Details

Time bar (total: 3.5s)

sample22.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
5.0ms226×body80nan

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0217
1397
2617
3807
41057
51147
61147

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log add-cbrt-cube add-log-exp
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×times-frac associate-/r* sum-log
2×pow1 cbrt-undiv flip3-+ associate-*r/ div-exp associate-/r/ flip-+ associate-/l/
1×+-commutative associate-+l+ flip3-- frac-2neg prod-exp clear-num flip-- cbrt-unprod div-inv associate-/l*
Counts
2 → 38
Calls
2 calls:
15.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
22.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series114.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
76.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify37.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0310397
11293333
25001328

prune107.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
103×add-sqr-sqrt *-un-lft-identity
71×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-exp-log add-cbrt-cube
8×add-log-exp
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
3×pow1 sum-log
2×frac-2neg flip3-+ clear-num flip-+ associate-/l/
1×+-commutative associate-+l+
Counts
3 → 154
Calls
3 calls:
15.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
42.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
25.0ms
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

series188.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
72.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
81.0ms
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

simplify86.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
06412084
129421986
250011984

prune379.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
21×associate-*r*
10×add-exp-log add-cbrt-cube
8×add-log-exp
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l*
4×associate-/r/
3×flip3-+ associate-*l* associate-/r* sum-log flip-+
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative associate-+l+ flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
3 → 93
Calls
3 calls:
26.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
62.0ms
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
23.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series188.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
78.0ms
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
74.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify53.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0439987
11809895
25003893

prune226.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 6.0 (* (/ 1 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))))
0.2b
(/ 1 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
0.2b
(* (/ 1 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))))
0.3b
(/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))

rewrite254.0ms

Algorithm
rewrite-expression-head
Rules
141×add-sqr-sqrt
118×times-frac
101×*-un-lft-identity
69×add-cube-cbrt
65×sqrt-prod
64×add-exp-log
38×add-cbrt-cube
37×associate-*r*
27×associate-*l*
25×prod-exp
19×div-exp
15×unswap-sqr
13×pow1 cbrt-unprod distribute-lft-out-- difference-of-squares
12×associate-/r*
10×cbrt-undiv
8×sqrt-div associate-/r/ associate-/l*
5×rec-exp 1-exp associate-*r/
4×flip3-+ pow-prod-down flip-+ div-inv add-log-exp
3×pow-flip
2×frac-times frac-2neg associate-*l/ clear-num *-commutative associate-/l/
1×flip3-- sqrt-pow1 pow1/2 div-sub flip-- inv-pow
Counts
4 → 235
Calls
4 calls:
87.0ms
(* 6.0 (* (/ 1 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))))
21.0ms
(/ 1 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
111.0ms
(* (/ 1 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))))
25.0ms
(/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))

series368.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(* 6.0 (* (/ 1 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))))
87.0ms
(/ 1 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
71.0ms
(* (/ 1 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))))
131.0ms
(/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))

simplify112.0ms

Algorithm
egg-herbie
Counts
247 → 247
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
08923844
142523329
250023085

prune480.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0147
1147

end0.0ms

sample584.0ms

Algorithm
intervals
Results
217.0ms8000×body80valid
200.0ms7984×body80nan