Details

analyze840.0ms (18.3%)

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 (0.5%)

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)

simplify212.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	704	13
1	704	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

Merged error: 6.9b

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 (-.f64 y x) z) t))
0.0b	(*.f64 (-.f64 y x) z)
6.8b	(/.f64 (*.f64 (-.f64 y x) z) t)

rewrite24.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_14549` `*-un-lft-identity_binary64_14527`
10×	`add-exp-log_binary64_14565` `add-cbrt-cube_binary64_14563`
7×	`add-cube-cbrt_binary64_14562`
5×	`pow1_binary64_14588` `add-log-exp_binary64_14566` `associate-l_binary64_14468`
4×	`associate-*l/_binary64_14470`
3×	`associate-r_binary64_14467` `associate-/r*_binary64_14471` `times-frac_binary64_14533`
2×	`associate-/l/_binary64_14474` `flip3--_binary64_14531` `prod-exp_binary64_14576` `flip--_binary64_14502` `cbrt-undiv_binary64_14561` `cbrt-unprod_binary64_14560` `div-exp_binary64_14578`
1×	`flip-+_binary64_14501` `div-inv_binary64_14524` `+-commutative_binary64_14457` `flip3-+_binary64_14530` `frac-2neg_binary64_14538` `distribute-lft-out--_binary64_14479` `sum-log_binary64_14618` `clear-num_binary64_14526` `unswap-sqr_binary64_14495` `-commutative_binary64_14458` `associate-/l_binary64_14472` `distribute-lft-out_binary64_14478` `difference-of-squares_binary64_14496` `pow-prod-down_binary64_14598`

Counts

3 → 57

Calls

3 calls:

8.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)
7.0ms	(*.f64 (-.f64 y x) z)
6.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))

series252.0ms (5.5%)

Counts

3 → 9

Calls

3 calls:

107.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)
80.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
65.0ms	(*.f64 (-.f64 y x) z)

simplify68.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4972	826
1	4972	826

prune161.0ms (3.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	58	8	66
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	58	9	67

Merged error: 0.0b

Counts

67 → 9

Compiler

Compiled 2760 to 1483 computations (46.3% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
7.7b	(/.f64 (-.f64 y x) (/.f64 t z))

rewrite43.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

119×	`times-frac_binary64_14533`
88×	`*-un-lft-identity_binary64_14527`
86×	`add-sqr-sqrt_binary64_14549`
58×	`add-cube-cbrt_binary64_14562`
14×	`distribute-lft-out--_binary64_14479` `difference-of-squares_binary64_14496`
13×	`associate-/r*_binary64_14471`
7×	`div-inv_binary64_14524` `add-exp-log_binary64_14565` `add-cbrt-cube_binary64_14563`
5×	`associate-/l*_binary64_14472`
4×	`add-log-exp_binary64_14566`
3×	`cbrt-undiv_binary64_14561` `div-exp_binary64_14578`
2×	`associate-/l/_binary64_14474` `pow1_binary64_14588` `div-sub_binary64_14532`
1×	`flip-+_binary64_14501` `flip3--_binary64_14531` `associate-/r/_binary64_14473` `+-commutative_binary64_14457` `flip--_binary64_14502` `flip3-+_binary64_14530` `frac-2neg_binary64_14538` `sum-log_binary64_14618` `clear-num_binary64_14526` `associate-+r-_binary64_14461` `distribute-lft-out_binary64_14478`

Counts

2 → 114

Calls

2 calls:

21.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
10.0ms	(/.f64 (-.f64 y x) (/.f64 t z))

series192.0ms (4.2%)

Counts

2 → 6

Calls

2 calls:

117.0ms	(/.f64 (-.f64 y x) (/.f64 t z))
75.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))

simplify65.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4982	2589
1	4982	2589

prune137.0ms (3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	117	3	120
Fresh	4	3	7
Picked	0	1	1
Done	0	1	1
Total	121	8	129

Merged error: 0b

Counts

129 → 8

Compiler

Compiled 2968 to 979 computations (67% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
7.0b	(*.f64 (-.f64 y x) (/.f64 z t))

rewrite19.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_14549`
13×	`associate-r_binary64_14467`
12×	`*-un-lft-identity_binary64_14527`
10×	`add-cube-cbrt_binary64_14562` `times-frac_binary64_14533`
7×	`add-exp-log_binary64_14565` `add-cbrt-cube_binary64_14563`
5×	`associate-l_binary64_14468`
4×	`pow1_binary64_14588` `add-log-exp_binary64_14566`
2×	`frac-times_binary64_14537` `flip3--_binary64_14531` `prod-exp_binary64_14576` `flip--_binary64_14502` `cbrt-unprod_binary64_14560` `associate-*l/_binary64_14470` `unswap-sqr_binary64_14495`
1×	`flip-+_binary64_14501` `div-inv_binary64_14524` `+-commutative_binary64_14457` `cbrt-undiv_binary64_14561` `flip3-+_binary64_14530` `distribute-lft-out--_binary64_14479` `sum-log_binary64_14618` `div-exp_binary64_14578` `-commutative_binary64_14458` `associate-r/_binary64_14469` `difference-of-squares_binary64_14496` `pow-prod-down_binary64_14598`

Counts

2 → 49

Calls

2 calls:

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

series190.0ms (4.1%)

Counts

2 → 6

Calls

2 calls:

106.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
84.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

simplify65.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5329	832

prune39.0ms (0.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	55	8	63

Merged error: 0b

Counts

63 → 8

Compiler

Compiled 904 to 243 computations (73.1% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

6.8b	(/.f64 (*.f64 (-.f64 y x) z) t)
7.1b	(cbrt.f64 (/.f64 (*.f64 (-.f64 y x) z) t))
7.1b	(cbrt.f64 (/.f64 (*.f64 (-.f64 y x) z) t))
7.1b	(cbrt.f64 (/.f64 (*.f64 (-.f64 y x) z) t))

rewrite31.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`cbrt-prod_binary64_14558`
12×	`add-sqr-sqrt_binary64_14549` `*-un-lft-identity_binary64_14527` `add-cube-cbrt_binary64_14562` `times-frac_binary64_14533`
9×	`add-exp-log_binary64_14565` `add-cbrt-cube_binary64_14563`
4×	`div-inv_binary64_14524` `pow1_binary64_14588` `add-log-exp_binary64_14566`
3×	`cbrt-div_binary64_14559` `pow1/3_binary64_14609` `associate-/r*_binary64_14471`
2×	`associate-/l/_binary64_14474` `cbrt-undiv_binary64_14561` `associate-*l/_binary64_14470` `div-exp_binary64_14578`
1×	`flip3--_binary64_14531` `prod-exp_binary64_14576` `flip--_binary64_14502` `cbrt-unprod_binary64_14560` `frac-2neg_binary64_14538` `clear-num_binary64_14526` `associate-/l*_binary64_14472`

Counts

4 → 71

Calls

4 calls:

8.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)
6.0ms	(cbrt.f64 (/.f64 (*.f64 (-.f64 y x) z) t))
5.0ms	(cbrt.f64 (/.f64 (*.f64 (-.f64 y x) z) t))
5.0ms	(cbrt.f64 (/.f64 (*.f64 (-.f64 y x) z) t))

series1.1s (24.1%)

Counts

4 → 12

Calls

4 calls:

347.0ms	(cbrt.f64 (/.f64 (*.f64 (-.f64 y x) z) t))
341.0ms	(cbrt.f64 (/.f64 (*.f64 (-.f64 y x) z) t))
325.0ms	(cbrt.f64 (/.f64 (*.f64 (-.f64 y x) z) t))
97.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)

simplify62.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5777	1416

prune80.0ms (1.7%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	83	8	91

Merged error: 0b

Counts

91 → 8

Compiler

Compiled 2807 to 430 computations (84.7% saved)

regimes165.0ms (3.6%)

Compiler: Compiled 546 to 418 computations (23.4% saved)

bsearch1.0ms (0%)

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

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	75
1	37	75

end0.0ms (0%)

sample787.0ms (17.1%)

Algorithm

1×

intervals

Results

276.0ms	8000×	body	128	valid
70.0ms	2011×	body	128	invalid

Compiler

Compiled 200 to 128 computations (36% saved)

Details

analyze840.0ms (18.3%)

sample21.0ms (0.5%)

simplify212.0ms (4.6%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite24.0ms (0.5%)

series252.0ms (5.5%)

simplify68.0ms (1.5%)

prune161.0ms (3.5%)

localize7.0ms (0.1%)

rewrite43.0ms (0.9%)

series192.0ms (4.2%)

simplify65.0ms (1.4%)

prune137.0ms (3%)

localize7.0ms (0.1%)

rewrite19.0ms (0.4%)

series190.0ms (4.1%)

simplify65.0ms (1.4%)

prune39.0ms (0.8%)

localize12.0ms (0.3%)

rewrite31.0ms (0.7%)

series1.1s (24.1%)

simplify62.0ms (1.3%)

prune80.0ms (1.7%)

regimes165.0ms (3.6%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample787.0ms (17.1%)

Profiling