Details

Time bar (total: 2.1s)

sample15.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
063
163

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.8b

localize6.0ms

Local error

Found 1 expressions with local error:

13.8b
(/ x (+ (* x x) 1.0))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×add-exp-log associate-/r* add-cbrt-cube associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
6.0ms
(/ x (+ (* x x) 1.0))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(/ x (+ (* x x) 1.0))

simplify52.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0165210
1555195
21839192
35001192

prune67.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (+ (* x x) 1.0))
13.6b
(* x (/ 1 (+ (* x x) 1.0)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×times-frac
19×*-un-lft-identity
18×add-cube-cbrt
15×add-exp-log associate-*r*
9×add-cbrt-cube
5×pow1
4×div-exp prod-exp associate-/r/
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp flip3-+ 1-exp cbrt-unprod flip-+ div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 71
Calls
2 calls:
6.0ms
(/ 1 (+ (* x x) 1.0))
17.0ms
(* x (/ 1 (+ (* x x) 1.0)))

series96.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ 1 (+ (* x x) 1.0))
57.0ms
(* x (/ 1 (+ (* x x) 1.0)))

simplify42.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0316470
11443410
25001374

prune114.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

1.9b
(/ x (+ (- (* 1.0 1.0)) (pow x 4)))
20.0b
(* (/ x (+ (- (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
26×add-sqr-sqrt
25×times-frac
20×add-cube-cbrt
18×associate-*l*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out
4×pow1 associate-*r* associate-/r* associate-/r/
3×associate-/l*
2×cbrt-undiv distribute-rgt-in frac-times sub-neg flip3-- distribute-lft-in flip3-+ associate-*r/ div-exp prod-exp flip-- cbrt-unprod flip-+ div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative difference-of-squares
Counts
2 → 79
Calls
2 calls:
12.0ms
(/ x (+ (- (* 1.0 1.0)) (pow x 4)))
40.0ms
(* (/ x (+ (- (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0))

series226.0ms

Counts
2 → 6
Calls
2 calls:
123.0ms
(/ x (+ (- (* 1.0 1.0)) (pow x 4)))
103.0ms
(* (/ x (+ (- (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0))

simplify52.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0427860
11887778
25003745

prune191.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x))
0.2b
(/ 1 (pow x 5))
0.3b
(/ 1 (pow x 3))
20.7b
(- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3))))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
57×times-frac
45×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
24×unpow-prod-down
22×add-exp-log
19×associate-/r*
12×cube-prod div-exp
11×add-log-exp
8×frac-sub add-cbrt-cube sqr-pow
7×associate-*r/ un-div-inv
6×pow-to-exp rec-exp 1-exp frac-add pow-exp associate-/l*
4×pow1 cube-mult unpow3
3×flip3-+ flip-+
2×cbrt-undiv pow-flip frac-2neg diff-log clear-num sum-log div-inv inv-pow
1×+-commutative sub-neg flip3-- associate--l+ flip--
Counts
4 → 161
Calls
4 calls:
9.0ms
(+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x))
4.0ms
(/ 1 (pow x 5))
5.0ms
(/ 1 (pow x 3))
81.0ms
(- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3))))

series204.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x))
43.0ms
(/ 1 (pow x 5))
30.0ms
(/ 1 (pow x 3))
46.0ms
(- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3))))

simplify79.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
05051102
12799909
25002900

prune239.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes23.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 14.8b

bsearch51.0ms

Steps
ItersRangePoint
9
22857.716182190634
7734910176.923709
23741.194574337824
5
-1.3137402406912225e+25
-5.426770360209421e+24
-1.033538641236291e+25

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03413
13413

end0.0ms

sample405.0ms

Algorithm
intervals
Results
314.0ms8000×body80valid