Details

Time bar (total: 4.0s)

sample35.0ms

Algorithm
intervals
Results
16.0ms390×body80valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (13.0ms)

IterNodesCost
05809
15809

prune12.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
0.0b
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
16×add-log-exp
diff-log
sum-log
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt associate-+l- sub-neg associate-+l+ *-un-lft-identity add-cbrt-cube
+-commutative associate--l- flip3-- flip3-+ associate--l+ flip-- flip-+ difference-of-squares
Counts
2 → 32
Calls
2 calls:
5.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
8.0ms
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))

series22.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
13.0ms
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))

simplify40.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
04942403
14942403

prune44.0ms

Filtered
29 candidates to 38 candidates (-31.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New37138
Fresh011
Picked011
Done000
Total37340

Merged error: 0.0b

Counts
40 → 3

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(* d1 (+ d2 (- d4 (+ d1 d3))))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
associate-*r*
add-sqr-sqrt
distribute-lft-out
pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
associate-*r/ distribute-lft-out--
distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
9.0ms
(* d1 (+ d2 (- d4 (+ d1 d3))))

series11.0ms

Counts
1 → 3
Calls
1 calls:
11.0ms
(* d1 (+ d2 (- d4 (+ d1 d3))))

simplify21.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 0 (18.0ms)

IterNodesCost
05072267

prune30.0ms

Filtered
18 candidates to 28 candidates (-55.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New27128
Fresh011
Picked011
Done011
Total27431

Merged error: 0b

Counts
31 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* d1 (+ d2 (- d4 d3)))
0.2b
(* (+ d1 (sqrt (* d1 (+ d2 (- d4 d3))))) (- (sqrt (* d1 (+ d2 (- d4 d3)))) d1))
1.4b
(sqrt (* d1 (+ d2 (- d4 d3))))
1.4b
(sqrt (* d1 (+ d2 (- d4 d3))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
16×add-sqr-sqrt
14×pow1
11×associate-*r*
add-exp-log add-cube-cbrt associate-*r/ associate-*l* add-cbrt-cube
flip3-+ flip-+
frac-times sqrt-pow1 sqrt-div pow-prod-down sqrt-prod distribute-lft-out add-log-exp
distribute-rgt-in flip3-- distribute-lft-in flip-- distribute-lft-out--
sub-neg pow1/2 associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
difference-of-squares
Counts
4 → 85
Calls
4 calls:
8.0ms
(* d1 (+ d2 (- d4 d3)))
15.0ms
(* (+ d1 (sqrt (* d1 (+ d2 (- d4 d3))))) (- (sqrt (* d1 (+ d2 (- d4 d3)))) d1))
6.0ms
(sqrt (* d1 (+ d2 (- d4 d3))))
6.0ms
(sqrt (* d1 (+ d2 (- d4 d3))))

series1.9s

Counts
4 → 12
Calls
4 calls:
9.0ms
(* d1 (+ d2 (- d4 d3)))
1.7s
(* (+ d1 (sqrt (* d1 (+ d2 (- d4 d3))))) (- (sqrt (* d1 (+ d2 (- d4 d3)))) d1))
69.0ms
(sqrt (* d1 (+ d2 (- d4 d3))))
68.0ms
(sqrt (* d1 (+ d2 (- d4 d3))))

simplify30.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
049621485
149621485

prune94.0ms

Filtered
75 candidates to 97 candidates (-29.3%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New97097
Fresh011
Picked011
Done022
Total974101

Merged error: 0b

Counts
101 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (sqrt d1) (sqrt (+ d2 (- d4 (+ d1 d3)))))
0.1b
(* (sqrt d1) (sqrt (+ d2 (- d4 (+ d1 d3)))))
0.1b
(* (* (sqrt d1) (sqrt (+ d2 (- d4 (+ d1 d3))))) (* (sqrt d1) (sqrt (+ d2 (- d4 (+ d1 d3))))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
66×pow1
41×pow-prod-down
29×*-un-lft-identity
27×add-sqr-sqrt
26×sqrt-prod
20×sqrt-pow1 pow1/2
19×add-exp-log associate-*r* add-cbrt-cube
18×associate-*r/
16×sqrt-div
13×associate-*l*
11×add-cube-cbrt
10×prod-exp cbrt-unprod
flip3-+ pow-prod-up flip-+ distribute-lft-out unswap-sqr
sqrt-unprod
pow-sqr
frac-times distribute-lft-out--
*-commutative add-log-exp
pow-plus associate-*l/
pow2 swap-sqr rem-square-sqrt
Counts
3 → 122
Calls
3 calls:
12.0ms
(* (sqrt d1) (sqrt (+ d2 (- d4 (+ d1 d3)))))
14.0ms
(* (sqrt d1) (sqrt (+ d2 (- d4 (+ d1 d3)))))
22.0ms
(* (* (sqrt d1) (sqrt (+ d2 (- d4 (+ d1 d3))))) (* (sqrt d1) (sqrt (+ d2 (- d4 (+ d1 d3))))))

series204.0ms

Counts
3 → 9
Calls
3 calls:
91.0ms
(* (sqrt d1) (sqrt (+ d2 (- d4 (+ d1 d3)))))
92.0ms
(* (sqrt d1) (sqrt (+ d2 (- d4 (+ d1 d3)))))
21.0ms
(* (* (sqrt d1) (sqrt (+ d2 (- d4 (+ d1 d3))))) (* (sqrt d1) (sqrt (+ d2 (- d4 (+ d1 d3))))))

simplify40.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
050391568

prune78.0ms

Filtered
70 candidates to 131 candidates (-87.1%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1310131
Fresh000
Picked011
Done033
Total1314135

Merged error: 0b

Counts
135 → 4

regimes297.0ms

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
01515
11515

end0.0ms

sample997.0ms

Algorithm
intervals
Results
484.0ms11892×body80valid

Profiling

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