Details

Time bar (total: 7.3s)

sample27.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
7.0ms284×body80nan

simplify35.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0217
1416
2696
3956
41256
51406
61426
71426

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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)

rewrite26.0ms

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))
16.0ms
(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
3.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)

series201.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
96.0ms
(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
57.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)

simplify96.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
06271691
123791609
250021609

prune425.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

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

rewrite32.0ms

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))
19.0ms
(* (/ (- 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)))

series225.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
92.0ms
(* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)
89.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

simplify63.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0357827
11182752
25001738

prune283.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
426×times-frac
377×add-sqr-sqrt
312×*-un-lft-identity
275×sqrt-prod
192×add-cube-cbrt
92×difference-of-squares
46×distribute-lft-out--
31×associate-/r*
20×associate-/l*
14×distribute-lft-out
13×add-exp-log add-cbrt-cube div-inv
5×pow1 cbrt-undiv div-exp
4×expm1-log1p-u log1p-expm1-u associate-/l/ add-log-exp
3×frac-2neg clear-num
1×rem-sqrt-square flip3-- sqrt-pow1 flip3-+ pow1/2 div-sub associate-/r/ flip-- flip-+
Counts
4 → 362
Calls
4 calls:
4.0ms
(sqrt (fma (sqrt x) 4.0 (+ x 1.0)))
18.0ms
(/ (+ (sqrt x) (sqrt 1.0)) (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))
3.0ms
(/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)
30.0ms
(/ (- (sqrt x) (sqrt 1.0)) (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) 6.0))

series864.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(sqrt (fma (sqrt x) 4.0 (+ x 1.0)))
294.0ms
(/ (+ (sqrt x) (sqrt 1.0)) (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))
119.0ms
(/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)
368.0ms
(/ (- (sqrt x) (sqrt 1.0)) (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) 6.0))

simplify176.0ms

Algorithm
egg-herbie
Counts
374 → 374
Iterations

Useful iterations: 2 (110.0ms)

IterNodesCost
010986504
146356152
250016136

prune862.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite189.0ms

Algorithm
rewrite-expression-head
Rules
2401×times-frac
1310×add-sqr-sqrt
1309×*-un-lft-identity
1033×add-cube-cbrt
867×sqrt-prod
165×associate-/r*
138×distribute-lft-out-- difference-of-squares
52×div-inv
20×add-exp-log add-cbrt-cube
14×associate-/l*
10×cbrt-undiv div-exp
8×associate-/r/
5×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num
2×associate-/l/
1×rem-sqrt-square flip3-- sqrt-pow1 pow1/2 div-sub flip--
Counts
4 → 1082
Calls
4 calls:
1.0ms
(sqrt (fma (sqrt x) 4.0 (+ x 1.0)))
49.0ms
(/ (- x 1.0) (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (/ 6.0 (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))))
3.0ms
(/ 6.0 (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))
10.0ms
(/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (/ 6.0 (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))))

series373.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(sqrt (fma (sqrt x) 4.0 (+ x 1.0)))
97.0ms
(/ (- x 1.0) (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (/ 6.0 (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))))
132.0ms
(/ 6.0 (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))
57.0ms
(/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (/ 6.0 (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))))

simplify328.0ms

Algorithm
egg-herbie
Counts
1094 → 1094
Iterations

Useful iterations: 1 (74.0ms)

IterNodesCost
0318626822
1500125615

prune2.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0126
1126

end0.0ms

sample650.0ms

Algorithm
intervals
Results
250.0ms8000×body80valid
215.0ms8040×body80nan