Details

Time bar (total: 1.5s)

analyze347.0ms (22.5%)

Algorithm
1×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
0%99.9%0.1%6
0%81.1%18.9%7
6.2%74.9%18.9%8
9.4%65.5%25.1%9
15.6%48.4%36%10
20.3%43.1%36.6%11
22.6%36%41.4%12
27.1%25.1%47.8%13
29.5%22.5%48%14

sample24.0ms (1.6%)

Algorithm
1×intervals
Results
10.0ms256×body80valid
2.0ms64×body80nan
1.0ms22×body80invalid

simplify107.0ms (6.9%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (106.0ms)

IterNodesCost
0651310

prune6.0ms (0.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 25.5b

Counts
2 → 1

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
2.2b
(- (* y y) (* z z))
25.6b
(sqrt (- (* y y) (* z z)))

rewrite15.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
12×add-sqr-sqrt
9×sqrt-prod
7×add-cube-cbrt *-un-lft-identity associate-*r*
6×pow1
5×add-exp-log add-cbrt-cube add-log-exp
4×sqrt-div
3×flip3-- associate-*l* flip-- difference-of-squares
2×associate-*r/ unswap-sqr
1×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 diff-log pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
3 → 53
Calls

3 calls:

7.0ms
(* x (sqrt (- (* y y) (* z z))))
4.0ms
(sqrt (- (* y y) (* z z)))
3.0ms
(- (* y y) (* z z))

series33.0ms (2.2%)

Counts
3 → 9
Calls

3 calls:

18.0ms
(* x (sqrt (- (* y y) (* z z))))
9.0ms
(- (* y y) (* z z))
7.0ms
(sqrt (- (* y y) (* z z)))

simplify31.0ms (2%)

Algorithm
1×egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
04996609
14996609

prune82.0ms (5.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New59362
Fresh000
Picked011
Done000
Total59463

Merged error: 0.3b

Counts
63 → 4

localize3.0ms (0.2%)

rewrite0.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms (0%)

Counts
0 → 0

simplify2.0ms (0.2%)

Algorithm
1×egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune6.0ms (0.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done011
Total044

Merged error: 0.3b

Counts
4 → 4

localize2.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms (0%)

Counts
0 → 0

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune4.0ms (0.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done022
Total044

Merged error: 0.3b

Counts
4 → 4

localize10.0ms (0.6%)

Local error

Found 3 expressions with local error:

0.0b
(* x (* (sqrt (+ y z)) (sqrt (- y z))))
0.0b
(sqrt (- y z))
0.2b
(* (sqrt (+ y z)) (sqrt (- y z)))

rewrite27.0ms (1.7%)

Algorithm
1×rewrite-expression-head
Rules
26×sqrt-div
22×add-sqr-sqrt
18×sqrt-prod
15×*-un-lft-identity
13×pow1
12×associate-*r/
10×add-exp-log associate-*l* add-cbrt-cube
9×add-cube-cbrt associate-*r*
8×frac-times
7×flip3-- flip--
6×flip3-+ pow-prod-down flip-+
4×associate-*l/ prod-exp cbrt-unprod unswap-sqr
3×sqrt-pow1 pow1/2 add-log-exp
2×*-commutative distribute-lft-out-- difference-of-squares
1×rem-sqrt-square sqrt-unprod distribute-lft-out
Counts
3 → 84
Calls

3 calls:

11.0ms
(* x (* (sqrt (+ y z)) (sqrt (- y z))))
10.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))
3.0ms
(sqrt (- y z))

series43.0ms (2.8%)

Counts
3 → 9
Calls

3 calls:

22.0ms
(* x (* (sqrt (+ y z)) (sqrt (- y z))))
12.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))
9.0ms
(sqrt (- y z))

simplify31.0ms (2%)

Algorithm
1×egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
051871069

prune101.0ms (6.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New92193
Fresh000
Picked011
Done033
Total92597

Merged error: 0.3b

Counts
97 → 5

regimes647.0ms (41.9%)

bsearch14.0ms (0.9%)

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