Details

analyze540.0ms (12.8%)

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
3.1%	96.7%	0.2%	8
19.9%	79.9%	0.2%	9
22.8%	77%	0.2%	10
35.1%	64.7%	0.2%	11
45%	54.8%	0.2%	12
53.8%	45.1%	1.2%	13
56.2%	42.4%	1.5%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample18.0ms (0.4%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
1.0ms	16×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify312.0ms (7.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (136.0ms)

Iter	Nodes	Cost
0	5598	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: 1.8b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 z y))
1.8b	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)

rewrite34.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`add-sqr-sqrt_binary64_13517`
70×	`*-un-lft-identity_binary64_13495`
51×	`times-frac_binary64_13501`
31×	`associate-l_binary64_13436`
26×	`add-cube-cbrt_binary64_13530`
22×	`distribute-lft-out--_binary64_13447` `difference-of-squares_binary64_13464`
9×	`add-cbrt-cube_binary64_13531` `add-exp-log_binary64_13533`
5×	`associate-/r_binary64_13439` `associate-/l_binary64_13440`
4×	`associate-/r/_binary64_13441` `pow1_binary64_13556`
3×	`flip3--_binary64_13499` `associate-r_binary64_13435` `flip--_binary64_13470`
2×	`associate-/l/_binary64_13442` `div-inv_binary64_13492` `cbrt-unprod_binary64_13528` `unswap-sqr_binary64_13463` `add-log-exp_binary64_13534` `cbrt-undiv_binary64_13529` `div-exp_binary64_13546` `prod-exp_binary64_13544`
1×	`clear-num_binary64_13494` `div-sub_binary64_13500` `-commutative_binary64_13426` `pow-prod-down_binary64_13566` `frac-2neg_binary64_13506` `associate-l/_binary64_13438`

Counts

2 → 102

Calls

2 calls:

15.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)
9.0ms	(/.f64 (-.f64 x y) (-.f64 z y))

series348.0ms (8.3%)

Counts

2 → 6

Calls

2 calls:

261.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)
87.0ms	(/.f64 (-.f64 x y) (-.f64 z y))

simplify68.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4999	1792
1	4999	1792

prune276.0ms (6.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	102	6	108
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	102	7	109

Merged error: 0b

Counts

109 → 7

Compiler

Compiled 5600 to 2646 computations (52.8% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 z y))
0.6b	(cbrt.f64 (-.f64 x y))
0.6b	(cbrt.f64 (-.f64 x y))
0.6b	(cbrt.f64 (-.f64 x y))

rewrite21.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`cbrt-prod_binary64_13526`
16×	`*-un-lft-identity_binary64_13495` `add-sqr-sqrt_binary64_13517`
8×	`add-cube-cbrt_binary64_13530` `cbrt-div_binary64_13527`
4×	`distribute-lft-out--_binary64_13447` `add-cbrt-cube_binary64_13531` `flip3--_binary64_13499` `add-exp-log_binary64_13533` `difference-of-squares_binary64_13464` `add-log-exp_binary64_13534` `pow1/3_binary64_13577` `flip--_binary64_13470` `pow1_binary64_13556`

Counts

4 → 60

Calls

4 calls:

4.0ms	(cbrt.f64 (-.f64 x y))
4.0ms	(cbrt.f64 (-.f64 x y))
3.0ms	(cbrt.f64 (-.f64 x y))
3.0ms	(cbrt.f64 (-.f64 z y))

series869.0ms (20.6%)

Counts

4 → 12

Calls

4 calls:

226.0ms	(cbrt.f64 (-.f64 x y))
221.0ms	(cbrt.f64 (-.f64 z y))
214.0ms	(cbrt.f64 (-.f64 x y))
207.0ms	(cbrt.f64 (-.f64 x y))

simplify139.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (121.0ms)

Iter	Nodes	Cost
0	4840	928
1	4840	928

prune81.0ms (1.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	72	7	79

Merged error: 0b

Counts

79 → 7

Compiler

Compiled 2721 to 490 computations (82% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 x y) t)
9.8b	(/.f64 (*.f64 (-.f64 x y) t) (-.f64 z y))

rewrite21.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_13517`
12×	`*-un-lft-identity_binary64_13495`
9×	`add-cbrt-cube_binary64_13531` `add-exp-log_binary64_13533`
6×	`add-cube-cbrt_binary64_13530`
5×	`associate-l_binary64_13436` `times-frac_binary64_13501` `associate-/r*_binary64_13439`
4×	`pow1_binary64_13556` `associate-*l/_binary64_13438`
3×	`distribute-lft-out--_binary64_13447` `flip3--_binary64_13499` `difference-of-squares_binary64_13464` `associate-r_binary64_13435` `flip--_binary64_13470`
2×	`associate-/l/_binary64_13442` `cbrt-unprod_binary64_13528` `add-log-exp_binary64_13534` `associate-/r/_binary64_13441` `cbrt-undiv_binary64_13529` `div-exp_binary64_13546` `prod-exp_binary64_13544`
1×	`div-inv_binary64_13492` `clear-num_binary64_13494` `unswap-sqr_binary64_13463` `-commutative_binary64_13426` `pow-prod-down_binary64_13566` `associate-/l_binary64_13440` `frac-2neg_binary64_13506`

Counts

2 → 51

Calls

2 calls:

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

series195.0ms (4.6%)

Counts

2 → 6

Calls

2 calls:

138.0ms	(/.f64 (*.f64 (-.f64 x y) t) (-.f64 z y))
57.0ms	(*.f64 (-.f64 x y) t)

simplify49.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4977	697
1	4977	697

prune74.0ms (1.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	57	7	64

Merged error: 0b

Counts

64 → 7

Compiler

Compiled 1423 to 644 computations (54.7% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 t (-.f64 z y))
13.0b	(*.f64 (-.f64 x y) (/.f64 t (-.f64 z y)))

rewrite32.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`add-sqr-sqrt_binary64_13517`
38×	`*-un-lft-identity_binary64_13495`
31×	`times-frac_binary64_13501`
22×	`add-cube-cbrt_binary64_13530`
21×	`associate-r_binary64_13435`
9×	`add-cbrt-cube_binary64_13531` `add-exp-log_binary64_13533`
8×	`distribute-lft-out--_binary64_13447` `difference-of-squares_binary64_13464`
5×	`associate-l_binary64_13436` `associate-/r*_binary64_13439`
4×	`flip3--_binary64_13499` `associate-/r/_binary64_13441` `flip--_binary64_13470` `pow1_binary64_13556`
3×	`associate-/l*_binary64_13440`
2×	`div-inv_binary64_13492` `cbrt-unprod_binary64_13528` `unswap-sqr_binary64_13463` `add-log-exp_binary64_13534` `cbrt-undiv_binary64_13529` `div-exp_binary64_13546` `frac-times_binary64_13505` `prod-exp_binary64_13544` `associate-*l/_binary64_13438`
1×	`associate-r/_binary64_13437` `clear-num_binary64_13494` `-commutative_binary64_13426` `pow-prod-down_binary64_13566` `frac-2neg_binary64_13506`

Counts

2 → 83

Calls

2 calls:

16.0ms	(*.f64 (-.f64 x y) (/.f64 t (-.f64 z y)))
6.0ms	(/.f64 t (-.f64 z y))

series204.0ms (4.8%)

Counts

2 → 6

Calls

2 calls:

138.0ms	(*.f64 (-.f64 x y) (/.f64 t (-.f64 z y)))
65.0ms	(/.f64 t (-.f64 z y))

simplify69.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	6008	1292

prune61.0ms (1.4%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	89	7	96

Merged error: 0b

Counts

96 → 7

Compiler

Compiled 1474 to 350 computations (76.3% saved)

regimes94.0ms (2.2%)

Compiler: Compiled 694 to 506 computations (27.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	49
1	29	49

end0.0ms (0%)

sample663.0ms (15.8%)

Algorithm

1×

intervals

Results

266.0ms	8000×	body	128	valid
19.0ms	604×	body	128	invalid

Compiler

Compiled 159 to 109 computations (31.4% saved)

Details

analyze540.0ms (12.8%)

sample18.0ms (0.4%)

simplify312.0ms (7.4%)

prune2.0ms (0%)

localize6.0ms (0.2%)

rewrite34.0ms (0.8%)

series348.0ms (8.3%)

simplify68.0ms (1.6%)

prune276.0ms (6.6%)

localize16.0ms (0.4%)

rewrite21.0ms (0.5%)

series869.0ms (20.6%)

simplify139.0ms (3.3%)

prune81.0ms (1.9%)

localize6.0ms (0.2%)

rewrite21.0ms (0.5%)

series195.0ms (4.6%)

simplify49.0ms (1.2%)

prune74.0ms (1.8%)

localize6.0ms (0.2%)

rewrite32.0ms (0.8%)

series204.0ms (4.8%)

simplify69.0ms (1.6%)

prune61.0ms (1.4%)

regimes94.0ms (2.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample663.0ms (15.8%)

Profiling