Details

Time bar (total: 4.3s)

sample48.0ms

Algorithm
intervals
Results
21.0ms741×body80nan
9.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0127
1167
2187
3187

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 (* x x)))
0.0b
(/ (sqrt (- 1.0 (* x x))) x)
0.0b
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
0.2b
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
49×*-un-lft-identity
42×times-frac
39×add-sqr-sqrt
33×add-cube-cbrt
20×sqrt-prod
13×fma-def
8×log-prod distribute-lft-out
7×add-exp-log associate-/l*
6×pow1 add-cbrt-cube div-inv add-log-exp
5×difference-of-squares
4×expm1-log1p-u sqrt-div log1p-expm1-u
3×log-div associate-/r*
2×distribute-rgt-out flip3-- flip3-+ frac-add flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-exp rem-log-exp clear-num sum-log log-pow
Counts
4 → 119
Calls
4 calls:
7.0ms
(sqrt (- 1.0 (* x x)))
12.0ms
(/ (sqrt (- 1.0 (* x x))) x)
38.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
30.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

series512.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(sqrt (- 1.0 (* x x)))
112.0ms
(/ (sqrt (- 1.0 (* x x))) x)
88.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
259.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

simplify53.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
05371057
119211003
25001992

prune335.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (pow x 4) (* (pow (sqrt 1.0) 3) (+ (sqrt 1.0) 1.0)))
0.0b
(* 1/2 (/ (pow x 2) (* (sqrt 1.0) (+ (sqrt 1.0) 1.0))))
0.0b
(/ (pow x 2) (* (sqrt 1.0) (+ (sqrt 1.0) 1.0)))
0.2b
(- (- (log (+ (sqrt 1.0) 1.0)) (* 1/2 (/ (pow x 2) (* (sqrt 1.0) (+ (sqrt 1.0) 1.0))))) (fma 1/8 (/ (pow x 4) (* (pow (sqrt 1.0) 3) (+ (sqrt 1.0) 1.0))) (log x)))

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
64×add-exp-log
32×add-sqr-sqrt
31×*-un-lft-identity
25×add-cube-cbrt
24×div-exp
23×times-frac add-cbrt-cube
22×prod-exp
20×associate--l+
15×unpow-prod-down associate-/l*
14×associate-*r*
13×prod-diff
11×pow-to-exp pow-exp
8×add-log-exp
7×pow1 log-prod associate-*r/
6×cbrt-undiv associate-/r/ cbrt-unprod
5×sqr-pow
4×expm1-log1p-u log1p-expm1-u
3×flip3-+ fma-neg diff-log associate-*l* flip-+ div-inv unpow2
2×sub-neg distribute-rgt-out frac-2neg clear-num associate-/r*
1×associate--l- flip3-- pow-prod-down distribute-rgt1-in sqrt-prod log-pow *-commutative flip-- fma-udef distribute-lft-out associate--r+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 166
Calls
4 calls:
19.0ms
(/ (pow x 4) (* (pow (sqrt 1.0) 3) (+ (sqrt 1.0) 1.0)))
64.0ms
(* 1/2 (/ (pow x 2) (* (sqrt 1.0) (+ (sqrt 1.0) 1.0))))
18.0ms
(/ (pow x 2) (* (sqrt 1.0) (+ (sqrt 1.0) 1.0)))
48.0ms
(- (- (log (+ (sqrt 1.0) 1.0)) (* 1/2 (/ (pow x 2) (* (sqrt 1.0) (+ (sqrt 1.0) 1.0))))) (fma 1/8 (/ (pow x 4) (* (pow (sqrt 1.0) 3) (+ (sqrt 1.0) 1.0))) (log x)))

series758.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(/ (pow x 4) (* (pow (sqrt 1.0) 3) (+ (sqrt 1.0) 1.0)))
125.0ms
(* 1/2 (/ (pow x 2) (* (sqrt 1.0) (+ (sqrt 1.0) 1.0))))
115.0ms
(/ (pow x 2) (* (sqrt 1.0) (+ (sqrt 1.0) 1.0)))
336.0ms
(- (- (log (+ (sqrt 1.0) 1.0)) (* 1/2 (/ (pow x 2) (* (sqrt 1.0) (+ (sqrt 1.0) 1.0))))) (fma 1/8 (/ (pow x 4) (* (pow (sqrt 1.0) 3) (+ (sqrt 1.0) 1.0))) (log x)))

simplify101.0ms

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
07292737
134262200
250012193

prune707.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes53.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03229
13229

end0.0ms

sample1.4s

Algorithm
intervals
Results
691.0ms24270×body80nan
283.0ms8000×body80valid