Details

analyze1.9s (14.9%)

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)

sample170.0ms (1.4%)

Algorithm

1×

intervals

Results

35.0ms	49×	body	8192	valid
31.0ms	61×	body	4096	valid
28.0ms	370×	body	128	nan
15.0ms	35×	body	2048	valid
10.0ms	134×	body	128	invalid
7.0ms	24×	body	1024	valid
6.0ms	76×	body	128	valid
2.0ms	8×	body	512	valid
1.0ms	4×	body	512	invalid
1.0ms	2×	body	1024	invalid
0.0ms	3×	body	256	valid
0.0ms	1×	body	256	invalid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify127.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5019	69

prune7.0ms (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

Error

57.9b

Counts

2 → 2

Compiler

Compiled 144 to 75 computations (47.9% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

13.3b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
13.3b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
13.5b	(.f64 (/.f64 c0 (.f64 2 w)) (+.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)))))
31.1b	(+.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))))

rewrite164.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

151×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
82×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793`
32×	`cbrt-undiv_binary64_794` `div-exp_binary64_811`
11×	`*-un-lft-identity_binary64_760`
9×	`add-sqr-sqrt_binary64_782`
7×	`add-cube-cbrt_binary64_795` `associate-l_binary64_701`
6×	`add-log-exp_binary64_799` `frac-add_binary64_768` `sqrt-div_binary64_777` `pow1_binary64_821`
5×	`times-frac_binary64_766`
4×	`frac-times_binary64_770` `associate-r_binary64_700` `associate-*r/_binary64_702`
3×	`flip3-+_binary64_763` `div-inv_binary64_757` `flip-+_binary64_734` `flip--_binary64_735` `flip3--_binary64_764`
2×	`frac-2neg_binary64_771` `distribute-lft-out_binary64_711` `associate-/r_binary64_704` `associate-/l_binary64_705` `clear-num_binary64_759`
1×	`unswap-sqr_binary64_728` `associate-l/_binary64_703` `distribute-lft-in_binary64_709` `distribute-rgt-in_binary64_710` `+-commutative_binary64_690` `sum-log_binary64_851` `pow-prod-down_binary64_831` `-commutative_binary64_691`

Counts

4 → 138

Calls

4 calls:

61.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (+.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)))))
46.0ms	(+.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)))
13.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

series1.2s (9.4%)

Counts

4 → 12

Calls

4 calls:

664.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (+.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)))))
307.0ms	(+.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))))
105.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
92.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

simplify103.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5046	6313

prune256.0ms (2.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	143	7	150
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	144	8	152

Error

28.8b

Counts

152 → 8

Compiler

Compiled 9477 to 2139 computations (77.4% saved)

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune16.0ms (0.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	7	7
Picked	1	1
Done	0	0
Total	8	8

Error

28.8b

Counts

8 → 8

Compiler

Compiled 504 to 203 computations (59.7% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

13.1b	(/.f64 (.f64 d d) (.f64 D D))
13.3b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
13.3b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
34.1b	(+.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 w h)) (/.f64 (.f64 d d) (.f64 D D)))) (.f64 M M))))

rewrite107.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

154×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
82×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793`
34×	`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 → 121

Calls

4 calls:

47.0ms	(+.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 w h)) (/.f64 (.f64 d d) (.f64 D D)))) (.f64 M M))))
13.0ms	(/.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)))
11.0ms	(/.f64 (.f64 d d) (.f64 D D))

series537.0ms (4.3%)

Counts

4 → 12

Calls

4 calls:

306.0ms	(+.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 w h)) (/.f64 (.f64 d d) (.f64 D D)))) (.f64 M M))))
105.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
104.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
22.0ms	(/.f64 (.f64 d d) (.f64 D D))

simplify69.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5001	3343

prune188.0ms (1.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	129	4	133
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	131	10	141

Error

28.8b

Counts

141 → 10

Compiler

Compiled 7783 to 1694 computations (78.2% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

13.1b	(/.f64 (.f64 d d) (.f64 D D))
13.1b	(/.f64 (.f64 d d) (.f64 D D))
13.3b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
33.1b	(+.f64 (.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 d d) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 d d) (.f64 D D)))) (*.f64 M M))))

rewrite93.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

97×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
47×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793`
23×	`cbrt-undiv_binary64_794` `div-exp_binary64_811`
6×	`add-log-exp_binary64_799` `frac-add_binary64_768` `sqrt-div_binary64_777`
4×	`*-un-lft-identity_binary64_760` `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` `flip--_binary64_735` `flip3--_binary64_764`
2×	`associate-l/_binary64_703` `frac-times_binary64_770` `associate-r/_binary64_702`
1×	`flip3-+_binary64_763` `flip-+_binary64_734` `+-commutative_binary64_690` `sum-log_binary64_851`

Counts

4 → 102

Calls

4 calls:

48.0ms	(+.f64 (.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 d d) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 d d) (.f64 D D)))) (*.f64 M M))))
13.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
6.0ms	(/.f64 (.f64 d d) (.f64 D D))
6.0ms	(/.f64 (.f64 d d) (.f64 D D))

series724.0ms (5.8%)

Counts

4 → 12

Calls

4 calls:

581.0ms	(+.f64 (.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 d d) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 d d) (.f64 D D)))) (*.f64 M M))))
103.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
21.0ms	(/.f64 (.f64 d d) (.f64 D D))
19.0ms	(/.f64 (.f64 d d) (.f64 D D))

simplify73.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5075	3131

prune168.0ms (1.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	110	4	114
Fresh	2	5	7
Picked	1	0	1
Done	0	2	2
Total	113	11	124

Error

28.5b

Counts

124 → 11

Compiler

Compiled 6492 to 1450 computations (77.7% saved)

regimes767.0ms (6.2%)

Accuracy

Total 1.6b remaining (5%)

Threshold costs 0b (0%)

Compiler

Compiled 15864 to 7856 computations (50.5% saved)

bsearch5.0ms (0%)

Compiler: Compiled 52 to 21 computations (59.6% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	162
1	50	162

end0.0ms (0%)

sample5.7s (46.2%)

Algorithm

1×

intervals

Results

1.0s	2111×	body	4096	valid
927.0ms	11742×	body	128	nan
761.0ms	1195×	body	8192	valid
483.0ms	1229×	body	2048	valid
314.0ms	3939×	body	128	invalid
201.0ms	656×	body	1024	valid
191.0ms	2348×	body	128	valid
76.0ms	309×	body	512	valid
27.0ms	152×	body	256	valid
22.0ms	57×	body	2048	invalid
16.0ms	54×	body	1024	invalid
10.0ms	43×	body	512	invalid
6.0ms	9×	body	8192	exit
4.0ms	9×	body	4096	invalid
4.0ms	25×	body	256	invalid

Compiler

Compiled 1734 to 827 computations (52.3% saved)

Details

analyze1.9s (14.9%)

sample170.0ms (1.4%)

simplify127.0ms (1%)

prune7.0ms (0.1%)

localize24.0ms (0.2%)

rewrite164.0ms (1.3%)

series1.2s (9.4%)

simplify103.0ms (0.8%)

prune256.0ms (2.1%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0%)

prune16.0ms (0.1%)

localize26.0ms (0.2%)

rewrite107.0ms (0.9%)

series537.0ms (4.3%)

simplify69.0ms (0.6%)

prune188.0ms (1.5%)

localize23.0ms (0.2%)

rewrite93.0ms (0.7%)

series724.0ms (5.8%)

simplify73.0ms (0.6%)

prune168.0ms (1.3%)

regimes767.0ms (6.2%)

bsearch5.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample5.7s (46.2%)

Profiling