Details

Time bar (total: 2.1s)

sample36.0ms

Algorithm
intervals
Results
11.0ms323×body80valid
10.0ms312×body80nan

simplify87.0ms

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: 24.3b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
2.0b
(- (* y y) (* z z))
24.7b
(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)))

series152.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(* x (sqrt (- (* y y) (* z z))))
30.0ms
(- (* y y) (* z z))
47.0ms
(sqrt (- (* y y) (* z z)))

simplify76.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0187364
1732340
23010337
35002337

prune154.0ms

Filtered
63 candidates to 46 candidates (73.0%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New58563
Fresh000
Picked101
Done000
Total59564

Merged error: 0b

Counts
64 → 5

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

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×sqrt-pow1 pow-prod-down sqrt-prod add-log-exp
1×pow1/2 prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 46
Calls
2 calls:
21.0ms
(* x (sqrt (* (+ y z) (- y z))))
11.0ms
(sqrt (* (+ y z) (- y z)))

series139.0ms

Counts
2 → 6
Calls
2 calls:
85.0ms
(* x (sqrt (* (+ y z) (- y z))))
54.0ms
(sqrt (* (+ y z) (- y z)))

simplify81.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0204342
1891329
23716329
35001329

prune186.0ms

Filtered
52 candidates to 42 candidates (80.8%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New52052
Fresh044
Picked011
Done000
Total52557

Merged error: 0b

Counts
57 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
2.0b
(- (* y y) (* z z))
24.7b
(sqrt (- (* y y) (* z z)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×cbrt-prod add-log-exp
5×pow1
4×add-exp-log sqrt-prod add-cbrt-cube
2×flip3-- pow1/3 sqrt-div flip-- difference-of-squares
1×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 diff-log
Counts
4 → 51
Calls
4 calls:
2.0ms
(cbrt x)
2.0ms
(cbrt x)
6.0ms
(- (* y y) (* z z))
6.0ms
(sqrt (- (* y y) (* z z)))

series462.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt x)
182.0ms
(cbrt x)
30.0ms
(- (* y y) (* z z))
73.0ms
(sqrt (- (* y y) (* z z)))

simplify52.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 3 (47.0ms)

IterNodesCost
0157267
1509247
21683243
35003242

prune145.0ms

Filtered
63 candidates to 51 candidates (81.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New63063
Fresh033
Picked011
Done011
Total63568

Merged error: 0b

Counts
68 → 5

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

prune0.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done022
Total055

Merged error: 0b

Counts
5 → 5

regimes370.0ms

bsearch13.0ms