Details

Time bar (total: 1.7s)

sample38.0ms

Algorithm
intervals
Results
12.0ms307×body80valid
10.0ms304×body80nan

simplify76.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 23.7b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
3.0b
(- (* y y) (* z z))
24.6b
(sqrt (- (* y y) (* z z)))

rewrite14.0ms

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:
6.0ms
(* x (sqrt (- (* y y) (* z z))))
3.0ms
(- (* y y) (* z z))
3.0ms
(sqrt (- (* y y) (* z z)))

series149.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(* x (sqrt (- (* y y) (* z z))))
30.0ms
(- (* y y) (* z z))
47.0ms
(sqrt (- (* y y) (* z z)))

simplify74.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0187364
1732340
23010337
35002337

prune115.0ms

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: 0.0b

Counts
64 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ y z) (- y z))
0.0b
(* x (sqrt (* (+ y z) (- y z))))
24.6b
(sqrt (* (+ y z) (- y z)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
16×sqrt-div
14×associate-*r/
13×add-sqr-sqrt
12×frac-times
11×*-un-lft-identity
10×pow1
9×flip3-- flip3-+ associate-*r* flip-- flip-+
7×add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
6×associate-*l/
3×pow-prod-down add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in sqrt-pow1 prod-exp sqrt-prod *-commutative cbrt-unprod unswap-sqr
1×pow1/2 distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
3 → 79
Calls
3 calls:
8.0ms
(* (+ y z) (- y z))
10.0ms
(* x (sqrt (* (+ y z) (- y z))))
6.0ms
(sqrt (* (+ y z) (- y z)))

series185.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(* (+ y z) (- y z))
85.0ms
(* x (sqrt (* (+ y z) (- y z))))
59.0ms
(sqrt (* (+ y z) (- y z)))

simplify48.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0300543
11444516
25002514

prune167.0ms

Filtered
88 candidates to 66 candidates (75.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New88088
Fresh044
Picked011
Done000
Total88593

Merged error: 0.0b

Counts
93 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

3.0b
(- (* y y) (* z z))
3.0b
(- (* y y) (* z z))
25.4b
(cbrt (- (* y y) (* z z)))
25.4b
(cbrt (- (* y y) (* z z)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
8×cbrt-prod add-log-exp
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log cbrt-div flip3-- add-cbrt-cube flip-- difference-of-squares
2×sub-neg pow1/3 diff-log
Counts
4 → 54
Calls
4 calls:
3.0ms
(- (* y y) (* z z))
3.0ms
(- (* y y) (* z z))
3.0ms
(cbrt (- (* y y) (* z z)))
3.0ms
(cbrt (- (* y y) (* z z)))

series277.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(- (* y y) (* z z))
31.0ms
(- (* y y) (* z z))
105.0ms
(cbrt (- (* y y) (* z z)))
107.0ms
(cbrt (- (* y y) (* z z)))

simplify55.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0160434
1521394
21669390
35001390

prune187.0ms

Filtered
66 candidates to 54 candidates (81.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New66066
Fresh033
Picked011
Done011
Total66571

Merged error: 0.0b

Counts
71 → 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: 0.0b

Counts
5 → 5

regimes239.0ms

bsearch9.0ms