Details

analyze1.1s (13%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2950	133
1	2950	133
0	4	4
1	4	4

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
6.2%	93.6%	0.2%	9
6.2%	82.7%	11.1%	10
12.5%	73.7%	13.8%	11
15.6%	59.5%	25%	12
17.9%	53.3%	28.8%	13
22.4%	47.2%	30.4%	14

Symmetry

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample29.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
2.0ms	72×	body	128	invalid

Compiler

Compiled 27 to 27 computations (0% saved)

simplify48.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	704	19
1	704	19

prune3.0ms (0%)

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

6.8b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
0.0b	(-.f64 (*.f64 z z) t)
6.4b	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

rewrite87.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

4.3b

Rules

16×	`cancel-sign-sub-inv_binary64_14025`
11×	`add-sqr-sqrt_binary64_14081`
9×	`add-cube-cbrt_binary64_14094` `*-un-lft-identity_binary64_14059`
8×	`pow1_binary64_14120` `add-exp-log_binary64_14097` `add-cbrt-cube_binary64_14095` `distribute-rgt-in_binary64_14009` `distribute-lft-in_binary64_14008` `associate--r+_binary64_13995`
7×	`add-log-exp_binary64_14098`
6×	`sub-neg_binary64_14052`
4×	`associate-r_binary64_13999`
3×	`pow-prod-down_binary64_14130` `prod-exp_binary64_14108` `cbrt-unprod_binary64_14092` `flip3--_binary64_14063` `flip--_binary64_14034`
2×	`associate-*r/_binary64_14001` `difference-of-squares_binary64_14028` `diff-log_binary64_14151`
1×	`associate-l_binary64_14000` `*-commutative_binary64_13990`

Counts

3 → 64

Calls

3 calls:

9.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
5.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
4.0ms	(-.f64 (*.f64 z z) t)

Compiler

Compiled 1409 to 532 computations (62.2% saved)

series659.0ms (8%)

Error

6.2b

Counts

3 → 51

Calls

3 calls:

373.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
183.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
64.0ms	(-.f64 (*.f64 z z) t)

Compiler

Compiled 1707 to 1400 computations (18% saved)

simplify84.0ms (1%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4924	1628
1	4924	1628

prune95.0ms (1.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	107	8	115
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	108	8	116

Error

3.8b

Counts

116 → 8

Compiler

Compiled 1910 to 732 computations (61.7% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x x) (+.f64 (.f64 y (.f64 4 (.f64 z z))) (.f64 -4 (.f64 y t))))
0.0b	(+.f64 (.f64 y (.f64 4 (.f64 z z))) (.f64 -4 (*.f64 y t)))
0.0b	(.f64 -4 (.f64 y t))
9.9b	(.f64 y (.f64 4 (*.f64 z z)))

rewrite110.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

2.7b

Rules

18×	`pow1_binary64_14120` `add-exp-log_binary64_14097` `add-cbrt-cube_binary64_14095`
11×	`add-log-exp_binary64_14098`
9×	`pow-prod-down_binary64_14130` `prod-exp_binary64_14108` `cbrt-unprod_binary64_14092`
8×	`add-sqr-sqrt_binary64_14081`
7×	`add-cube-cbrt_binary64_14094` `*-un-lft-identity_binary64_14059`
6×	`associate-l_binary64_14000`
3×	`cancel-sign-sub-inv_binary64_14025`
2×	`associate-r_binary64_13999` `*-commutative_binary64_13990` `sum-log_binary64_14150` `diff-log_binary64_14151`
1×	`flip3-+_binary64_14062` `flip-+_binary64_14033` `+-commutative_binary64_13989` `flip3--_binary64_14063` `sub-neg_binary64_14052` `flip--_binary64_14034` `difference-of-squares_binary64_14028` `associate--r+_binary64_13995`

Counts

4 → 67

Calls

4 calls:

10.0ms	(-.f64 (.f64 x x) (+.f64 (.f64 y (.f64 4 (.f64 z z))) (.f64 -4 (.f64 y t))))
8.0ms	(+.f64 (.f64 y (.f64 4 (.f64 z z))) (.f64 -4 (*.f64 y t)))
8.0ms	(.f64 y (.f64 4 (*.f64 z z)))
5.0ms	(.f64 -4 (.f64 y t))

Compiler

Compiled 1804 to 861 computations (52.3% saved)

series814.0ms (9.8%)

Error

3.8b

Counts

4 → 51

Calls

4 calls:

371.0ms	(-.f64 (.f64 x x) (+.f64 (.f64 y (.f64 4 (.f64 z z))) (.f64 -4 (.f64 y t))))
211.0ms	(+.f64 (.f64 y (.f64 4 (.f64 z z))) (.f64 -4 (*.f64 y t)))
114.0ms	(.f64 -4 (.f64 y t))
80.0ms	(.f64 y (.f64 4 (*.f64 z z)))

Compiler

Compiled 1971 to 1576 computations (20% saved)

simplify66.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4990	1671
1	4990	1671

prune98.0ms (1.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	116	2	118
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	116	10	126

Error

3.7b

Counts

126 → 10

Compiler

Compiled 2197 to 909 computations (58.6% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 y 4) (sqrt.f64 (-.f64 (*.f64 z z) t)))
0.2b	(.f64 (.f64 (.f64 y 4) (sqrt.f64 (-.f64 (.f64 z z) t))) (sqrt.f64 (-.f64 (*.f64 z z) t)))
6.4b	(sqrt.f64 (-.f64 (*.f64 z z) t))
6.4b	(sqrt.f64 (-.f64 (*.f64 z z) t))

rewrite132.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

3.7b

Rules

20×	`pow1_binary64_14120`
18×	`add-exp-log_binary64_14097` `add-cbrt-cube_binary64_14095` `sqrt-div_binary64_14076`
16×	`add-sqr-sqrt_binary64_14081` `sqrt-prod_binary64_14075`
14×	`associate-r_binary64_13999`
10×	`add-cube-cbrt_binary64_14094` `-un-lft-identity_binary64_14059` `associate-r/_binary64_14001`
9×	`flip3--_binary64_14063` `flip--_binary64_14034` `pow-prod-down_binary64_14130` `prod-exp_binary64_14108` `cbrt-unprod_binary64_14092`
4×	`add-log-exp_binary64_14098` `difference-of-squares_binary64_14028` `frac-times_binary64_14069`
2×	`pow1/2_binary64_14139` `sqrt-pow1_binary64_14077` `rem-sqrt-square_binary64_14072` `associate-l/_binary64_14002` `associate-l_binary64_14000` `-commutative_binary64_13990`

Counts

4 → 89

Calls

4 calls:

16.0ms	(.f64 (.f64 (.f64 y 4) (sqrt.f64 (-.f64 (.f64 z z) t))) (sqrt.f64 (-.f64 (*.f64 z z) t)))
10.0ms	(.f64 (.f64 y 4) (sqrt.f64 (-.f64 (*.f64 z z) t)))
5.0ms	(sqrt.f64 (-.f64 (*.f64 z z) t))
4.0ms	(sqrt.f64 (-.f64 (*.f64 z z) t))

Compiler

Compiled 2848 to 732 computations (74.3% saved)

series595.0ms (7.2%)

Error

3.7b

Counts

4 → 59

Calls

4 calls:

191.0ms	(.f64 (.f64 y 4) (sqrt.f64 (-.f64 (*.f64 z z) t)))
179.0ms	(.f64 (.f64 (.f64 y 4) (sqrt.f64 (-.f64 (.f64 z z) t))) (sqrt.f64 (-.f64 (*.f64 z z) t)))
88.0ms	(sqrt.f64 (-.f64 (*.f64 z z) t))
84.0ms	(sqrt.f64 (-.f64 (*.f64 z z) t))

Compiler

Compiled 3314 to 2194 computations (33.8% saved)

simplify99.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4939	2370
1	4939	2370

prune141.0ms (1.7%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	147	1	148
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	147	11	158

Error

3.7b

Counts

158 → 11

Compiler

Compiled 3690 to 1236 computations (66.5% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 4 (.f64 y (sqrt.f64 (-.f64 (.f64 z z) t)))) (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 z z) t))))
6.4b	(sqrt.f64 (-.f64 (*.f64 z z) t))
6.4b	(sqrt.f64 (-.f64 (*.f64 z z) t))
6.4b	(sqrt.f64 (-.f64 (*.f64 z z) t))

rewrite144.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

3.7b

Rules

24×	`sqrt-div_binary64_14076`
23×	`sqrt-prod_binary64_14075`
17×	`add-sqr-sqrt_binary64_14081`
16×	`pow1_binary64_14120`
14×	`associate-*r/_binary64_14001`
13×	`add-exp-log_binary64_14097` `add-cbrt-cube_binary64_14095`
10×	`add-cube-cbrt_binary64_14094` `-un-lft-identity_binary64_14059` `associate-r*_binary64_13999`
9×	`flip3--_binary64_14063` `flip--_binary64_14034`
6×	`pow-prod-down_binary64_14130` `prod-exp_binary64_14108` `cbrt-unprod_binary64_14092`
4×	`add-log-exp_binary64_14098` `difference-of-squares_binary64_14028` `frac-times_binary64_14069`
3×	`pow1/2_binary64_14139` `sqrt-pow1_binary64_14077` `rem-sqrt-square_binary64_14072`
2×	`associate-*l/_binary64_14002`
1×	`associate-l_binary64_14000` `*-commutative_binary64_13990`

Counts

4 → 84

Calls

4 calls:

20.0ms	(.f64 (.f64 4 (.f64 y (sqrt.f64 (-.f64 (.f64 z z) t)))) (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 z z) t))))
5.0ms	(sqrt.f64 (-.f64 (*.f64 z z) t))
4.0ms	(sqrt.f64 (-.f64 (*.f64 z z) t))
4.0ms	(sqrt.f64 (-.f64 (*.f64 z z) t))

Compiler

Compiled 3454 to 716 computations (79.3% saved)

series694.0ms (8.4%)

Error

3.7b

Counts

4 → 54

Calls

4 calls:

378.0ms	(.f64 (.f64 4 (.f64 y (sqrt.f64 (-.f64 (.f64 z z) t)))) (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 z z) t))))
91.0ms	(sqrt.f64 (-.f64 (*.f64 z z) t))
83.0ms	(sqrt.f64 (-.f64 (*.f64 z z) t))
81.0ms	(sqrt.f64 (-.f64 (*.f64 z z) t))

Compiler

Compiled 4409 to 2538 computations (42.4% saved)

simplify81.0ms (1%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4928	2458
1	4928	2458

prune156.0ms (1.9%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	138	11	149

Error

3.7b

Counts

149 → 11

Compiler

Compiled 4700 to 1336 computations (71.6% saved)

regimes1.2s (14.7%)

Accuracy

Total 1.1b remaining (37.5%)

Threshold costs 0b (0%)

Compiler

Compiled 12649 to 9348 computations (26.1% saved)

bsearch3.0ms (0%)

Compiler: Compiled 9 to 9 computations (0% saved)

simplify21.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	569	122
1	569	122

Removed

()

end0.0ms (0%)

sample1.8s (21.4%)

Algorithm

1×

intervals

Results

306.0ms	8000×	body	128	valid
115.0ms	3003×	body	128	invalid

Compiler

Compiled 1178 to 868 computations (26.3% saved)

Details

analyze1.1s (13%)

sample29.0ms (0.4%)

simplify48.0ms (0.6%)

prune3.0ms (0%)

localize9.0ms (0.1%)

rewrite87.0ms (1.1%)

series659.0ms (8%)

simplify84.0ms (1%)

prune95.0ms (1.1%)

localize15.0ms (0.2%)

rewrite110.0ms (1.3%)

series814.0ms (9.8%)

simplify66.0ms (0.8%)

prune98.0ms (1.2%)

localize11.0ms (0.1%)

rewrite132.0ms (1.6%)

series595.0ms (7.2%)

simplify99.0ms (1.2%)

prune141.0ms (1.7%)

localize14.0ms (0.2%)

rewrite144.0ms (1.7%)

series694.0ms (8.4%)

simplify81.0ms (1%)

prune156.0ms (1.9%)

regimes1.2s (14.7%)

bsearch3.0ms (0%)

simplify21.0ms (0.3%)

end0.0ms (0%)

sample1.8s (21.4%)

Profiling