Details

analyze1.1s (20%)

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
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
0%	96.7%	3.3%	9
16.4%	74.9%	8.7%	10
17.6%	71.8%	10.7%	11
26.3%	59.5%	14.2%	12
30.7%	45.7%	23.5%	13
31.7%	43.5%	24.7%	14

sample44.0ms (0.8%)

Algorithm

1×

intervals

Results

18.0ms	256×	body	80	valid
11.0ms	159×	body	80	invalid

simplify447.0ms (8.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5645	29

prune13.0ms (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: 9.3b

Counts

2 → 2

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(* (* r (* w w)) (* (/ 0.125 (- 1.0 v)) (- (* 2.0 v) 3.0)))
0.4b	(/ 2.0 (* r r))
4.6b	(* r (* (* r (* w w)) (* (/ 0.125 (- 1.0 v)) (- (* 2.0 v) 3.0))))
11.5b	(* r (* w w))

rewrite63.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

97×	`add-exp-log` `add-cbrt-cube`
62×	`prod-exp` `cbrt-unprod`
59×	`pow1`
40×	`pow-prod-down`
19×	`associate-*r/`
16×	`distribute-rgt-in` `distribute-lft-in`
12×	`sub-neg`
9×	`add-sqr-sqrt`
8×	`cbrt-undiv` `add-cube-cbrt` `*-un-lft-identity` `div-exp`
7×	`associate-l`
4×	`frac-times` `flip3--` `flip--` `add-log-exp`
3×	`times-frac` `associate-r` `-commutative` `associate-/l`
2×	`associate-*l/`
1×	`frac-2neg` `clear-num` `associate-/r*` `div-inv` `unswap-sqr`

Counts

4 → 135

Calls

4 calls:

24.0ms	(* (* r (* w w)) (* (/ 0.125 (- 1.0 v)) (- (* 2.0 v) 3.0)))
20.0ms	(* r (* (* r (* w w)) (* (/ 0.125 (- 1.0 v)) (- (* 2.0 v) 3.0))))
7.0ms	(* r (* w w))
4.0ms	(/ 2.0 (* r r))

series63.0ms (1.2%)

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (* r (* w w)) (* (/ 0.125 (- 1.0 v)) (- (* 2.0 v) 3.0)))
23.0ms	(* r (* (* r (* w w)) (* (/ 0.125 (- 1.0 v)) (- (* 2.0 v) 3.0))))
14.0ms	(* r (* w w))
3.0ms	(/ 2.0 (* r r))

simplify43.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5154	2415

prune347.0ms (6.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	138	9	147
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	139	10	149

Merged error: 0.7b

Counts

149 → 10

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(* (* (* r w) w) (* (/ 0.125 (- 1.0 v)) (- (* 2.0 v) 3.0)))
0.2b	(* (* r w) w)
0.4b	(/ 2.0 (* r r))
4.6b	(* r (* (* (* r w) w) (* (/ 0.125 (- 1.0 v)) (- (* 2.0 v) 3.0))))

rewrite53.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

97×	`add-exp-log` `add-cbrt-cube`
62×	`prod-exp` `cbrt-unprod`
59×	`pow1`
40×	`pow-prod-down`
19×	`associate-*r/`
16×	`distribute-rgt-in` `distribute-lft-in`
12×	`sub-neg`
8×	`cbrt-undiv` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `div-exp`
5×	`associate-r` `associate-l`
4×	`frac-times` `flip3--` `flip--` `add-log-exp`
3×	`times-frac` `-commutative` `associate-/l`
2×	`associate-*l/`
1×	`frac-2neg` `clear-num` `associate-/r*` `div-inv`

Counts

4 → 134

Calls

4 calls:

20.0ms	(* r (* (* (* r w) w) (* (/ 0.125 (- 1.0 v)) (- (* 2.0 v) 3.0))))
18.0ms	(* (* (* r w) w) (* (/ 0.125 (- 1.0 v)) (- (* 2.0 v) 3.0)))
5.0ms	(* (* r w) w)
4.0ms	(/ 2.0 (* r r))

series55.0ms (1%)

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (* (* r w) w) (* (/ 0.125 (- 1.0 v)) (- (* 2.0 v) 3.0)))
22.0ms	(* r (* (* (* r w) w) (* (/ 0.125 (- 1.0 v)) (- (* 2.0 v) 3.0))))
6.0ms	(* (* r w) w)
3.0ms	(/ 2.0 (* r r))

simplify45.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5773	2384

prune344.0ms (6.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	142	4	146
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	147	9	156

Merged error: 0.5b

Counts

156 → 9

localize26.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt r)
0.5b	(cbrt r)
0.5b	(* (cbrt r) (cbrt r))
2.1b	(* (* (cbrt r) (cbrt r)) (* (* r w) (* (* w (* (/ 0.125 (- 1.0 v)) (- (* v 2.0) 3.0))) (cbrt r))))

rewrite46.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

131×	`add-exp-log`
104×	`pow1`
100×	`prod-exp` `cbrt-unprod`
91×	`add-cbrt-cube`
77×	`pow-prod-down`
22×	`cbrt-prod` `add-sqr-sqrt`
17×	`associate-*r/`
14×	`add-cube-cbrt` `*-un-lft-identity`
8×	`pow1/3`
7×	`associate-r` `associate-l`
6×	`swap-sqr` `associate-*l/`
4×	`cbrt-undiv` `div-exp` `add-log-exp` `unswap-sqr`
2×	`frac-times` `flip3--` `pow-sqr` `*-commutative` `pow-prod-up` `flip--`
1×	`pow2` `pow-plus`

Counts

4 → 139

Calls

4 calls:

29.0ms	(* (* (cbrt r) (cbrt r)) (* (* r w) (* (* w (* (/ 0.125 (- 1.0 v)) (- (* v 2.0) 3.0))) (cbrt r))))
6.0ms	(* (cbrt r) (cbrt r))
1.0ms	(cbrt r)
1.0ms	(cbrt r)

series99.0ms (1.8%)

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (* (cbrt r) (cbrt r)) (* (* r w) (* (* w (* (/ 0.125 (- 1.0 v)) (- (* v 2.0) 3.0))) (cbrt r))))
26.0ms	(* (cbrt r) (cbrt r))
22.0ms	(cbrt r)
21.0ms	(cbrt r)

simplify54.0ms (1%)

Algorithm

1×	egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4978	2006
1	4978	2006

prune325.0ms (6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	149	2	151
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	150	10	160

Merged error: 0.1b

Counts

160 → 10

localize28.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt r))
0.7b	(cbrt (* (cbrt r) (cbrt r)))
0.9b	(pow (cbrt (cbrt r)) 4)
2.1b	(* (* (cbrt (* (cbrt r) (cbrt r))) (pow (cbrt (cbrt r)) 4)) (* (* r w) (* (* w (* (/ 0.125 (- 1.0 v)) (- (* v 2.0) 3.0))) (cbrt r))))

rewrite50.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

255×	`add-exp-log`
209×	`prod-exp`
102×	`add-cbrt-cube`
99×	`cbrt-unprod`
47×	`pow1`
33×	`pow-prod-down`
19×	`cbrt-prod`
17×	`associate-*r/`
12×	`pow-to-exp` `pow-exp`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
8×	`div-exp`
6×	`associate-*l/`
4×	`cbrt-undiv` `add-log-exp`
3×	`pow-unpow` `pow1/3`
2×	`frac-times` `flip3--` `pow-pow` `flip--`
1×	`associate-r` `associate-l` `*-commutative` `sqr-pow`

Counts

4 → 137

Calls

4 calls:

29.0ms	(* (* (cbrt (* (cbrt r) (cbrt r))) (pow (cbrt (cbrt r)) 4)) (* (* r w) (* (* w (* (/ 0.125 (- 1.0 v)) (- (* v 2.0) 3.0))) (cbrt r))))
4.0ms	(cbrt (* (cbrt r) (cbrt r)))
4.0ms	(pow (cbrt (cbrt r)) 4)
2.0ms	(cbrt (cbrt r))

series131.0ms (2.4%)

Counts

4 → 12

Calls

4 calls:

40.0ms	(pow (cbrt (cbrt r)) 4)
36.0ms	(cbrt (* (cbrt r) (cbrt r)))
29.0ms	(cbrt (cbrt r))
25.0ms	(* (* (cbrt (* (cbrt r) (cbrt r))) (pow (cbrt (cbrt r)) 4)) (* (* r w) (* (* w (* (/ 0.125 (- 1.0 v)) (- (* v 2.0) 3.0))) (cbrt r))))

simplify45.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5074	3555

prune354.0ms (6.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	148	1	149
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	148	11	159

Merged error: 0.1b

Counts

159 → 11

regimes509.0ms (9.3%)

Accuracy

Total 1.9b remaining (93.3%)

Threshold costs 0b (0%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	60	36
1	60	36

end0.0ms (0%)

sample1.2s (21.1%)

Algorithm

1×

intervals

Results

540.0ms	8000×	body	80	valid
328.0ms	4862×	body	80	invalid

Details

analyze1.1s (20%)

sample44.0ms (0.8%)

simplify447.0ms (8.2%)

prune13.0ms (0.2%)

localize20.0ms (0.4%)

rewrite63.0ms (1.2%)

series63.0ms (1.2%)

simplify43.0ms (0.8%)

prune347.0ms (6.3%)

localize17.0ms (0.3%)

rewrite53.0ms (1%)

series55.0ms (1%)

simplify45.0ms (0.8%)

prune344.0ms (6.3%)

localize26.0ms (0.5%)

rewrite46.0ms (0.8%)

series99.0ms (1.8%)

simplify54.0ms (1%)

prune325.0ms (6%)

localize28.0ms (0.5%)

rewrite50.0ms (0.9%)

series131.0ms (2.4%)

simplify45.0ms (0.8%)

prune354.0ms (6.5%)

regimes509.0ms (9.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.2s (21.1%)

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