Details

Time bar (total: 15.1s)

sample25.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
6.0ms256×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

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (sqrt x) 4.0 (+ x 1.0))
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))

rewrite23.0ms

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))
2.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
14.0ms
(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

series174.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
51.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
84.0ms
(/ (- x 1.0) (/ (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

prune375.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

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

rewrite54.0ms

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))
9.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
19.0ms
(/ (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ 1 6.0))

series203.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
75.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
89.0ms
(/ (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ 1 6.0))

simplify92.0ms

Algorithm
egg-herbie
Counts
365 → 365
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
016245786
150015326

prune721.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
7181×times-frac
4950×add-sqr-sqrt
3805×*-un-lft-identity
2917×sqrt-prod
2682×add-cube-cbrt
1281×associate-*r*
1108×difference-of-squares
1059×cbrt-prod
554×distribute-lft-out--
167×div-inv
129×add-exp-log
107×add-cbrt-cube
72×associate-/l*
59×cbrt-undiv div-exp
38×prod-exp cbrt-unprod
29×associate-/r*
13×unswap-sqr
9×associate-*l*
6×pow1 distribute-lft-out
5×associate-/l/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg div-sub clear-num
2×associate-/r/
1×frac-times flip3-- flip3-+ associate-*r/ pow-prod-down associate-*l/ *-commutative flip-- flip-+
Counts
4 → 2853
Calls
4 calls:
556.0ms
(* (/ (+ (sqrt x) (sqrt 1.0)) (* (* (cbrt 1) (cbrt 1)) (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))) (/ (/ (- (sqrt x) (sqrt 1.0)) (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))) (/ (cbrt 1) 6.0)))
62.0ms
(/ (/ (- (sqrt x) (sqrt 1.0)) (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))) (/ (cbrt 1) 6.0))
23.0ms
(/ (- (sqrt x) (sqrt 1.0)) (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))
30.0ms
(/ (+ (sqrt x) (sqrt 1.0)) (* (* (cbrt 1) (cbrt 1)) (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))))

series1.3s

Counts
4 → 12
Calls
4 calls:
481.0ms
(* (/ (+ (sqrt x) (sqrt 1.0)) (* (* (cbrt 1) (cbrt 1)) (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))) (/ (/ (- (sqrt x) (sqrt 1.0)) (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))) (/ (cbrt 1) 6.0)))
326.0ms
(/ (/ (- (sqrt x) (sqrt 1.0)) (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))) (/ (cbrt 1) 6.0))
272.0ms
(/ (- (sqrt x) (sqrt 1.0)) (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))
255.0ms
(/ (+ (sqrt x) (sqrt 1.0)) (* (* (cbrt 1) (cbrt 1)) (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))))

simplify647.0ms

Algorithm
egg-herbie
Counts
2865 → 2865
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
0500178632

prune8.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (sqrt x) 4.0 (+ x 1.0))
0.0b
(/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0)))
0.0b
(/ (- x 1.0) (/ 1 (/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0)))))
0.1b
(/ 1 (/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0))))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
700×times-frac
399×add-sqr-sqrt *-un-lft-identity
309×add-cube-cbrt
60×associate-/r*
45×distribute-lft-out-- difference-of-squares
36×add-exp-log
31×div-inv
22×div-exp
20×add-cbrt-cube
11×associate-/l*
10×cbrt-undiv
8×associate-/r/
5×pow1
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
3×frac-2neg clear-num
2×associate-/l/
1×flip3-- pow-flip div-sub flip-- fma-udef inv-pow
Counts
4 → 412
Calls
4 calls:
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
2.0ms
(/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0)))
23.0ms
(/ (- x 1.0) (/ 1 (/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0)))))
6.0ms
(/ 1 (/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0))))

series263.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
72.0ms
(/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0)))
91.0ms
(/ (- x 1.0) (/ 1 (/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0)))))
53.0ms
(/ 1 (/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0))))

simplify101.0ms

Algorithm
egg-herbie
Counts
424 → 424
Iterations

Useful iterations: 1 (45.0ms)

IterNodesCost
016976043
150015465

prune946.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes24.0ms

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 (0.0ms)

IterNodesCost
0116
1116

end0.0ms

sample625.0ms

Algorithm
intervals
Results
233.0ms8000×body80valid
205.0ms7958×body80nan