Details

Time bar (total: 5.8s)

sample71.0ms

Algorithm
intervals
Results
48.0ms283×body10240exit
6.0ms210×body80valid
2.0ms23×body320valid
1.0ms21×body160valid
1.0ms7×body640valid

simplify46.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (6.0ms)

IterNodesCost
0209
1489
21079
32248
415148
550018

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.3b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ wj 1))
0.0b
(/ (/ x (+ wj 1)) (exp wj))
0.0b
(/ wj (+ wj 1))
5.1b
(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
127×times-frac
118×*-un-lft-identity
78×add-sqr-sqrt
73×add-cube-cbrt
24×associate-/l*
21×distribute-lft-out
13×add-cbrt-cube
12×associate-/r/
11×add-exp-log associate-/r*
9×add-log-exp
7×flip3-+ flip-+ div-inv
5×cbrt-undiv div-exp
4×pow1
3×frac-2neg clear-num
2×diff-log frac-sub distribute-lft-out-- difference-of-squares
1×sub-neg flip3-- associate--l+ sum-log flip-- associate-/l/
Counts
4 → 176
Calls
4 calls:
5.0ms
(/ x (+ wj 1))
10.0ms
(/ (/ x (+ wj 1)) (exp wj))
5.0ms
(/ wj (+ wj 1))
30.0ms
(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series149.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ x (+ wj 1))
44.0ms
(/ (/ x (+ wj 1)) (exp wj))
22.0ms
(/ wj (+ wj 1))
59.0ms
(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

simplify79.0ms

Algorithm
egg-herbie
Counts
188 → 188
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
07211524
133031471
250021471

prune441.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.5b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (pow wj 2))
0.0b
(- (+ x (pow wj 2)) (* 2 (* wj x)))
0.0b
(* 2 (* wj x))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×pow1 add-exp-log add-cbrt-cube
6×*-un-lft-identity
4×add-sqr-sqrt add-cube-cbrt
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×diff-log sum-log
1×+-commutative sub-neg flip3-- flip3-+ associate-*r* associate--l+ *-commutative flip-- flip-+ distribute-lft-out
Counts
3 → 44
Calls
3 calls:
5.0ms
(+ x (pow wj 2))
9.0ms
(- (+ x (pow wj 2)) (* 2 (* wj x)))
5.0ms
(* 2 (* wj x))

series82.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(+ x (pow wj 2))
30.0ms
(- (+ x (pow wj 2)) (* 2 (* wj x)))
19.0ms
(* 2 (* wj x))

simplify128.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0202247
1793231
24232228
35001228

prune102.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.5b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (pow wj 2))) (cbrt (+ x (pow wj 2))))
0.6b
(cbrt (+ x (pow wj 2)))
0.6b
(cbrt (+ x (pow wj 2)))
0.6b
(cbrt (+ x (pow wj 2)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
13.0ms
(* (cbrt (+ x (pow wj 2))) (cbrt (+ x (pow wj 2))))
4.0ms
(cbrt (+ x (pow wj 2)))
4.0ms
(cbrt (+ x (pow wj 2)))
4.0ms
(cbrt (+ x (pow wj 2)))

series1.3s

Counts
4 → 12
Calls
4 calls:
283.0ms
(* (cbrt (+ x (pow wj 2))) (cbrt (+ x (pow wj 2))))
336.0ms
(cbrt (+ x (pow wj 2)))
326.0ms
(cbrt (+ x (pow wj 2)))
321.0ms
(cbrt (+ x (pow wj 2)))

simplify167.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (158.0ms)

IterNodesCost
0252878
1944827
24715760
35001749

prune291.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.5b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ wj 1))
0.0b
(/ (/ x (+ wj 1)) (exp wj))
0.0b
(/ wj (+ wj 1))
5.9b
(- wj (/ wj (+ wj 1)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
127×times-frac
115×*-un-lft-identity
78×add-sqr-sqrt
73×add-cube-cbrt
24×associate-/l*
20×distribute-lft-out
13×add-cbrt-cube
12×associate-/r/
11×add-exp-log associate-/r*
7×div-inv
6×flip3-+ flip-+ add-log-exp
5×cbrt-undiv div-exp
4×pow1
3×frac-2neg clear-num
2×difference-of-squares
1×sub-neg flip3-- diff-log flip-- associate-/l/ distribute-lft-out--
Counts
4 → 171
Calls
4 calls:
5.0ms
(/ x (+ wj 1))
10.0ms
(/ (/ x (+ wj 1)) (exp wj))
5.0ms
(/ wj (+ wj 1))
10.0ms
(- wj (/ wj (+ wj 1)))

series120.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ x (+ wj 1))
41.0ms
(/ (/ x (+ wj 1)) (exp wj))
27.0ms
(/ wj (+ wj 1))
28.0ms
(- wj (/ wj (+ wj 1)))

simplify77.0ms

Algorithm
egg-herbie
Counts
183 → 183
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
06341321
128441269
250011267

prune435.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

regimes51.0ms

Accuracy

0% (1.0b remaining)

Error of 1.1b against oracle of 0.1b and baseline of 1.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02110
12110

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.4s7586×body10240exit
201.0ms6315×body80valid
70.0ms776×body320valid
64.0ms454×body640valid
33.0ms539×body160valid