Details

Time bar (total: 21.9s)

sample23.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
6.0ms275×body80nan

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

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

localize8.0ms

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)

rewrite25.0ms

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))
2.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)

series172.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
82.0ms
(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
47.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)

simplify72.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
06271691
123791609
250021609

prune677.0ms

Pruning

5 alts after pruning (4 fresh and 1 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))) (/ 1 6.0))
0.0b
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
652×times-frac
371×add-sqr-sqrt *-un-lft-identity
279×add-cube-cbrt
46×distribute-lft-out-- difference-of-squares
36×div-inv
27×add-exp-log
24×associate-/l*
17×div-exp add-cbrt-cube
16×associate-/r*
9×cbrt-undiv
3×pow1 expm1-log1p-u div-sub log1p-expm1-u associate-/l/ add-log-exp
2×rec-exp frac-2neg 1-exp clear-num
1×flip3-- associate-/r/ flip-- fma-udef
Counts
3 → 356
Calls
3 calls:
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
23.0ms
(/ (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ 1 6.0))
9.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

series212.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
86.0ms
(/ (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ 1 6.0))
86.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

simplify99.0ms

Algorithm
egg-herbie
Counts
365 → 365
Iterations

Useful iterations: 1 (43.0ms)

IterNodesCost
016245786
150015326

prune812.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (* (* (cbrt 1) (cbrt 1)) (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))))
0.2b
(* (/ 1 (* (* (cbrt 1) (cbrt 1)) (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))) (/ (/ (- x 1.0) (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))) (/ (cbrt 1) 6.0)))
0.2b
(/ (/ (- x 1.0) (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))) (/ (cbrt 1) 6.0))
0.3b
(/ (- x 1.0) (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))

rewrite679.0ms

Algorithm
rewrite-expression-head
Rules
4153×times-frac
2296×add-sqr-sqrt
2247×*-un-lft-identity
1690×add-cube-cbrt
753×associate-*r*
697×sqrt-prod
627×cbrt-prod
279×add-exp-log
277×distribute-lft-out-- difference-of-squares
125×div-exp
119×div-inv
107×add-cbrt-cube
104×prod-exp
59×cbrt-undiv
42×associate-/l*
38×cbrt-unprod
29×associate-/r*
18×rec-exp 1-exp
13×unswap-sqr
12×pow1
7×associate-*l*
4×expm1-log1p-u pow-prod-down log1p-expm1-u add-log-exp
3×pow-flip frac-2neg div-sub clear-num associate-/l/
2×associate-/r/
1×frac-times flip3-- associate-*r/ associate-*l/ *-commutative flip-- inv-pow
Counts
4 → 1777
Calls
4 calls:
27.0ms
(/ 1 (* (* (cbrt 1) (cbrt 1)) (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))))
375.0ms
(* (/ 1 (* (* (cbrt 1) (cbrt 1)) (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))) (/ (/ (- x 1.0) (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))) (/ (cbrt 1) 6.0)))
39.0ms
(/ (/ (- x 1.0) (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))) (/ (cbrt 1) 6.0))
10.0ms
(/ (- x 1.0) (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))

series530.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(/ 1 (* (* (cbrt 1) (cbrt 1)) (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))))
91.0ms
(* (/ 1 (* (* (cbrt 1) (cbrt 1)) (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))) (/ (/ (- x 1.0) (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))) (/ (cbrt 1) 6.0)))
175.0ms
(/ (/ (- x 1.0) (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))) (/ (cbrt 1) 6.0))
162.0ms
(/ (- x 1.0) (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))

simplify391.0ms

Algorithm
egg-herbie
Counts
1789 → 1789
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
0500240165

prune7.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ (- (sqrt x) (sqrt 1.0)) (fma (sqrt x) 4.0 (+ x 1.0))) (sqrt (/ 1 6.0)))
0.1b
(/ (- (sqrt x) (sqrt 1.0)) (fma (sqrt x) 4.0 (+ x 1.0)))
0.1b
(/ (/ (+ (sqrt x) (sqrt 1.0)) 1) (sqrt (/ 1 6.0)))
0.7b
(* (/ (/ (+ (sqrt x) (sqrt 1.0)) 1) (sqrt (/ 1 6.0))) (/ (/ (- (sqrt x) (sqrt 1.0)) (fma (sqrt x) 4.0 (+ x 1.0))) (sqrt (/ 1 6.0))))

rewrite2.3s

Algorithm
rewrite-expression-head
Rules
4373×times-frac
2973×add-sqr-sqrt
2459×*-un-lft-identity
2301×sqrt-prod
1562×add-cube-cbrt
501×associate-*r*
412×difference-of-squares
309×associate-*l*
206×distribute-lft-out--
198×distribute-lft-out
173×div-inv
117×unswap-sqr
66×add-exp-log
59×associate-/l*
52×add-cbrt-cube
36×div-exp
35×associate-/r*
25×cbrt-undiv
12×prod-exp
9×cbrt-unprod
6×pow1
4×expm1-log1p-u sqrt-div 1-exp associate-/r/ log1p-expm1-u associate-/l/ add-log-exp
3×frac-2neg div-sub clear-num
1×frac-times flip3-- associate-*r/ pow-prod-down associate-*l/ *-commutative flip--
Counts
4 → 1938
Calls
4 calls:
37.0ms
(/ (/ (- (sqrt x) (sqrt 1.0)) (fma (sqrt x) 4.0 (+ x 1.0))) (sqrt (/ 1 6.0)))
27.0ms
(/ (- (sqrt x) (sqrt 1.0)) (fma (sqrt x) 4.0 (+ x 1.0)))
32.0ms
(/ (/ (+ (sqrt x) (sqrt 1.0)) 1) (sqrt (/ 1 6.0)))
1.9s
(* (/ (/ (+ (sqrt x) (sqrt 1.0)) 1) (sqrt (/ 1 6.0))) (/ (/ (- (sqrt x) (sqrt 1.0)) (fma (sqrt x) 4.0 (+ x 1.0))) (sqrt (/ 1 6.0))))

series1.3s

Counts
4 → 12
Calls
4 calls:
330.0ms
(/ (/ (- (sqrt x) (sqrt 1.0)) (fma (sqrt x) 4.0 (+ x 1.0))) (sqrt (/ 1 6.0)))
178.0ms
(/ (- (sqrt x) (sqrt 1.0)) (fma (sqrt x) 4.0 (+ x 1.0)))
113.0ms
(/ (/ (+ (sqrt x) (sqrt 1.0)) 1) (sqrt (/ 1 6.0)))
709.0ms
(* (/ (/ (+ (sqrt x) (sqrt 1.0)) 1) (sqrt (/ 1 6.0))) (/ (/ (- (sqrt x) (sqrt 1.0)) (fma (sqrt x) 4.0 (+ x 1.0))) (sqrt (/ 1 6.0))))

simplify669.0ms

Algorithm
egg-herbie
Counts
1950 → 1950
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
0500142995

prune6.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes19.0ms

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
0116
1116

end0.0ms

sample603.0ms

Algorithm
intervals
Results
231.0ms8000×body80valid
202.0ms7968×body80nan