Details

analyze187.0ms (3.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4809	13
1	4809	13
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	0.8%	49.2%	9
50.4%	0.4%	49.2%	10
50.4%	0.2%	49.4%	11
50.4%	0.1%	49.5%	12
50.4%	0%	49.6%	13
50.4%	0%	49.6%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample98.0ms (1.6%)

Algorithm

1×

intervals

Results

68.0ms	130×	body	2048	valid
15.0ms	68×	body	1024	valid
4.0ms	32×	body	512	valid
1.0ms	13×	body	256	valid
0.0ms	13×	body	128	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify90.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4809	13
1	4809	13

prune2.0ms (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

30.4b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (exp.f64 x) 2)
3.5b	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

rewrite61.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

30.3b

Rules

11×	`*-un-lft-identity_binary64_1442`
9×	`add-log-exp_binary64_1481`
6×	`add-sqr-sqrt_binary64_1464` `cancel-sign-sub-inv_binary64_1408`
4×	`add-cube-cbrt_binary64_1477` `frac-add_binary64_1450` `associate-+l+_binary64_1375`
3×	`flip3--_binary64_1446` `flip--_binary64_1417`
2×	`diff-log_binary64_1534` `sum-log_binary64_1533` `pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `neg-sub0_binary64_1437` `exp-diff_binary64_1490` `exp-neg_binary64_1489` `distribute-lft-out_binary64_1393` `distribute-lft-out--_binary64_1394` `sub-neg_binary64_1435`
1×	`flip3-+_binary64_1445` `flip-+_binary64_1416` `associate-+l-_binary64_1377` `+-commutative_binary64_1372` `difference-of-squares_binary64_1411`

Counts

2 → 39

Calls

2 calls:

8.0ms	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
4.0ms	(-.f64 (exp.f64 x) 2)

Compiler

Compiled 663 to 349 computations (47.4% saved)

series56.0ms (0.9%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

30.0ms	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
17.0ms	(-.f64 (exp.f64 x) 2)

Compiler

Compiled 283 to 221 computations (21.9% saved)

simplify74.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4844	726
1	4844	726

prune41.0ms (0.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	48	3	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	3	52

Error

0.0b

Counts

52 → 3

Compiler

Compiled 692 to 353 computations (49% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))
0.1b	(*.f64 1/12 (pow.f64 x 4))

rewrite43.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

10×	`add-sqr-sqrt_binary64_1464`
7×	`add-exp-log_binary64_1480` `associate-r_binary64_1382`
5×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
4×	`add-log-exp_binary64_1481` `add-cbrt-cube_binary64_1478` `unpow-prod-down_binary64_1521`
3×	`prod-exp_binary64_1491` `unswap-sqr_binary64_1410` `associate-l_binary64_1383`
2×	`pow1_binary64_1503` `sqr-pow_binary64_1414`
1×	`pow-to-exp_binary64_1511` `pow-exp_binary64_1510` `cbrt-unprod_binary64_1475` `*-commutative_binary64_1373` `sum-log_binary64_1533` `flip3-+_binary64_1445` `flip-+_binary64_1416` `+-commutative_binary64_1372`

Counts

2 → 36

Calls

2 calls:

5.0ms	(*.f64 1/12 (pow.f64 x 4))
4.0ms	(+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))

Compiler

Compiled 602 to 396 computations (34.2% saved)

series114.0ms (1.9%)

Error

0.0b

Counts

2 → 9

Calls

2 calls:

75.0ms	(+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))
34.0ms	(*.f64 1/12 (pow.f64 x 4))

Compiler

Compiled 188 to 151 computations (19.7% saved)

simplify65.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4951	522
1	4951	522

prune38.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	44	4	48

Error

0.0b

Counts

48 → 4

Compiler

Compiled 637 to 407 computations (36.1% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (exp.f64 x) (+.f64 4 (.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))))
0.0b	(+.f64 (exp.f64 x) (+.f64 -6 (pow.f64 (exp.f64 x) 3)))
0.0b	(pow.f64 (exp.f64 x) 3)
3.9b	(+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) (+.f64 -6 (pow.f64 (exp.f64 x) 3)))))

rewrite139.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`*-un-lft-identity_binary64_1442`
12×	`add-sqr-sqrt_binary64_1464`
11×	`add-log-exp_binary64_1481`
10×	`add-cube-cbrt_binary64_1477`
7×	`pow1_binary64_1503` `add-cbrt-cube_binary64_1478`
5×	`add-exp-log_binary64_1480`
4×	`sum-log_binary64_1533` `pow-pow_binary64_1514`
3×	`flip3-+_binary64_1445` `flip-+_binary64_1416` `associate-+r+_binary64_1374` `unpow-prod-down_binary64_1521` `pow-unpow_binary64_1519` `exp-prod_binary64_1494` `cube-prod_binary64_1470` `distribute-lft-out_binary64_1393` `associate-l_binary64_1383` `associate-r_binary64_1382`
2×	`distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391` `+-commutative_binary64_1372` `associate-*r/_binary64_1384`
1×	`pow-to-exp_binary64_1511` `pow-exp_binary64_1510` `unpow3_binary64_1508` `cube-mult_binary64_1472` `rem-cube-cbrt_binary64_1465` `sqr-pow_binary64_1414` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `unswap-sqr_binary64_1410` `*-commutative_binary64_1373`

Counts

4 → 76

Calls

4 calls:

9.0ms	(+.f64 (exp.f64 x) (+.f64 -6 (pow.f64 (exp.f64 x) 3)))
6.0ms	(.f64 (exp.f64 x) (+.f64 4 (.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))))
4.0ms	(+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) (+.f64 -6 (pow.f64 (exp.f64 x) 3)))))
4.0ms	(pow.f64 (exp.f64 x) 3)

Compiler

Compiled 2731 to 1563 computations (42.8% saved)

series253.0ms (4.2%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

85.0ms	(+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) (+.f64 -6 (pow.f64 (exp.f64 x) 3)))))
61.0ms	(.f64 (exp.f64 x) (+.f64 4 (.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))))
45.0ms	(+.f64 (exp.f64 x) (+.f64 -6 (pow.f64 (exp.f64 x) 3)))
36.0ms	(pow.f64 (exp.f64 x) 3)

Compiler

Compiled 1540 to 1022 computations (33.6% saved)

simplify72.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5071	1677

prune139.0ms (2.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	100	4	104

Error

Counts

104 → 4

Compiler

Compiled 3246 to 1905 computations (41.3% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (pow.f64 (exp.f64 x) 3/2) (pow.f64 (exp.f64 x) 3/2))
0.0b	(pow.f64 (exp.f64 x) 3/2)
0.0b	(pow.f64 (exp.f64 x) 3/2)
3.9b	(+.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) (+.f64 -6 (.f64 (pow.f64 (exp.f64 x) 3/2) (pow.f64 (exp.f64 x) 3/2))))))

rewrite244.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

30×	`add-sqr-sqrt_binary64_1464`
24×	`unpow-prod-down_binary64_1521`
18×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
12×	`sqr-pow_binary64_1414`
10×	`add-exp-log_binary64_1480`
9×	`prod-exp_binary64_1491` `unswap-sqr_binary64_1410`
8×	`pow-pow_binary64_1514` `pow-to-exp_binary64_1511` `pow-exp_binary64_1510`
7×	`swap-sqr_binary64_1409` `associate-l_binary64_1383` `associate-r_binary64_1382`
6×	`add-log-exp_binary64_1481` `pow1_binary64_1503` `add-cbrt-cube_binary64_1478` `pow-unpow_binary64_1519` `exp-prod_binary64_1494`
2×	`associate-+r+_binary64_1374`
1×	`sum-log_binary64_1533` `flip3-+_binary64_1445` `flip-+_binary64_1416` `distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391` `+-commutative_binary64_1372` `pow2_binary64_1523` `pow-prod-down_binary64_1513` `pow-prod-up_binary64_1512` `cbrt-unprod_binary64_1475` `pow-sqr_binary64_1415` `*-commutative_binary64_1373`

Counts

4 → 105

Calls

4 calls:

8.0ms	(*.f64 (pow.f64 (exp.f64 x) 3/2) (pow.f64 (exp.f64 x) 3/2))
4.0ms	(+.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) (+.f64 -6 (.f64 (pow.f64 (exp.f64 x) 3/2) (pow.f64 (exp.f64 x) 3/2))))))
3.0ms	(pow.f64 (exp.f64 x) 3/2)
3.0ms	(pow.f64 (exp.f64 x) 3/2)

Compiler

Compiled 4226 to 2467 computations (41.6% saved)

series296.0ms (4.9%)

Error

Counts

4 → 24

Calls

4 calls:

89.0ms	(+.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) (+.f64 -6 (.f64 (pow.f64 (exp.f64 x) 3/2) (pow.f64 (exp.f64 x) 3/2))))))
74.0ms	(pow.f64 (exp.f64 x) 3/2)
66.0ms	(pow.f64 (exp.f64 x) 3/2)
34.0ms	(*.f64 (pow.f64 (exp.f64 x) 3/2) (pow.f64 (exp.f64 x) 3/2))

Compiler

Compiled 1784 to 1162 computations (34.9% saved)

simplify79.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4948	1591
1	4948	1591

prune215.0ms (3.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	129	4	133

Error

Counts

133 → 4

Compiler

Compiled 4427 to 2578 computations (41.8% saved)

regimes112.0ms (1.8%)

Accuracy

Total 0.7b remaining (93.5%)

Threshold costs 0.7b (93.5%)

Compiler

Compiled 1237 to 893 computations (27.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	13
1	11	13

end0.0ms (0%)

sample3.6s (59.5%)

Algorithm

1×

intervals

Results

2.1s	4218×	body	2048	valid
443.0ms	2002×	body	1024	valid
117.0ms	974×	body	512	valid
34.0ms	435×	body	256	valid
14.0ms	371×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 600 to 436 computations (27.3% saved)

Details

analyze187.0ms (3.1%)

sample98.0ms (1.6%)

simplify90.0ms (1.5%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite61.0ms (1%)

series56.0ms (0.9%)

simplify74.0ms (1.2%)

prune41.0ms (0.7%)

localize6.0ms (0.1%)

rewrite43.0ms (0.7%)

series114.0ms (1.9%)

simplify65.0ms (1.1%)

prune38.0ms (0.6%)

localize14.0ms (0.2%)

rewrite139.0ms (2.3%)

series253.0ms (4.2%)

simplify72.0ms (1.2%)

prune139.0ms (2.3%)

localize17.0ms (0.3%)

rewrite244.0ms (4%)

series296.0ms (4.9%)

simplify79.0ms (1.3%)

prune215.0ms (3.5%)

regimes112.0ms (1.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.6s (59.5%)

Profiling