Details

Time bar (total: 5.2s)

sample42.0ms

Algorithm
intervals
Results
16.0ms256×body80valid
15.0ms268×body80nan

simplify19.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

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

localize9.0ms

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))

series137.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
82.0ms
(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

simplify75.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
06151625
123521553
250021553

prune323.0ms

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))

rewrite21.0ms

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))

series264.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
52.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
65.0ms
(/ 1.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
99.0ms
(/ x (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

simplify87.0ms

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
06682123
127992002
250012002

prune611.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
103×times-frac
75×add-sqr-sqrt
70×add-cube-cbrt *-un-lft-identity
19×associate-/r*
18×add-exp-log add-cbrt-cube
13×associate-*l*
9×associate-/l*
8×div-inv
6×pow1 cbrt-undiv div-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg associate-*r* clear-num
2×prod-exp cbrt-unprod unswap-sqr
1×pow-prod-down associate-*l/ associate-/r/ *-commutative
Counts
4 → 164
Calls
4 calls:
2.0ms
(/ x (fma (sqrt x) 4.0 (+ x 1.0)))
2.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
7.0ms
(* (/ x (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)
5.0ms
(/ 1.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

series305.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(/ x (fma (sqrt x) 4.0 (+ x 1.0)))
52.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
96.0ms
(* (/ x (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)
64.0ms
(/ 1.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

simplify73.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
06161585
125751469
250011469

prune495.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
513×times-frac
399×add-sqr-sqrt
334×*-un-lft-identity
236×add-cube-cbrt
145×sqrt-prod
115×associate-*r*
54×add-exp-log
45×distribute-lft-out-- difference-of-squares
34×add-cbrt-cube
31×associate-/r*
24×div-exp
22×associate-*l*
20×unswap-sqr
16×div-inv
14×cbrt-undiv associate-/l*
12×prod-exp
8×pow1
6×cbrt-unprod
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
3×pow-flip frac-2neg clear-num
2×associate-/r/ associate-/l/
1×frac-times flip3-- sqrt-pow1 pow1/2 div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative flip-- inv-pow
Counts
4 → 434
Calls
4 calls:
3.0ms
(/ 1 (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))
3.0ms
(/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)
79.0ms
(* (/ 1 (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))) (/ (- x 1.0) (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)))
15.0ms
(/ (- x 1.0) (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) 6.0))

series445.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(/ 1 (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))
100.0ms
(/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)
84.0ms
(* (/ 1 (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))) (/ (- x 1.0) (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)))
165.0ms
(/ (- x 1.0) (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) 6.0))

simplify96.0ms

Algorithm
egg-herbie
Counts
446 → 446
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
015516602
150016059

prune906.0ms

Pruning

3 alts after pruning (1 fresh and 2 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

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01411
11411

end0.0ms

sample1.1s

Algorithm
intervals
Results
498.0ms8000×body80valid
389.0ms7862×body80nan