Details

analyze2.0s (21.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
0.8%	98.9%	0.3%	13
1.2%	98.5%	0.3%	14

sample41.0ms (0.4%)

Algorithm

1×

intervals

Results

22.0ms	256×	body	80	valid
3.0ms	31×	body	80	invalid

simplify73.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4914	37
1	4914	37

prune10.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 27.7b

Counts

2 → 1

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* z 3.13060547623) 11.1667541262) z)
0.1b	(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
2.9b	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
26.5b	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite66.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
15×	`add-exp-log` `add-cbrt-cube`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow1`
9×	`associate-r` `associate-l`
5×	`flip3-+` `flip-+`
4×	`associate-r/` `associate-l/` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`times-frac` `pow-prod-down` `associate-/r` `-commutative` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `associate-/r/` `associate-/l/`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 87

Calls

4 calls:

28.0ms	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))
15.0ms	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
13.0ms	(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
7.0ms	(* (+ (* z 3.13060547623) 11.1667541262) z)

series201.0ms (2.2%)

Counts

4 → 12

Calls

4 calls:

136.0ms	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))
48.0ms	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
11.0ms	(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
6.0ms	(* (+ (* z 3.13060547623) 11.1667541262) z)

simplify49.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4995	2131
1	4995	2131

prune284.0ms (3.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	92	7	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	7	100

Merged error: 0.0b

Counts

100 → 7

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(* z (+ (* z 3.13060547623) 11.1667541262))
0.1b	(* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a))
0.2b	(* y (/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))
24.4b	(/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

rewrite80.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `*-un-lft-identity`
21×	`associate-r`
19×	`times-frac`
15×	`add-exp-log` `add-cbrt-cube`
10×	`pow1`
9×	`associate-l`
5×	`flip3-+` `associate-*r/` `flip-+`
4×	`prod-exp` `associate-/r/` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `associate-/r` `-commutative` `associate-/l*`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `div-inv` `associate-/l/`
1×	`frac-2neg` `clear-num`

Counts

4 → 109

Calls

4 calls:

30.0ms	(* y (/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))
27.0ms	(/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))
13.0ms	(* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a))
7.0ms	(* z (+ (* z 3.13060547623) 11.1667541262))

series204.0ms (2.2%)

Counts

4 → 12

Calls

4 calls:

137.0ms	(* y (/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))
49.0ms	(/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))
11.0ms	(* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a))
6.0ms	(* z (+ (* z 3.13060547623) 11.1667541262))

simplify56.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4954	3425
1	4954	3425

prune352.0ms (3.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	121	7	128

Merged error: 0.0b

Counts

128 → 7

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(* z (+ (* z 3.13060547623) 11.1667541262))
0.1b	(* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a))
0.2b	(/ y (/ (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771) (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b)))
24.4b	(/ (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771) (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b))

rewrite81.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

90×	`times-frac`
64×	`add-sqr-sqrt`
60×	`add-cube-cbrt` `*-un-lft-identity`
18×	`associate-/r*`
15×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r/`
8×	`pow1` `flip3-+` `flip-+`
6×	`associate-r` `associate-l` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `associate-*r/` `div-exp` `add-log-exp`
2×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `associate-/l/` `unswap-sqr`

Counts

4 → 153

Calls

4 calls:

29.0ms	(/ (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771) (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b))
26.0ms	(/ y (/ (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771) (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b)))
13.0ms	(* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a))
7.0ms	(* z (+ (* z 3.13060547623) 11.1667541262))

series198.0ms (2.2%)

Counts

4 → 12

Calls

4 calls:

134.0ms	(/ y (/ (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771) (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b)))
46.0ms	(/ (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771) (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b))
11.0ms	(* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a))
6.0ms	(* z (+ (* z 3.13060547623) 11.1667541262))

simplify72.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5053	6584

prune541.0ms (6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	164	1	165
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	166	6	172

Merged error: 0.0b

Counts

172 → 6

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a))
0.1b	(/ 1 (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b))
2.2b	(/ y (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))
26.4b	(/ (/ y (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)) (/ 1 (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b)))

rewrite100.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

531×	`times-frac`
248×	`add-sqr-sqrt`
246×	`add-cube-cbrt` `*-un-lft-identity`
69×	`associate-/r/`
35×	`flip3-+` `flip-+` `div-inv`
34×	`add-exp-log`
22×	`add-cbrt-cube`
21×	`associate-/r` `associate-/l`
19×	`div-exp`
10×	`cbrt-undiv`
7×	`pow1`
4×	`add-log-exp`
3×	`rec-exp` `frac-2neg` `1-exp` `associate-r` `associate-l` `clear-num`
2×	`associate-*r/`
1×	`distribute-rgt-in` `pow-flip` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `associate-/l/` `inv-pow` `unswap-sqr`

Counts

4 → 363

Calls

4 calls:

38.0ms	(/ (/ y (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)) (/ 1 (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b)))
14.0ms	(/ 1 (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b))
13.0ms	(/ y (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))
13.0ms	(* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a))

series207.0ms (2.3%)

Counts

4 → 12

Calls

4 calls:

138.0ms	(/ (/ y (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)) (/ 1 (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b)))
35.0ms	(/ y (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))
23.0ms	(/ 1 (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b))
11.0ms	(* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a))

simplify145.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

375 → 375

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4977	22297
1	4977	22297

prune2.3s (25.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	375	0	375
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	375	6	381

Merged error: 0.0b

Counts

381 → 6

regimes731.0ms (8.1%)

Accuracy

Total 0.7b remaining (68.7%)

Threshold costs 0.7b (68.7%)

bsearch69.0ms (0.8%)

Steps

Iters	Range		Point
9	5.562023015448672e+28	7.72312990416633e+36	2.908464530270399e+32
9	-1.1171586568941818e+35	-8.669506640459273e+26	-6.132788843306378e+34

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	78	61
1	78	61

end0.0ms (0%)

sample1.1s (12%)

Algorithm

1×

intervals

Results

701.0ms	8000×	body	80	valid
76.0ms	882×	body	80	invalid

Details

analyze2.0s (21.9%)

sample41.0ms (0.4%)

simplify73.0ms (0.8%)

prune10.0ms (0.1%)

localize28.0ms (0.3%)

rewrite66.0ms (0.7%)

series201.0ms (2.2%)

simplify49.0ms (0.5%)

prune284.0ms (3.1%)

localize24.0ms (0.3%)

rewrite80.0ms (0.9%)

series204.0ms (2.2%)

simplify56.0ms (0.6%)

prune352.0ms (3.9%)

localize24.0ms (0.3%)

rewrite81.0ms (0.9%)

series198.0ms (2.2%)

simplify72.0ms (0.8%)

prune541.0ms (6%)

localize26.0ms (0.3%)

rewrite100.0ms (1.1%)

series207.0ms (2.3%)

simplify145.0ms (1.6%)

prune2.3s (25.8%)

regimes731.0ms (8.1%)

bsearch69.0ms (0.8%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.1s (12%)

Profiling