Details

analyze1.4s (8.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
1.1%	98.6%	0.3%	12
1.9%	97.8%	0.3%	13
7%	92.7%	0.3%	14

Compiler

Compiled 22 to 17 computations (22.7% saved)

sample28.0ms (0.2%)

Algorithm

1×

intervals

Results

14.0ms

256×

body

128

valid

Compiler

Compiled 43 to 39 computations (9.3% saved)

simplify182.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	5141	31

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

25.7b

Counts

2 → 1

Compiler

Compiled 42 to 31 computations (26.2% saved)

localize21.0ms (0.1%)

Local error

Found 8 expressions with local error:

1.9b	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b))
1.4b	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a))
0.0b	(*.f64 (+.f64 x y) z)
0.0b	(*.f64 (+.f64 t y) a)
0.0b	(*.f64 (+.f64 x y) z)
1.4b	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a))
1.9b	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b))
23.9b	(/.f64 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b)) (+.f64 (+.f64 x t) y))

rewrite51.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`*-un-lft-identity_binary64_24971`
18×	`add-sqr-sqrt_binary64_24993`
16×	`add-cube-cbrt_binary64_25006`
15×	`times-frac_binary64_24977`
13×	`distribute-lft-out_binary64_24922`
11×	`add-log-exp_binary64_25010`
10×	`associate-*l/_binary64_24914`
8×	`add-cbrt-cube_binary64_25007` `add-exp-log_binary64_25009`
7×	`flip3-+_binary64_24974` `flip-+_binary64_24945`
6×	`pow1_binary64_25032`
5×	`associate-/r*_binary64_24915`
4×	`associate-l_binary64_24912` `frac-add_binary64_24979`
3×	`associate-/l_binary64_24916` `associate-r*_binary64_24911`
2×	`sum-log_binary64_25062` `diff-log_binary64_25063` `flip3--_binary64_24975` `associate-/l/_binary64_24918` `flip--_binary64_24946` `associate-/r/_binary64_24917`
1×	`+-commutative_binary64_24901` `unswap-sqr_binary64_24939` `sub-neg_binary64_24964` `cancel-sign-sub-inv_binary64_24937` `clear-num_binary64_24970` `associate--l+_binary64_24908` `*-commutative_binary64_24902` `div-sub_binary64_24976` `pow-prod-down_binary64_25042` `div-inv_binary64_24968` `cbrt-unprod_binary64_25004` `frac-2neg_binary64_24982` `prod-exp_binary64_25020` `div-exp_binary64_25022` `cbrt-undiv_binary64_25005`

Counts

4 → 90

Calls

8 calls:

16.0ms	(/.f64 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b)) (+.f64 (+.f64 x t) y))
10.0ms	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b))
8.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a))
7.0ms	(*.f64 (+.f64 x y) z)
0.0ms	(*.f64 (+.f64 t y) a)

series1.9s (11%)

Counts

4 → 129

Calls

4 calls:

992.0ms	(/.f64 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b)) (+.f64 (+.f64 x t) y))
487.0ms	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b))
310.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a))
92.0ms	(*.f64 (+.f64 x y) z)

Compiler

Compiled 6509 to 4285 computations (34.2% saved)

simplify95.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5214	8732

prune311.0ms (1.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	208	11	219
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	209	11	220

Error

4.9b

Counts

220 → 11

Compiler

Compiled 7840 to 1359 computations (82.7% saved)

localize15.0ms (0.1%)

Local error

Found 8 expressions with local error:

1.4b	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a))
0.2b	(/.f64 1 (/.f64 (+.f64 x (+.f64 y t)) (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (*.f64 y b))))
0.0b	(*.f64 (+.f64 x y) z)
0.0b	(*.f64 (+.f64 y t) a)
0.2b	(/.f64 1 (/.f64 (+.f64 x (+.f64 y t)) (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (*.f64 y b))))
1.4b	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a))
1.9b	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (*.f64 y b))
24.0b	(/.f64 (+.f64 x (+.f64 y t)) (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (*.f64 y b)))

rewrite87.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

152×	`*-un-lft-identity_binary64_24971`
138×	`times-frac_binary64_24977`
72×	`add-cube-cbrt_binary64_25006` `add-sqr-sqrt_binary64_24993`
48×	`distribute-lft-out_binary64_24922`
24×	`associate-/r*_binary64_24915`
17×	`add-exp-log_binary64_25009`
11×	`add-log-exp_binary64_25010` `add-cbrt-cube_binary64_25007` `associate-/r/_binary64_24917`
8×	`associate-l/_binary64_24914` `associate-/l_binary64_24916` `div-exp_binary64_25022`
6×	`flip3--_binary64_24975` `flip3-+_binary64_24974` `flip-+_binary64_24945` `div-inv_binary64_24968` `flip--_binary64_24946`
5×	`pow1_binary64_25032`
4×	`cbrt-undiv_binary64_25005` `frac-add_binary64_24979`
2×	`sum-log_binary64_25062` `diff-log_binary64_25063` `associate-/l/_binary64_24918` `clear-num_binary64_24970` `rec-exp_binary64_25021` `frac-2neg_binary64_24982` `1-exp_binary64_25015`
1×	`+-commutative_binary64_24901` `inv-pow_binary64_25056` `sub-neg_binary64_24964` `cancel-sign-sub-inv_binary64_24937` `pow-flip_binary64_25045` `associate--l+_binary64_24908`

Counts

4 → 176

Calls

8 calls:

25.0ms	(/.f64 1 (/.f64 (+.f64 x (+.f64 y t)) (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (*.f64 y b))))
18.0ms	(/.f64 (+.f64 x (+.f64 y t)) (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (*.f64 y b)))
11.0ms	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (*.f64 y b))
8.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a))
0.0ms	(*.f64 (+.f64 y t) a)

series3.3s (19.3%)

Counts

4 → 145

Calls

4 calls:

1.6s	(/.f64 (+.f64 x (+.f64 y t)) (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (*.f64 y b)))
964.0ms	(/.f64 1 (/.f64 (+.f64 x (+.f64 y t)) (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (*.f64 y b))))
467.0ms	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (*.f64 y b))
304.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a))

Compiler

Compiled 12080 to 7408 computations (38.7% saved)

simplify148.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

321 → 321

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5469	16399

prune366.0ms (2.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	317	4	321
Fresh	2	8	10
Picked	0	1	1
Done	0	0	0
Total	319	13	332

Error

4.9b

Counts

332 → 13

Compiler

Compiled 13299 to 2311 computations (82.6% saved)

localize16.0ms (0.1%)

Local error

Found 8 expressions with local error:

1.0b	(/.f64 1 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (*.f64 y b)))
0.2b	(/.f64 1 (.f64 (+.f64 x (+.f64 y t)) (/.f64 1 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (.f64 y b)))))
0.0b	(*.f64 (+.f64 x y) z)
0.0b	(*.f64 (+.f64 y t) a)
1.0b	(/.f64 1 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (*.f64 y b)))
1.4b	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a))
1.9b	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (*.f64 y b))
22.8b	(.f64 (+.f64 x (+.f64 y t)) (/.f64 1 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (.f64 y b))))

rewrite68.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64_24993`
26×	`*-un-lft-identity_binary64_24971`
20×	`add-cube-cbrt_binary64_25006` `times-frac_binary64_24977`
17×	`add-exp-log_binary64_25009`
15×	`associate-r_binary64_24911`
11×	`add-log-exp_binary64_25010` `add-cbrt-cube_binary64_25007`
10×	`associate-*l/_binary64_24914`
7×	`flip3-+_binary64_24974` `flip-+_binary64_24945` `pow1_binary64_25032`
5×	`associate-l_binary64_24912`
4×	`prod-exp_binary64_25020` `associate-/r/_binary64_24917` `div-exp_binary64_25022` `frac-add_binary64_24979`
3×	`associate-/l_binary64_24916` `unswap-sqr_binary64_24939` `flip3--_binary64_24975` `associate-/r_binary64_24915` `flip--_binary64_24946` `distribute-lft-out_binary64_24922`
2×	`sum-log_binary64_25062` `diff-log_binary64_25063` `frac-times_binary64_24981` `rec-exp_binary64_25021` `div-inv_binary64_24968` `cbrt-unprod_binary64_25004` `1-exp_binary64_25015` `cbrt-undiv_binary64_25005`
1×	`+-commutative_binary64_24901` `un-div-inv_binary64_24969` `inv-pow_binary64_25056` `sub-neg_binary64_24964` `cancel-sign-sub-inv_binary64_24937` `clear-num_binary64_24970` `pow-flip_binary64_25045` `associate--l+_binary64_24908` `associate-r/_binary64_24913` `-commutative_binary64_24902` `pow-prod-down_binary64_25042` `frac-2neg_binary64_24982`

Counts

4 → 106

Calls

8 calls:

21.0ms	(.f64 (+.f64 x (+.f64 y t)) (/.f64 1 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (.f64 y b))))
15.0ms	(/.f64 1 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (*.f64 y b)))
11.0ms	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (*.f64 y b))
8.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a))
0.0ms	(*.f64 (+.f64 y t) a)

series2.9s (16.9%)

Counts

4 → 123

Calls

4 calls:

1.6s	(.f64 (+.f64 x (+.f64 y t)) (/.f64 1 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (.f64 y b))))
533.0ms	(/.f64 1 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (*.f64 y b)))
472.0ms	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (*.f64 y b))
313.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a))

Compiler

Compiled 10746 to 6877 computations (36% saved)

simplify104.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

229 → 229

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5034	7401

prune239.0ms (1.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	228	1	229
Fresh	1	10	11
Picked	1	0	1
Done	0	1	1
Total	230	12	242

Error

4.9b

Counts

242 → 12

Compiler

Compiled 7745 to 1818 computations (76.5% saved)

localize4.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms (0%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	10	10
Picked	1	1
Done	1	1
Total	12	12

Error

4.9b

Counts

12 → 12

Compiler

Compiled 0 to 0 computations (0% saved)

simplify29.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	432	1779
1	432	1779

regimes1.4s (8.3%)

Compiler: Compiled 7176 to 4902 computations (31.7% saved)

bsearch42.0ms (0.2%)

Steps

Iters	Range		Point
5	6.081880736092769e+31	1.470177090486517e+32	1.4535349447456728e+32
8	-4.039841048711918e+27	-2.823149312266854e+23	-3.020899892525743e+25

Compiler

Compiled 1 to 6 computations (-500% saved)

regimes897.0ms (5.2%)

Compiler: Compiled 2046 to 2208 computations (-7.9% saved)

bsearch71.0ms (0.4%)

Steps

Iters	Range		Point
5	6.081880736092769e+31	1.470177090486517e+32	6.165091464796989e+31
4	13345229.56290536	25648490.14406749	25156763.674746964
7	4.413804631931338e-62	6.351577004941426e-60	3.512505215968992e-60
9	-3.4833869714717896e-91	-5.565688276611936e-97	-6.708649747238631e-97

Compiler

Compiled 1 to 6 computations (-500% saved)

regimes547.0ms (3.2%)

Compiler: Compiled 1038 to 1332 computations (-28.3% saved)

bsearch51.0ms (0.3%)

Steps

Iters	Range		Point
10	4.4338712943436076e-58	5.650169113099196e-45	1.3790316293518516e-53
9	-3.4833869714717896e-91	-5.565688276611936e-97	-4.614171903040435e-93

Compiler

Compiled 1 to 6 computations (-500% saved)

regimes263.0ms (1.5%)

Compiler: Compiled 306 to 564 computations (-84.3% saved)

bsearch88.0ms (0.5%)

Steps

Iters	Range		Point
8	5.242213249587858e-201	2.3407745771838405e-198	1.711922132535804e-199
10	3.8405068878040085e-237	6.786469612198707e-223	1.3233721394245132e-225
3	1.0794658894139896e-269	1.312161042531219e-269	1.2394438071820847e-269
4	5.271614689121513e-300	1.0357676601362836e-299	9.09169720540087e-300
8	-1.088560821288477e-214	-5.100711542388404e-218	-3.3823847032482697e-217

Compiler

Compiled 1 to 6 computations (-500% saved)

regimes187.0ms (1.1%)

Compiler: Compiled 126 to 378 computations (-200% saved)

bsearch76.0ms (0.4%)

Steps

Iters	Range		Point
10	3.27240338345807e+116	9.732651151461514e+129	9.127253907026268e+129
4	6.326693857010061e-249	1.079345646547262e-248	6.437302581037496e-249
8	8.906228727921107e-288	4.8103573548418584e-285	1.3749308130433322e-286
8	-1.849045534003885e+138	-6.533299074650122e+135	-2.140049187278291e+137

Compiler

Compiled 1 to 6 computations (-500% saved)

regimes253.0ms (1.5%)

Compiler: Compiled 42 to 270 computations (-542.9% saved)

bsearch78.0ms (0.5%)

Steps

Iters	Range		Point
6	4.3068691485921447e+36	3.754001717493074e+37	1.346567444899453e+37
8	-1.459167403534136e-53	-6.772313090432493e-58	-1.4299364003405532e-53
10	-5.470961567892847e+29	-248270435849.2943	-4400682198416.613
6	-6.976049932194989e+104	-6.395822543749157e+103	-1.0044262308117548e+104

Compiler

Compiled 1 to 6 computations (-500% saved)

regimes60.0ms (0.3%)

Compiler: Compiled 36 to 234 computations (-550% saved)

bsearch0.0ms (0%)

regimes55.0ms (0.3%)

Accuracy

Total 12.0b remaining (72.9%)

Threshold costs 0b (0%)

Compiler

Compiled 30 to 198 computations (-560% saved)

bsearch8.0ms (0%)

Compiler: Compiled 225 to 153 computations (32% saved)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	160	313
1	160	313

end0.0ms (0%)

sample1.8s (10.3%)

Algorithm

1×

intervals

Results

454.0ms	7997×	body	128	valid
0.0ms	1×	body	1024	valid
0.0ms	2×	body	256	valid

Compiler

Compiled 1514 to 1010 computations (33.3% saved)

Pareto

0.24641213213285504

Details

analyze1.4s (8.3%)

sample28.0ms (0.2%)

simplify182.0ms (1.1%)

prune3.0ms (0%)

localize21.0ms (0.1%)

rewrite51.0ms (0.3%)

series1.9s (11%)

simplify95.0ms (0.6%)

prune311.0ms (1.8%)

localize15.0ms (0.1%)

rewrite87.0ms (0.5%)

series3.3s (19.3%)

simplify148.0ms (0.9%)

prune366.0ms (2.1%)

localize16.0ms (0.1%)

rewrite68.0ms (0.4%)

series2.9s (16.9%)

simplify104.0ms (0.6%)

prune239.0ms (1.4%)

localize4.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0%)

prune1.0ms (0%)

simplify29.0ms (0.2%)

regimes1.4s (8.3%)

bsearch42.0ms (0.2%)

regimes897.0ms (5.2%)

bsearch71.0ms (0.4%)

regimes547.0ms (3.2%)

bsearch51.0ms (0.3%)

regimes263.0ms (1.5%)

bsearch88.0ms (0.5%)

regimes187.0ms (1.1%)

bsearch76.0ms (0.4%)

regimes253.0ms (1.5%)

bsearch78.0ms (0.5%)

regimes60.0ms (0.3%)

bsearch0.0ms (0%)

regimes55.0ms (0.3%)

bsearch8.0ms (0%)

simplify8.0ms (0%)

end0.0ms (0%)

sample1.8s (10.3%)

Profiling