Details

analyze528.0ms (10.2%)

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	28×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify282.0ms (5.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (115.0ms)

Iter	Nodes	Cost
0	5407	13

prune6.0ms (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

Merged error: 3.3b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 z y))
3.2b	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)

rewrite35.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`add-sqr-sqrt_binary64_16274`
70×	`*-un-lft-identity_binary64_16253`
51×	`times-frac_binary64_16259`
31×	`associate-l_binary64_16196`
26×	`add-cube-cbrt_binary64_16285`
22×	`difference-of-squares_binary64_16222` `distribute-lft-out--_binary64_16207`
9×	`add-exp-log_binary64_16288` `add-cbrt-cube_binary64_16286`
5×	`associate-/l_binary64_16200` `associate-/r_binary64_16199`
4×	`associate-/r/_binary64_16201` `pow1_binary64_16311`
3×	`flip--_binary64_16228` `flip3--_binary64_16257` `associate-r_binary64_16195`
2×	`cbrt-unprod_binary64_16283` `add-log-exp_binary64_16289` `unswap-sqr_binary64_16221` `div-exp_binary64_16301` `div-inv_binary64_16250` `associate-/l/_binary64_16202` `prod-exp_binary64_16299` `cbrt-undiv_binary64_16284`
1×	`clear-num_binary64_16252` `pow-prod-down_binary64_16321` `-commutative_binary64_16186` `div-sub_binary64_16258` `associate-l/_binary64_16198` `frac-2neg_binary64_16264`

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))

series356.0ms (6.9%)

Counts

2 → 6

Calls

2 calls:

265.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)
92.0ms	(/.f64 (-.f64 x y) (-.f64 z y))

simplify68.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4968	1792
1	4968	1792

prune86.0ms (1.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	103	5	108
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	103	6	109

Merged error: 0b

Counts

109 → 6

Compiler

Compiled 1884 to 406 computations (78.5% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 z y))) (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 z y)))) (*.f64 t (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 z y)))))
4.5b	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 z y)))
4.5b	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 z y)))
4.5b	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 z y)))

rewrite91.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

97×	`add-sqr-sqrt_binary64_16274` `*-un-lft-identity_binary64_16253`
93×	`cbrt-prod_binary64_16281`
75×	`times-frac_binary64_16259`
37×	`add-cube-cbrt_binary64_16285`
30×	`difference-of-squares_binary64_16222` `distribute-lft-out--_binary64_16207`
16×	`add-exp-log_binary64_16288` `pow1_binary64_16311`
15×	`cbrt-div_binary64_16282`
10×	`add-cbrt-cube_binary64_16286`
8×	`cbrt-unprod_binary64_16283` `pow-prod-down_binary64_16321` `prod-exp_binary64_16299`
7×	`associate-*r/_binary64_16197`
6×	`associate-/r/_binary64_16201`
5×	`frac-times_binary64_16263` `associate-*l/_binary64_16198`
4×	`add-log-exp_binary64_16289`
3×	`div-inv_binary64_16250` `flip--_binary64_16228` `flip3--_binary64_16257` `pow1/3_binary64_16332`
1×	`-commutative_binary64_16186` `associate-l_binary64_16196` `associate-r*_binary64_16195`

Counts

4 → 149

Calls

4 calls:

42.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 z y))) (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 z y)))) (*.f64 t (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 z y)))))
9.0ms	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 z y)))
9.0ms	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 z y)))
9.0ms	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 z y)))

series2.0s (38.2%)

Counts

4 → 12

Calls

4 calls:

574.0ms	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 z y)))
567.0ms	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 z y)))
566.0ms	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 z y)))
275.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 z y))) (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 z y)))) (*.f64 t (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 z y)))))

simplify95.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4947	3803
1	4947	3803

prune152.0ms (2.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	161	0	161
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	161	6	167

Merged error: 0b

Counts

167 → 6

Compiler

Compiled 5424 to 693 computations (87.2% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 x y) t)
9.1b	(/.f64 (*.f64 (-.f64 x y) t) (-.f64 z y))

rewrite22.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_16274`
12×	`*-un-lft-identity_binary64_16253`
9×	`add-exp-log_binary64_16288` `add-cbrt-cube_binary64_16286`
6×	`add-cube-cbrt_binary64_16285`
5×	`times-frac_binary64_16259` `associate-l_binary64_16196` `associate-/r*_binary64_16199`
4×	`associate-*l/_binary64_16198` `pow1_binary64_16311`
3×	`difference-of-squares_binary64_16222` `flip--_binary64_16228` `distribute-lft-out--_binary64_16207` `flip3--_binary64_16257` `associate-r_binary64_16195`
2×	`cbrt-unprod_binary64_16283` `add-log-exp_binary64_16289` `div-exp_binary64_16301` `associate-/l/_binary64_16202` `associate-/r/_binary64_16201` `prod-exp_binary64_16299` `cbrt-undiv_binary64_16284`
1×	`clear-num_binary64_16252` `pow-prod-down_binary64_16321` `-commutative_binary64_16186` `unswap-sqr_binary64_16221` `div-inv_binary64_16250` `associate-/l_binary64_16200` `frac-2neg_binary64_16264`

Counts

2 → 51

Calls

2 calls:

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

series219.0ms (4.2%)

Counts

2 → 6

Calls

2 calls:

152.0ms	(/.f64 (*.f64 (-.f64 x y) t) (-.f64 z y))
67.0ms	(*.f64 (-.f64 x y) t)

simplify51.0ms (1%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4977	697
1	4977	697

prune36.0ms (0.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	56	1	57
Fresh	1	2	3
Picked	0	1	1
Done	1	1	2
Total	58	5	63

Merged error: 0b

Counts

63 → 5

Compiler

Compiled 793 to 209 computations (73.6% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 t (-.f64 z y))
11.9b	(*.f64 (-.f64 x y) (/.f64 t (-.f64 z y)))

rewrite32.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`add-sqr-sqrt_binary64_16274`
38×	`*-un-lft-identity_binary64_16253`
31×	`times-frac_binary64_16259`
22×	`add-cube-cbrt_binary64_16285`
21×	`associate-r_binary64_16195`
9×	`add-exp-log_binary64_16288` `add-cbrt-cube_binary64_16286`
8×	`difference-of-squares_binary64_16222` `distribute-lft-out--_binary64_16207`
5×	`associate-l_binary64_16196` `associate-/r*_binary64_16199`
4×	`flip--_binary64_16228` `flip3--_binary64_16257` `associate-/r/_binary64_16201` `pow1_binary64_16311`
3×	`associate-/l*_binary64_16200`
2×	`cbrt-unprod_binary64_16283` `add-log-exp_binary64_16289` `unswap-sqr_binary64_16221` `div-exp_binary64_16301` `div-inv_binary64_16250` `frac-times_binary64_16263` `associate-*l/_binary64_16198` `prod-exp_binary64_16299` `cbrt-undiv_binary64_16284`
1×	`clear-num_binary64_16252` `pow-prod-down_binary64_16321` `-commutative_binary64_16186` `associate-r/_binary64_16197` `frac-2neg_binary64_16264`

Counts

2 → 83

Calls

2 calls:

19.0ms	(*.f64 (-.f64 x y) (/.f64 t (-.f64 z y)))
6.0ms	(/.f64 t (-.f64 z y))

series214.0ms (4.1%)

Counts

2 → 6

Calls

2 calls:

140.0ms	(*.f64 (-.f64 x y) (/.f64 t (-.f64 z y)))
73.0ms	(/.f64 t (-.f64 z y))

simplify65.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5966	1292

prune54.0ms (1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	89	5	94

Merged error: 0b

Counts

94 → 5

Compiler

Compiled 1353 to 265 computations (80.4% saved)

regimes104.0ms (2%)

Compiler: Compiled 358 to 326 computations (8.9% saved)

bsearch43.0ms (0.8%)

Steps

Iters	Range		Point
11	6.820747897520714e-78	6.543427538404248e-57	1.16814932569234e-71
9	-0.00650388319641806	-6.648824999388543e-12	-1.1321875610025753e-11

Compiler

Compiled 1 to 4 computations (-300% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	40
1	35	40

end0.0ms (0%)

sample626.0ms (12.1%)

Algorithm

1×

intervals

Results

259.0ms	8000×	body	128	valid
20.0ms	648×	body	128	invalid

Compiler

Compiled 99 to 82 computations (17.2% saved)

Details

analyze528.0ms (10.2%)

sample18.0ms (0.4%)

simplify282.0ms (5.4%)

prune6.0ms (0.1%)

localize7.0ms (0.1%)

rewrite35.0ms (0.7%)

series356.0ms (6.9%)

simplify68.0ms (1.3%)

prune86.0ms (1.7%)

localize11.0ms (0.2%)

rewrite91.0ms (1.7%)

series2.0s (38.2%)

simplify95.0ms (1.8%)

prune152.0ms (2.9%)

localize7.0ms (0.1%)

rewrite22.0ms (0.4%)

series219.0ms (4.2%)

simplify51.0ms (1%)

prune36.0ms (0.7%)

localize7.0ms (0.1%)

rewrite32.0ms (0.6%)

series214.0ms (4.1%)

simplify65.0ms (1.2%)

prune54.0ms (1%)

regimes104.0ms (2%)

bsearch43.0ms (0.8%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample626.0ms (12.1%)

Profiling