Details

analyze859.0ms (25.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
12.5%	87.3%	0.2%	8
18.7%	81.1%	0.2%	9
22.6%	77.2%	0.2%	10
25%	74.9%	0.2%	11
39.4%	60.4%	0.2%	12
46.5%	53.2%	0.3%	13
48%	51.4%	0.6%	14

sample23.0ms (0.7%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	80	valid
1.0ms	19×	body	80	invalid

simplify78.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	1218	9
1	1218	9

prune12.0ms (0.3%)

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: 5.1b

Counts

2 → 2

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 2.0 (-.f64 y t))
0.2b	(/.f64 (/.f64 2.0 (-.f64 y t)) z)
5.5b	(*.f64 x (/.f64 (/.f64 2.0 (-.f64 y t)) z))

rewrite56.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

249×	`times-frac_binary64`
180×	`add-sqr-sqrt_binary64`
171×	`*-un-lft-identity_binary64`
121×	`add-cube-cbrt_binary64`
67×	`associate-r_binary64`
25×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
24×	`associate-/l*_binary64`
19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`associate-/r/_binary64`
10×	`div-inv_binary64`
8×	`associate-/r*_binary64` `flip3--_binary64` `flip--_binary64`
7×	`cbrt-undiv_binary64` `div-exp_binary64`
5×	`pow1_binary64`
3×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `associate-r/_binary64` `-commutative_binary64`

Counts

3 → 228

Calls

3 calls:

26.0ms	(*.f64 x (/.f64 (/.f64 2.0 (-.f64 y t)) z))
10.0ms	(/.f64 (/.f64 2.0 (-.f64 y t)) z)
6.0ms	(/.f64 2.0 (-.f64 y t))

series42.0ms (1.3%)

Counts

3 → 9

Calls

3 calls:

21.0ms	(*.f64 x (/.f64 (/.f64 2.0 (-.f64 y t)) z))
15.0ms	(/.f64 (/.f64 2.0 (-.f64 y t)) z)
7.0ms	(/.f64 2.0 (-.f64 y t))

simplify56.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

237 → 237

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5059	2846

prune330.0ms (9.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	228	9	237
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	228	11	239

Merged error: 0b

Counts

239 → 11

localize18.0ms (0.5%)

Local error

Found 4 expressions with local error:

1.0b	(cbrt.f64 2.0)
1.0b	(cbrt.f64 2.0)
1.0b	(cbrt.f64 2.0)
2.7b	(.f64 x (/.f64 (/.f64 (.f64 (cbrt.f64 2.0) (cbrt.f64 2.0)) (.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))) (.f64 (cbrt.f64 z) (cbrt.f64 z))))

rewrite34.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

57×	`add-exp-log_binary64`
31×	`add-cbrt-cube_binary64`
24×	`cbrt-unprod_binary64` `prod-exp_binary64`
18×	`cbrt-undiv_binary64` `div-exp_binary64`
17×	`associate-r_binary64` `times-frac_binary64`
15×	`add-sqr-sqrt_binary64`
12×	`cbrt-div_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`cbrt-prod_binary64`
8×	`associate-/r/_binary64`
6×	`pow1_binary64` `flip3--_binary64` `flip--_binary64`
4×	`add-log-exp_binary64` `frac-times_binary64`
3×	`associate-r/_binary64` `pow1/3_binary64` `associate-l*_binary64` `unswap-sqr_binary64`
2×	`div-inv_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `*-commutative_binary64`

Counts

4 → 88

Calls

4 calls:

26.0ms	(.f64 x (/.f64 (/.f64 (.f64 (cbrt.f64 2.0) (cbrt.f64 2.0)) (.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))) (.f64 (cbrt.f64 z) (cbrt.f64 z))))
1.0ms	(cbrt.f64 2.0)
1.0ms	(cbrt.f64 2.0)
1.0ms	(cbrt.f64 2.0)

series89.0ms (2.6%)

Counts

4 → 6

Calls

4 calls:

89.0ms	(.f64 x (/.f64 (/.f64 (.f64 (cbrt.f64 2.0) (cbrt.f64 2.0)) (.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))) (.f64 (cbrt.f64 z) (cbrt.f64 z))))
0.0ms	(cbrt.f64 2.0)
0.0ms	(cbrt.f64 2.0)
0.0ms	(cbrt.f64 2.0)

simplify70.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5304	1259

prune167.0ms (4.9%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	94	11	105

Merged error: 0b

Counts

105 → 11

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 2.0 (-.f64 y t))
0.2b	(*.f64 x (/.f64 2.0 (-.f64 y t)))
5.0b	(/.f64 (*.f64 x (/.f64 2.0 (-.f64 y t))) z)

rewrite31.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`add-sqr-sqrt_binary64`
39×	`*-un-lft-identity_binary64`
34×	`times-frac_binary64`
25×	`add-cube-cbrt_binary64`
21×	`associate-r_binary64`
19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-/r*_binary64`
7×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
6×	`cbrt-undiv_binary64` `div-exp_binary64`
5×	`pow1_binary64`
4×	`cbrt-unprod_binary64` `associate-/r/_binary64` `prod-exp_binary64` `associate-/l*_binary64`
3×	`add-log-exp_binary64` `associate-l_binary64` `div-inv_binary64`
2×	`flip3--_binary64` `associate-*r/_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `*-commutative_binary64`

Counts

3 → 101

Calls

3 calls:

11.0ms	(*.f64 x (/.f64 2.0 (-.f64 y t)))
10.0ms	(/.f64 (*.f64 x (/.f64 2.0 (-.f64 y t))) z)
6.0ms	(/.f64 2.0 (-.f64 y t))

series38.0ms (1.1%)

Counts

3 → 9

Calls

3 calls:

21.0ms	(/.f64 (*.f64 x (/.f64 2.0 (-.f64 y t))) z)
10.0ms	(*.f64 x (/.f64 2.0 (-.f64 y t)))
7.0ms	(/.f64 2.0 (-.f64 y t))

simplify56.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4977	935
1	4977	935

prune146.0ms (4.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	106	4	110
Fresh	5	3	8
Picked	1	0	1
Done	1	1	2
Total	113	8	121

Merged error: 0b

Counts

121 → 8

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (*.f64 x 2.0) (-.f64 y t))
5.0b	(/.f64 (/.f64 (*.f64 x 2.0) (-.f64 y t)) z)

rewrite21.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`times-frac_binary64`
36×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
24×	`add-cube-cbrt_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`associate-/l*_binary64`
10×	`associate-/r/_binary64`
8×	`associate-/r*_binary64`
7×	`cbrt-undiv_binary64` `div-exp_binary64`
6×	`difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64`
5×	`flip3--_binary64` `flip--_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `cbrt-unprod_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64`
1×	`associate-/l/_binary64`

Counts

2 → 91

Calls

2 calls:

10.0ms	(/.f64 (/.f64 (*.f64 x 2.0) (-.f64 y t)) z)
7.0ms	(/.f64 (*.f64 x 2.0) (-.f64 y t))

series31.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

21.0ms	(/.f64 (/.f64 (*.f64 x 2.0) (-.f64 y t)) z)
10.0ms	(/.f64 (*.f64 x 2.0) (-.f64 y t))

simplify42.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5529	1159

prune96.0ms (2.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	97	8	105

Merged error: 0b

Counts

105 → 8

regimes503.0ms (14.9%)

Accuracy

Total 3.4b remaining (99.3%)

Threshold costs 0b (0%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	48
1	41	48

end0.0ms (0%)

sample546.0ms (16.2%)

Algorithm

1×

intervals

Results

300.0ms	8000×	body	80	valid
26.0ms	661×	body	80	invalid

Details

analyze859.0ms (25.5%)

sample23.0ms (0.7%)

simplify78.0ms (2.3%)

prune12.0ms (0.3%)

localize7.0ms (0.2%)

rewrite56.0ms (1.7%)

series42.0ms (1.3%)

simplify56.0ms (1.7%)

prune330.0ms (9.8%)

localize18.0ms (0.5%)

rewrite34.0ms (1%)

series89.0ms (2.6%)

simplify70.0ms (2.1%)

prune167.0ms (4.9%)

localize10.0ms (0.3%)

rewrite31.0ms (0.9%)

series38.0ms (1.1%)

simplify56.0ms (1.7%)

prune146.0ms (4.3%)

localize7.0ms (0.2%)

rewrite21.0ms (0.6%)

series31.0ms (0.9%)

simplify42.0ms (1.3%)

prune96.0ms (2.9%)

regimes503.0ms (14.9%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample546.0ms (16.2%)

Profiling