Details

analyze639.0ms (9.8%)

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
7.8%	92%	0.2%	8
16.4%	83.4%	0.2%	9
23.8%	76%	0.2%	10
25.1%	74.7%	0.2%	11
38.1%	59.4%	2.5%	12
41.8%	55.3%	2.9%	13
46.5%	50.3%	3.1%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample22.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
2.0ms	64×	body	128	invalid

Compiler

Compiled 23 to 25 computations (-8.7% saved)

simplify557.0ms (8.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (268.0ms)

Iter	Nodes	Cost
0	1484	16
1	1484	16

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

5.1b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))
0.0b	(/.f64 t (-.f64 1 z))
4.9b	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

rewrite77.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

111×	`add-sqr-sqrt_binary64_10671`
107×	`*-un-lft-identity_binary64_10649`
88×	`times-frac_binary64_10655`
72×	`cancel-sign-sub-inv_binary64_10615`
46×	`add-cube-cbrt_binary64_10684`
34×	`difference-of-squares_binary64_10618`
25×	`distribute-rgt-in_binary64_10599` `distribute-lft-in_binary64_10598`
21×	`distribute-lft-out--_binary64_10601`
10×	`associate-r_binary64_10589`
8×	`associate-/r/_binary64_10595`
7×	`add-cbrt-cube_binary64_10685` `add-exp-log_binary64_10687`
6×	`associate-/r*_binary64_10593` `flip3--_binary64_10653` `flip--_binary64_10624`
5×	`add-log-exp_binary64_10688` `pow1_binary64_10710`
4×	`div-inv_binary64_10646`
3×	`sub-neg_binary64_10642` `associate-/l_binary64_10594` `associate-l_binary64_10590` `associate-r/_binary64_10591`
2×	`frac-sub_binary64_10658`
1×	`prod-exp_binary64_10698` `cbrt-unprod_binary64_10682` `pow-prod-down_binary64_10720` `clear-num_binary64_10648` `unswap-sqr_binary64_10617` `div-exp_binary64_10700` `*-commutative_binary64_10580` `cbrt-undiv_binary64_10683` `frac-2neg_binary64_10660` `diff-log_binary64_10741`

Counts

3 → 162

Calls

3 calls:

29.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
22.0ms	(-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))
11.0ms	(/.f64 t (-.f64 1 z))

series125.0ms (1.9%)

Counts

3 → 9

Calls

3 calls:

64.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
32.0ms	(-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))
29.0ms	(/.f64 t (-.f64 1 z))

simplify76.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5013	3246

prune169.0ms (2.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	158	13	171
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	159	13	172

Error

1.4b

Counts

172 → 13

Compiler

Compiled 3336 to 1669 computations (50% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 y z) (*.f64 t (/.f64 1 (-.f64 1 z))))
0.0b	(/.f64 1 (-.f64 1 z))
0.1b	(*.f64 t (/.f64 1 (-.f64 1 z)))
4.9b	(.f64 x (-.f64 (/.f64 y z) (.f64 t (/.f64 1 (-.f64 1 z)))))

rewrite44.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`add-sqr-sqrt_binary64_10671`
50×	`*-un-lft-identity_binary64_10649`
38×	`times-frac_binary64_10655`
28×	`add-cube-cbrt_binary64_10684`
27×	`associate-r_binary64_10589`
19×	`add-exp-log_binary64_10687`
14×	`difference-of-squares_binary64_10618`
13×	`add-cbrt-cube_binary64_10685`
9×	`pow1_binary64_10710`
7×	`distribute-lft-out--_binary64_10601` `associate-*r/_binary64_10591`
6×	`associate-/r_binary64_10593` `add-log-exp_binary64_10688` `associate-l*_binary64_10590`
5×	`prod-exp_binary64_10698`
4×	`frac-sub_binary64_10658` `unswap-sqr_binary64_10617` `associate-/r/_binary64_10595` `div-exp_binary64_10700` `flip3--_binary64_10653` `flip--_binary64_10624`
3×	`cbrt-unprod_binary64_10682` `sub-neg_binary64_10642` `associate-/l*_binary64_10594` `cancel-sign-sub-inv_binary64_10615` `un-div-inv_binary64_10647`
2×	`pow-prod-down_binary64_10720` `*-commutative_binary64_10580` `distribute-rgt-in_binary64_10599` `cbrt-undiv_binary64_10683` `distribute-lft-in_binary64_10598` `1-exp_binary64_10693` `div-inv_binary64_10646` `rec-exp_binary64_10699`
1×	`clear-num_binary64_10648` `frac-2neg_binary64_10660` `inv-pow_binary64_10734` `diff-log_binary64_10741` `pow-flip_binary64_10723`

Counts

4 → 132

Calls

4 calls:

12.0ms	(*.f64 t (/.f64 1 (-.f64 1 z)))
10.0ms	(.f64 x (-.f64 (/.f64 y z) (.f64 t (/.f64 1 (-.f64 1 z)))))
7.0ms	(-.f64 (/.f64 y z) (*.f64 t (/.f64 1 (-.f64 1 z))))
6.0ms	(/.f64 1 (-.f64 1 z))

series139.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

68.0ms	(.f64 x (-.f64 (/.f64 y z) (.f64 t (/.f64 1 (-.f64 1 z)))))
36.0ms	(-.f64 (/.f64 y z) (*.f64 t (/.f64 1 (-.f64 1 z))))
26.0ms	(*.f64 t (/.f64 1 (-.f64 1 z)))
9.0ms	(/.f64 1 (-.f64 1 z))

simplify76.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4918	2023
1	4918	2023

prune135.0ms (2.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	143	1	144
Fresh	5	7	12
Picked	0	1	1
Done	0	0	0
Total	148	9	157

Error

0.0b

Counts

157 → 9

Compiler

Compiled 2809 to 1608 computations (42.8% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.9b	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
7.4b	(cbrt.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))
7.4b	(cbrt.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))
7.4b	(cbrt.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))

rewrite113.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`add-sqr-sqrt_binary64_10671`
55×	`*-un-lft-identity_binary64_10649`
48×	`cancel-sign-sub-inv_binary64_10615`
44×	`times-frac_binary64_10655`
26×	`add-cube-cbrt_binary64_10684`
25×	`distribute-rgt-in_binary64_10599` `distribute-lft-in_binary64_10598`
16×	`difference-of-squares_binary64_10618`
12×	`associate-*r/_binary64_10591`
10×	`distribute-lft-out--_binary64_10601` `associate-r_binary64_10589`
9×	`cbrt-div_binary64_10681`
6×	`pow1_binary64_10710` `add-cbrt-cube_binary64_10685` `add-exp-log_binary64_10687` `flip3--_binary64_10653` `flip--_binary64_10624`
4×	`frac-sub_binary64_10658` `add-log-exp_binary64_10688` `associate-/r/_binary64_10595`
3×	`cbrt-prod_binary64_10680` `pow1/3_binary64_10731` `associate-l_binary64_10590`
2×	`sub-neg_binary64_10642` `div-inv_binary64_10646`
1×	`prod-exp_binary64_10698` `cbrt-unprod_binary64_10682` `pow-prod-down_binary64_10720` `unswap-sqr_binary64_10617` `*-commutative_binary64_10580`

Counts

4 → 114

Calls

4 calls:

28.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
24.0ms	(cbrt.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))
21.0ms	(cbrt.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))
21.0ms	(cbrt.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))

series805.0ms (12.4%)

Counts

4 → 12

Calls

4 calls:

252.0ms	(cbrt.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))
246.0ms	(cbrt.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))
242.0ms	(cbrt.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))
65.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

simplify76.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4964	2923
1	4964	2923

prune232.0ms (3.6%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	124	2	126
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	124	11	135

Error

0.0b

Counts

135 → 11

Compiler

Compiled 5930 to 3178 computations (46.4% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

4.9b	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
7.4b	(cbrt.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))
7.4b	(cbrt.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))
7.4b	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

rewrite118.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

71×	`add-sqr-sqrt_binary64_10671`
67×	`*-un-lft-identity_binary64_10649`
52×	`times-frac_binary64_10655`
48×	`cancel-sign-sub-inv_binary64_10615`
27×	`add-cube-cbrt_binary64_10684`
25×	`distribute-rgt-in_binary64_10599` `distribute-lft-in_binary64_10598`
20×	`difference-of-squares_binary64_10618`
14×	`distribute-lft-out--_binary64_10601`
12×	`cbrt-prod_binary64_10680`
10×	`associate-r_binary64_10589`
9×	`cbrt-div_binary64_10681` `associate-*r/_binary64_10591`
6×	`pow1_binary64_10710` `add-cbrt-cube_binary64_10685` `add-exp-log_binary64_10687` `flip3--_binary64_10653` `flip--_binary64_10624`
4×	`frac-sub_binary64_10658` `add-log-exp_binary64_10688` `associate-/r/_binary64_10595`
3×	`pow1/3_binary64_10731` `associate-l_binary64_10590`
2×	`sub-neg_binary64_10642` `div-inv_binary64_10646`
1×	`prod-exp_binary64_10698` `cbrt-unprod_binary64_10682` `pow-prod-down_binary64_10720` `unswap-sqr_binary64_10617` `*-commutative_binary64_10580`

Counts

4 → 123

Calls

4 calls:

31.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
23.0ms	(cbrt.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))
23.0ms	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
22.0ms	(cbrt.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))

series698.0ms (10.7%)

Counts

4 → 12

Calls

4 calls:

249.0ms	(cbrt.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))
246.0ms	(cbrt.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))
143.0ms	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
60.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

simplify77.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5028	3191

prune250.0ms (3.8%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	135	11	146

Error

0.0b

Counts

146 → 11

Compiler

Compiled 6297 to 3263 computations (48.2% saved)

regimes595.0ms (9.2%)

Accuracy

Total 0.4b remaining (94.8%)

Threshold costs 0.4b (94.8%)

Compiler

Compiled 5683 to 4424 computations (22.2% saved)

bsearch2.0ms (0%)

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

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	116	170
1	116	170

end0.0ms (0%)

sample1.4s (21.8%)

Algorithm

1×

intervals

Results

301.0ms	8000×	body	128	valid
65.0ms	1832×	body	128	invalid

Compiler

Compiled 1062 to 790 computations (25.6% saved)

Details

analyze639.0ms (9.8%)

sample22.0ms (0.3%)

simplify557.0ms (8.6%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite77.0ms (1.2%)

series125.0ms (1.9%)

simplify76.0ms (1.2%)

prune169.0ms (2.6%)

localize9.0ms (0.1%)

rewrite44.0ms (0.7%)

series139.0ms (2.1%)

simplify76.0ms (1.2%)

prune135.0ms (2.1%)

localize13.0ms (0.2%)

rewrite113.0ms (1.7%)

series805.0ms (12.4%)

simplify76.0ms (1.2%)

prune232.0ms (3.6%)

localize17.0ms (0.3%)

rewrite118.0ms (1.8%)

series698.0ms (10.7%)

simplify77.0ms (1.2%)

prune250.0ms (3.8%)

regimes595.0ms (9.2%)

bsearch2.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.4s (21.8%)

Profiling