Details

Time bar (total: 4.4s)

sample42.0ms

Algorithm
intervals
Results
19.0ms267×body80valid
6.0ms100×body80nan

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03518
16618
211618
314418
415918
516118
616118

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 23.2b

Counts
2 → 1

localize119.0ms

Local error

Found 4 expressions with local error:

1.0b
(- (* b b) (* (* 4.0 a) c))
1.0b
(- (* b b) (* (* 4.0 a) c))
25.3b
(sqrt (- (* b b) (* (* 4.0 a) c)))
25.3b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt add-log-exp
6×pow1 add-cube-cbrt *-un-lft-identity sqrt-prod
4×add-exp-log flip3-- sqrt-div add-cbrt-cube flip--
2×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 diff-log
Counts
4 → 54
Calls
4 calls:
3.0ms
(- (* b b) (* (* 4.0 a) c))
4.0ms
(- (* b b) (* (* 4.0 a) c))
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series234.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(- (* b b) (* (* 4.0 a) c))
43.0ms
(- (* b b) (* (* 4.0 a) c))
71.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
72.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify83.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 3 (76.0ms)

IterNodesCost
0149478
1576446
22486444
35001440

prune245.0ms

Filtered
66 candidates to 50 candidates (75.8%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New57966
Fresh000
Picked101
Done000
Total58967

Merged error: 9.1b

Counts
67 → 9

localize118.0ms

Local error

Found 4 expressions with local error:

1.0b
(- (* b b) (* (* 4.0 a) c))
4.6b
(/ (* 2.0 c) (- (neg b) (- b (* 2.0 (/ (* a c) b)))))
7.7b
(/ (* a c) b)
25.3b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
14×add-exp-log add-sqr-sqrt add-cbrt-cube
9×add-cube-cbrt times-frac associate-/r*
6×add-log-exp
5×pow1
4×cbrt-undiv div-exp distribute-lft-out--
3×flip3-- sqrt-prod flip--
2×distribute-rgt-neg-in frac-2neg sqrt-div prod-exp clear-num associate-/r/ cbrt-unprod div-inv associate-/l* difference-of-squares
1×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 diff-log
Counts
4 → 77
Calls
4 calls:
3.0ms
(- (* b b) (* (* 4.0 a) c))
9.0ms
(/ (* 2.0 c) (- (neg b) (- b (* 2.0 (/ (* a c) b)))))
5.0ms
(/ (* a c) b)
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series319.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(- (* b b) (* (* 4.0 a) c))
180.0ms
(/ (* 2.0 c) (- (neg b) (- b (* 2.0 (/ (* a c) b)))))
19.0ms
(/ (* a c) b)
72.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify50.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0397657
11995574
25001570

prune321.0ms

Filtered
89 candidates to 62 candidates (69.7%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New82789
Fresh358
Picked101
Done000
Total861298

Merged error: 8.3b

Counts
98 → 12

localize124.0ms

Local error

Found 4 expressions with local error:

1.0b
(- (* b b) (* (* 4.0 a) c))
3.8b
(* (/ a (* (cbrt b) (cbrt b))) (/ c (cbrt b)))
4.6b
(/ (* 2.0 c) (- (neg b) (- b (* 2.0 (* (/ a (* (cbrt b) (cbrt b))) (/ c (cbrt b)))))))
25.3b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
34×times-frac
30×add-exp-log *-un-lft-identity
23×add-cbrt-cube
22×add-cube-cbrt associate-*r*
11×cbrt-prod
9×cbrt-undiv div-exp prod-exp cbrt-unprod
7×pow1 associate-*l*
6×associate-/r* add-log-exp unswap-sqr
4×distribute-lft-out--
3×flip3-- sqrt-prod flip-- div-inv
2×distribute-rgt-neg-in sqrt-div associate-/r/ difference-of-squares
1×frac-times sub-neg rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 diff-log associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l*
Counts
4 → 115
Calls
4 calls:
4.0ms
(- (* b b) (* (* 4.0 a) c))
15.0ms
(* (/ a (* (cbrt b) (cbrt b))) (/ c (cbrt b)))
14.0ms
(/ (* 2.0 c) (- (neg b) (- b (* 2.0 (* (/ a (* (cbrt b) (cbrt b))) (/ c (cbrt b)))))))
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series380.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (* b b) (* (* 4.0 a) c))
53.0ms
(* (/ a (* (cbrt b) (cbrt b))) (/ c (cbrt b)))
211.0ms
(/ (* 2.0 c) (- (neg b) (- b (* 2.0 (* (/ a (* (cbrt b) (cbrt b))) (/ c (cbrt b)))))))
72.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify93.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
06931370
135581189
250021148

prune503.0ms

Filtered
127 candidates to 91 candidates (71.7%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New1234127
Fresh11011
Picked101
Done000
Total12514139

Merged error: 8.3b

Counts
139 → 14

localize131.0ms

Local error

Found 4 expressions with local error:

9.3b
(cbrt (/ a (* (cbrt b) (cbrt b))))
9.3b
(cbrt (/ a (* (cbrt b) (cbrt b))))
9.3b
(cbrt (/ a (* (cbrt b) (cbrt b))))
25.3b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
12×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
9×times-frac
5×pow1
4×add-exp-log add-cbrt-cube add-log-exp
3×cbrt-div pow1/3 sqrt-prod div-inv
2×sqrt-div
1×rem-sqrt-square flip3-- sqrt-pow1 pow1/2 flip--
Counts
4 → 63
Calls
4 calls:
5.0ms
(cbrt (/ a (* (cbrt b) (cbrt b))))
5.0ms
(cbrt (/ a (* (cbrt b) (cbrt b))))
5.0ms
(cbrt (/ a (* (cbrt b) (cbrt b))))
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series518.0ms

Counts
4 → 12
Calls
4 calls:
163.0ms
(cbrt (/ a (* (cbrt b) (cbrt b))))
143.0ms
(cbrt (/ a (* (cbrt b) (cbrt b))))
140.0ms
(cbrt (/ a (* (cbrt b) (cbrt b))))
72.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify74.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (67.0ms)

IterNodesCost
0196591
1605553
22342546
35002544

prune381.0ms

Filtered
75 candidates to 66 candidates (88.0%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New75075
Fresh01313
Picked011
Done000
Total751489

Merged error: 8.3b

Counts
89 → 14

regimes508.0ms

bsearch7.0ms

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