Details

analyze5.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	49.7%	50.3%	0
0%	49.7%	50.3%	1
0%	49.7%	50.3%	2
24.8%	24.8%	50.3%	3
37.3%	12.4%	50.3%	4
43.5%	6.2%	50.3%	5
46.6%	3.1%	50.3%	6
48.1%	1.6%	50.3%	7
48.9%	0.8%	50.3%	8
49.3%	0.4%	50.3%	9
49.5%	0.2%	50.3%	10
49.6%	0.1%	50.3%	11
49.6%	0%	50.3%	12
49.7%	0%	50.3%	13
49.7%	0%	50.3%	14

Compiler

Compiled 15 to 12 computations (20% saved)

sample248.0ms (2.4%)

Algorithm

1×

intervals

Results

196.0ms	124×	body	2048	valid
29.0ms	64×	body	1024	valid
6.0ms	10×	body	4096	valid
5.0ms	256×	pre	128	true
5.0ms	34×	body	512	valid
2.0ms	17×	body	256	valid
0.0ms	7×	body	128	valid

Compiler

Compiled 23 to 20 computations (13% saved)

simplify99.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	72	12
1	72	12

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

Merged error: 60.1b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (tan.f64 x))
3.3b	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

rewrite27.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`add-sqr-sqrt_binary64_1464`
36×	`times-frac_binary64_1448`
35×	`*-un-lft-identity_binary64_1442`
19×	`add-cube-cbrt_binary64_1477`
14×	`cancel-sign-sub-inv_binary64_1408`
9×	`difference-of-squares_binary64_1411`
7×	`distribute-lft-out--_binary64_1394`
6×	`div-inv_binary64_1439` `add-exp-log_binary64_1480`
4×	`add-cbrt-cube_binary64_1478` `add-log-exp_binary64_1481`
3×	`associate-/r_binary64_1386` `associate-/l_binary64_1387` `pow1_binary64_1503`
2×	`associate-/r/_binary64_1388` `tan-quot_binary64_1601` `div-exp_binary64_1493`
1×	`inv-pow_binary64_1527` `cbrt-undiv_binary64_1476` `sub-neg_binary64_1435` `clear-num_binary64_1441` `1-exp_binary64_1486` `flip3--_binary64_1446` `frac-sub_binary64_1451` `rec-exp_binary64_1492` `pow-flip_binary64_1516` `flip--_binary64_1417` `frac-2neg_binary64_1453` `diff-log_binary64_1534`

Counts

2 → 74

Calls

2 calls:

18.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
4.0ms	(/.f64 1 (tan.f64 x))

series99.0ms (1%)

Counts

2 → 8

Calls

2 calls:

58.0ms	(/.f64 1 (tan.f64 x))
41.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

Compiler

Compiled 159 to 136 computations (14.5% saved)

simplify95.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4906	1078
1	4906	1078

prune71.0ms (0.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	1	83

Merged error: 0.3b

Counts

83 → 1

Compiler

Compiled 1032 to 656 computations (36.4% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x 1/3) (.f64 1/45 (pow.f64 x 3)))
0.1b	(*.f64 1/45 (pow.f64 x 3))
0.3b	(*.f64 x 1/3)

rewrite17.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_1464`
15×	`associate-r_binary64_1382`
10×	`add-exp-log_binary64_1480`
9×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
7×	`add-cbrt-cube_binary64_1478`
6×	`associate-l_binary64_1383`
5×	`add-log-exp_binary64_1481` `pow1_binary64_1503` `unswap-sqr_binary64_1410`
4×	`cube-prod_binary64_1470` `prod-exp_binary64_1491` `unpow-prod-down_binary64_1521`
2×	`cbrt-unprod_binary64_1475` `*-commutative_binary64_1373` `sqr-pow_binary64_1414`
1×	`cube-mult_binary64_1472` `sum-log_binary64_1533` `pow-exp_binary64_1510` `+-commutative_binary64_1372` `pow-prod-down_binary64_1513` `unpow3_binary64_1508` `flip3-+_binary64_1445` `flip-+_binary64_1416` `pow-to-exp_binary64_1511`

Counts

3 → 60

Calls

3 calls:

6.0ms	(*.f64 1/45 (pow.f64 x 3))
4.0ms	(+.f64 (.f64 x 1/3) (.f64 1/45 (pow.f64 x 3)))
3.0ms	(*.f64 x 1/3)

series74.0ms (0.7%)

Counts

3 → 10

Calls

3 calls:

33.0ms	(*.f64 1/45 (pow.f64 x 3))
24.0ms	(+.f64 (.f64 x 1/3) (.f64 1/45 (pow.f64 x 3)))
16.0ms	(*.f64 x 1/3)

Compiler

Compiled 166 to 150 computations (9.6% saved)

simplify56.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4929	673
1	4929	673

prune66.0ms (0.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	63	7	70
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	63	8	71

Merged error: 0.1b

Counts

71 → 8

Compiler

Compiled 1003 to 769 computations (23.3% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 x 1/3)) (cbrt.f64 (*.f64 x 1/3)))
0.6b	(cbrt.f64 (*.f64 x 1/3))
0.6b	(cbrt.f64 (*.f64 x 1/3))
0.6b	(cbrt.f64 (*.f64 x 1/3))

rewrite16.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64_1503`
10×	`add-sqr-sqrt_binary64_1464`
9×	`pow1/3_binary64_1524`
8×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
7×	`cbrt-prod_binary64_1473`
6×	`add-exp-log_binary64_1480`
4×	`associate-r_binary64_1382` `add-cbrt-cube_binary64_1478` `swap-sqr_binary64_1409` `associate-l_binary64_1383` `add-log-exp_binary64_1481`
2×	`pow-prod-down_binary64_1513` `pow-sqr_binary64_1415` `pow-prod-up_binary64_1512`
1×	`pow2_binary64_1523` `cbrt-unprod_binary64_1475` `pow-plus_binary64_1505` `*-commutative_binary64_1373` `prod-exp_binary64_1491` `unswap-sqr_binary64_1410`

Counts

4 → 58

Calls

4 calls:

5.0ms	(.f64 (cbrt.f64 (.f64 x 1/3)) (cbrt.f64 (*.f64 x 1/3)))
2.0ms	(cbrt.f64 (*.f64 x 1/3))
2.0ms	(cbrt.f64 (*.f64 x 1/3))
2.0ms	(cbrt.f64 (*.f64 x 1/3))

series449.0ms (4.4%)

Counts

4 → 12

Calls

4 calls:

129.0ms	(.f64 (cbrt.f64 (.f64 x 1/3)) (cbrt.f64 (*.f64 x 1/3)))
115.0ms	(cbrt.f64 (*.f64 x 1/3))
108.0ms	(cbrt.f64 (*.f64 x 1/3))
97.0ms	(cbrt.f64 (*.f64 x 1/3))

Compiler

Compiled 554 to 488 computations (11.9% saved)

simplify45.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5093	574

prune97.0ms (0.9%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	66	4	70
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	66	12	78

Merged error: 0.1b

Counts

78 → 12

Compiler

Compiled 1698 to 1386 computations (18.4% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 x 1/3)) (cbrt.f64 1/3))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 (*.f64 x 1/3))
0.6b	(cbrt.f64 (*.f64 x 1/3))

rewrite17.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_1464`
10×	`cbrt-prod_binary64_1473`
8×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
6×	`associate-r_binary64_1382` `add-exp-log_binary64_1480` `pow1_binary64_1503`
5×	`pow1/3_binary64_1524`
4×	`add-cbrt-cube_binary64_1478` `associate-l_binary64_1383` `add-log-exp_binary64_1481`
2×	`pow-prod-down_binary64_1513` `unswap-sqr_binary64_1410`
1×	`cbrt-unprod_binary64_1475` `*-commutative_binary64_1373` `prod-exp_binary64_1491`

Counts

4 → 53

Calls

4 calls:

8.0ms	(.f64 (cbrt.f64 (.f64 x 1/3)) (cbrt.f64 1/3))
2.0ms	(cbrt.f64 (*.f64 x 1/3))
2.0ms	(cbrt.f64 (*.f64 x 1/3))
1.0ms	(cbrt.f64 x)

series426.0ms (4.1%)

Counts

4 → 12

Calls

4 calls:

115.0ms	(.f64 (cbrt.f64 (.f64 x 1/3)) (cbrt.f64 1/3))
109.0ms	(cbrt.f64 (*.f64 x 1/3))
102.0ms	(cbrt.f64 x)
100.0ms	(cbrt.f64 (*.f64 x 1/3))

Compiler

Compiled 580 to 508 computations (12.4% saved)

simplify80.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4852	633
1	4852	633

prune83.0ms (0.8%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	62	3	65
Fresh	2	7	9
Picked	0	1	1
Done	0	2	2
Total	64	13	77

Merged error: 0.0b

Counts

77 → 13

Compiler

Compiled 1596 to 1243 computations (22.1% saved)

regimes144.0ms (1.4%)

Compiler: Compiled 1582 to 1311 computations (17.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	13
1	12	13

end0.0ms (0%)

sample8.0s (78.1%)

Algorithm

1×

intervals

Results

5.8s	4126×	body	2048	valid
721.0ms	1971×	body	1024	valid
157.0ms	8000×	pre	128	true
139.0ms	1003×	body	512	valid
119.0ms	220×	body	4096	valid
45.0ms	468×	body	256	valid
11.0ms	212×	body	128	valid

Compiler

Compiled 808 to 668 computations (17.3% saved)

Details

analyze5.0ms (0%)

sample248.0ms (2.4%)

simplify99.0ms (1%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite27.0ms (0.3%)

series99.0ms (1%)

simplify95.0ms (0.9%)

prune71.0ms (0.7%)

localize6.0ms (0.1%)

rewrite17.0ms (0.2%)

series74.0ms (0.7%)

simplify56.0ms (0.5%)

prune66.0ms (0.6%)

localize10.0ms (0.1%)

rewrite16.0ms (0.2%)

series449.0ms (4.4%)

simplify45.0ms (0.4%)

prune97.0ms (0.9%)

localize13.0ms (0.1%)

rewrite17.0ms (0.2%)

series426.0ms (4.1%)

simplify80.0ms (0.8%)

prune83.0ms (0.8%)

regimes144.0ms (1.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample8.0s (78.1%)

Profiling