Details

Time bar (total: 2.1s)

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
063
163

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.1b

localize4.0ms

Local error

Found 1 expressions with local error:

14.1b
(/ x (+ (* x x) 1.0))

rewrite14.0ms

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:
13.0ms
(/ x (+ (* x x) 1.0))

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(/ x (+ (* x x) 1.0))

simplify55.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0165210
1555195
21839192
35001192

prune92.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

3.0b
(/ x (+ (- (* 1.0 1.0)) (pow x 4)))
19.8b
(* (/ x (+ (- (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0))

rewrite101.0ms

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:
22.0ms
(/ x (+ (- (* 1.0 1.0)) (pow x 4)))
76.0ms
(* (/ x (+ (- (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0))

series207.0ms

Counts
2 → 6
Calls
2 calls:
115.0ms
(/ x (+ (- (* 1.0 1.0)) (pow x 4)))
92.0ms
(* (/ x (+ (- (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0))

simplify57.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0427860
11887778
25003745

prune283.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (/ 1 x))
0.1b
(/ 1 (pow x 3))
0.3b
(/ 1 (pow x 5))
17.5b
(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

rewrite185.0ms

Algorithm
rewrite-expression-head
Rules
196×add-sqr-sqrt
173×times-frac
112×*-un-lft-identity
63×difference-of-squares
56×unpow-prod-down
47×add-cube-cbrt
40×sqr-pow
26×cube-prod
22×add-exp-log
19×associate-/r*
12×div-exp
8×add-cbrt-cube add-log-exp
7×distribute-lft-out--
6×pow-to-exp rec-exp 1-exp pow-exp div-inv associate-/l*
4×pow1 cube-mult associate-+l+ unpow3
3×sub-neg associate-*r/ frac-add
2×cbrt-undiv distribute-rgt-in flip3-- pow-flip frac-2neg distribute-lft-in clear-num frac-sub flip-- inv-pow
1×+-commutative flip3-+ diff-log sum-log flip-+
Counts
4 → 227
Calls
4 calls:
80.0ms
(+ (* 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (/ 1 x))
9.0ms
(/ 1 (pow x 3))
8.0ms
(/ 1 (pow x 5))
76.0ms
(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

series197.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(+ (* 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (/ 1 x))
29.0ms
(/ 1 (pow x 3))
42.0ms
(/ 1 (pow x 5))
86.0ms
(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

simplify86.0ms

Algorithm
egg-herbie
Counts
239 → 239
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
06871931
128791646
250011645

prune424.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes23.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 23.9b

bsearch76.0ms

Steps
ItersRangePoint
9
0.007285382865895221
15234496.061427226
1036747.8754876251
8
-5.4640882541009664e+17
-1805753421095896.0
-3876011779464852.0

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04016
14016

end0.0ms

sample244.0ms

Algorithm
intervals
Results
165.0ms8000×body80valid