Details

analyze603.0ms (21%)

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
16.4%	83.4%	0.2%	9
21.4%	78.4%	0.2%	10
25.1%	74.7%	0.2%	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)

sample21.0ms (0.7%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	65×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify145.0ms (5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	734	13
1	734	13

prune2.0ms (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

3.3b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
0.0b	(*.f64 (-.f64 y x) z)
3.5b	(/.f64 (*.f64 (-.f64 y x) z) t)

rewrite26.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64_15082` `add-sqr-sqrt_binary64_15104`
10×	`add-cbrt-cube_binary64_15118` `add-exp-log_binary64_15120`
7×	`add-cube-cbrt_binary64_15117`
5×	`pow1_binary64_15143` `add-log-exp_binary64_15121` `associate-l_binary64_15023`
4×	`associate-*l/_binary64_15025`
3×	`times-frac_binary64_15088` `associate-/r_binary64_15026` `associate-r*_binary64_15022`
2×	`div-exp_binary64_15133` `associate-/l/_binary64_15029` `prod-exp_binary64_15131` `flip3--_binary64_15086` `cbrt-unprod_binary64_15115` `cbrt-undiv_binary64_15116` `flip--_binary64_15057`
1×	`pow-prod-down_binary64_15153` `unswap-sqr_binary64_15050` `sum-log_binary64_15173` `frac-2neg_binary64_15093` `distribute-lft-out--_binary64_15034` `clear-num_binary64_15081` `difference-of-squares_binary64_15051` `flip-+_binary64_15056` `+-commutative_binary64_15012` `div-inv_binary64_15079` `-commutative_binary64_15013` `distribute-lft-out_binary64_15033` `associate-/l_binary64_15027` `flip3-+_binary64_15085`

Counts

3 → 57

Calls

3 calls:

9.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
7.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)
7.0ms	(*.f64 (-.f64 y x) z)

series117.0ms (4.1%)

Counts

3 → 9

Calls

3 calls:

50.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)
39.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
27.0ms	(*.f64 (-.f64 y x) z)

simplify66.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4990	824
1	4990	824

prune56.0ms (2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	60	6	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	61	6	67

Error

Counts

67 → 6

Compiler

Compiled 979 to 286 computations (70.8% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
6.0b	(/.f64 (-.f64 y x) (/.f64 t z))

rewrite39.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

119×	`times-frac_binary64_15088`
88×	`*-un-lft-identity_binary64_15082`
86×	`add-sqr-sqrt_binary64_15104`
58×	`add-cube-cbrt_binary64_15117`
14×	`distribute-lft-out--_binary64_15034` `difference-of-squares_binary64_15051`
13×	`associate-/r*_binary64_15026`
7×	`add-cbrt-cube_binary64_15118` `div-inv_binary64_15079` `add-exp-log_binary64_15120`
5×	`associate-/l*_binary64_15027`
4×	`add-log-exp_binary64_15121`
3×	`div-exp_binary64_15133` `cbrt-undiv_binary64_15116`
2×	`associate-/l/_binary64_15029` `div-sub_binary64_15087` `pow1_binary64_15143`
1×	`associate-+r-_binary64_15016` `sum-log_binary64_15173` `frac-2neg_binary64_15093` `flip3--_binary64_15086` `clear-num_binary64_15081` `flip-+_binary64_15056` `+-commutative_binary64_15012` `distribute-lft-out_binary64_15033` `flip--_binary64_15057` `associate-/r/_binary64_15028` `flip3-+_binary64_15085`

Counts

2 → 114

Calls

2 calls:

19.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
9.0ms	(/.f64 (-.f64 y x) (/.f64 t z))

series98.0ms (3.4%)

Counts

2 → 6

Calls

2 calls:

54.0ms	(/.f64 (-.f64 y x) (/.f64 t z))
44.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))

simplify86.0ms (3%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	6600	2589

prune80.0ms (2.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	120	6	126

Error

Counts

126 → 6

Compiler

Compiled 2201 to 449 computations (79.6% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
6.0b	(*.f64 (-.f64 y x) (/.f64 z t))

rewrite16.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_15104`
13×	`associate-r_binary64_15022`
12×	`*-un-lft-identity_binary64_15082`
10×	`times-frac_binary64_15088` `add-cube-cbrt_binary64_15117`
7×	`add-cbrt-cube_binary64_15118` `add-exp-log_binary64_15120`
5×	`associate-l_binary64_15023`
4×	`pow1_binary64_15143` `add-log-exp_binary64_15121`
2×	`unswap-sqr_binary64_15050` `frac-times_binary64_15092` `prod-exp_binary64_15131` `flip3--_binary64_15086` `cbrt-unprod_binary64_15115` `flip--_binary64_15057` `associate-*l/_binary64_15025`
1×	`pow-prod-down_binary64_15153` `div-exp_binary64_15133` `sum-log_binary64_15173` `distribute-lft-out--_binary64_15034` `difference-of-squares_binary64_15051` `flip-+_binary64_15056` `cbrt-undiv_binary64_15116` `+-commutative_binary64_15012` `div-inv_binary64_15079` `-commutative_binary64_15013` `associate-r/_binary64_15024` `flip3-+_binary64_15085`

Counts

2 → 49

Calls

2 calls:

10.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
3.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

series95.0ms (3.3%)

Counts

2 → 6

Calls

2 calls:

53.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
42.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

simplify67.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5403	832

prune37.0ms (1.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	55	6	61

Error

Counts

61 → 6

Compiler

Compiled 878 to 232 computations (73.6% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) z) (/.f64 1 t)))
0.0b	(*.f64 (-.f64 y x) z)
3.6b	(.f64 (.f64 (-.f64 y x) z) (/.f64 1 t))

rewrite27.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-exp-log_binary64_15120`
17×	`add-cbrt-cube_binary64_15118`
16×	`add-sqr-sqrt_binary64_15104` `associate-r_binary64_15022`
14×	`*-un-lft-identity_binary64_15082`
13×	`prod-exp_binary64_15131`
12×	`add-cube-cbrt_binary64_15117`
10×	`pow1_binary64_15143`
9×	`times-frac_binary64_15088`
8×	`associate-*l/_binary64_15025`
7×	`cbrt-unprod_binary64_15115`
6×	`associate-l_binary64_15023`
5×	`add-log-exp_binary64_15121`
4×	`pow-prod-down_binary64_15153` `div-exp_binary64_15133`
3×	`flip3--_binary64_15086` `flip--_binary64_15057`
2×	`frac-times_binary64_15092` `cbrt-undiv_binary64_15116` `*-commutative_binary64_15013` `1-exp_binary64_15126` `rec-exp_binary64_15132`
1×	`unswap-sqr_binary64_15050` `sum-log_binary64_15173` `un-div-inv_binary64_15080` `distribute-lft-out--_binary64_15034` `difference-of-squares_binary64_15051` `flip-+_binary64_15056` `+-commutative_binary64_15012` `div-inv_binary64_15079` `associate-*r/_binary64_15024` `flip3-+_binary64_15085`

Counts

3 → 75

Calls

3 calls:

11.0ms	(.f64 (.f64 (-.f64 y x) z) (/.f64 1 t))
6.0ms	(*.f64 (-.f64 y x) z)
4.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) z) (/.f64 1 t)))

series121.0ms (4.2%)

Counts

3 → 9

Calls

3 calls:

50.0ms	(.f64 (.f64 (-.f64 y x) z) (/.f64 1 t))
42.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) z) (/.f64 1 t)))
28.0ms	(*.f64 (-.f64 y x) z)

simplify69.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	6029	1081

prune52.0ms (1.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	84	6	90

Error

Counts

90 → 6

Compiler

Compiled 1241 to 396 computations (68.1% saved)

regimes143.0ms (5%)

Accuracy

Total 2.1b remaining (99.9%)

Threshold costs 0b (0%)

Compiler

Compiled 1241 to 953 computations (23.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	13
1	20	13

end0.0ms (0%)

sample873.0ms (30.4%)

Algorithm

1×

intervals

Results

269.0ms	8000×	body	128	valid
70.0ms	2035×	body	128	invalid

Compiler

Compiled 297 to 223 computations (24.9% saved)

Details

analyze603.0ms (21%)

sample21.0ms (0.7%)

simplify145.0ms (5%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite26.0ms (0.9%)

series117.0ms (4.1%)

simplify66.0ms (2.3%)

prune56.0ms (2%)

localize9.0ms (0.3%)

rewrite39.0ms (1.4%)

series98.0ms (3.4%)

simplify86.0ms (3%)

prune80.0ms (2.8%)

localize6.0ms (0.2%)

rewrite16.0ms (0.6%)

series95.0ms (3.3%)

simplify67.0ms (2.3%)

prune37.0ms (1.3%)

localize7.0ms (0.3%)

rewrite27.0ms (0.9%)

series121.0ms (4.2%)

simplify69.0ms (2.4%)

prune52.0ms (1.8%)

regimes143.0ms (5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample873.0ms (30.4%)

Profiling