Details

analyze296.0ms (12.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
21.8%	78%	0.1%	7
26.5%	73.3%	0.1%	8
36.7%	63.2%	0.1%	9
41.3%	49.9%	8.7%	10
47.2%	43.3%	9.5%	11
54.4%	35.5%	10.1%	12
57.9%	27.4%	14.7%	13
61.7%	23.2%	15.1%	14

sample15.0ms (0.7%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	16×	body	80	invalid

simplify25.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	673	7
1	673	7

prune6.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) (- 1.0 z))

rewrite9.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`associate-r`
4×	`frac-times` `associate-l`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `flip3--` `flip3-+` `add-cbrt-cube` `flip--` `flip-+`
2×	`sub-neg` `associate-r/` `associate-l/`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 31

Calls

1 calls:

8.0ms

(* (+ x y) (- 1.0 z))

series8.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

8.0ms

(* (+ x y) (- 1.0 z))

simplify38.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5170	379

prune56.0ms (2.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	32	2	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	3	35

Merged error: 0b

Counts

35 → 3

localize11.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
0.2b	(cbrt (- 1.0 z))
0.2b	(cbrt (- 1.0 z))
0.2b	(cbrt (- 1.0 z))

rewrite22.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

10.0ms	(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
3.0ms	(cbrt (- 1.0 z))
3.0ms	(cbrt (- 1.0 z))
3.0ms	(cbrt (- 1.0 z))

series25.0ms (1.1%)

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
6.0ms	(cbrt (- 1.0 z))
6.0ms	(cbrt (- 1.0 z))
6.0ms	(cbrt (- 1.0 z))

simplify47.0ms (2%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4956	1133
1	4956	1133

prune248.0ms (10.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	113	3	116

Merged error: 0b

Counts

116 → 3

localize16.0ms (0.7%)

Local error

Found 4 expressions with local error:

1.2b	(* (- (pow 1.0 3) (pow z 3)) (- x y))
1.9b	(* (+ (* 1.0 1.0) (* z (+ 1.0 z))) (- x y))
2.1b	(* (+ x y) (* (- (pow 1.0 3) (pow z 3)) (- x y)))
31.9b	(/ (* (+ x y) (* (- (pow 1.0 3) (pow z 3)) (- x y))) (* (+ (* 1.0 1.0) (* z (+ 1.0 z))) (- x y)))

rewrite87.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Rules

68×	`frac-times`
48×	`flip3--` `flip--`
41×	`add-sqr-sqrt`
34×	`add-exp-log` `associate-*r/` `add-cbrt-cube`
32×	`associate-l`
26×	`associate-/l/`
25×	`*-un-lft-identity`
24×	`flip3-+` `flip-+`
22×	`associate-*l/`
18×	`difference-of-squares`
14×	`prod-exp` `cbrt-unprod`
13×	`pow1`
12×	`unpow-prod-down` `cube-prod`
11×	`associate-r`
9×	`add-cube-cbrt`
8×	`sub-neg` `associate-/r/` `sqr-pow`
7×	`distribute-lft-out--`
6×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp`
5×	`pow-prod-down`
4×	`add-log-exp`
3×	`*-commutative`
2×	`unswap-sqr`
1×	`difference-cubes` `frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `distribute-lft-out` `associate-/l`

Counts

4 → 190

Calls

4 calls:

29.0ms	(/ (* (+ x y) (* (- (pow 1.0 3) (pow z 3)) (- x y))) (* (+ (* 1.0 1.0) (* z (+ 1.0 z))) (- x y)))
22.0ms	(* (+ x y) (* (- (pow 1.0 3) (pow z 3)) (- x y)))
18.0ms	(* (- (pow 1.0 3) (pow z 3)) (- x y))
8.0ms	(* (+ (* 1.0 1.0) (* z (+ 1.0 z))) (- x y))

series96.0ms (4.1%)

Counts

4 → 12

Calls

4 calls:

47.0ms	(/ (* (+ x y) (* (- (pow 1.0 3) (pow z 3)) (- x y))) (* (+ (* 1.0 1.0) (* z (+ 1.0 z))) (- x y)))
29.0ms	(* (+ x y) (* (- (pow 1.0 3) (pow z 3)) (- x y)))
10.0ms	(* (+ (* 1.0 1.0) (* z (+ 1.0 z))) (- x y))
9.0ms	(* (- (pow 1.0 3) (pow z 3)) (- x y))

simplify42.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

202 → 202

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	4995	4461
1	4995	4461

prune602.0ms (26%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	202	0	202
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	202	3	205

Merged error: 0b

Counts

205 → 3

regimes260.0ms (11.2%)

Accuracy

Total 0.0b remaining (31.5%)

Threshold costs 0.0b (31.5%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	7
1	19	7

end0.0ms (0%)

sample395.0ms (17.1%)

Algorithm

1×

intervals

Results

199.0ms	7997×	body	80	valid
14.0ms	606×	body	80	invalid
0.0ms	3×	body	1280	valid

Details

analyze296.0ms (12.8%)

sample15.0ms (0.7%)

simplify25.0ms (1.1%)

prune6.0ms (0.2%)

localize5.0ms (0.2%)

rewrite9.0ms (0.4%)

series8.0ms (0.3%)

simplify38.0ms (1.6%)

prune56.0ms (2.4%)

localize11.0ms (0.5%)

rewrite22.0ms (0.9%)

series25.0ms (1.1%)

simplify47.0ms (2%)

prune248.0ms (10.7%)

localize16.0ms (0.7%)

rewrite87.0ms (3.8%)

series96.0ms (4.1%)

simplify42.0ms (1.8%)

prune602.0ms (26%)

regimes260.0ms (11.2%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample395.0ms (17.1%)

Profiling