Details

Time bar (total: 1.6s)

sample33.0ms

Algorithm
intervals
Results
8.0ms326×body80valid
8.0ms333×body80nan

simplify88.0ms

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 (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 26.0b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
2.2b
(- (* y y) (* z z))
25.2b
(sqrt (- (* y y) (* z z)))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
162×add-sqr-sqrt
75×difference-of-squares
67×sqrt-prod
43×*-un-lft-identity
36×swap-sqr associate-*r*
32×unswap-sqr
31×*-commutative
15×associate-*l* distribute-lft-out--
7×add-cube-cbrt
6×pow1
5×add-exp-log add-cbrt-cube add-log-exp
4×sqrt-div
3×flip3-- flip--
2×associate-*r/
1×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 diff-log pow-prod-down prod-exp cbrt-unprod
Counts
3 → 141
Calls
3 calls:
26.0ms
(* x (sqrt (- (* y y) (* z z))))
16.0ms
(- (* y y) (* z z))
21.0ms
(sqrt (- (* y y) (* z z)))

series164.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(* x (sqrt (- (* y y) (* z z))))
32.0ms
(- (* y y) (* z z))
53.0ms
(sqrt (- (* y y) (* z z)))

simplify113.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0263701
1902677
23920677
35001677

prune139.0ms

Filtered
150 candidates to 61 candidates (59.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1473150
Fresh000
Picked011
Done000
Total1474151

Merged error: 0.0b

Counts
151 → 4

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 (1.0ms)

IterNodesCost
000

prune4.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done011
Total044

Merged error: 0.0b

Counts
4 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ y z))
0.0b
(* x (* (sqrt (+ y z)) (sqrt (- y z))))
0.0b
(sqrt (- y z))
0.3b
(* (sqrt (+ y z)) (sqrt (- y z)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×associate-*r*
39×sqrt-prod
28×*-un-lft-identity sqrt-div
17×associate-*l* unswap-sqr
16×add-cube-cbrt
15×pow1
12×associate-*r/
11×add-exp-log add-cbrt-cube
8×frac-times
7×flip3-- flip3-+ flip-- flip-+
6×pow-prod-down
4×sqrt-pow1 pow1/2 associate-*l/ prod-exp cbrt-unprod add-log-exp
3×*-commutative distribute-lft-out distribute-lft-out-- difference-of-squares
2×rem-sqrt-square
1×sqrt-unprod
Counts
4 → 128
Calls
4 calls:
3.0ms
(sqrt (+ y z))
18.0ms
(* x (* (sqrt (+ y z)) (sqrt (- y z))))
3.0ms
(sqrt (- y z))
13.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

series291.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(sqrt (+ y z))
101.0ms
(* x (* (sqrt (+ y z)) (sqrt (- y z))))
78.0ms
(sqrt (- y z))
75.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

simplify57.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0399950
11643908
25001889

prune221.0ms

Filtered
140 candidates to 92 candidates (34.3%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1391140
Fresh011
Picked011
Done022
Total1395144

Merged error: 0b

Counts
144 → 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 (1 fresh and 4 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done033
Total055

Merged error: 0b

Counts
5 → 5

regimes348.0ms

bsearch15.0ms