Details

Time bar (total: 1.3s)

sample32.0ms

Algorithm
intervals
Results
9.0ms332×body80valid
7.0ms310×body80nan

simplify75.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0145
1215
2365
3625
41335
52115
63975
717985
850015

prune2.0ms

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: 23.5b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
3.4b
(- (* y y) (* z z))
22.9b
(sqrt (- (* y y) (* z z)))

rewrite15.0ms

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×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 → 54
Calls
3 calls:
7.0ms
(* x (sqrt (- (* y y) (* z z))))
3.0ms
(- (* y y) (* z z))
4.0ms
(sqrt (- (* y y) (* z z)))

series146.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(* x (sqrt (- (* y y) (* z z))))
34.0ms
(- (* y y) (* z z))
43.0ms
(sqrt (- (* y y) (* z z)))

simplify77.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0187364
1732340
23010337
35002337

prune113.0ms

Filtered
63 candidates to 46 candidates (73.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New60363
Fresh000
Picked011
Done000
Total60464

Merged error: 0.3b

Counts
64 → 4

localize3.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune3.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done011
Total044

Merged error: 0.3b

Counts
4 → 4

localize182.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune2.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done022
Total044

Merged error: 0.3b

Counts
4 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (sqrt (+ y z)))
0.1b
(* (* x (sqrt (+ y z))) (sqrt (- y z)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
15×associate-*r*
14×sqrt-div
13×add-sqr-sqrt
11×*-un-lft-identity
10×associate-*r/ sqrt-prod
9×pow1 add-exp-log add-cbrt-cube
7×add-cube-cbrt
4×frac-times flip3-+ associate-*l* pow-prod-down prod-exp cbrt-unprod flip-+
3×flip3-- flip--
2×associate-*l/ *-commutative add-log-exp unswap-sqr
1×distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
2 → 56
Calls
2 calls:
7.0ms
(* x (sqrt (+ y z)))
12.0ms
(* (* x (sqrt (+ y z))) (sqrt (- y z)))

series157.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(* x (sqrt (+ y z)))
96.0ms
(* (* x (sqrt (+ y z))) (sqrt (- y z)))

simplify43.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0341443
11456403
25001390

prune119.0ms

Filtered
62 candidates to 42 candidates (67.7%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New61162
Fresh000
Picked011
Done033
Total61566

Merged error: 0.3b

Counts
66 → 5

regimes286.0ms

bsearch9.0ms