Details

analyze653.0ms (9.5%)

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

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample23.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	22×	body	128	invalid

Compiler

Compiled 23 to 25 computations (-8.7% saved)

simplify218.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	1166	13
1	1166	13

prune4.0ms (0.1%)

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: 4.9b

Counts

2 → 2

Compiler

Compiled 29 to 28 computations (3.4% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 2 (-.f64 y t))
0.2b	(/.f64 (/.f64 2 (-.f64 y t)) z)
5.1b	(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))

rewrite72.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

249×	`times-frac_binary64_15248`
180×	`add-sqr-sqrt_binary64_15263`
171×	`*-un-lft-identity_binary64_15242`
121×	`add-cube-cbrt_binary64_15274`
67×	`associate-r_binary64_15184`
25×	`distribute-lft-out--_binary64_15196` `difference-of-squares_binary64_15211`
24×	`associate-/l*_binary64_15189`
19×	`add-exp-log_binary64_15277` `add-cbrt-cube_binary64_15275`
16×	`associate-/r/_binary64_15190`
10×	`div-inv_binary64_15239`
8×	`flip3--_binary64_15246` `associate-/r*_binary64_15188` `flip--_binary64_15217`
7×	`cbrt-undiv_binary64_15273` `div-exp_binary64_15290`
5×	`pow1_binary64_15300`
3×	`associate-l_binary64_15185` `cbrt-unprod_binary64_15272` `add-log-exp_binary64_15278` `unswap-sqr_binary64_15210` `prod-exp_binary64_15288`
2×	`frac-2neg_binary64_15253` `clear-num_binary64_15241`
1×	`associate-/l/_binary64_15191` `-commutative_binary64_15175` `associate-r/_binary64_15186` `pow-prod-down_binary64_15310`

Counts

3 → 228

Calls

3 calls:

29.0ms	(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))
11.0ms	(/.f64 (/.f64 2 (-.f64 y t)) z)
6.0ms	(/.f64 2 (-.f64 y t))

series319.0ms (4.6%)

Counts

3 → 9

Calls

3 calls:

159.0ms	(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))
111.0ms	(/.f64 (/.f64 2 (-.f64 y t)) z)
49.0ms	(/.f64 2 (-.f64 y t))

simplify83.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

237 → 237

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4955	4396
1	4955	4396

prune247.0ms (3.6%)

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: 0.0b

Counts

239 → 11

Compiler

Compiled 4498 to 2100 computations (53.3% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.0b	(cbrt.f64 2)
1.0b	(cbrt.f64 2)
1.0b	(cbrt.f64 2)
2.9b	(.f64 x (/.f64 (/.f64 (.f64 (cbrt.f64 2) (cbrt.f64 2)) (.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))) (.f64 (cbrt.f64 z) (cbrt.f64 z))))

rewrite49.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

57×	`add-exp-log_binary64_15277`
31×	`add-cbrt-cube_binary64_15275`
24×	`cbrt-unprod_binary64_15272` `prod-exp_binary64_15288`
18×	`cbrt-undiv_binary64_15273` `div-exp_binary64_15290`
17×	`times-frac_binary64_15248` `associate-r_binary64_15184`
15×	`add-sqr-sqrt_binary64_15263`
12×	`cbrt-div_binary64_15271`
10×	`*-un-lft-identity_binary64_15242` `add-cube-cbrt_binary64_15274`
9×	`cbrt-prod_binary64_15270`
8×	`associate-/r/_binary64_15190`
6×	`flip3--_binary64_15246` `pow1_binary64_15300` `flip--_binary64_15217`
4×	`add-log-exp_binary64_15278` `frac-times_binary64_15252`
3×	`pow1/3_binary64_15321` `associate-l_binary64_15185` `associate-*r/_binary64_15186` `unswap-sqr_binary64_15210`
2×	`div-inv_binary64_15239` `associate-*l/_binary64_15187`
1×	`*-commutative_binary64_15175` `pow-prod-down_binary64_15310`

Counts

4 → 88

Calls

4 calls:

29.0ms	(.f64 x (/.f64 (/.f64 (.f64 (cbrt.f64 2) (cbrt.f64 2)) (.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))) (.f64 (cbrt.f64 z) (cbrt.f64 z))))
4.0ms	(cbrt.f64 2)
1.0ms	(cbrt.f64 2)
1.0ms	(cbrt.f64 2)

series491.0ms (7.1%)

Counts

4 → 6

Calls

4 calls:

491.0ms	(.f64 x (/.f64 (/.f64 (.f64 (cbrt.f64 2) (cbrt.f64 2)) (.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))) (.f64 (cbrt.f64 z) (cbrt.f64 z))))
0.0ms	(cbrt.f64 2)
0.0ms	(cbrt.f64 2)
0.0ms	(cbrt.f64 2)

simplify98.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4965	2079
1	4965	2079

prune149.0ms (2.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	93	1	94
Fresh	1	8	9
Picked	1	0	1
Done	0	1	1
Total	95	10	105

Merged error: 0.0b

Counts

105 → 10

Compiler

Compiled 3675 to 1686 computations (54.1% saved)

localize25.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 z)
1.0b	(cbrt.f64 2)
1.0b	(cbrt.f64 2)
2.9b	(.f64 x (/.f64 (/.f64 (.f64 (cbrt.f64 2) (pow.f64 2 1/3)) (.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))) (.f64 (cbrt.f64 z) (cbrt.f64 z))))

rewrite50.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

101×	`add-exp-log_binary64_15277`
48×	`prod-exp_binary64_15288`
43×	`add-cbrt-cube_binary64_15275`
36×	`cbrt-unprod_binary64_15272`
34×	`div-exp_binary64_15290`
26×	`cbrt-undiv_binary64_15273`
17×	`associate-r_binary64_15184`
15×	`times-frac_binary64_15248`
14×	`add-sqr-sqrt_binary64_15263`
12×	`cbrt-div_binary64_15271`
10×	`*-un-lft-identity_binary64_15242` `add-cube-cbrt_binary64_15274`
9×	`cbrt-prod_binary64_15270`
8×	`associate-/r/_binary64_15190`
6×	`flip3--_binary64_15246` `pow1_binary64_15300` `flip--_binary64_15217`
4×	`pow-to-exp_binary64_15308` `pow-exp_binary64_15307` `unpow1/3_binary64_15306` `add-log-exp_binary64_15278` `frac-times_binary64_15252`
3×	`pow1/3_binary64_15321` `associate-l_binary64_15185` `associate-*r/_binary64_15186`
2×	`div-inv_binary64_15239` `associate-*l/_binary64_15187` `unswap-sqr_binary64_15210`
1×	`*-commutative_binary64_15175` `pow-prod-down_binary64_15310`

Counts

4 → 99

Calls

4 calls:

29.0ms	(.f64 x (/.f64 (/.f64 (.f64 (cbrt.f64 2) (pow.f64 2 1/3)) (.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))) (.f64 (cbrt.f64 z) (cbrt.f64 z))))
1.0ms	(cbrt.f64 2)
1.0ms	(cbrt.f64 2)
1.0ms	(cbrt.f64 z)

series654.0ms (9.5%)

Counts

4 → 8

Calls

4 calls:

508.0ms	(.f64 x (/.f64 (/.f64 (.f64 (cbrt.f64 2) (pow.f64 2 1/3)) (.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))) (.f64 (cbrt.f64 z) (cbrt.f64 z))))
146.0ms	(cbrt.f64 z)
0.0ms	(cbrt.f64 2)
0.0ms	(cbrt.f64 2)

simplify71.0ms (1%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4936	2162
1	4936	2162

prune171.0ms (2.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	107	10	117

Merged error: 0.0b

Counts

117 → 10

Compiler

Compiled 4018 to 1890 computations (53% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 z)
0.5b	(cbrt.f64 z)
0.5b	(cbrt.f64 z)
3.6b	(.f64 (.f64 x (/.f64 (sqrt.f64 2) (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)) (cbrt.f64 z)))

rewrite122.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

396×	`times-frac_binary64_15248`
254×	`add-sqr-sqrt_binary64_15263` `*-un-lft-identity_binary64_15242`
220×	`associate-r_binary64_15184`
182×	`add-cube-cbrt_binary64_15274`
117×	`cbrt-prod_binary64_15270`
90×	`sqrt-prod_binary64_15257`
58×	`add-exp-log_binary64_15277`
44×	`add-cbrt-cube_binary64_15275`
36×	`distribute-lft-out--_binary64_15196` `difference-of-squares_binary64_15211`
24×	`cbrt-unprod_binary64_15272` `prod-exp_binary64_15288`
18×	`cbrt-undiv_binary64_15273` `div-exp_binary64_15290`
12×	`associate-/r/_binary64_15190`
9×	`pow1_binary64_15300`
7×	`div-inv_binary64_15239`
6×	`flip3--_binary64_15246` `flip--_binary64_15217`
4×	`add-log-exp_binary64_15278`
3×	`pow1/3_binary64_15321` `associate-*r/_binary64_15186` `pow-prod-down_binary64_15310`
1×	`associate-l_binary64_15185` `-commutative_binary64_15175` `associate-l/_binary64_15187` `frac-times_binary64_15252`

Counts

4 → 291

Calls

4 calls:

64.0ms	(.f64 (.f64 x (/.f64 (sqrt.f64 2) (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)) (cbrt.f64 z)))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series765.0ms (11.1%)

Counts

4 → 12

Calls

4 calls:

304.0ms	(.f64 (.f64 x (/.f64 (sqrt.f64 2) (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)) (cbrt.f64 z)))
158.0ms	(cbrt.f64 z)
156.0ms	(cbrt.f64 z)
146.0ms	(cbrt.f64 z)

simplify115.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

303 → 303

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4993	8052
1	4993	8052

prune688.0ms (10%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	303	0	303
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	303	10	313

Merged error: 0.0b

Counts

313 → 10

Compiler

Compiled 8602 to 4631 computations (46.2% saved)

regimes494.0ms (7.2%)

Compiler: Compiled 4811 to 3753 computations (22% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	54
1	35	54

end0.0ms (0%)

sample1.3s (18.6%)

Algorithm

1×

intervals

Results

288.0ms	8000×	body	128	valid
27.0ms	690×	body	128	invalid

Compiler

Compiled 770 to 579 computations (24.8% saved)

Details

analyze653.0ms (9.5%)

sample23.0ms (0.3%)

simplify218.0ms (3.2%)

prune4.0ms (0.1%)

localize7.0ms (0.1%)

rewrite72.0ms (1.1%)

series319.0ms (4.6%)

simplify83.0ms (1.2%)

prune247.0ms (3.6%)

localize19.0ms (0.3%)

rewrite49.0ms (0.7%)

series491.0ms (7.1%)

simplify98.0ms (1.4%)

prune149.0ms (2.2%)

localize25.0ms (0.4%)

rewrite50.0ms (0.7%)

series654.0ms (9.5%)

simplify71.0ms (1%)

prune171.0ms (2.5%)

localize14.0ms (0.2%)

rewrite122.0ms (1.8%)

series765.0ms (11.1%)

simplify115.0ms (1.7%)

prune688.0ms (10%)

regimes494.0ms (7.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.3s (18.6%)

Profiling