Details

Time bar (total: 1.4s)

sample14.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
1.0ms96×body80nan

simplify3.0ms

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

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))))

rewrite17.0ms

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))
5.0ms
(+ 1.0 (sqrt (+ x 1.0)))
7.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

series215.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(sqrt (+ x 1.0))
44.0ms
(+ 1.0 (sqrt (+ x 1.0)))
141.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

simplify36.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0317483
11159435
25001427

prune124.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x 1.0))
0.0b
(* (/ x (- (- (* 1.0 1.0) x) 1.0)) (- 1.0 (sqrt (+ x 1.0))))
2.4b
(- 1.0 (sqrt (+ x 1.0)))
2.9b
(- (- (* 1.0 1.0) x) 1.0)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
29×*-un-lft-identity
21×associate-*l*
16×times-frac
15×add-cube-cbrt
11×add-log-exp
9×add-exp-log add-cbrt-cube
8×difference-of-squares
7×pow1
6×associate-*r* sqrt-prod distribute-lft-out--
5×sub-neg flip3-- flip--
4×diff-log
2×distribute-rgt-in frac-times distribute-lft-in sqrt-div associate-*r/ prod-exp associate--l+ associate-/r/ cbrt-unprod unswap-sqr
1×cbrt-undiv associate--l- rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 div-exp pow-prod-down associate-*l/ *-commutative flip-+ div-inv distribute-lft-out
Counts
4 → 100
Calls
4 calls:
3.0ms
(sqrt (+ x 1.0))
18.0ms
(* (/ x (- (- (* 1.0 1.0) x) 1.0)) (- 1.0 (sqrt (+ x 1.0))))
6.0ms
(- 1.0 (sqrt (+ x 1.0)))
7.0ms
(- (- (* 1.0 1.0) x) 1.0)

series165.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(sqrt (+ x 1.0))
71.0ms
(* (/ x (- (- (* 1.0 1.0) x) 1.0)) (- 1.0 (sqrt (+ x 1.0))))
52.0ms
(- 1.0 (sqrt (+ x 1.0)))
12.0ms
(- (- (* 1.0 1.0) x) 1.0)

simplify50.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0425900
11822817
25001807

prune202.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes23.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084
184

end0.0ms

sample520.0ms

Algorithm
intervals
Results
356.0ms7998×body80valid
42.0ms2695×body80nan
0.0ms2×body1280valid