Details

Time bar (total: 2.9s)

sample14.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
2.0ms94×body80nan

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
084
184

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize8.0ms

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))))

rewrite28.0ms

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:
3.0ms
(sqrt (+ x 1.0))
7.0ms
(+ 1.0 (sqrt (+ x 1.0)))
16.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

series223.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(sqrt (+ x 1.0))
42.0ms
(+ 1.0 (sqrt (+ x 1.0)))
147.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

simplify35.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0317483
11159435
25001427

prune133.0ms

Pruning

4 alts after pruning (4 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))

rewrite62.0ms

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))
7.0ms
(+ 1.0 (sqrt (+ x 1.0)))
23.0ms
(/ (+ 1.0 (sqrt (+ x 1.0))) x)
22.0ms
(/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))

series313.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(sqrt (+ x 1.0))
42.0ms
(+ 1.0 (sqrt (+ x 1.0)))
87.0ms
(/ (+ 1.0 (sqrt (+ x 1.0))) x)
147.0ms
(/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))

simplify66.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05931413
126271258
250011171

prune225.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (cbrt (pow (sqrt (+ x 1.0)) 3)))
0.2b
(pow (sqrt (+ x 1.0)) 3)
0.2b
(/ x (+ 1.0 (cbrt (pow (sqrt (+ x 1.0)) 3))))
7.8b
(cbrt (pow (sqrt (+ x 1.0)) 3))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
41×*-un-lft-identity
23×add-sqr-sqrt add-cube-cbrt
20×cbrt-prod
16×sqrt-prod
14×unpow-prod-down cube-prod
12×times-frac
9×distribute-lft-out
7×add-exp-log add-cbrt-cube
6×pow1 add-log-exp
4×cube-div flip3-+ sqrt-div associate-/r* flip-+
3×pow-unpow pow-pow associate-/l*
2×cube-mult cbrt-div unpow3 associate-/r/ sqr-pow
1×cbrt-undiv +-commutative pow-to-exp frac-2neg sqrt-pow1 pow1/2 pow1/3 div-exp pow-exp clear-num sum-log sqrt-pow2 rem-cbrt-cube div-inv rem-cube-cbrt
Counts
4 → 112
Calls
4 calls:
19.0ms
(+ 1.0 (cbrt (pow (sqrt (+ x 1.0)) 3)))
5.0ms
(pow (sqrt (+ x 1.0)) 3)
43.0ms
(/ x (+ 1.0 (cbrt (pow (sqrt (+ x 1.0)) 3))))
6.0ms
(cbrt (pow (sqrt (+ x 1.0)) 3))

series302.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(+ 1.0 (cbrt (pow (sqrt (+ x 1.0)) 3)))
69.0ms
(pow (sqrt (+ x 1.0)) 3)
146.0ms
(/ x (+ 1.0 (cbrt (pow (sqrt (+ x 1.0)) 3))))
36.0ms
(cbrt (pow (sqrt (+ x 1.0)) 3))

simplify54.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0462878
11929749
25002731

prune219.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (sqrt (+ x 1.0)))
0.2b
(pow (+ 1.0 (sqrt (+ x 1.0))) 3)
0.2b
(/ x (cbrt (pow (+ 1.0 (sqrt (+ x 1.0))) 3)))
7.8b
(cbrt (pow (+ 1.0 (sqrt (+ x 1.0))) 3))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-prod *-un-lft-identity
51×times-frac
44×add-sqr-sqrt add-cube-cbrt
24×unpow-prod-down cube-prod
17×associate-/r*
13×distribute-lft-out
7×add-exp-log
6×cube-div cube-mult unpow3 add-cbrt-cube add-log-exp sqr-pow
5×pow1
4×cbrt-div flip3-+ flip-+
3×pow-unpow associate-/l*
2×associate-/r/
1×cbrt-undiv +-commutative pow-to-exp pow-pow frac-2neg pow1/3 div-exp pow-exp clear-num sum-log rem-cbrt-cube div-inv rem-cube-cbrt
Counts
4 → 149
Calls
4 calls:
7.0ms
(+ 1.0 (sqrt (+ x 1.0)))
15.0ms
(pow (+ 1.0 (sqrt (+ x 1.0))) 3)
35.0ms
(/ x (cbrt (pow (+ 1.0 (sqrt (+ x 1.0))) 3)))
15.0ms
(cbrt (pow (+ 1.0 (sqrt (+ x 1.0))) 3))

series361.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(+ 1.0 (sqrt (+ x 1.0)))
126.0ms
(pow (+ 1.0 (sqrt (+ x 1.0))) 3)
144.0ms
(/ x (cbrt (pow (+ 1.0 (sqrt (+ x 1.0))) 3)))
49.0ms
(cbrt (pow (+ 1.0 (sqrt (+ x 1.0))) 3))

simplify65.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
04981438
121741302
250031278

prune246.0ms

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

sample328.0ms

Algorithm
intervals
Results
170.0ms7995×body80valid
42.0ms2667×body80nan
1.0ms5×body1280valid