Details

Time bar (total: 1.8s)

sample55.0ms

Algorithm
intervals
Results
18.0ms362×body80nan
17.0ms332×body80valid

simplify76.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0145
1215
2365
3625
41335
52115
63975
717985
850015

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.2b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
3.6b
(- (* y y) (* z z))
29.8b
(sqrt (- (* y y) (* z z)))

rewrite21.0ms

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
flip3-- associate-*l* flip-- difference-of-squares
associate-*r/ unswap-sqr
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:
14.0ms
(* x (sqrt (- (* y y) (* z z))))
2.0ms
(- (* y y) (* z z))
4.0ms
(sqrt (- (* y y) (* z z)))

series32.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(* x (sqrt (- (* y y) (* z z))))
6.0ms
(- (* y y) (* z z))
7.0ms
(sqrt (- (* y y) (* z z)))

simplify73.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0187364
1732340
23010337
35002337

prune336.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

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

prune9.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

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

prune6.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

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)))

rewrite42.0ms

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
add-cube-cbrt
frac-times flip3-- flip3-+ associate-*l* pow-prod-down prod-exp flip-- cbrt-unprod flip-+
add-log-exp
associate-*l/ *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
rem-sqrt-square sqrt-pow1 pow1/2 distribute-lft-out
Counts
3 → 73
Calls
3 calls:
4.0ms
(sqrt (- y z))
11.0ms
(* x (sqrt (+ y z)))
24.0ms
(* (* x (sqrt (+ y z))) (sqrt (- y z)))

series42.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(sqrt (- y z))
12.0ms
(* x (sqrt (+ y z)))
22.0ms
(* (* x (sqrt (+ y z))) (sqrt (- y z)))

simplify45.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0394541
11584492
25001476

prune444.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes606.0ms

bsearch10.0ms