Details

Time bar (total: 6.8s)

sample39.0ms

Algorithm
intervals
Results
16.0ms256×body80valid
13.0ms252×body80nan

simplify23.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0217
1416
2696
3956
41256
51406
61426
71426

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (sqrt x) 4.0 (+ x 1.0))
0.0b
(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
0.0b
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
128×times-frac
95×add-sqr-sqrt *-un-lft-identity
67×add-cube-cbrt
16×associate-/r*
14×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
8×div-inv associate-/l*
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg clear-num associate-/l/
1×flip3-- div-sub associate-/r/ flip-- fma-udef
Counts
3 → 142
Calls
3 calls:
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
12.0ms
(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
2.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)

series184.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
88.0ms
(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
50.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)

simplify77.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
06271691
123791609
250021609

prune385.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (sqrt x) 4.0 (+ x 1.0))
0.0b
(* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)
0.0b
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*l*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l*
3×expm1-log1p-u associate-*r* associate-/r* log1p-expm1-u add-log-exp
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×flip3-- frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative flip-- fma-udef
Counts
3 → 90
Calls
3 calls:
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
16.0ms
(* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)
12.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

series207.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
87.0ms
(* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)
80.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

simplify48.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0357827
11182752
25001738

prune303.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (sqrt x) 4.0 (+ x 1.0))
0.0b
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
0.0b
(* (/ 1 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))) 6.0)
0.0b
(/ 1 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
252×times-frac
186×add-sqr-sqrt
174×*-un-lft-identity
122×add-cube-cbrt
68×associate-*l*
36×add-exp-log
26×associate-/r*
25×distribute-lft-out-- difference-of-squares
20×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
8×flip3-- flip--
7×pow1 cbrt-undiv prod-exp
6×associate-/l*
5×unswap-sqr
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
3×associate-*r* cbrt-unprod
2×frac-2neg clear-num
1×pow-flip pow-prod-down associate-*l/ *-commutative fma-udef inv-pow
Counts
4 → 257
Calls
4 calls:
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
6.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
42.0ms
(* (/ 1 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))) 6.0)
11.0ms
(/ 1 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

series297.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
83.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
88.0ms
(* (/ 1 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))) 6.0)
85.0ms
(/ 1 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

simplify103.0ms

Algorithm
egg-herbie
Counts
269 → 269
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
07762748
136872471
250022318

prune593.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (- (sqrt x) (sqrt 1.0)))
0.0b
(/ 6.0 (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (- (sqrt x) (sqrt 1.0))))
0.0b
(/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (+ (sqrt x) (sqrt 1.0)))
0.0b
(/ (sqrt 1) (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (+ (sqrt x) (sqrt 1.0))))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
906×times-frac
724×*-un-lft-identity
656×sqrt-prod
652×add-sqr-sqrt
404×add-cube-cbrt
124×difference-of-squares
110×associate-/r*
98×distribute-lft-out
62×distribute-lft-out--
28×associate-/r/
21×associate-/l*
18×add-exp-log add-cbrt-cube
15×div-inv
8×cbrt-undiv flip3-+ div-exp flip-+
5×flip3-- flip--
4×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
Counts
4 → 677
Calls
4 calls:
13.0ms
(/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (- (sqrt x) (sqrt 1.0)))
24.0ms
(/ 6.0 (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (- (sqrt x) (sqrt 1.0))))
17.0ms
(/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (+ (sqrt x) (sqrt 1.0)))
23.0ms
(/ (sqrt 1) (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (+ (sqrt x) (sqrt 1.0))))

series1.7s

Counts
4 → 12
Calls
4 calls:
570.0ms
(/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (- (sqrt x) (sqrt 1.0)))
339.0ms
(/ 6.0 (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (- (sqrt x) (sqrt 1.0))))
496.0ms
(/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (+ (sqrt x) (sqrt 1.0)))
269.0ms
(/ (sqrt 1) (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (+ (sqrt x) (sqrt 1.0))))

simplify157.0ms

Algorithm
egg-herbie
Counts
689 → 689
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
0160512868
1500112013

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes24.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0167
1167

end0.0ms

sample1.1s

Algorithm
intervals
Results
502.0ms8000×body80valid
426.0ms7896×body80nan