Details

Time bar (total: 18.7s)

sample86.0ms

Algorithm
intervals
Results
21.0ms314×body80valid
20.0ms303×body80nan

simplify12.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11510
22210
33910
47110
516410
627510
751810
8191210
done500110

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.6b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
3.4b
(- (* y y) (* z z))
24.8b
(sqrt (- (* y y) (* z z)))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
sqrt-prod
add-cube-cbrt *-un-lft-identity associate-*r*
pow1
add-exp-log add-cbrt-cube add-log-exp
sqrt-div
expm1-log1p-u flip3-- associate-*l* flip-- log1p-expm1-u difference-of-squares
associate-*r/ unswap-sqr
sub-neg rem-sqrt-square sqrt-pow1 pow1/2 fma-neg diff-log prod-diff pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
3 → 62
Calls
3 calls:
46.0ms
(* x (sqrt (- (* y y) (* z z))))
19.0ms
(- (* y y) (* z z))
19.0ms
(sqrt (- (* y y) (* z z)))

series215.0ms

Counts
3 → 9
Calls
3 calls:
111.0ms
(* x (sqrt (- (* y y) (* z z))))
40.0ms
(- (* y y) (* z z))
65.0ms
(sqrt (- (* y y) (* z z)))

simplify1.2s

Counts
71 → 71
Iterations

Useful iterations: done (1.2s)

IterNodesCost
094839
1199758
2491676
31629676
done5002671

prune234.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

localize3.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune3.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.3b

localize4.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune2.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.3b

localize11.0ms

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)))

rewrite147.0ms

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
add-cube-cbrt associate-*r*
frac-times
flip3-- flip--
flip3-+ pow-prod-down flip-+
associate-*l/ prod-exp cbrt-unprod unswap-sqr
expm1-log1p-u sqrt-pow1 pow1/2 log1p-expm1-u add-log-exp
*-commutative distribute-lft-out-- difference-of-squares
rem-sqrt-square sqrt-unprod distribute-lft-out
Counts
3 → 90
Calls
3 calls:
81.0ms
(* x (* (sqrt (+ y z)) (sqrt (- y z))))
10.0ms
(sqrt (- y z))
51.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

series293.0ms

Counts
3 → 9
Calls
3 calls:
118.0ms
(* x (* (sqrt (+ y z)) (sqrt (- y z))))
80.0ms
(sqrt (- y z))
93.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

simplify3.6s

Counts
99 → 99
Iterations

Useful iterations: done (3.6s)

IterNodesCost
01601304
13671167
210541113
338291095
done50001090

prune270.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.3b

regimes378.0ms

bsearch43.0ms