Details

Time bar (total: 3.5s)

sample25.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
6.0ms233×body80nan

simplify25.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

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

localize10.0ms

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))

rewrite19.0ms

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:
3.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
10.0ms
(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

series151.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
92.0ms
(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

simplify91.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
06151625
123521553
250021553

prune386.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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))) 6.0)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*l*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1
3×associate-*r* associate-/r*
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative flip--
Counts
2 → 80
Calls
2 calls:
7.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
10.0ms
(* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)

series185.0ms

Counts
2 → 6
Calls
2 calls:
87.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
97.0ms
(* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)

simplify55.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0333761
11132696
25001685

prune246.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
0.0b
(* (log (exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))) 6.0)
0.0b
(exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
0.0b
(log (exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
72×add-sqr-sqrt
70×*-un-lft-identity
60×times-frac
57×exp-prod
44×add-cube-cbrt
40×log-pow
23×associate-*l*
13×distribute-lft-out-- difference-of-squares
8×pow1 add-exp-log add-cbrt-cube
5×associate-/l* add-log-exp
4×expm1-log1p-u log1p-expm1-u div-inv
3×log-prod div-sub associate-*r* associate-/r*
2×exp-diff associate-/l/
1×cbrt-undiv log-div flip3-- frac-2neg div-exp rem-log-exp pow-prod-down prod-exp clear-num *-commutative flip-- cbrt-unprod rem-exp-log unswap-sqr
Counts
4 → 144
Calls
4 calls:
7.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
13.0ms
(* (log (exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))) 6.0)
7.0ms
(exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
8.0ms
(log (exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))))

series390.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
99.0ms
(* (log (exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))) 6.0)
126.0ms
(exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
82.0ms
(log (exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))))

simplify73.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
04201317
112781211
250021192

prune498.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1
3×associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 80
Calls
2 calls:
7.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
11.0ms
(* 6.0 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))

series188.0ms

Counts
2 → 6
Calls
2 calls:
90.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
98.0ms
(* 6.0 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))

simplify62.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0330760
11366693
25001685

prune254.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes18.0ms

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
0166
1166

end0.0ms

sample658.0ms

Algorithm
intervals
Results
252.0ms8000×body80valid
214.0ms8115×body80nan