Details

Time bar (total: 1.5s)

sample41.0ms

Algorithm
intervals
Results
12.0ms333×body80valid
11.0ms335×body80nan

simplify79.0ms

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: 28.4b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
2.8b
(- (* y y) (* z z))
28.6b
(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))
3.0ms
(sqrt (- (* y y) (* z z)))

series147.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(* x (sqrt (- (* y y) (* z z))))
34.0ms
(- (* y y) (* z z))
44.0ms
(sqrt (- (* y y) (* z z)))

simplify84.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0187364
1732340
23010337
35002337

prune120.0ms

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

localize4.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify6.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune8.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New000
Fresh044
Picked011
Done000
Total055

Merged error: 0b

Counts
5 → 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

prune7.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New000
Fresh033
Picked011
Done011
Total055

Merged error: 0b

Counts
5 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (- y z))
0.1b
(* x (sqrt (+ y z)))
0.2b
(* (* x (sqrt (+ y z))) (sqrt (- y z)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×sqrt-div
15×*-un-lft-identity associate-*r* sqrt-prod
11×pow1
10×add-exp-log associate-*r/ add-cbrt-cube
9×add-cube-cbrt
4×frac-times flip3-- flip3-+ associate-*l* pow-prod-down prod-exp flip-- cbrt-unprod flip-+
3×add-log-exp
2×associate-*l/ *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
1×rem-sqrt-square sqrt-pow1 pow1/2 distribute-lft-out
Counts
3 → 73
Calls
3 calls:
3.0ms
(sqrt (- y z))
7.0ms
(* x (sqrt (+ y z)))
11.0ms
(* (* x (sqrt (+ y z))) (sqrt (- y z)))

series220.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(sqrt (- y z))
61.0ms
(* x (sqrt (+ y z)))
95.0ms
(* (* x (sqrt (+ y z))) (sqrt (- y z)))

simplify50.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0394540
11584492
25001476

prune157.0ms

Filtered
82 candidates to 57 candidates (69.5%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New82082
Fresh022
Picked011
Done022
Total82587

Merged error: 0b

Counts
87 → 5

regimes423.0ms

bsearch44.0ms