Details

Time bar (total: 3.0s)

analyze445.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
12.5%68.6%18.9%6
18.7%62.4%18.9%7
18.7%59.3%22%8
28.1%39%32.9%9
32.8%34.3%32.9%10
32.8%32%35.3%11
38.2%20.7%41.1%12
41%17.9%41.1%13
41%16.6%42.5%14

sample70.0ms

Algorithm
intervals
Results
32.0ms119×body320valid
22.0ms130×body160valid
3.0ms32×body80nan
1.0ms7×body80valid

simplify102.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (100.0ms)

IterNodesCost
0488136
1488136

prune13.0ms

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: 30.6b

Counts
2 → 2

localize18.0ms

Local error

Found 4 expressions with local error:

6.0b
(cbrt (* (/ 1.0 (* 2.0 a)) (+ (neg g) (sqrt (- (* g g) (* h h))))))
8.7b
(cbrt (* (/ 1.0 (* 2.0 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))
25.2b
(sqrt (- (* g g) (* h h)))
25.2b
(sqrt (- (* g g) (* h h)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-div
8×add-sqr-sqrt sqrt-prod
6×pow1 add-cube-cbrt *-un-lft-identity
4×add-exp-log frac-times flip3-- sqrt-div associate-*r/ add-cbrt-cube flip-- add-log-exp
2×cbrt-prod rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 pow1/3 associate-*l/ flip-+ difference-of-squares
Counts
4 → 60
Calls
4 calls:
13.0ms
(cbrt (* (/ 1.0 (* 2.0 a)) (+ (neg g) (sqrt (- (* g g) (* h h))))))
12.0ms
(cbrt (* (/ 1.0 (* 2.0 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))
4.0ms
(sqrt (- (* g g) (* h h)))
4.0ms
(sqrt (- (* g g) (* h h)))

series141.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(cbrt (* (/ 1.0 (* 2.0 a)) (+ (neg g) (sqrt (- (* g g) (* h h))))))
66.0ms
(cbrt (* (/ 1.0 (* 2.0 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))
7.0ms
(sqrt (- (* g g) (* h h)))
7.0ms
(sqrt (- (* g g) (* h h)))

simplify41.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
053601068

prune239.0ms

Filtered
65 candidates to 72 candidates (-10.8%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New571572
Fresh011
Picked101
Done000
Total581674

Merged error: 26.9b

Counts
74 → 16

localize19.0ms

Local error

Found 4 expressions with local error:

2.6b
(- (* g g) (* h h))
6.0b
(cbrt (* (/ 1.0 (* 2.0 a)) (+ (neg g) (sqrt (- (* g g) (* h h))))))
25.2b
(sqrt (- (* g g) (* h h)))
25.2b
(sqrt (- (* g g) (* h h)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt sqrt-prod
6×pow1 add-cube-cbrt *-un-lft-identity add-log-exp
5×cbrt-div
4×add-exp-log sqrt-div add-cbrt-cube
3×flip3-- flip-- difference-of-squares
2×frac-times rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 associate-*r/ flip-+
1×cbrt-prod sub-neg pow1/3 diff-log associate-*l/
Counts
4 → 58
Calls
4 calls:
4.0ms
(- (* g g) (* h h))
11.0ms
(cbrt (* (/ 1.0 (* 2.0 a)) (+ (neg g) (sqrt (- (* g g) (* h h))))))
4.0ms
(sqrt (- (* g g) (* h h)))
4.0ms
(sqrt (- (* g g) (* h h)))

series82.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(- (* g g) (* h h))
61.0ms
(cbrt (* (/ 1.0 (* 2.0 a)) (+ (neg g) (sqrt (- (* g g) (* h h))))))
8.0ms
(sqrt (- (* g g) (* h h)))
7.0ms
(sqrt (- (* g g) (* h h)))

simplify39.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
04922834
14922834

prune221.0ms

Filtered
60 candidates to 70 candidates (-16.7%)
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New63770
Fresh41115
Picked101
Done000
Total681886

Merged error: 25.8b

Counts
86 → 18

localize23.0ms

Local error

Found 4 expressions with local error:

2.6b
(- (* g g) (* h h))
2.6b
(- (* g g) (* h h))
25.2b
(sqrt (- (* g g) (* h h)))
25.2b
(sqrt (- (* g g) (* h h)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt sqrt-prod add-log-exp
6×pow1 add-cube-cbrt *-un-lft-identity
4×add-exp-log flip3-- sqrt-div add-cbrt-cube flip-- difference-of-squares
2×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 diff-log
Counts
4 → 56
Calls
4 calls:
4.0ms
(- (* g g) (* h h))
4.0ms
(- (* g g) (* h h))
4.0ms
(sqrt (- (* g g) (* h h)))
4.0ms
(sqrt (- (* g g) (* h h)))

series25.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(- (* g g) (* h h))
5.0ms
(- (* g g) (* h h))
7.0ms
(sqrt (- (* g g) (* h h)))
7.0ms
(sqrt (- (* g g) (* h h)))

simplify47.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04920632
14920632

prune198.0ms

Filtered
54 candidates to 68 candidates (-25.9%)
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New67168
Fresh11617
Picked011
Done000
Total681886

Merged error: 25.8b

Counts
86 → 18

localize21.0ms

Local error

Found 4 expressions with local error:

2.6b
(- (* g g) (* h h))
6.0b
(cbrt (* (/ 1.0 (* 2.0 a)) (+ (neg g) (sqrt (- (* g g) (* h h))))))
25.2b
(sqrt (- (* g g) (* h h)))
25.2b
(sqrt (- (* g g) (* h h)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt sqrt-prod
6×pow1 add-cube-cbrt *-un-lft-identity add-log-exp
5×cbrt-div
4×add-exp-log sqrt-div add-cbrt-cube
3×flip3-- flip-- difference-of-squares
2×frac-times rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 associate-*r/ flip-+
1×cbrt-prod sub-neg pow1/3 diff-log associate-*l/
Counts
4 → 58
Calls
4 calls:
4.0ms
(- (* g g) (* h h))
12.0ms
(cbrt (* (/ 1.0 (* 2.0 a)) (+ (neg g) (sqrt (- (* g g) (* h h))))))
4.0ms
(sqrt (- (* g g) (* h h)))
4.0ms
(sqrt (- (* g g) (* h h)))

series82.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(- (* g g) (* h h))
63.0ms
(cbrt (* (/ 1.0 (* 2.0 a)) (+ (neg g) (sqrt (- (* g g) (* h h))))))
7.0ms
(sqrt (- (* g g) (* h h)))
7.0ms
(sqrt (- (* g g) (* h h)))

simplify39.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
04922834
14922834

prune144.0ms

Filtered
60 candidates to 70 candidates (-16.7%)
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New65570
Fresh21416
Picked101
Done101
Total691988

Merged error: 25.8b

Counts
88 → 19

regimes862.0ms

bsearch14.0ms

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