Details

analyze2.4s (9.9%)

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
0%	99.7%	0.3%	12
0%	98.1%	1.9%	13
0%	98.1%	1.9%	14

Compiler

Compiled 53 to 22 computations (58.5% saved)

sample194.0ms (0.8%)

Algorithm

1×

intervals

Results

40.0ms	67×	body	4096	valid
32.0ms	368×	body	128	nan
30.0ms	43×	body	8192	valid
18.0ms	41×	body	2048	valid
12.0ms	135×	body	128	invalid
8.0ms	11×	body	1024	valid
7.0ms	79×	body	128	valid
3.0ms	5×	body	2048	invalid
2.0ms	10×	body	512	valid
1.0ms	5×	body	256	valid
0.0ms	1×	body	1024	invalid
0.0ms	1×	body	256	invalid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify138.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5019	69

prune12.0ms (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

Error

59.6b

Counts

2 → 2

Compiler

Compiled 144 to 75 computations (47.9% saved)

localize28.0ms (0.1%)

Local error

Found 8 expressions with local error:

8.6b	(.f64 c0 (.f64 d d))
8.6b	(.f64 c0 (.f64 d d))
4.8b	(-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (.f64 M M))
0.2b	(.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D))))
17.2b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
17.2b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
17.2b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
29.6b	(+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M))))

rewrite147.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

211×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
117×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793`
45×	`cbrt-undiv_binary64_794` `div-exp_binary64_811`
6×	`*-un-lft-identity_binary64_760` `add-log-exp_binary64_799`
4×	`add-cube-cbrt_binary64_795` `pow1_binary64_821` `add-sqr-sqrt_binary64_782`
3×	`frac-2neg_binary64_771` `associate-/r_binary64_704` `div-inv_binary64_757` `associate-/l_binary64_705` `clear-num_binary64_759` `times-frac_binary64_766`
2×	`frac-add_binary64_768` `sqrt-div_binary64_777`
1×	`distribute-lft-out_binary64_711` `flip3-+_binary64_763` `flip-+_binary64_734` `+-commutative_binary64_690` `sum-log_binary64_851` `flip--_binary64_735` `flip3--_binary64_764`

Counts

4 → 143

Calls

8 calls:

68.0ms	(+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M))))
14.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
14.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
13.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
0.0ms	(.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D))))

series2.5s (10%)

Counts

4 → 71

Calls

4 calls:

799.0ms	(+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M))))
589.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
551.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
530.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 5972 to 3782 computations (36.7% saved)

simplify135.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5046	5195

prune380.0ms (1.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	207	7	214
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	209	7	216

Error

35.6b

Counts

216 → 7

Compiler

Compiled 11193 to 2090 computations (81.3% saved)

localize32.0ms (0.1%)

Local error

Found 8 expressions with local error:

11.9b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 w (.f64 (.f64 M M) (.f64 h (.f64 D D)))) (.f64 c0 (.f64 d d)))))
8.6b	(.f64 c0 (.f64 d d))
7.8b	(.f64 h (.f64 D D))
5.8b	(.f64 w (.f64 (.f64 M M) (.f64 h (*.f64 D D))))
8.6b	(.f64 c0 (.f64 d d))
11.9b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 w (.f64 (.f64 M M) (.f64 h (.f64 D D)))) (.f64 c0 (.f64 d d)))))
12.0b	(.f64 (.f64 M M) (.f64 h (.f64 D D)))
15.7b	(/.f64 (.f64 w (.f64 (.f64 M M) (.f64 h (.f64 D D)))) (.f64 c0 (*.f64 d d)))

rewrite173.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

819×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
557×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793`
148×	`cbrt-undiv_binary64_794` `div-exp_binary64_811`
35×	`pow1_binary64_821`
21×	`pow-prod-down_binary64_831`
11×	`associate-l_binary64_701`
8×	`add-sqr-sqrt_binary64_782`
7×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
4×	`add-log-exp_binary64_799` `times-frac_binary64_766`
3×	`associate-r_binary64_700` `associate-r/_binary64_702` `-commutative_binary64_691`
2×	`div-inv_binary64_757`
1×	`unswap-sqr_binary64_728` `frac-2neg_binary64_771` `associate-l/_binary64_703` `associate-/r_binary64_704` `associate-/l*_binary64_705` `frac-times_binary64_770` `clear-num_binary64_759`

Counts

4 → 285

Calls

8 calls:

32.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 w (.f64 (.f64 M M) (.f64 h (.f64 D D)))) (.f64 c0 (.f64 d d)))))
29.0ms	(/.f64 (.f64 w (.f64 (.f64 M M) (.f64 h (.f64 D D)))) (.f64 c0 (*.f64 d d)))
12.0ms	(.f64 (.f64 M M) (.f64 h (.f64 D D)))
6.0ms	(.f64 c0 (.f64 d d))
0.0ms	(.f64 w (.f64 (.f64 M M) (.f64 h (*.f64 D D))))

series1.7s (7%)

Counts

4 → 51

Calls

4 calls:

809.0ms	(/.f64 (.f64 w (.f64 (.f64 M M) (.f64 h (.f64 D D)))) (.f64 c0 (*.f64 d d)))
680.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 w (.f64 (.f64 M M) (.f64 h (.f64 D D)))) (.f64 c0 (.f64 d d)))))
179.0ms	(.f64 (.f64 M M) (.f64 h (.f64 D D)))
64.0ms	(.f64 c0 (.f64 d d))

Compiler

Compiled 2190 to 2088 computations (4.7% saved)

simplify159.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

336 → 336

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5464	9642

prune779.0ms (3.2%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	326	10	336
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	327	16	343

Error

24.8b

Counts

343 → 16

Compiler

Compiled 9319 to 2737 computations (70.6% saved)

localize10.0ms (0%)

Local error

Found 6 expressions with local error:

14.2b	(/.f64 (.f64 (.f64 h (.f64 D D)) (.f64 M M)) (*.f64 d d))
12.0b	(.f64 (.f64 h (.f64 D D)) (.f64 M M))
7.8b	(.f64 h (.f64 D D))
7.8b	(.f64 h (.f64 D D))
12.0b	(.f64 (.f64 h (.f64 D D)) (.f64 M M))
14.2b	(/.f64 (.f64 (.f64 h (.f64 D D)) (.f64 M M)) (*.f64 d d))

rewrite55.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

94×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
55×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793`
29×	`pow1_binary64_821`
18×	`pow-prod-down_binary64_831`
14×	`cbrt-undiv_binary64_794` `div-exp_binary64_811`
5×	`add-sqr-sqrt_binary64_782`
4×	`-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `associate-l*_binary64_701`
3×	`add-log-exp_binary64_799`
2×	`associate-r_binary64_700` `*-commutative_binary64_691`
1×	`unswap-sqr_binary64_728` `frac-2neg_binary64_771` `associate-/r_binary64_704` `div-inv_binary64_757` `associate-/l_binary64_705` `clear-num_binary64_759` `times-frac_binary64_766`

Counts

3 → 88

Calls

6 calls:

16.0ms	(/.f64 (.f64 (.f64 h (.f64 D D)) (.f64 M M)) (*.f64 d d))
12.0ms	(.f64 (.f64 h (.f64 D D)) (.f64 M M))
11.0ms	(.f64 h (.f64 D D))
0.0ms	(.f64 h (.f64 D D))
0.0ms	(/.f64 (.f64 (.f64 h (.f64 D D)) (.f64 M M)) (*.f64 d d))

series604.0ms (2.5%)

Counts

3 → 27

Calls

3 calls:

365.0ms	(/.f64 (.f64 (.f64 h (.f64 D D)) (.f64 M M)) (*.f64 d d))
170.0ms	(.f64 (.f64 h (.f64 D D)) (.f64 M M))
69.0ms	(.f64 h (.f64 D D))

Compiler

Compiled 810 to 876 computations (-8.1% saved)

simplify102.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4987	1788
1	4987	1788

prune154.0ms (0.6%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	106	9	115
Fresh	8	7	15
Picked	1	0	1
Done	0	0	0
Total	115	16	131

Error

20.6b

Counts

131 → 16

Compiler

Compiled 2404 to 846 computations (64.8% saved)

localize11.0ms (0%)

Local error

Found 8 expressions with local error:

10.4b	(.f64 (.f64 M M) (/.f64 (.f64 h (.f64 D D)) d))
7.8b	(.f64 h (.f64 D D))
7.0b	(/.f64 (.f64 h (.f64 D D)) d)
3.1b	(/.f64 (.f64 (.f64 M M) (/.f64 (.f64 h (.f64 D D)) d)) d)
3.1b	(/.f64 (.f64 (.f64 M M) (/.f64 (.f64 h (.f64 D D)) d)) d)
7.0b	(/.f64 (.f64 h (.f64 D D)) d)
7.8b	(.f64 h (.f64 D D))
10.4b	(.f64 (.f64 M M) (/.f64 (.f64 h (.f64 D D)) d))

rewrite69.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

92×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
42×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793`
24×	`cbrt-undiv_binary64_794` `div-exp_binary64_811`
14×	`pow1_binary64_821`
13×	`add-sqr-sqrt_binary64_782`
11×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
9×	`times-frac_binary64_766`
8×	`associate-r_binary64_700`
6×	`associate-/r*_binary64_704` `pow-prod-down_binary64_831`
4×	`add-log-exp_binary64_799` `associate-l_binary64_701`
3×	`div-inv_binary64_757`
2×	`unswap-sqr_binary64_728` `frac-2neg_binary64_771` `associate-/l_binary64_705` `associate-r/_binary64_702` `clear-num_binary64_759` `*-commutative_binary64_691`
1×	`associate-/l/_binary64_707`

Counts

4 → 114

Calls

8 calls:

18.0ms	(.f64 (.f64 M M) (/.f64 (.f64 h (.f64 D D)) d))
13.0ms	(/.f64 (.f64 (.f64 M M) (/.f64 (.f64 h (.f64 D D)) d)) d)
7.0ms	(/.f64 (.f64 h (.f64 D D)) d)
6.0ms	(.f64 h (.f64 D D))
0.0ms	(/.f64 (.f64 (.f64 M M) (/.f64 (.f64 h (.f64 D D)) d)) d)

series946.0ms (3.8%)

Counts

4 → 39

Calls

4 calls:

367.0ms	(/.f64 (.f64 (.f64 M M) (/.f64 (.f64 h (.f64 D D)) d)) d)
310.0ms	(.f64 (.f64 M M) (/.f64 (.f64 h (.f64 D D)) d))
181.0ms	(/.f64 (.f64 h (.f64 D D)) d)
88.0ms	(.f64 h (.f64 D D))

Compiler

Compiled 1170 to 1242 computations (-6.2% saved)

simplify125.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4967	2369
1	4967	2369

prune177.0ms (0.7%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	140	13	153
Fresh	5	10	15
Picked	1	0	1
Done	0	0	0
Total	146	23	169

Error

17.5b

Counts

169 → 23

Compiler

Compiled 2701 to 747 computations (72.3% saved)

simplify33.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	513	2404
1	513	2404

regimes2.1s (8.3%)

Accuracy

Total 9.0b remaining (32.6%)

Threshold costs 0b (0%)

Compiler

Compiled 16850 to 11856 computations (29.6% saved)

bsearch3.0ms (0%)

Compiler: Compiled 3 to 7 computations (-133.3% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	46	96
1	46	96

end0.0ms (0%)

sample11.5s (46.6%)

Algorithm

1×

intervals

Results

1.3s	2098×	body	4096	valid
1.2s	11890×	body	128	nan
942.0ms	1163×	body	8192	valid
685.0ms	1336×	body	2048	valid
418.0ms	3972×	body	128	invalid
256.0ms	634×	body	1024	valid
244.0ms	2351×	body	128	valid
83.0ms	271×	body	512	valid
37.0ms	72×	body	2048	invalid
33.0ms	147×	body	256	valid
22.0ms	54×	body	1024	invalid
13.0ms	46×	body	512	invalid
10.0ms	17×	body	4096	invalid
6.0ms	8×	body	8192	exit
3.0ms	16×	body	256	invalid

Compiler

Compiled 4978 to 3468 computations (30.3% saved)

Pareto

-0.34499138407708113

Details

analyze2.4s (9.9%)

sample194.0ms (0.8%)

simplify138.0ms (0.6%)

prune12.0ms (0%)

localize28.0ms (0.1%)

rewrite147.0ms (0.6%)

series2.5s (10%)

simplify135.0ms (0.5%)

prune380.0ms (1.5%)

localize32.0ms (0.1%)

rewrite173.0ms (0.7%)

series1.7s (7%)

simplify159.0ms (0.6%)

prune779.0ms (3.2%)

localize10.0ms (0%)

rewrite55.0ms (0.2%)

series604.0ms (2.5%)

simplify102.0ms (0.4%)

prune154.0ms (0.6%)

localize11.0ms (0%)

rewrite69.0ms (0.3%)

series946.0ms (3.8%)

simplify125.0ms (0.5%)

prune177.0ms (0.7%)

simplify33.0ms (0.1%)

regimes2.1s (8.3%)

bsearch3.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample11.5s (46.6%)

Profiling