Details

analyze874.0ms (18.8%)

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
0%	99.8%	0.2%	8
2.3%	97.4%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
33.2%	66.5%	0.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample21.0ms (0.4%)

Algorithm

1×

intervals

Results

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

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify472.0ms (10.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (379.0ms)

Iter	Nodes	Cost
0	4977	16
1	4977	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

8.6b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 y (-.f64 z t))
0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)))
9.0b	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))

rewrite31.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_14422` `*-un-lft-identity_binary64_14400`
10×	`add-exp-log_binary64_14438` `add-cbrt-cube_binary64_14436`
9×	`add-cube-cbrt_binary64_14435`
6×	`cancel-sign-sub-inv_binary64_14366`
5×	`associate-/r_binary64_14344` `add-log-exp_binary64_14439` `pow1_binary64_14461` `times-frac_binary64_14406` `associate-r*_binary64_14340`
4×	`associate-*r/_binary64_14342` `distribute-rgt-in_binary64_14350` `distribute-lft-in_binary64_14349`
3×	`difference-of-squares_binary64_14369` `flip--_binary64_14375` `flip3--_binary64_14404` `distribute-lft-out--_binary64_14352` `associate-l_binary64_14341`
2×	`associate-/l/_binary64_14347` `sub-neg_binary64_14393` `cbrt-unprod_binary64_14433` `prod-exp_binary64_14449` `cbrt-undiv_binary64_14434` `div-exp_binary64_14451` `associate-/r/_binary64_14346`
1×	`+-commutative_binary64_14330` `flip3-+_binary64_14403` `pow-prod-down_binary64_14471` `frac-2neg_binary64_14411` `clear-num_binary64_14399` `distribute-lft-out_binary64_14351` `div-inv_binary64_14397` `flip-+_binary64_14374` `-commutative_binary64_14331` `sum-log_binary64_14491` `unswap-sqr_binary64_14368` `associate-/l_binary64_14345`

Counts

3 → 71

Calls

3 calls:

11.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
8.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)))
7.0ms	(*.f64 y (-.f64 z t))

series224.0ms (4.8%)

Counts

3 → 9

Calls

3 calls:

113.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)))
76.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
34.0ms	(*.f64 y (-.f64 z t))

simplify86.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4980	1097
1	4980	1097

prune72.0ms (1.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	73	7	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	7	81

Error

0.0b

Counts

81 → 7

Compiler

Compiled 1397 to 355 computations (74.6% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))))
0.0b	(/.f64 (-.f64 z a) (-.f64 z t))
2.4b	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))

rewrite73.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

218×	`times-frac_binary64_14406`
197×	`*-un-lft-identity_binary64_14400`
195×	`add-sqr-sqrt_binary64_14422`
91×	`add-cube-cbrt_binary64_14435`
52×	`difference-of-squares_binary64_14369` `distribute-lft-out--_binary64_14352`
36×	`associate-/r*_binary64_14344`
11×	`associate-/r/_binary64_14346`
10×	`add-exp-log_binary64_14438` `add-cbrt-cube_binary64_14436`
8×	`associate-/l*_binary64_14345`
6×	`flip--_binary64_14375` `div-inv_binary64_14397` `flip3--_binary64_14404`
5×	`add-log-exp_binary64_14439`
4×	`cbrt-undiv_binary64_14434` `div-exp_binary64_14451`
3×	`pow1_binary64_14461`
2×	`associate-/l/_binary64_14347` `frac-2neg_binary64_14411` `clear-num_binary64_14399`
1×	`+-commutative_binary64_14330` `flip3-+_binary64_14403` `distribute-lft-out_binary64_14351` `flip-+_binary64_14374` `sum-log_binary64_14491` `div-sub_binary64_14405`

Counts

3 → 206

Calls

3 calls:

31.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))))
12.0ms	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))
8.0ms	(/.f64 (-.f64 z a) (-.f64 z t))

series258.0ms (5.5%)

Counts

3 → 9

Calls

3 calls:

113.0ms	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))
112.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))))
33.0ms	(/.f64 (-.f64 z a) (-.f64 z t))

simplify92.0ms (2%)

Algorithm

1×	egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5084	5192

prune156.0ms (3.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	213	2	215
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	215	7	222

Error

Counts

222 → 7

Compiler

Compiled 4599 to 785 computations (82.9% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
0.0b	(/.f64 (-.f64 z t) (-.f64 z a))
2.6b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

rewrite38.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`add-sqr-sqrt_binary64_14422`
71×	`*-un-lft-identity_binary64_14400`
51×	`times-frac_binary64_14406`
31×	`associate-r_binary64_14340`
27×	`add-cube-cbrt_binary64_14435`
22×	`difference-of-squares_binary64_14369` `distribute-lft-out--_binary64_14352`
10×	`add-exp-log_binary64_14438` `add-cbrt-cube_binary64_14436`
5×	`associate-/r_binary64_14344` `add-log-exp_binary64_14439` `pow1_binary64_14461` `associate-/l_binary64_14345`
4×	`associate-/r/_binary64_14346`
3×	`flip--_binary64_14375` `flip3--_binary64_14404` `associate-l_binary64_14341`
2×	`associate-/l/_binary64_14347` `cbrt-unprod_binary64_14433` `prod-exp_binary64_14449` `cbrt-undiv_binary64_14434` `div-exp_binary64_14451` `div-inv_binary64_14397` `unswap-sqr_binary64_14368`
1×	`+-commutative_binary64_14330` `flip3-+_binary64_14403` `pow-prod-down_binary64_14471` `frac-2neg_binary64_14411` `clear-num_binary64_14399` `associate-r/_binary64_14342` `flip-+_binary64_14374` `-commutative_binary64_14331` `sum-log_binary64_14491` `div-sub_binary64_14405`

Counts

3 → 113

Calls

3 calls:

17.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))
8.0ms	(/.f64 (-.f64 z t) (-.f64 z a))
3.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))

series219.0ms (4.7%)

Counts

3 → 9

Calls

3 calls:

114.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
73.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))
32.0ms	(/.f64 (-.f64 z t) (-.f64 z a))

simplify61.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5134	2068

prune89.0ms (1.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	122	7	129

Error

Counts

129 → 7

Compiler

Compiled 2313 to 487 computations (78.9% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t)))
0.0b	(/.f64 y (-.f64 z a))
11.4b	(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))

rewrite31.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`add-sqr-sqrt_binary64_14422`
43×	`*-un-lft-identity_binary64_14400`
31×	`times-frac_binary64_14406`
27×	`add-cube-cbrt_binary64_14435`
21×	`associate-l_binary64_14341`
12×	`cancel-sign-sub-inv_binary64_14366`
10×	`add-exp-log_binary64_14438` `add-cbrt-cube_binary64_14436`
8×	`associate-+r+_binary64_14332` `difference-of-squares_binary64_14369` `distribute-lft-out--_binary64_14352` `distribute-rgt-in_binary64_14350` `distribute-lft-in_binary64_14349`
5×	`associate-/r_binary64_14344` `add-log-exp_binary64_14439` `pow1_binary64_14461` `associate-r*_binary64_14340`
4×	`sub-neg_binary64_14393` `flip--_binary64_14375` `flip3--_binary64_14404` `associate-/r/_binary64_14346`
3×	`associate-/l*_binary64_14345`
2×	`cbrt-unprod_binary64_14433` `prod-exp_binary64_14449` `cbrt-undiv_binary64_14434` `frac-times_binary64_14410` `div-exp_binary64_14451` `div-inv_binary64_14397` `associate-*r/_binary64_14342` `unswap-sqr_binary64_14368`
1×	`associate-l/_binary64_14343` `+-commutative_binary64_14330` `flip3-+_binary64_14403` `pow-prod-down_binary64_14471` `frac-2neg_binary64_14411` `clear-num_binary64_14399` `flip-+_binary64_14374` `-commutative_binary64_14331` `sum-log_binary64_14491`

Counts

3 → 110

Calls

3 calls:

13.0ms	(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))
5.0ms	(/.f64 y (-.f64 z a))
4.0ms	(+.f64 x (*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t)))

series267.0ms (5.8%)

Counts

3 → 9

Calls

3 calls:

124.0ms	(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))
114.0ms	(+.f64 x (*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t)))
29.0ms	(/.f64 y (-.f64 z a))

simplify64.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5507	1865

prune79.0ms (1.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	119	7	126

Error

Counts

126 → 7

Compiler

Compiled 2110 to 441 computations (79.1% saved)

regimes381.0ms (8.2%)

Accuracy

Total 0.4b remaining (99.6%)

Threshold costs 0.4b (99.6%)

Compiler

Compiled 3373 to 2383 computations (29.4% saved)

bsearch1.0ms (0%)

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

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	69	73
1	69	73

end0.0ms (0%)

sample1.0s (21.9%)

Algorithm

1×

intervals

Results

300.0ms	7999×	body	128	valid
34.0ms	733×	body	128	invalid
0.0ms	1×	body	256	valid

Compiler

Compiled 526 to 364 computations (30.8% saved)

Details

analyze874.0ms (18.8%)

sample21.0ms (0.4%)

simplify472.0ms (10.2%)

prune2.0ms (0%)

localize8.0ms (0.2%)

rewrite31.0ms (0.7%)

series224.0ms (4.8%)

simplify86.0ms (1.9%)

prune72.0ms (1.6%)

localize8.0ms (0.2%)

rewrite73.0ms (1.6%)

series258.0ms (5.5%)

simplify92.0ms (2%)

prune156.0ms (3.4%)

localize8.0ms (0.2%)

rewrite38.0ms (0.8%)

series219.0ms (4.7%)

simplify61.0ms (1.3%)

prune89.0ms (1.9%)

localize8.0ms (0.2%)

rewrite31.0ms (0.7%)

series267.0ms (5.8%)

simplify64.0ms (1.4%)

prune79.0ms (1.7%)

regimes381.0ms (8.2%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.0s (21.9%)

Profiling