Details

Time bar (total: 1.5s)

sample45.0ms

Algorithm
intervals
Results
15.0ms319×body80valid
12.0ms327×body80nan

simplify98.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0155
1225
2395
3715
41675
52985
65455
721425
850015

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: 26.1b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
3.0b
(- (* y y) (* z z))
25.1b
(sqrt (- (* y y) (* z z)))

rewrite18.0ms

Algorithm
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×expm1-log1p-u flip3-- associate-*l* flip-- log1p-expm1-u difference-of-squares
2×associate-*r/ unswap-sqr
1×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 fma-neg diff-log prod-diff pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
3 → 62
Calls
3 calls:
7.0ms
(* x (sqrt (- (* y y) (* z z))))
4.0ms
(- (* y y) (* z z))
5.0ms
(sqrt (- (* y y) (* z z)))

series175.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(* x (sqrt (- (* y y) (* z z))))
40.0ms
(- (* y y) (* z z))
49.0ms
(sqrt (- (* y y) (* z z)))

simplify84.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (78.0ms)

IterNodesCost
0202397
1786374
23192368
35001364

prune160.0ms

Filtered
71 candidates to 54 candidates (76.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New68371
Fresh000
Picked011
Done000
Total68472

Merged error: 0.1b

Counts
72 → 4

localize2.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune4.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done011
Total044

Merged error: 0.1b

Counts
4 → 4

localize3.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune3.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done022
Total044

Merged error: 0.1b

Counts
4 → 4

localize8.0ms

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)))

rewrite35.0ms

Algorithm
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×expm1-log1p-u sqrt-pow1 pow1/2 log1p-expm1-u add-log-exp
2×*-commutative distribute-lft-out-- difference-of-squares
1×rem-sqrt-square sqrt-unprod distribute-lft-out
Counts
3 → 90
Calls
3 calls:
12.0ms
(* x (* (sqrt (+ y z)) (sqrt (- y z))))
5.0ms
(sqrt (- y z))
11.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

series248.0ms

Counts
3 → 9
Calls
3 calls:
104.0ms
(* x (* (sqrt (+ y z)) (sqrt (- y z))))
72.0ms
(sqrt (- y z))
72.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

simplify44.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0368672
11274635
25001624

prune216.0ms

Filtered
99 candidates to 71 candidates (71.7%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New99099
Fresh000
Picked011
Done033
Total994103

Merged error: 0.1b

Counts
103 → 4

regimes319.0ms

bsearch43.0ms