Details

Time bar (total: 4.4s)

sample38.0ms

Algorithm
intervals
Results
16.0ms256×body80valid
12.0ms250×body80nan

simplify21.0ms

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 2 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
128×times-frac
94×add-sqr-sqrt *-un-lft-identity
66×add-cube-cbrt
16×associate-/r*
14×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
8×div-inv associate-/l*
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- div-sub associate-/r/ flip--
Counts
2 → 132
Calls
2 calls:
2.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
12.0ms
(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

series135.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
86.0ms
(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

simplify78.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
06151625
123521553
250021553

prune340.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*l*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1
3×associate-*r* associate-/r*
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative flip--
Counts
2 → 80
Calls
2 calls:
17.0ms
(* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)
9.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

series162.0ms

Counts
2 → 6
Calls
2 calls:
84.0ms
(* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)
78.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

simplify48.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0333761
11132696
25001685

prune208.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0)))
0.1b
(* (- x 1.0) (/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×*-un-lft-identity
19×times-frac
18×add-cube-cbrt
13×associate-*r*
9×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1
3×associate-/r* associate-/l*
2×cbrt-undiv expm1-log1p-u frac-times flip3-- div-exp associate-*l/ prod-exp flip-- cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative distribute-lft-out-- difference-of-squares
Counts
2 → 69
Calls
2 calls:
2.0ms
(/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0)))
14.0ms
(* (- x 1.0) (/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0))))

series149.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0)))
84.0ms
(* (- x 1.0) (/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0))))

simplify50.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0327619
11441556
25002555

prune182.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (sqrt x) (sqrt 1.0))
0.0b
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
0.1b
(* (+ (sqrt x) (sqrt 1.0)) (/ (- (sqrt x) (sqrt 1.0)) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)))
0.2b
(/ (- (sqrt x) (sqrt 1.0)) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
417×times-frac
401×add-sqr-sqrt
292×*-un-lft-identity
176×add-cube-cbrt
169×sqrt-prod
122×associate-*r*
108×difference-of-squares
54×distribute-lft-out--
22×div-inv
20×add-exp-log add-cbrt-cube
16×associate-/r*
12×associate-/l*
7×cbrt-undiv div-exp
6×pow1 fma-def add-log-exp
5×associate-*l*
4×expm1-log1p-u log1p-expm1-u distribute-lft-out
3×flip3-+ prod-exp cbrt-unprod flip-+ unswap-sqr
2×frac-times frac-2neg associate-*l/ clear-num associate-/r/ associate-/l/
1×+-commutative flip3-- div-sub associate-*r/ pow-prod-down sum-log *-commutative flip--
Counts
4 → 361
Calls
4 calls:
6.0ms
(+ (sqrt x) (sqrt 1.0))
2.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
80.0ms
(* (+ (sqrt x) (sqrt 1.0)) (/ (- (sqrt x) (sqrt 1.0)) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)))
26.0ms
(/ (- (sqrt x) (sqrt 1.0)) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

series772.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(+ (sqrt x) (sqrt 1.0))
49.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
478.0ms
(* (+ (sqrt x) (sqrt 1.0)) (/ (- (sqrt x) (sqrt 1.0)) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)))
200.0ms
(/ (- (sqrt x) (sqrt 1.0)) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

simplify80.0ms

Algorithm
egg-herbie
Counts
373 → 373
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
012265604
150015321

prune789.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes15.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0126
1126

end0.0ms

sample1.1s

Algorithm
intervals
Results
500.0ms8000×body80valid
386.0ms7795×body80nan