Details

Time bar (total: 4.8s)

sample52.0ms

Algorithm
intervals
Results
20.0ms268×body80nan
20.0ms256×body80valid

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

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp associate-/r/ flip-- cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg flip3-+ pow-prod-down clear-num *-commutative flip-+ div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 51
Calls
2 calls:
9.0ms
(* 6.0 (- x 1.0))
20.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series122.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(* 6.0 (- x 1.0))
78.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify42.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0326386
11507326
25002325

prune113.0ms

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

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1 associate-/r/
3×associate-*l* associate-/r*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ 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:
47.0ms
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
21.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series153.0ms

Counts
2 → 6
Calls
2 calls:
80.0ms
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
73.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify50.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0388878
11674800
25001798

prune185.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite451.0ms

Algorithm
rewrite-expression-head
Rules
52×add-sqr-sqrt
42×*-un-lft-identity
38×times-frac
26×add-cube-cbrt
14×associate-*r*
12×associate-/r/
10×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
6×pow1 distribute-rgt-out-- flip3-+ associate-/r* flip-+ div-inv associate-/l* add-log-exp
4×associate-*r/
3×sub-neg associate-*l*
2×cbrt-undiv distribute-rgt-in flip3-- frac-2neg distribute-lft-in div-exp clear-num frac-sub flip-- sub-div
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 120
Calls
4 calls:
116.0ms
(- (/ x (+ (+ x 1.0) (* 4.0 (sqrt x)))) (/ 1.0 (+ (+ x 1.0) (* 4.0 (sqrt x)))))
18.0ms
(/ 1.0 (+ (+ x 1.0) (* 4.0 (sqrt x))))
296.0ms
(* 6.0 (- (/ x (+ (+ x 1.0) (* 4.0 (sqrt x)))) (/ 1.0 (+ (+ x 1.0) (* 4.0 (sqrt x))))))
16.0ms
(/ x (+ (+ x 1.0) (* 4.0 (sqrt x))))

series612.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(- (/ x (+ (+ x 1.0) (* 4.0 (sqrt x)))) (/ 1.0 (+ (+ x 1.0) (* 4.0 (sqrt x)))))
60.0ms
(/ 1.0 (+ (+ x 1.0) (* 4.0 (sqrt x))))
336.0ms
(* 6.0 (- (/ x (+ (+ x 1.0) (* 4.0 (sqrt x)))) (/ 1.0 (+ (+ x 1.0) (* 4.0 (sqrt x))))))
90.0ms
(/ x (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify71.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05321561
121591444
250021440

prune310.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite268.0ms

Algorithm
rewrite-expression-head
Rules
74×add-sqr-sqrt
72×*-un-lft-identity
63×exp-prod
60×times-frac
46×add-cube-cbrt
44×log-pow
25×associate-*r*
13×distribute-lft-out-- difference-of-squares
9×log-prod
8×pow1 add-exp-log associate-/r/ add-cbrt-cube
5×associate-/l* add-log-exp
4×flip3-+ flip-+ div-inv
3×distribute-rgt-in distribute-lft-in div-sub associate-*l* 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 → 150
Calls
4 calls:
42.0ms
(exp (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
153.0ms
(* 6.0 (log (exp (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))))
21.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))
45.0ms
(log (exp (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))))

series322.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(exp (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
78.0ms
(* 6.0 (log (exp (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))))
72.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))
74.0ms
(log (exp (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))))

simplify63.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05181612
119241470
250021460

prune416.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0179
1179

end0.0ms

sample1.4s

Algorithm
intervals
Results
653.0ms8000×body80valid
549.0ms7994×body80nan