Details

analyze1.5s (19.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4968	91
1	4968	91
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
16.4%	83.4%	0.2%	9
21.4%	78.4%	0.2%	10
25.9%	73.3%	0.8%	11
28%	70.2%	1.9%	12
39.6%	55.8%	4.6%	13
43.9%	50.4%	5.8%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample24.0ms (0.3%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	76×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify71.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	734	13
1	734	13

prune2.0ms (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

6.2b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite96.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`add-sqr-sqrt_binary64_9648` `*-un-lft-identity_binary64_9626`
10×	`add-exp-log_binary64_9664` `add-cbrt-cube_binary64_9662`
9×	`add-cube-cbrt_binary64_9661`
6×	`cancel-sign-sub-inv_binary64_9592`
5×	`pow1_binary64_9687` `add-log-exp_binary64_9665` `associate-r_binary64_9566`
4×	`associate-*r/_binary64_9568` `distribute-rgt-in_binary64_9576` `distribute-lft-in_binary64_9575`
3×	`times-frac_binary64_9632` `associate-/r_binary64_9570` `associate-l*_binary64_9567`
2×	`prod-exp_binary64_9675` `div-exp_binary64_9677` `cbrt-undiv_binary64_9660` `cbrt-unprod_binary64_9659` `flip3--_binary64_9630` `associate-/l/_binary64_9573` `flip--_binary64_9601` `sub-neg_binary64_9619`
1×	`frac-2neg_binary64_9637` `clear-num_binary64_9625` `div-inv_binary64_9623` `associate-/l_binary64_9571` `pow-prod-down_binary64_9697` `unswap-sqr_binary64_9594` `difference-of-squares_binary64_9595` `distribute-lft-out--_binary64_9578` `-commutative_binary64_9557` `sum-log_binary64_9717` `flip3-+_binary64_9629` `flip-+_binary64_9600` `distribute-lft-out_binary64_9577` `+-commutative_binary64_9556`

Counts

3 → 65

Calls

3 calls:

8.0ms	(/.f64 (*.f64 y (-.f64 z x)) t)
7.0ms	(*.f64 y (-.f64 z x))
5.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))

Compiler

Compiled 1047 to 299 computations (71.4% saved)

series665.0ms (8.3%)

Error

0.3b

Counts

3 → 57

Calls

3 calls:

295.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
235.0ms	(/.f64 (*.f64 y (-.f64 z x)) t)
102.0ms	(*.f64 y (-.f64 z x))

Compiler

Compiled 1493 to 861 computations (42.3% saved)

simplify75.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5049	1318

prune91.0ms (1.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	116	6	122
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	116	7	123

Error

Counts

123 → 7

Compiler

Compiled 1435 to 297 computations (79.3% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 y (/.f64 t (-.f64 z x))))
0.0b	(/.f64 t (-.f64 z x))
5.3b	(/.f64 y (/.f64 t (-.f64 z x)))

rewrite211.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

138×	`times-frac_binary64_9632`
105×	`*-un-lft-identity_binary64_9626`
103×	`add-sqr-sqrt_binary64_9648`
71×	`add-cube-cbrt_binary64_9661`
26×	`associate-/r*_binary64_9570`
16×	`difference-of-squares_binary64_9595` `distribute-lft-out--_binary64_9578`
11×	`associate-/r/_binary64_9572`
10×	`add-exp-log_binary64_9664` `add-cbrt-cube_binary64_9662`
6×	`div-inv_binary64_9623` `associate-/l*_binary64_9571`
5×	`add-log-exp_binary64_9665` `flip3--_binary64_9630` `flip--_binary64_9601`
4×	`div-exp_binary64_9677` `cbrt-undiv_binary64_9660`
3×	`pow1_binary64_9687`
2×	`frac-2neg_binary64_9637` `clear-num_binary64_9625`
1×	`sum-log_binary64_9717` `flip3-+_binary64_9629` `flip-+_binary64_9600` `distribute-lft-out_binary64_9577` `+-commutative_binary64_9556`

Counts

3 → 151

Calls

3 calls:

22.0ms	(+.f64 x (/.f64 y (/.f64 t (-.f64 z x))))
9.0ms	(/.f64 y (/.f64 t (-.f64 z x)))
5.0ms	(/.f64 t (-.f64 z x))

Compiler

Compiled 2965 to 744 computations (74.9% saved)

series726.0ms (9.1%)

Error

Counts

3 → 60

Calls

3 calls:

330.0ms	(+.f64 x (/.f64 y (/.f64 t (-.f64 z x))))
218.0ms	(/.f64 y (/.f64 t (-.f64 z x)))
149.0ms	(/.f64 t (-.f64 z x))

Compiler

Compiled 1820 to 1116 computations (38.7% saved)

simplify112.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5012	3666

prune152.0ms (1.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	209	2	211
Fresh	2	3	5
Picked	0	1	1
Done	1	0	1
Total	212	6	218

Error

Counts

218 → 6

Compiler

Compiled 3309 to 656 computations (80.2% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (/.f64 y t) (-.f64 z x)))
5.8b	(*.f64 (/.f64 y t) (-.f64 z x))

rewrite73.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

21×	`add-sqr-sqrt_binary64_9648`
16×	`*-un-lft-identity_binary64_9626`
14×	`add-cube-cbrt_binary64_9661`
13×	`associate-l_binary64_9567`
12×	`cancel-sign-sub-inv_binary64_9592`
10×	`times-frac_binary64_9632`
8×	`distribute-rgt-in_binary64_9576` `distribute-lft-in_binary64_9575` `associate-+r+_binary64_9558`
7×	`add-exp-log_binary64_9664` `add-cbrt-cube_binary64_9662`
5×	`associate-r_binary64_9566`
4×	`pow1_binary64_9687` `add-log-exp_binary64_9665` `sub-neg_binary64_9619`
2×	`prod-exp_binary64_9675` `cbrt-unprod_binary64_9659` `flip3--_binary64_9630` `frac-times_binary64_9636` `flip--_binary64_9601` `unswap-sqr_binary64_9594` `associate-*r/_binary64_9568`
1×	`pow-prod-down_binary64_9697` `div-exp_binary64_9677` `cbrt-undiv_binary64_9660` `associate-l/_binary64_9569` `div-inv_binary64_9623` `difference-of-squares_binary64_9595` `distribute-lft-out--_binary64_9578` `-commutative_binary64_9557` `sum-log_binary64_9717` `flip3-+_binary64_9629` `flip-+_binary64_9600` `+-commutative_binary64_9556`

Counts

2 → 65

Calls

2 calls:

15.0ms	(*.f64 (/.f64 y t) (-.f64 z x))
4.0ms	(+.f64 x (*.f64 (/.f64 y t) (-.f64 z x)))

Compiler

Compiled 1137 to 286 computations (74.8% saved)

series549.0ms (6.9%)

Error

Counts

2 → 42

Calls

2 calls:

331.0ms	(+.f64 x (*.f64 (/.f64 y t) (-.f64 z x)))
201.0ms	(*.f64 (/.f64 y t) (-.f64 z x))

Compiler

Compiled 1118 to 645 computations (42.3% saved)

simplify81.0ms (1%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5163	1365

prune75.0ms (0.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	107	6	113

Error

Counts

113 → 6

Compiler

Compiled 1392 to 282 computations (79.7% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 y (*.f64 t (/.f64 1 (-.f64 z x)))))
0.0b	(/.f64 1 (-.f64 z x))
0.3b	(*.f64 t (/.f64 1 (-.f64 z x)))
5.3b	(/.f64 y (*.f64 t (/.f64 1 (-.f64 z x))))

rewrite191.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

47×	`add-sqr-sqrt_binary64_9648`
43×	`*-un-lft-identity_binary64_9626`
35×	`times-frac_binary64_9632`
32×	`add-exp-log_binary64_9664`
26×	`add-cube-cbrt_binary64_9661`
21×	`associate-r_binary64_9566`
20×	`add-cbrt-cube_binary64_9662`
11×	`div-exp_binary64_9677`
8×	`prod-exp_binary64_9675`
7×	`pow1_binary64_9687` `difference-of-squares_binary64_9595` `distribute-lft-out--_binary64_9578`
6×	`add-log-exp_binary64_9665` `cbrt-undiv_binary64_9660` `associate-/r/_binary64_9572` `associate-/l_binary64_9571` `associate-/r_binary64_9570`
4×	`cbrt-unprod_binary64_9659`
3×	`1-exp_binary64_9670` `rec-exp_binary64_9676` `div-inv_binary64_9623` `unswap-sqr_binary64_9594` `associate-l_binary64_9567`
2×	`frac-2neg_binary64_9637` `clear-num_binary64_9625` `un-div-inv_binary64_9624` `associate-*r/_binary64_9568` `flip3--_binary64_9630` `flip--_binary64_9601`
1×	`pow-prod-down_binary64_9697` `*-commutative_binary64_9557` `inv-pow_binary64_9711` `pow-flip_binary64_9700` `sum-log_binary64_9717` `flip3-+_binary64_9629` `flip-+_binary64_9600` `distribute-lft-out_binary64_9577` `+-commutative_binary64_9556`

Counts

4 → 124

Calls

4 calls:

12.0ms	(*.f64 t (/.f64 1 (-.f64 z x)))
11.0ms	(+.f64 x (/.f64 y (*.f64 t (/.f64 1 (-.f64 z x)))))
11.0ms	(/.f64 y (*.f64 t (/.f64 1 (-.f64 z x))))
11.0ms	(/.f64 1 (-.f64 z x))

Compiler

Compiled 2325 to 1149 computations (50.6% saved)

series850.0ms (10.6%)

Error

Counts

4 → 75

Calls

4 calls:

324.0ms	(+.f64 x (/.f64 y (*.f64 t (/.f64 1 (-.f64 z x)))))
239.0ms	(/.f64 y (*.f64 t (/.f64 1 (-.f64 z x))))
146.0ms	(*.f64 t (/.f64 1 (-.f64 z x)))
94.0ms	(/.f64 1 (-.f64 z x))

Compiler

Compiled 2423 to 1581 computations (34.8% saved)

simplify137.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

199 → 199

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4969	2319
1	4969	2319

prune144.0ms (1.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	199	0	199
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	199	6	205

Error

Counts

205 → 6

Compiler

Compiled 2674 to 867 computations (67.6% saved)

regimes575.0ms (7.2%)

Accuracy

Total 1.0b remaining (99.6%)

Threshold costs 1.0b (99.6%)

Compiler

Compiled 2721 to 2043 computations (24.9% saved)

bsearch2.0ms (0%)

Compiler: Compiled 9 to 8 computations (11.1% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	63	78
1	63	78

end0.0ms (0%)

sample1.5s (19%)

Algorithm

1×

intervals

Results

313.0ms	8000×	body	128	valid
78.0ms	2033×	body	128	invalid

Compiler

Compiled 616 to 447 computations (27.4% saved)

Details

analyze1.5s (19.3%)

sample24.0ms (0.3%)

simplify71.0ms (0.9%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite96.0ms (1.2%)

series665.0ms (8.3%)

simplify75.0ms (0.9%)

prune91.0ms (1.1%)

localize6.0ms (0.1%)

rewrite211.0ms (2.6%)

series726.0ms (9.1%)

simplify112.0ms (1.4%)

prune152.0ms (1.9%)

localize7.0ms (0.1%)

rewrite73.0ms (0.9%)

series549.0ms (6.9%)

simplify81.0ms (1%)

prune75.0ms (0.9%)

localize15.0ms (0.2%)

rewrite191.0ms (2.4%)

series850.0ms (10.6%)

simplify137.0ms (1.7%)

prune144.0ms (1.8%)

regimes575.0ms (7.2%)

bsearch2.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample1.5s (19%)

Profiling