Details

analyze178.0ms (3.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
12.5%	43.7%	43.8%	7
12.5%	43.7%	43.8%	8
25%	28.1%	47%	9
28.1%	20.3%	51.6%	10
28.1%	20.3%	51.6%	11
34.3%	13.3%	52.4%	12
35.9%	9.8%	54.4%	13
35.9%	9.8%	54.4%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample21.0ms (0.4%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
0.0ms	9×	body	128	invalid

Compiler

Compiled 25 to 26 computations (-4% saved)

simplify429.0ms (8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (338.0ms)

Iter	Nodes	Cost
0	4889	18
1	4889	18

prune3.0ms (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

0.1b

Counts

2 → 1

Compiler

Compiled 24 to 22 computations (8.3% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
0.0b	(+.f64 (-.f64 1 z) (log.f64 z))
0.2b	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))

rewrite33.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`*-un-lft-identity_binary64_10990`
9×	`pow1_binary64_11051` `add-sqr-sqrt_binary64_11012`
8×	`add-log-exp_binary64_11029` `distribute-lft-out_binary64_10941`
7×	`add-cube-cbrt_binary64_11025` `associate-r_binary64_10930`
5×	`associate-+r+_binary64_10922` `add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
4×	`log-pow_binary64_11079` `distribute-lft-out--_binary64_10942` `associate-+l+_binary64_10923`
3×	`sum-log_binary64_11081` `log-prod_binary64_11076` `flip3-+_binary64_10993` `flip-+_binary64_10964` `associate-l_binary64_10931` `cancel-sign-sub-inv_binary64_10956`
2×	`associate-*r/_binary64_10932` `+-commutative_binary64_10920` `distribute-rgt-in_binary64_10940` `distribute-lft-in_binary64_10939`
1×	`prod-exp_binary64_11039` `diff-log_binary64_11082` `unswap-sqr_binary64_10958` `sub-neg_binary64_10983` `cbrt-unprod_binary64_11023` `associate-+l-_binary64_10925` `*-commutative_binary64_10921` `pow-prod-down_binary64_11061`

Counts

3 → 63

Calls

3 calls:

14.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
8.0ms	(+.f64 (-.f64 1 z) (log.f64 z))
6.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))

series431.0ms (8.1%)

Counts

3 → 28

Calls

3 calls:

283.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
114.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
34.0ms	(+.f64 (-.f64 1 z) (log.f64 z))

Compiler

Compiled 540 to 470 computations (13% saved)

simplify66.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4934	1249
1	4934	1249

prune91.0ms (1.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	85	6	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	6	92

Error

0.0b

Counts

92 → 6

Compiler

Compiled 1489 to 911 computations (38.8% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 z (log.f64 z))
0.0b	(+.f64 (.f64 x 1/2) (.f64 y (-.f64 1 (-.f64 z (log.f64 z)))))
0.0b	(-.f64 1 (-.f64 z (log.f64 z)))
0.2b	(*.f64 y (-.f64 1 (-.f64 z (log.f64 z))))

rewrite40.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`*-un-lft-identity_binary64_10990`
38×	`cancel-sign-sub-inv_binary64_10956`
34×	`add-sqr-sqrt_binary64_11012`
22×	`distribute-lft-out--_binary64_10942`
16×	`pow1_binary64_11051` `associate-+r+_binary64_10922` `distribute-rgt-in_binary64_10940` `distribute-lft-in_binary64_10939`
14×	`add-cube-cbrt_binary64_11025`
11×	`add-log-exp_binary64_11029`
10×	`log-pow_binary64_11079` `difference-of-squares_binary64_10959`
8×	`associate--r+_binary64_10926` `associate-r_binary64_10930`
7×	`sub-neg_binary64_10983`
6×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
5×	`associate--r-_binary64_10929`
4×	`diff-log_binary64_11082`
3×	`flip3--_binary64_10994` `flip--_binary64_10965` `log-prod_binary64_11076` `associate-l_binary64_10931`
2×	`associate-*r/_binary64_10932`
1×	`sum-log_binary64_11081` `prod-exp_binary64_11039` `unswap-sqr_binary64_10958` `flip3-+_binary64_10993` `flip-+_binary64_10964` `+-commutative_binary64_10920` `cbrt-unprod_binary64_11023` `*-commutative_binary64_10921` `pow-prod-down_binary64_11061`

Counts

4 → 118

Calls

4 calls:

11.0ms	(*.f64 y (-.f64 1 (-.f64 z (log.f64 z))))
8.0ms	(+.f64 (.f64 x 1/2) (.f64 y (-.f64 1 (-.f64 z (log.f64 z)))))
8.0ms	(-.f64 1 (-.f64 z (log.f64 z)))
5.0ms	(-.f64 z (log.f64 z))

series459.0ms (8.6%)

Counts

4 → 32

Calls

4 calls:

287.0ms	(+.f64 (.f64 x 1/2) (.f64 y (-.f64 1 (-.f64 z (log.f64 z)))))
109.0ms	(*.f64 y (-.f64 1 (-.f64 z (log.f64 z))))
34.0ms	(-.f64 z (log.f64 z))
29.0ms	(-.f64 1 (-.f64 z (log.f64 z)))

Compiler

Compiled 621 to 547 computations (11.9% saved)

simplify96.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4935	1791
1	4935	1791

prune127.0ms (2.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	149	1	150
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	149	7	156

Error

Counts

156 → 7

Compiler

Compiled 2429 to 1226 computations (49.5% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x 1/2) (+.f64 (.f64 y (-.f64 1 z)) (*.f64 y (log.f64 z))))
0.0b	(*.f64 y (-.f64 1 z))
0.1b	(+.f64 (.f64 y (-.f64 1 z)) (.f64 y (log.f64 z)))
0.2b	(*.f64 y (log.f64 z))

rewrite37.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_11012`
19×	`*-un-lft-identity_binary64_10990`
16×	`add-cube-cbrt_binary64_11025`
14×	`distribute-rgt-in_binary64_10940` `distribute-lft-in_binary64_10939`
12×	`log-prod_binary64_11076` `cancel-sign-sub-inv_binary64_10956`
11×	`add-log-exp_binary64_11029`
10×	`associate-r_binary64_10930`
9×	`pow1_binary64_11051`
8×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026` `associate-+l+_binary64_10923`
7×	`associate-+r+_binary64_10922`
6×	`associate-l_binary64_10931`
4×	`sum-log_binary64_11081` `sub-neg_binary64_10983`
2×	`prod-exp_binary64_11039` `associate-r/_binary64_10932` `unswap-sqr_binary64_10958` `flip3-+_binary64_10993` `flip-+_binary64_10964` `difference-of-squares_binary64_10959` `+-commutative_binary64_10920` `cbrt-unprod_binary64_11023` `-commutative_binary64_10921` `pow-prod-down_binary64_11061`
1×	`flip3--_binary64_10994` `log-pow_binary64_11079` `distribute-lft-out--_binary64_10942` `flip--_binary64_10965` `distribute-lft-out_binary64_10941`

Counts

4 → 95

Calls

4 calls:

9.0ms	(+.f64 (.f64 x 1/2) (+.f64 (.f64 y (-.f64 1 z)) (*.f64 y (log.f64 z))))
9.0ms	(+.f64 (.f64 y (-.f64 1 z)) (.f64 y (log.f64 z)))
7.0ms	(*.f64 y (-.f64 1 z))
5.0ms	(*.f64 y (log.f64 z))

series604.0ms (11.3%)

Counts

4 → 39

Calls

4 calls:

283.0ms	(+.f64 (.f64 x 1/2) (+.f64 (.f64 y (-.f64 1 z)) (*.f64 y (log.f64 z))))
130.0ms	(+.f64 (.f64 y (-.f64 1 z)) (.f64 y (log.f64 z)))
130.0ms	(*.f64 y (log.f64 z))
61.0ms	(*.f64 y (-.f64 1 z))

Compiler

Compiled 849 to 723 computations (14.8% saved)

simplify70.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5013	1620

prune117.0ms (2.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	133	1	134
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	135	6	141

Error

Counts

141 → 6

Compiler

Compiled 2297 to 1224 computations (46.7% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 y (log.f64 (cbrt.f64 z)))
0.3b	(+.f64 (.f64 y (.f64 2 (log.f64 (cbrt.f64 z)))) (*.f64 y (log.f64 (cbrt.f64 z))))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite29.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`log-prod_binary64_11076`
36×	`distribute-rgt-in_binary64_10940` `distribute-lft-in_binary64_10939`
30×	`cbrt-prod_binary64_11021`
26×	`add-sqr-sqrt_binary64_11012`
24×	`add-cube-cbrt_binary64_11025` `*-un-lft-identity_binary64_10990` `associate-+l+_binary64_10923`
12×	`associate-+r+_binary64_10922`
7×	`pow1_binary64_11051`
6×	`add-log-exp_binary64_11029` `add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
5×	`associate-r_binary64_10930`
3×	`associate-l_binary64_10931` `pow1/3_binary64_11072`
2×	`log-pow_binary64_11079`
1×	`sum-log_binary64_11081` `prod-exp_binary64_11039` `distribute-lft-out_binary64_10941` `unswap-sqr_binary64_10958` `flip3-+_binary64_10993` `flip-+_binary64_10964` `+-commutative_binary64_10920` `cbrt-unprod_binary64_11023` `*-commutative_binary64_10921` `pow-prod-down_binary64_11061`

Counts

4 → 102

Calls

4 calls:

11.0ms	(+.f64 (.f64 y (.f64 2 (log.f64 (cbrt.f64 z)))) (*.f64 y (log.f64 (cbrt.f64 z))))
6.0ms	(*.f64 y (log.f64 (cbrt.f64 z)))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series839.0ms (15.7%)

Counts

4 → 18

Calls

4 calls:

336.0ms	(+.f64 (.f64 y (.f64 2 (log.f64 (cbrt.f64 z)))) (*.f64 y (log.f64 (cbrt.f64 z))))
301.0ms	(*.f64 y (log.f64 (cbrt.f64 z)))
105.0ms	(cbrt.f64 z)
96.0ms	(cbrt.f64 z)

Compiler

Compiled 840 to 720 computations (14.3% saved)

simplify78.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4846	1320
1	4846	1320

prune132.0ms (2.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	120	6	126

Error

Counts

126 → 6

Compiler

Compiled 3114 to 1619 computations (48% saved)

regimes356.0ms (6.7%)

Accuracy

Total 0.1b remaining (95%)

Threshold costs 0.1b (95%)

Compiler

Compiled 3402 to 2747 computations (19.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	101	18
1	101	18

end0.0ms (0%)

sample1.1s (19.9%)

Algorithm

1×

intervals

Results

386.0ms	8000×	body	128	valid
14.0ms	292×	body	128	invalid
3.0ms	71×	body	128	nan

Compiler

Compiled 478 to 386 computations (19.2% saved)

Details

analyze178.0ms (3.3%)

sample21.0ms (0.4%)

simplify429.0ms (8%)

prune3.0ms (0%)

localize9.0ms (0.2%)

rewrite33.0ms (0.6%)

series431.0ms (8.1%)

simplify66.0ms (1.2%)

prune91.0ms (1.7%)

localize9.0ms (0.2%)

rewrite40.0ms (0.8%)

series459.0ms (8.6%)

simplify96.0ms (1.8%)

prune127.0ms (2.4%)

localize10.0ms (0.2%)

rewrite37.0ms (0.7%)

series604.0ms (11.3%)

simplify70.0ms (1.3%)

prune117.0ms (2.2%)

localize15.0ms (0.3%)

rewrite29.0ms (0.6%)

series839.0ms (15.7%)

simplify78.0ms (1.5%)

prune132.0ms (2.5%)

regimes356.0ms (6.7%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.1s (19.9%)

Profiling