Details

analyze1.8s (30.4%)

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
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
0%	99.8%	0.2%	11
0%	99.8%	0.2%	12
3.7%	96.1%	0.2%	13
4.2%	94.5%	1.3%	14

Compiler

Compiled 22 to 16 computations (27.3% saved)

sample37.0ms (0.6%)

Algorithm

1×

intervals

Results

16.0ms	256×	body	128	valid
8.0ms	80×	body	128	invalid

Compiler

Compiled 47 to 35 computations (25.5% saved)

simplify117.0ms (2%)

Algorithm

1×	egg-herbie

Rules

669×	`fma-neg_binary64`
614×	`times-frac_binary64`
480×	`neg-mul-1_binary64`
416×	`div-sub_binary64`
394×	`unsub-neg_binary64`

Counts

1 → 1

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	15	25
1	28	23
2	55	23
3	101	21
4	220	21
5	423	21
6	834	20
7	1845	19
8	3893	19
9	4281	19
10	4633	19
11	4956	19
12	4804	19

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

Error

0.0b

Counts

2 → 2

Alt Table

Status	Error	Program
▶	0.1b	(+.f64 (/.f64 x y) (-.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 z)) t)))
	10.2b	(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z)))

Compiler

Compiled 93 to 69 computations (25.8% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 -2 (/.f64 -2 z))
0.0b	(-.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 z)) t))
0.0b	(+.f64 (/.f64 x y) (-.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 z)) t)))
0.1b	(/.f64 (+.f64 -2 (/.f64 -2 z)) t)

rewrite240.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

49×	`add-cube-cbrt_binary64`
22×	`add-log-exp_binary64`
18×	`add-sqr-sqrt_binary64`
16×	`pow1_binary64`
16×	`add-cbrt-cube_binary64`

Counts

4 → 184

Calls

4 calls:

17.0ms	(+.f64 (/.f64 x y) (-.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 z)) t)))
14.0ms	(-.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 z)) t))
13.0ms	(/.f64 (+.f64 -2 (/.f64 -2 z)) t)
12.0ms	(+.f64 -2 (/.f64 -2 z))

Compiler

Compiled 4631 to 3345 computations (27.8% saved)

series134.0ms (2.3%)

Error

0.0b

Counts

4 → 51

Calls

4 calls:

65.0ms	(+.f64 (/.f64 x y) (-.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 z)) t)))
24.0ms	(-.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 z)) t))
22.0ms	(/.f64 (+.f64 -2 (/.f64 -2 z)) t)
6.0ms	(+.f64 -2 (/.f64 -2 z))

Compiler

Compiled 1738 to 1332 computations (23.4% saved)

simplify207.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

685×	`fma-neg_binary64`
600×	`distribute-rgt-in_binary64`
318×	`cancel-sign-sub-inv_binary64`
173×	`distribute-rgt-neg-in_binary64`
141×	`distribute-lft-neg-in_binary64`

Counts

235 → 132

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	231	3758
1	590	3582
2	2086	3491
3	4464	3404
4	4984	3404
5	4985	3404
6	4901	3404

prune78.0ms (1.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	129	3	132
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	129	5	134

Error

0.0b

Counts

134 → 5

Alt Table

Status	Error	Program
▶	0.7b	(+.f64 (/.f64 x y) (-.f64 -2 (/.f64 (/.f64 (+.f64 -2 (/.f64 -2 z)) (cbrt.f64 t)) (*.f64 (cbrt.f64 t) (cbrt.f64 t)))))
	16.9b	(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (/.f64 2 z)) t))
✓	0.1b	(+.f64 (/.f64 x y) (-.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 z)) t)))
	10.2b	(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z)))
	13.4b	(+.f64 (/.f64 x y) (-.f64 -2 (/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 -2 (/.f64 -2 z)) 2)) (cbrt.f64 (+.f64 -2 (/.f64 -2 z)))) t)))

Compiler

Compiled 2260 to 1599 computations (29.2% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 t) (cbrt.f64 t))
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)

rewrite120.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`add-cube-cbrt_binary64`
27×	`pow1/3_binary64`
17×	`add-sqr-sqrt_binary64`
12×	`add-exp-log_binary64`
12×	`log1p-expm1-u_binary64`

Counts

4 → 132

Calls

4 calls:

13.0ms	(*.f64 (cbrt.f64 t) (cbrt.f64 t))
12.0ms	(cbrt.f64 t)
10.0ms	(cbrt.f64 t)
10.0ms	(cbrt.f64 t)

Compiler

Compiled 2163 to 1015 computations (53.1% saved)

series61.0ms (1.1%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

17.0ms	(*.f64 (cbrt.f64 t) (cbrt.f64 t))
14.0ms	(cbrt.f64 t)
12.0ms	(cbrt.f64 t)
12.0ms	(cbrt.f64 t)

Compiler

Compiled 824 to 601 computations (27.1% saved)

simplify103.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

928×	`fma-def_binary64`
860×	`log-prod_binary64`
504×	`exp-prod_binary64`
299×	`*-commutative_binary64`
263×	`associate-l_binary64`

Counts

144 → 69

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	57	688
1	102	628
2	246	602
3	874	595
4	1999	505
5	4161	505
6	4605	497
7	4907	497

prune32.0ms (0.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	69	5	74

Error

0.0b

Counts

74 → 5

Alt Table

Status	Error	Program
✓	0.7b	(+.f64 (/.f64 x y) (-.f64 -2 (/.f64 (/.f64 (+.f64 -2 (/.f64 -2 z)) (cbrt.f64 t)) (*.f64 (cbrt.f64 t) (cbrt.f64 t)))))
	16.9b	(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (/.f64 2 z)) t))
✓	0.1b	(+.f64 (/.f64 x y) (-.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 z)) t)))
▶	10.2b	(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z)))
	13.4b	(+.f64 (/.f64 x y) (-.f64 -2 (/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 -2 (/.f64 -2 z)) 2)) (cbrt.f64 (+.f64 -2 (/.f64 -2 z)))) t)))

Compiler

Compiled 1088 to 645 computations (40.7% saved)

localize17.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z)))
10.1b	(/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z))

rewrite103.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

17×	`add-cube-cbrt_binary64`
10×	`add-exp-log_binary64`
10×	`add-cbrt-cube_binary64`
8×	`add-log-exp_binary64`
8×	`pow1_binary64`

Counts

2 → 89

Calls

2 calls:

22.0ms	(/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z))
19.0ms	(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z)))

Compiler

Compiled 2180 to 1292 computations (40.7% saved)

series109.0ms (1.9%)

Error

0.0b

Counts

2 → 36

Calls

2 calls:

71.0ms	(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z)))
30.0ms	(/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z))

Compiler

Compiled 1197 to 910 computations (24% saved)

simplify79.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

673×	`associate-/l*_binary64`
501×	`fma-def_binary64`
329×	`distribute-rgt-in_binary64`
298×	`distribute-lft-in_binary64`
197×	`associate-/l/_binary64`

Counts

125 → 84

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	139	2485
1	400	2256
2	1516	2053
3	4978	2053

prune43.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	81	3	84
Fresh	1	1	2
Picked	1	0	1
Done	1	1	2
Total	84	5	89

Error

Counts

89 → 5

Alt Table

Status	Error	Program
✓	0.7b	(+.f64 (/.f64 x y) (-.f64 -2 (/.f64 (/.f64 (+.f64 -2 (/.f64 -2 z)) (cbrt.f64 t)) (*.f64 (cbrt.f64 t) (cbrt.f64 t)))))
	16.9b	(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (/.f64 2 z)) t))
	26.6b	(.f64 (+.f64 (.f64 x (.f64 t z)) (.f64 y (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))))) (/.f64 1 (.f64 (.f64 t z) y)))
	17.2b	(+.f64 (/.f64 x y) (/.f64 (/.f64 (fma.f64 z (fma.f64 t -2 2) 2) t) z))
▶	0.1b	(+.f64 (/.f64 x y) (-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t)) 2))

Compiler

Compiled 1406 to 798 computations (43.2% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t)) 2)
0.0b	(+.f64 (/.f64 x y) (-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t)) 2))
0.0b	(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
0.6b	(/.f64 2 (*.f64 t z))

rewrite209.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

44×	`add-cube-cbrt_binary64`
26×	`add-log-exp_binary64`
18×	`add-sqr-sqrt_binary64`
16×	`pow1_binary64`
16×	`add-cbrt-cube_binary64`

Counts

4 → 189

Calls

4 calls:

16.0ms	(+.f64 (/.f64 x y) (-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t)) 2))
15.0ms	(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t)) 2)
15.0ms	(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
13.0ms	(/.f64 2 (*.f64 t z))

Compiler

Compiled 4781 to 3009 computations (37.1% saved)

series140.0ms (2.4%)

Error

Counts

4 → 51

Calls

4 calls:

73.0ms	(+.f64 (/.f64 x y) (-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t)) 2))
27.0ms	(-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t)) 2)
21.0ms	(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
12.0ms	(/.f64 2 (*.f64 t z))

Compiler

Compiled 1753 to 1331 computations (24.1% saved)

simplify162.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

721×	`fma-neg_binary64`
228×	`associate-/l/_binary64`
212×	`cancel-sign-sub-inv_binary64`
197×	`distribute-rgt-neg-in_binary64`
165×	`distribute-lft-neg-in_binary64`

Counts

240 → 121

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	233	4306
1	584	4164
2	2478	3942
3	4675	3937
4	4949	3937

prune72.0ms (1.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	121	5	126

Error

Counts

126 → 5

Alt Table

Status	Error	Program
	0.7b	(+.f64 (/.f64 x y) (-.f64 -2 (/.f64 (/.f64 (+.f64 -2 (/.f64 -2 z)) (cbrt.f64 t)) (*.f64 (cbrt.f64 t) (cbrt.f64 t)))))
	16.9b	(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (/.f64 2 z)) t))
	26.6b	(.f64 (+.f64 (.f64 x (.f64 t z)) (.f64 y (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))))) (/.f64 1 (.f64 (.f64 t z) y)))
	17.2b	(+.f64 (/.f64 x y) (/.f64 (/.f64 (fma.f64 z (fma.f64 t -2 2) 2) t) z))
	0.1b	(+.f64 (/.f64 x y) (-.f64 (+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t)) 2))

Compiler

Compiled 2305 to 1408 computations (38.9% saved)

regimes637.0ms (11%)

Accuracy

Total 0.1b remaining (85.9%)

Threshold costs 0.1b (85.9%)

Compiler

Compiled 13716 to 10270 computations (25.1% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
1×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	17	19
2	18	19
3	17	19

end1.0ms (0%)

Compiler: Compiled 17 to 13 computations (23.5% saved)

sample1.3s (22.3%)

Algorithm

1×

intervals

Results

538.0ms	8000×	body	128	valid
152.0ms	2316×	body	128	invalid

Compiler

Compiled 149 to 106 computations (28.9% saved)

Details

analyze1.8s (30.4%)

sample37.0ms (0.6%)

simplify117.0ms (2%)

prune4.0ms (0.1%)

localize9.0ms (0.2%)

rewrite240.0ms (4.1%)

series134.0ms (2.3%)

simplify207.0ms (3.6%)

prune78.0ms (1.3%)

localize13.0ms (0.2%)

rewrite120.0ms (2.1%)

series61.0ms (1.1%)

simplify103.0ms (1.8%)

prune32.0ms (0.6%)

localize17.0ms (0.3%)

rewrite103.0ms (1.8%)

series109.0ms (1.9%)

simplify79.0ms (1.4%)

prune43.0ms (0.7%)

localize10.0ms (0.2%)

rewrite209.0ms (3.6%)

series140.0ms (2.4%)

simplify162.0ms (2.8%)

prune72.0ms (1.2%)

regimes637.0ms (11%)

simplify8.0ms (0.1%)

end1.0ms (0%)

sample1.3s (22.3%)

Profiling