Details

analyze842.0ms (9.3%)

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%	90.4%	9.6%	9
0%	45.2%	54.8%	10
0%	45.2%	54.8%	11
0%	45.2%	54.8%	12
0%	45.2%	54.8%	13
0%	44.4%	55.6%	14

Compiler

Compiled 19 to 18 computations (5.3% saved)

sample104.0ms (1.1%)

Algorithm

1×

intervals

Results

27.0ms	326×	body	128	nan
20.0ms	234×	body	128	valid
17.0ms	164×	body	128	invalid
3.0ms	10×	body	512	valid
2.0ms	11×	body	256	valid
1.0ms	4×	body	512	invalid
1.0ms	5×	body	256	invalid
1.0ms	1×	body	1024	invalid
1.0ms	1×	body	1024	valid

Compiler

Compiled 37 to 41 computations (-10.8% saved)

simplify219.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5045	26

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

Merged error: 2.3b

Counts

2 → 2

Compiler

Compiled 87 to 82 computations (5.7% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))
0.1b	(*.f64 y (-.f64 (log.f64 z) t))
0.8b	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
5.1b	(log.f64 (-.f64 1 z))

rewrite53.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`add-sqr-sqrt_binary64_1477`
32×	`*-un-lft-identity_binary64_1455`
30×	`log-prod_binary64_1541`
24×	`distribute-rgt-in_binary64_1405` `associate--l+_binary64_1392` `distribute-lft-in_binary64_1404`
20×	`add-cube-cbrt_binary64_1490` `associate-+r+_binary64_1387`
18×	`cancel-sign-sub-inv_binary64_1421`
14×	`associate-+l+_binary64_1388`
10×	`associate-*r/_binary64_1397`
9×	`add-log-exp_binary64_1494`
8×	`pow1_binary64_1516`
7×	`difference-of-squares_binary64_1424` `add-exp-log_binary64_1493`
6×	`associate-r_binary64_1395` `add-cbrt-cube_binary64_1491` `flip--_binary64_1430` `sub-neg_binary64_1448` `flip3--_binary64_1459`
5×	`distribute-lft-out--_binary64_1407`
4×	`frac-add_binary64_1463`
3×	`exp-prod_binary64_1507` `associate-l_binary64_1396`
2×	`log-div_binary64_1542` `rem-exp-log_binary64_1495` `sum-log_binary64_1546` `log-pow_binary64_1544`
1×	`prod-exp_binary64_1504` `flip-+_binary64_1429` `*-commutative_binary64_1386` `cbrt-unprod_binary64_1488` `flip3-+_binary64_1458` `+-commutative_binary64_1385` `rem-log-exp_binary64_1496` `pow-prod-down_binary64_1526` `exp-sum_binary64_1501` `unswap-sqr_binary64_1423`

Counts

4 → 116

Calls

4 calls:

16.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
10.0ms	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))
9.0ms	(*.f64 y (-.f64 (log.f64 z) t))
4.0ms	(log.f64 (-.f64 1 z))

series763.0ms (8.4%)

Counts

4 → 12

Calls

4 calls:

334.0ms	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))
287.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
116.0ms	(*.f64 y (-.f64 (log.f64 z) t))
27.0ms	(log.f64 (-.f64 1 z))

simplify72.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4982	2680
1	4982	2680

prune223.0ms (2.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	123	5	128
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	125	5	130

Merged error: 0.8b

Counts

130 → 5

Compiler

Compiled 4270 to 2473 computations (42.1% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (-.f64 (neg.f64 z) (.f64 (.f64 z z) (+.f64 (*.f64 1/3 z) 1/2))) b))))
0.1b	(*.f64 y (-.f64 (log.f64 z) t))
0.3b	(*.f64 1/3 z)
0.8b	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (-.f64 (neg.f64 z) (.f64 (.f64 z z) (+.f64 (*.f64 1/3 z) 1/2))) b)))

rewrite113.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64_1477`
22×	`*-un-lft-identity_binary64_1455`
20×	`distribute-rgt-in_binary64_1405` `cancel-sign-sub-inv_binary64_1421` `distribute-lft-in_binary64_1404`
19×	`add-cube-cbrt_binary64_1490`
16×	`associate--l+_binary64_1392`
14×	`associate-+l+_binary64_1388`
12×	`log-prod_binary64_1541` `associate-+r+_binary64_1387`
10×	`associate-*r/_binary64_1397`
9×	`associate-r_binary64_1395` `pow1_binary64_1516` `add-log-exp_binary64_1494`
8×	`add-cbrt-cube_binary64_1491` `sub-neg_binary64_1448` `add-exp-log_binary64_1493`
6×	`associate-l_binary64_1396`
5×	`flip--_binary64_1430` `flip3--_binary64_1459`
4×	`frac-add_binary64_1463`
3×	`exp-prod_binary64_1507`
2×	`prod-exp_binary64_1504` `distribute-lft-out--_binary64_1407` `*-commutative_binary64_1386` `cbrt-unprod_binary64_1488` `rem-exp-log_binary64_1495` `sum-log_binary64_1546` `pow-prod-down_binary64_1526` `unswap-sqr_binary64_1423`
1×	`flip-+_binary64_1429` `difference-of-squares_binary64_1424` `flip3-+_binary64_1458` `+-commutative_binary64_1385` `exp-sum_binary64_1501` `log-pow_binary64_1544`

Counts

4 → 109

Calls

4 calls:

17.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (-.f64 (neg.f64 z) (.f64 (.f64 z z) (+.f64 (*.f64 1/3 z) 1/2))) b)))
14.0ms	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (-.f64 (neg.f64 z) (.f64 (.f64 z z) (+.f64 (*.f64 1/3 z) 1/2))) b))))
9.0ms	(*.f64 y (-.f64 (log.f64 z) t))
4.0ms	(*.f64 1/3 z)

series905.0ms (10%)

Counts

4 → 12

Calls

4 calls:

425.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (-.f64 (neg.f64 z) (.f64 (.f64 z z) (+.f64 (*.f64 1/3 z) 1/2))) b)))
353.0ms	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (-.f64 (neg.f64 z) (.f64 (.f64 z z) (+.f64 (*.f64 1/3 z) 1/2))) b))))
106.0ms	(*.f64 y (-.f64 (log.f64 z) t))
21.0ms	(*.f64 1/3 z)

simplify76.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5125	3071

prune231.0ms (2.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	120	6	126

Merged error: 0.0b

Counts

126 → 6

Compiler

Compiled 5147 to 2868 computations (44.3% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 E.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))
0.1b	(*.f64 y (-.f64 (log.f64 z) t))
0.8b	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
5.1b	(log.f64 (-.f64 1 z))

rewrite56.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`add-sqr-sqrt_binary64_1477`
33×	`*-un-lft-identity_binary64_1455`
30×	`log-prod_binary64_1541`
24×	`distribute-rgt-in_binary64_1405` `associate--l+_binary64_1392` `distribute-lft-in_binary64_1404`
21×	`add-cube-cbrt_binary64_1490`
20×	`associate-+r+_binary64_1387`
18×	`cancel-sign-sub-inv_binary64_1421`
14×	`associate-+l+_binary64_1388`
10×	`associate-*r/_binary64_1397`
9×	`pow1_binary64_1516`
8×	`add-exp-log_binary64_1493`
7×	`difference-of-squares_binary64_1424`
6×	`associate-r_binary64_1395` `add-log-exp_binary64_1494` `add-cbrt-cube_binary64_1491` `flip--_binary64_1430` `sub-neg_binary64_1448` `flip3--_binary64_1459`
5×	`distribute-lft-out--_binary64_1407`
4×	`frac-add_binary64_1463`
3×	`unpow-prod-down_binary64_1534` `pow-unpow_binary64_1532` `associate-l_binary64_1396`
2×	`log-div_binary64_1542` `pow-exp_binary64_1523` `log-pow_binary64_1544`
1×	`prod-exp_binary64_1504` `flip-+_binary64_1429` `*-commutative_binary64_1386` `pow-pow_binary64_1527` `pow-to-exp_binary64_1524` `sqr-pow_binary64_1427` `cbrt-unprod_binary64_1488` `flip3-+_binary64_1458` `unpow-prod-up_binary64_1533` `sum-log_binary64_1546` `+-commutative_binary64_1385` `rem-log-exp_binary64_1496` `pow-prod-down_binary64_1526` `unswap-sqr_binary64_1423` `e-exp-1_binary64_1500`

Counts

4 → 122

Calls

4 calls:

17.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
10.0ms	(*.f64 y (-.f64 (log.f64 z) t))
8.0ms	(pow.f64 E.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))
4.0ms	(log.f64 (-.f64 1 z))

series762.0ms (8.4%)

Counts

4 → 12

Calls

4 calls:

354.0ms	(pow.f64 E.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))
268.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
117.0ms	(*.f64 y (-.f64 (log.f64 z) t))
23.0ms	(log.f64 (-.f64 1 z))

simplify77.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4995	2988
1	4995	2988

prune167.0ms (1.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	134	6	140

Merged error: 0.0b

Counts

140 → 6

Compiler

Compiled 3687 to 1775 computations (51.9% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.8b	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
5.1b	(log.f64 (-.f64 1 z))
5.1b	(log.f64 (-.f64 1 z))
5.1b	(log.f64 (-.f64 1 z))

rewrite53.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`log-prod_binary64_1541`
30×	`add-sqr-sqrt_binary64_1477` `*-un-lft-identity_binary64_1455`
20×	`associate-+r+_binary64_1387`
18×	`associate--l+_binary64_1392`
17×	`distribute-rgt-in_binary64_1405` `distribute-lft-in_binary64_1404`
15×	`add-cube-cbrt_binary64_1490`
14×	`associate-+l+_binary64_1388`
12×	`cancel-sign-sub-inv_binary64_1421`
10×	`difference-of-squares_binary64_1424`
8×	`associate-*r/_binary64_1397`
7×	`pow1_binary64_1516` `flip--_binary64_1430` `flip3--_binary64_1459` `add-exp-log_binary64_1493`
6×	`log-div_binary64_1542` `add-log-exp_binary64_1494`
5×	`distribute-lft-out--_binary64_1407`
4×	`add-cbrt-cube_binary64_1491` `sub-neg_binary64_1448` `frac-add_binary64_1463`
3×	`rem-log-exp_binary64_1496` `log-pow_binary64_1544`
1×	`flip-+_binary64_1429` `flip3-+_binary64_1458` `sum-log_binary64_1546` `+-commutative_binary64_1385`

Counts

4 → 100

Calls

4 calls:

21.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
4.0ms	(log.f64 (-.f64 1 z))
4.0ms	(log.f64 (-.f64 1 z))
4.0ms	(log.f64 (-.f64 1 z))

series340.0ms (3.7%)

Counts

4 → 12

Calls

4 calls:

270.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
27.0ms	(log.f64 (-.f64 1 z))
22.0ms	(log.f64 (-.f64 1 z))
21.0ms	(log.f64 (-.f64 1 z))

simplify65.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5020	2283

prune314.0ms (3.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	112	6	118

Merged error: 0.0b

Counts

118 → 6

Compiler

Compiled 7034 to 3580 computations (49.1% saved)

regimes192.0ms (2.1%)

Compiler: Compiled 1641 to 1428 computations (13% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	140	38
1	140	38

end0.0ms (0%)

sample3.4s (37.1%)

Algorithm

1×

intervals

Results

869.0ms	10289×	body	128	nan
639.0ms	7351×	body	128	valid
451.0ms	5225×	body	128	invalid
89.0ms	281×	body	512	valid
75.0ms	121×	body	1024	valid
46.0ms	247×	body	256	valid
43.0ms	131×	body	512	invalid
28.0ms	40×	body	1024	invalid
22.0ms	121×	body	256	invalid

Compiler

Compiled 211 to 183 computations (13.3% saved)

Details

analyze842.0ms (9.3%)

sample104.0ms (1.1%)

simplify219.0ms (2.4%)

prune7.0ms (0.1%)

localize15.0ms (0.2%)

rewrite53.0ms (0.6%)

series763.0ms (8.4%)

simplify72.0ms (0.8%)

prune223.0ms (2.5%)

localize20.0ms (0.2%)

rewrite113.0ms (1.2%)

series905.0ms (10%)

simplify76.0ms (0.8%)

prune231.0ms (2.5%)

localize17.0ms (0.2%)

rewrite56.0ms (0.6%)

series762.0ms (8.4%)

simplify77.0ms (0.8%)

prune167.0ms (1.8%)

localize21.0ms (0.2%)

rewrite53.0ms (0.6%)

series340.0ms (3.7%)

simplify65.0ms (0.7%)

prune314.0ms (3.5%)

regimes192.0ms (2.1%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample3.4s (37.1%)

Profiling