtered
70 candidates to 52 candidates (74.3%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x 1.0))
0.0b
(+ 1.0 (sqrt (+ x 1.0)))
0.1b
(/ (+ 1.0 (sqrt (+ x 1.0))) x)
0.2b
(/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
99×*-un-lft-identity
64×add-sqr-sqrt
63×add-cube-cbrt
19×associate-/r*
18×distribute-lft-out
17×add-exp-log
11×add-cbrt-cube
8×div-exp
7×associate-/l*
6×pow1 div-inv add-log-exp
4×cbrt-undiv sqrt-prod
3×flip3-+ flip-+
2×rec-exp frac-2neg sqrt-div 1-exp clear-num associate-/l/
1×+-commutative rem-sqrt-square pow-flip sqrt-pow1 pow1/2 sum-log associate-/r/ inv-pow
Counts
4 → 149
Calls
4 calls:
4.0ms
(sqrt (+ x 1.0))
10.0ms
(+ 1.0 (sqrt (+ x 1.0)))
24.0ms
(/ (+ 1.0 (sqrt (+ x 1.0))) x)
21.0ms
(/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))

series296.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(sqrt (+ x 1.0))
41.0ms
(+ 1.0 (sqrt (+ x 1.0)))
87.0ms
(/ (+ 1.0 (sqrt (+ x 1.0))) x)
138.0ms
(/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))

simplify71.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05931413
126271258
250011171

prune213.0ms

Filtered
161 candidates to 88 candidates (54.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x 1.0))
0.0b
(+ 1.0 (sqrt (+ x 1.0)))
0.1b
(/ 1 (+ 1.0 (sqrt (+ x 1.0))))
0.3b
(/ (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 x))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
585×times-frac
355×*-un-lft-identity
260×add-sqr-sqrt
259×add-cube-cbrt
48×add-exp-log distribute-lft-out
35×div-inv
34×div-exp
31×associate-/r/
21×associate-/l*
18×add-cbrt-cube
17×flip3-+ associate-/r* flip-+
9×cbrt-undiv rec-exp 1-exp
6×pow1 add-log-exp
4×sqrt-prod
2×frac-2neg sqrt-div clear-num
1×+-commutative rem-sqrt-square pow-flip sqrt-pow1 pow1/2 sum-log associate-/l/ inv-pow
Counts
4 → 362
Calls
4 calls:
4.0ms
(sqrt (+ x 1.0))
8.0ms
(+ 1.0 (sqrt (+ x 1.0)))
19.0ms
(/ 1 (+ 1.0 (sqrt (+ x 1.0))))
35.0ms
(/ (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 x))

series325.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(sqrt (+ x 1.0))
47.0ms
(+ 1.0 (sqrt (+ x 1.0)))
103.0ms
(/ 1 (+ 1.0 (sqrt (+ x 1.0))))
146.0ms
(/ (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 x))

simplify80.0ms

Algorithm
egg-herbie
Counts
374 → 374
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
015784823
150014258

prune467.0ms

Filtered
374 candidates to 163 candidates (43.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))
0.3b
(pow (sqrt (+ x 1.0)) 3)
5.1b
(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))
7.0b
(/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
89×*-un-lft-identity
62×sqrt-div
43×add-sqr-sqrt
34×sqrt-prod
32×flip3-+ flip-+
31×add-cube-cbrt
28×associate-*r/ distribute-lft-out
27×times-frac
23×unpow-prod-down cube-prod
21×pow1
16×frac-sub
12×frac-times
11×swap-sqr
9×add-exp-log sqrt-pow1 pow1/2 associate-/r* add-cbrt-cube
8×associate-*l/
7×associate-*r* associate-*l*
6×add-log-exp
5×pow-prod-up
4×sum-cubes sub-div unswap-sqr
3×pow-unpow pow-pow pow-prod-down pow-sqr associate-/l*
2×cube-div associate-/r/
1×cbrt-undiv pow2 cube-mult pow-to-exp sub-neg flip3-- distribute-rgt-out-- frac-2neg pow-plus sqrt-unprod diff-log unpow3 div-exp pow-exp prod-exp clear-num rem-square-sqrt *-commutative sqrt-pow2 flip-- cbrt-unprod div-inv rem-cube-cbrt sqr-pow
Counts
4 → 184
Calls
4 calls:
21.0ms
(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))
6.0ms
(pow (sqrt (+ x 1.0)) 3)
13.0ms
(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))
57.0ms
(/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))

series347.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))
71.0ms
(pow (sqrt (+ x 1.0)) 3)
62.0ms
(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))
198.0ms
(/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))

simplify136.0ms

Algorithm
egg-herbie
Counts
196 → 196
Iterations

Useful iterations: 2 (112.0ms)

IterNodesCost
07711703
138731474
250021459

prune399.0ms

Filtered
196 candidates to 98 candidates (50.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes15.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

sample308.0ms

Algorithm
intervals
Results
159.0ms7997×body80valid
40.0ms2693×body80nan
0.0ms3×body1280valid