Details

Time bar (total: 4.4s)

sample23.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
6.0ms243×body80nan

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0217
1416
2696
3956
41256
51406
61426
71426

prune6.0ms

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)

rewrite24.0ms

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)

series176.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
77.0ms
(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
64.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)

simplify69.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
06271691
123791609
250021609

prune324.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
168×times-frac
104×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
32×associate-/r*
18×add-exp-log add-cbrt-cube
12×div-inv associate-/l*
8×cbrt-undiv div-exp
4×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
2×associate-/r/
Counts
4 → 202
Calls
4 calls:
2.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
2.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
5.0ms
(/ 1.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
5.0ms
(/ x (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

series240.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
46.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
56.0ms
(/ 1.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
91.0ms
(/ x (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

simplify97.0ms

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
06682123
127992002
250012002

prune616.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
0.1b
(/ 1.0 (* (fma (sqrt x) 4.0 (+ x 1.0)) (/ 1 6.0)))
0.2b
(* (fma (sqrt x) 4.0 (+ x 1.0)) (/ 1 6.0))
0.2b
(/ x (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
98×times-frac
71×add-sqr-sqrt
65×*-un-lft-identity
64×add-cube-cbrt
35×add-exp-log
25×add-cbrt-cube
17×associate-/r*
13×div-exp associate-*r*
9×cbrt-undiv associate-/l*
8×prod-exp div-inv
6×pow1
4×expm1-log1p-u cbrt-unprod log1p-expm1-u add-log-exp
3×frac-2neg associate-*l* clear-num associate-/r/ unswap-sqr
2×rec-exp 1-exp associate-*r/ un-div-inv
1×pow-prod-down *-commutative
Counts
4 → 168
Calls
4 calls:
3.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
9.0ms
(/ 1.0 (* (fma (sqrt x) 4.0 (+ x 1.0)) (/ 1 6.0)))
16.0ms
(* (fma (sqrt x) 4.0 (+ x 1.0)) (/ 1 6.0))
8.0ms
(/ x (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

series245.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
60.0ms
(/ 1.0 (* (fma (sqrt x) 4.0 (+ x 1.0)) (/ 1 6.0)))
45.0ms
(* (fma (sqrt x) 4.0 (+ x 1.0)) (/ 1 6.0))
93.0ms
(/ x (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

simplify82.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
06861613
131451449
250011432

prune462.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
0.2b
(/ x (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
0.8b
(pow (exp (/ 1.0 (fma (sqrt x) 4.0 (+ x 1.0)))) 6.0)
1.6b
(log (pow (exp (/ 1.0 (fma (sqrt x) 4.0 (+ x 1.0)))) 6.0))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
93×times-frac
65×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
14×pow-pow
13×exp-prod
12×add-exp-log
11×add-cbrt-cube
7×log-prod div-inv
6×unpow-prod-down associate-/l*
5×pow1
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×pow-unpow rem-log-exp
2×pow-to-exp frac-2neg pow-exp clear-num sqr-pow
1×associate-/r/ log-pow
Counts
4 → 153
Calls
4 calls:
4.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
9.0ms
(/ x (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
11.0ms
(pow (exp (/ 1.0 (fma (sqrt x) 4.0 (+ x 1.0)))) 6.0)
7.0ms
(log (pow (exp (/ 1.0 (fma (sqrt x) 4.0 (+ x 1.0)))) 6.0))

series607.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
97.0ms
(/ x (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
156.0ms
(pow (exp (/ 1.0 (fma (sqrt x) 4.0 (+ x 1.0)))) 6.0)
302.0ms
(log (pow (exp (/ 1.0 (fma (sqrt x) 4.0 (+ x 1.0)))) 6.0))

simplify78.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06081554
127511450
250011449

prune555.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes19.0ms

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
01513
11513

end0.0ms

sample605.0ms

Algorithm
intervals
Results
230.0ms8000×body80valid
193.0ms8106×body80nan