Details

Time bar (total: 1.2s)

sample51.0ms

Algorithm
intervals
Results
12.0ms347×body80nan
12.0ms327×body80valid

simplify103.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (101.0ms)

IterNodesCost
0611110

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 25.2b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
3.8b
(- (* y y) (* z z))
26.1b
(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)))

series30.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(* x (sqrt (- (* y y) (* z z))))
6.0ms
(- (* y y) (* z z))
7.0ms
(sqrt (- (* y y) (* z z)))

simplify29.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
04982613
14982613

prune79.0ms

Filtered
49 candidates to 63 candidates (-28.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New59463
Fresh000
Picked011
Done000
Total59564

Merged error: 0.1b

Counts
64 → 5

localize3.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify4.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune9.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New000
Fresh033
Picked011
Done011
Total055

Merged error: 0.1b

Counts
5 → 5

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

prune7.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done022
Total055

Merged error: 0.1b

Counts
5 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
26×sqrt-div
22×add-sqr-sqrt
18×sqrt-prod
15×*-un-lft-identity
13×pow1
12×associate-*r/
10×add-exp-log associate-*l* add-cbrt-cube
9×add-cube-cbrt associate-*r*
8×frac-times
7×flip3-- flip--
6×flip3-+ pow-prod-down flip-+
4×associate-*l/ prod-exp cbrt-unprod unswap-sqr
3×sqrt-pow1 pow1/2 add-log-exp
2×*-commutative distribute-lft-out-- difference-of-squares
1×rem-sqrt-square sqrt-unprod distribute-lft-out
Counts
3 → 84
Calls
3 calls:
11.0ms
(* x (* (sqrt (+ y z)) (sqrt (- y z))))
3.0ms
(sqrt (- y z))
10.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

series44.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(* x (* (sqrt (+ y z)) (sqrt (- y z))))
9.0ms
(sqrt (- y z))
12.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

simplify27.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
050091069

prune82.0ms

Filtered
67 candidates to 93 candidates (-38.8%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New91293
Fresh101
Picked101
Done033
Total93598

Merged error: 0.1b

Counts
98 → 5

regimes629.0ms

bsearch29.0ms

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