Details

sample48.0ms

Algorithm

intervals

Results

18.0ms	332×	body	80	valid
13.0ms	278×	body	80	nan

simplify95.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	5
1	22	5
2	39	5
3	71	5
4	167	5
5	298	5
6	545	5
7	2142	5
8	5001	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.2b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (sqrt (- (* y y) (* z z))))
2.6b	(- (* y y) (* z z))
24.1b	(sqrt (- (* y y) (* z z)))

rewrite21.0ms

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×	`expm1-log1p-u` `flip3--` `associate-l` `flip--` `log1p-expm1-u` `difference-of-squares`
2×	`associate-*r/` `unswap-sqr`
1×	`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:

12.0ms	(* x (sqrt (- (* y y) (* z z))))
3.0ms	(- (* y y) (* z z))
5.0ms	(sqrt (- (* y y) (* z z)))

series173.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(* x (sqrt (- (* y y) (* z z))))
34.0ms	(- (* y y) (* z z))
54.0ms	(sqrt (- (* y y) (* z z)))

simplify89.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	202	397
1	786	374
2	3192	368
3	5001	364

prune174.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

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)

Iter	Nodes	Cost
0	0	0

prune4.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

28×	`sqrt-div`
27×	`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×	`expm1-log1p-u` `sqrt-pow1` `pow1/2` `associate-*l/` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`rem-sqrt-square` `*-commutative` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
1×	`sqrt-unprod` `hypot-def`

Counts

4 → 109

Calls

4 calls:

26.0ms	(* x (* (sqrt (+ y z)) (sqrt (- y z))))
5.0ms	(sqrt (- y z))
4.0ms	(sqrt (+ y z))
24.0ms	(* (sqrt (+ y z)) (sqrt (- y z)))

series291.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(* x (* (sqrt (+ y z)) (sqrt (- y z))))
68.0ms	(sqrt (- y z))
41.0ms	(sqrt (+ y z))
76.0ms	(* (sqrt (+ y z)) (sqrt (- y z)))

simplify52.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	374	767
1	1280	721
2	5001	705

prune305.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.2b

localize4.0ms

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)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.2b

Details

sample48.0ms

simplify95.0ms

prune2.0ms

localize7.0ms

rewrite21.0ms

series173.0ms

simplify89.0ms

prune174.0ms

localize2.0ms

rewrite0.0ms

series0.0ms

simplify3.0ms

prune4.0ms

localize9.0ms

rewrite63.0ms

series291.0ms

simplify52.0ms

prune305.0ms

localize4.0ms

rewrite0.0ms

series0.0ms

simplify3.0ms

prune0.0ms

regimes320.0ms

bsearch18.0ms