Details

Time bar (total: 2.7s)

sample36.0ms

Algorithm
intervals
Results
10.0ms305×body80nan
9.0ms330×body80valid

simplify100.0ms

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: 24.9b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
1.2b
(- (* y y) (* z z))
24.7b
(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)))

series173.0ms

Counts
3 → 9
Calls
3 calls:
84.0ms
(* x (sqrt (- (* y y) (* z z))))
34.0ms
(- (* y y) (* z z))
55.0ms
(sqrt (- (* y y) (* z z)))

simplify99.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (91.0ms)

IterNodesCost
0202397
1786374
23192368
35001364

prune184.0ms

Filtered
71 candidates to 54 candidates (76.1%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New66571
Fresh000
Picked101
Done000
Total67572

Merged error: 0.2b

Counts
72 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (sqrt (* (+ y z) (- y z))))
24.7b
(sqrt (* (+ y z) (- y z)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
16×sqrt-div
12×associate-*r/
8×frac-times
7×pow1
6×add-sqr-sqrt flip3-- flip3-+ flip-- flip-+
4×add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l/ add-cbrt-cube
3×associate-*l*
2×expm1-log1p-u sqrt-pow1 pow-prod-down sqrt-prod log1p-expm1-u add-log-exp
1×pow1/2 prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 50
Calls
2 calls:
12.0ms
(* x (sqrt (* (+ y z) (- y z))))
11.0ms
(sqrt (* (+ y z) (- y z)))

series386.0ms

Counts
2 → 6
Calls
2 calls:
94.0ms
(* x (sqrt (* (+ y z) (- y z))))
291.0ms
(sqrt (* (+ y z) (- y z)))

simplify110.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0214364
1916351
23918351
35001351

prune143.0ms

Filtered
56 candidates to 45 candidates (80.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New55156
Fresh134
Picked011
Done000
Total56561

Merged error: 0.2b

Counts
61 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (sqrt (sqrt (* (+ y z) (- y z)))))
0.4b
(* (* x (sqrt (sqrt (* (+ y z) (- y z))))) (sqrt (sqrt (* (+ y z) (- y z)))))
24.7b
(sqrt (* (+ y z) (- y z)))
24.7b
(sqrt (* (+ y z) (- y z)))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
320×sqrt-div
148×frac-times
130×associate-*r/
63×flip3-- flip3-+ flip-- flip-+
50×associate-*l/
17×pow1
14×associate-*r*
13×add-sqr-sqrt sqrt-prod
11×add-exp-log add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity
6×pow-prod-down
4×expm1-log1p-u sqrt-pow1 associate-*l* prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×pow1/2 *-commutative unswap-sqr
Counts
4 → 179
Calls
4 calls:
14.0ms
(* x (sqrt (sqrt (* (+ y z) (- y z)))))
25.0ms
(* (* x (sqrt (sqrt (* (+ y z) (- y z))))) (sqrt (sqrt (* (+ y z) (- y z)))))
14.0ms
(sqrt (* (+ y z) (- y z)))
11.0ms
(sqrt (* (+ y z) (- y z)))

series379.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(* x (sqrt (sqrt (* (+ y z) (- y z)))))
99.0ms
(* (* x (sqrt (sqrt (* (+ y z) (- y z))))) (sqrt (sqrt (* (+ y z) (- y z)))))
64.0ms
(sqrt (* (+ y z) (- y z)))
67.0ms
(sqrt (* (+ y z) (- y z)))

simplify114.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
07523198
127653021
250013016

prune593.0ms

Filtered
191 candidates to 133 candidates (69.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1910191
Fresh033
Picked011
Done011
Total1915196

Merged error: 0.2b

Counts
196 → 5

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

prune0.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done022
Total055

Merged error: 0.2b

Counts
5 → 5

regimes172.0ms

bsearch10.0ms