Details

Time bar (total: 2.2s)

sample50.0ms

Algorithm
intervals
Results
15.0ms327×body80valid
10.0ms322×body80nan

simplify76.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0145
1215
2365
3625
41335
52115
63975
717985
850015

prune4.0ms

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: 24.3b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
3.4b
(- (* y y) (* z z))
24.9b
(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:
6.0ms
(* x (sqrt (- (* y y) (* z z))))
3.0ms
(- (* y y) (* z z))
4.0ms
(sqrt (- (* y y) (* z z)))

series183.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(* x (sqrt (- (* y y) (* z z))))
37.0ms
(- (* y y) (* z z))
58.0ms
(sqrt (- (* y y) (* z z)))

simplify74.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0187364
1732340
23010337
35002337

prune159.0ms

Filtered
63 candidates to 46 candidates (27.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New60363
Fresh000
Picked011
Done000
Total60464

Merged error: 0.2b

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

prune7.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done011
Total044

Merged error: 0.2b

Counts
4 → 4

localize2.0ms

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

prune4.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done022
Total044

Merged error: 0.2b

Counts
4 → 4

localize10.0ms

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))
0.2b
(* (sqrt (+ y z)) (sqrt (- y z)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
28×sqrt-div
25×add-sqr-sqrt
22×sqrt-prod
19×*-un-lft-identity
15×pow1
12×associate-*r/
11×add-exp-log add-cube-cbrt add-cbrt-cube
10×associate-*l*
9×associate-*r*
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 unswap-sqr
2×rem-sqrt-square *-commutative distribute-lft-out distribute-lft-out-- difference-of-squares
1×sqrt-unprod
Counts
4 → 100
Calls
4 calls:
3.0ms
(sqrt (+ y z))
11.0ms
(* x (* (sqrt (+ y z)) (sqrt (- y z))))
3.0ms
(sqrt (- y z))
10.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

series461.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(sqrt (+ y z))
137.0ms
(* x (* (sqrt (+ y z)) (sqrt (- y z))))
165.0ms
(sqrt (- y z))
96.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

simplify43.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0358721
11303698
25001688

prune419.0ms

Filtered
112 candidates to 79 candidates (29.5%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1120112
Fresh000
Picked011
Done033
Total1124116

Merged error: 0.2b

Counts
116 → 4

regimes658.0ms

bsearch10.0ms

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