Details

analyze100.0ms (3.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	6
1	9	6
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	74.6%	25.4%	0
0%	74.6%	25.4%	1
37.3%	37.3%	25.4%	2
37.3%	18.7%	44%	3
46.7%	9.3%	44%	4
46.7%	4.7%	48.7%	5
49%	2.3%	48.7%	6
49%	1.2%	49.8%	7
49.6%	0.6%	49.8%	8
49.9%	0.3%	49.8%	9
49.9%	0.1%	50%	10
49.9%	0.1%	50.1%	11
49.9%	0%	50.1%	12
49.9%	0%	50.1%	13
49.9%	0%	50.1%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample33.0ms (1.1%)

Algorithm

1×

intervals

Results

17.0ms	143×	body	1024	valid
4.0ms	61×	body	512	valid
3.0ms	256×	pre	128	true
1.0ms	11×	body	2048	valid
1.0ms	23×	body	256	valid
0.0ms	18×	body	128	valid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	9	6
1	9	6

prune2.0ms (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: 58.6b

Counts

2 → 1

Compiler

Compiled 8 to 8 computations (0% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

4.9b	(-.f64 (exp.f64 x) 1)

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_1464`
5×	`*-un-lft-identity_binary64_1442`
3×	`cancel-sign-sub-inv_binary64_1408` `add-log-exp_binary64_1481`
2×	`difference-of-squares_binary64_1411` `add-cube-cbrt_binary64_1477`
1×	`add-cbrt-cube_binary64_1478` `sub-neg_binary64_1435` `flip3--_binary64_1446` `difference-of-sqr-1_binary64_1412` `add-exp-log_binary64_1480` `flip--_binary64_1417` `diff-log_binary64_1534` `pow1_binary64_1503` `distribute-lft-out--_binary64_1394`

Counts

1 → 18

Calls

1 calls:

4.0ms

(-.f64 (exp.f64 x) 1)

series10.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

10.0ms

(-.f64 (exp.f64 x) 1)

simplify75.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4935	199
1	4935	199

prune155.0ms (5.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	19	2	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	3	22

Merged error: 0.0b

Counts

22 → 3

Compiler

Compiled 194 to 122 computations (37.1% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
0.0b	(.f64 x (.f64 x (+.f64 1/2 (*.f64 x 1/6))))
0.3b	(*.f64 x 1/6)

rewrite19.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480` `add-sqr-sqrt_binary64_1464` `pow1_binary64_1503`
9×	`associate-l_binary64_1383`
8×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
7×	`associate-r_binary64_1382`
6×	`associate-*r/_binary64_1384`
5×	`cbrt-unprod_binary64_1475` `pow-prod-down_binary64_1513` `distribute-lft-in_binary64_1391` `distribute-rgt-in_binary64_1392` `prod-exp_binary64_1491`
3×	`*-commutative_binary64_1373` `add-log-exp_binary64_1481`
2×	`flip3-+_binary64_1445` `flip-+_binary64_1416` `unswap-sqr_binary64_1410`

Counts

3 → 64

Calls

3 calls:

7.0ms	(.f64 x (.f64 x (+.f64 1/2 (*.f64 x 1/6))))
5.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
4.0ms	(*.f64 x 1/6)

series93.0ms (3.2%)

Counts

3 → 9

Calls

3 calls:

41.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
40.0ms	(.f64 x (.f64 x (+.f64 1/2 (*.f64 x 1/6))))
12.0ms	(*.f64 x 1/6)

simplify76.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4922	823
1	4922	823

prune58.0ms (2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	73	3	76

Merged error: 0.0b

Counts

76 → 3

Compiler

Compiled 1122 to 765 computations (31.8% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (cbrt.f64 (-.f64 (exp.f64 x) 1)) (cbrt.f64 (-.f64 (exp.f64 x) 1)))
4.9b	(-.f64 (exp.f64 x) 1)
4.9b	(-.f64 (exp.f64 x) 1)
4.9b	(-.f64 (exp.f64 x) 1)

rewrite38.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

55×	`add-sqr-sqrt_binary64_1464`
44×	`*-un-lft-identity_binary64_1442`
40×	`cbrt-prod_binary64_1473`
16×	`difference-of-squares_binary64_1411`
15×	`add-cube-cbrt_binary64_1477`
14×	`swap-sqr_binary64_1409`
12×	`cbrt-div_binary64_1474`
11×	`pow1_binary64_1503`
10×	`associate-r_binary64_1382` `associate-l_binary64_1383` `add-log-exp_binary64_1481`
9×	`cancel-sign-sub-inv_binary64_1408` `flip3--_binary64_1446` `difference-of-sqr-1_binary64_1412` `flip--_binary64_1417` `distribute-lft-out--_binary64_1394`
6×	`add-exp-log_binary64_1480` `pow1/3_binary64_1524`
4×	`add-cbrt-cube_binary64_1478` `frac-times_binary64_1452` `unswap-sqr_binary64_1410`
3×	`sub-neg_binary64_1435` `diff-log_binary64_1534`
2×	`associate-r/_binary64_1384` `pow-prod-down_binary64_1513` `pow-sqr_binary64_1415` `pow-prod-up_binary64_1512` `associate-l/_binary64_1385`
1×	`pow2_binary64_1523` `cbrt-unprod_binary64_1475` `pow-plus_binary64_1505` `*-commutative_binary64_1373` `prod-exp_binary64_1491`

Counts

4 → 118

Calls

4 calls:

15.0ms	(*.f64 (cbrt.f64 (-.f64 (exp.f64 x) 1)) (cbrt.f64 (-.f64 (exp.f64 x) 1)))
4.0ms	(-.f64 (exp.f64 x) 1)
4.0ms	(-.f64 (exp.f64 x) 1)
4.0ms	(-.f64 (exp.f64 x) 1)

series144.0ms (4.9%)

Counts

4 → 12

Calls

4 calls:

118.0ms	(*.f64 (cbrt.f64 (-.f64 (exp.f64 x) 1)) (cbrt.f64 (-.f64 (exp.f64 x) 1)))
9.0ms	(-.f64 (exp.f64 x) 1)
8.0ms	(-.f64 (exp.f64 x) 1)
8.0ms	(-.f64 (exp.f64 x) 1)

simplify77.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4900	1909
1	4900	1909

prune137.0ms (4.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	130	3	133

Merged error: 0.0b

Counts

133 → 3

Compiler

Compiled 2841 to 1902 computations (33.1% saved)

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 1 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1))))
4.8b	(-.f64 (pow.f64 (exp.f64 x) 3) 1)
4.9b	(-.f64 (exp.f64 x) 1)
4.9b	(-.f64 (exp.f64 x) 1)

rewrite47.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

101×	`add-sqr-sqrt_binary64_1464`
64×	`*-un-lft-identity_binary64_1442`
48×	`times-frac_binary64_1448`
44×	`difference-of-squares_binary64_1411`
28×	`add-cube-cbrt_binary64_1477`
22×	`difference-of-sqr-1_binary64_1412`
16×	`associate-/l*_binary64_1387`
15×	`cube-prod_binary64_1470` `sqr-pow_binary64_1414` `unpow-prod-down_binary64_1521`
10×	`add-log-exp_binary64_1481`
9×	`cancel-sign-sub-inv_binary64_1408`
7×	`distribute-lft-out--_binary64_1394`
6×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
4×	`flip3--_binary64_1446` `flip--_binary64_1417` `pow1_binary64_1503`
3×	`associate-/r*_binary64_1386` `sub-neg_binary64_1435` `diff-log_binary64_1534`
2×	`associate-/l/_binary64_1389` `associate-/r/_binary64_1388`
1×	`cbrt-undiv_binary64_1476` `div-inv_binary64_1439` `clear-num_binary64_1441` `frac-2neg_binary64_1453` `flip3-+_binary64_1445` `flip-+_binary64_1416` `div-sub_binary64_1447` `div-exp_binary64_1493`

Counts

4 → 147

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 1 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1))))
8.0ms	(-.f64 (pow.f64 (exp.f64 x) 3) 1)
5.0ms	(-.f64 (exp.f64 x) 1)
4.0ms	(-.f64 (exp.f64 x) 1)

series153.0ms (5.3%)

Counts

4 → 12

Calls

4 calls:

107.0ms	(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 1 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1))))
29.0ms	(-.f64 (pow.f64 (exp.f64 x) 3) 1)
8.0ms	(-.f64 (exp.f64 x) 1)
8.0ms	(-.f64 (exp.f64 x) 1)

simplify102.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5333	4490

prune336.0ms (11.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	159	3	162

Merged error: 0.0b

Counts

162 → 3

Compiler

Compiled 6183 to 4126 computations (33.3% saved)

regimes62.0ms (2.1%)

Compiler: Compiled 492 to 395 computations (19.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	16
1	14	16

end0.0ms (0%)

sample1.1s (39.5%)

Algorithm

1×

intervals

Results

502.0ms	4064×	body	1024	valid
131.0ms	1995×	body	512	valid
97.0ms	8000×	pre	128	true
58.0ms	436×	body	2048	valid
39.0ms	1000×	body	256	valid
10.0ms	505×	body	128	valid

Compiler

Compiled 142 to 112 computations (21.1% saved)

Details

analyze100.0ms (3.5%)

sample33.0ms (1.1%)

simplify7.0ms (0.2%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

rewrite5.0ms (0.2%)

series10.0ms (0.3%)

simplify75.0ms (2.6%)

prune155.0ms (5.3%)

localize6.0ms (0.2%)

rewrite19.0ms (0.7%)

series93.0ms (3.2%)

simplify76.0ms (2.6%)

prune58.0ms (2%)

localize6.0ms (0.2%)

rewrite38.0ms (1.3%)

series144.0ms (4.9%)

simplify77.0ms (2.6%)

prune137.0ms (4.7%)

localize14.0ms (0.5%)

rewrite47.0ms (1.6%)

series153.0ms (5.3%)

simplify102.0ms (3.5%)

prune336.0ms (11.5%)

regimes62.0ms (2.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.1s (39.5%)

Profiling