Details

analyze98.0ms (3.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	6
1	7	6
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
62.5%	12.5%	25%	4
68.7%	6.2%	25%	5
71.8%	3.1%	25%	6
73.4%	1.6%	25%	7
74.2%	0.8%	25%	8
74.6%	0.4%	25%	9
74.8%	0.2%	25%	10
74.9%	0.1%	25%	11
74.9%	0%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	14

Compiler

Compiled 5 to 5 computations (0% saved)

sample51.0ms (1.7%)

Algorithm

1×

intervals

Results

32.0ms	97×	body	1024	valid
5.0ms	32×	body	512	valid
3.0ms	8×	body	2048	valid
3.0ms	100×	body	128	valid
2.0ms	19×	body	256	valid

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	6
1	7	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

Error

38.6b

Counts

2 → 1

Compiler

Compiled 8 to 8 computations (0% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

3.4b	(log.f64 (+.f64 1 x))

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64_1101` `log-prod_binary64_1187`
2×	`add-sqr-sqrt_binary64_1123` `add-exp-log_binary64_1139` `pow1_binary64_1162` `add-cube-cbrt_binary64_1136` `log-div_binary64_1188`
1×	`add-log-exp_binary64_1140` `distribute-lft-out_binary64_1052` `rem-log-exp_binary64_1142` `flip3-+_binary64_1104` `add-cbrt-cube_binary64_1137` `flip-+_binary64_1075` `log-pow_binary64_1190`

Counts

1 → 15

Calls

1 calls:

3.0ms

(log.f64 (+.f64 1 x))

series14.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

14.0ms

(log.f64 (+.f64 1 x))

simplify91.0ms (3%)

Algorithm

1×	egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4892	210
1	4892	210

prune22.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	15	3	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	4	19

Error

0.1b

Counts

19 → 4

Compiler

Compiled 209 to 163 computations (22% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
0.0b	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
0.4b	(*.f64 x 1/3)

rewrite19.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_1123`
9×	`-un-lft-identity_binary64_1101` `add-exp-log_binary64_1139` `pow1_binary64_1162` `add-cube-cbrt_binary64_1136` `add-cbrt-cube_binary64_1137` `associate-r_binary64_1041` `associate-l*_binary64_1042`
4×	`associate-*r/_binary64_1043`
3×	`*-commutative_binary64_1032` `cbrt-unprod_binary64_1134` `add-log-exp_binary64_1140` `prod-exp_binary64_1150` `pow-prod-down_binary64_1172` `unswap-sqr_binary64_1069`
2×	`distribute-lft-in_binary64_1050` `flip3-+_binary64_1104` `flip-+_binary64_1075` `distribute-rgt-in_binary64_1051`

Counts

3 → 62

Calls

3 calls:

5.0ms	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
5.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
4.0ms	(*.f64 x 1/3)

series65.0ms (2.1%)

Counts

3 → 9

Calls

3 calls:

35.0ms	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
18.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
12.0ms	(*.f64 x 1/3)

simplify69.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5102	905

prune73.0ms (2.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	70	5	75

Error

0.1b

Counts

75 → 5

Compiler

Compiled 1222 to 915 computations (25.1% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))
0.0b	(.f64 x (+.f64 (.f64 x 1/3) -1/2))
0.4b	(*.f64 x 1/3)

rewrite23.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_1123` `add-exp-log_binary64_1139` `pow1_binary64_1162` `add-cbrt-cube_binary64_1137`
9×	`associate-l_binary64_1042`
8×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
7×	`associate-r_binary64_1041`
6×	`associate-*r/_binary64_1043`
5×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `distribute-lft-in_binary64_1050` `pow-prod-down_binary64_1172` `distribute-rgt-in_binary64_1051`
3×	`*-commutative_binary64_1032` `add-log-exp_binary64_1140`
2×	`flip3-+_binary64_1104` `flip-+_binary64_1075` `unswap-sqr_binary64_1069`

Counts

3 → 64

Calls

3 calls:

9.0ms	(.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))
6.0ms	(.f64 x (+.f64 (.f64 x 1/3) -1/2))
4.0ms	(*.f64 x 1/3)

series90.0ms (3%)

Counts

3 → 9

Calls

3 calls:

46.0ms	(.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))
34.0ms	(.f64 x (+.f64 (.f64 x 1/3) -1/2))
11.0ms	(*.f64 x 1/3)

simplify60.0ms (2%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4933	822
1	4933	822

prune60.0ms (2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	73	5	78

Error

0.1b

Counts

78 → 5

Compiler

Compiled 1170 to 806 computations (31.1% saved)

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 x 1/3)
11.6b	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 -1/2 (.f64 x 1/3)))))
11.6b	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 (.f64 x 1/3) -1/2))))
11.6b	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 (.f64 x 1/3) -1/2))))

rewrite17.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_1123`
9×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136` `cbrt-prod_binary64_1132`
6×	`add-exp-log_binary64_1139` `pow1_binary64_1162` `add-cbrt-cube_binary64_1137` `cbrt-div_binary64_1133`
4×	`add-log-exp_binary64_1140`
3×	`pow1/3_binary64_1183` `flip3-+_binary64_1104` `associate-r_binary64_1041` `flip-+_binary64_1075` `associate-l_binary64_1042`
1×	`*-commutative_binary64_1032` `cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `pow-prod-down_binary64_1172` `unswap-sqr_binary64_1069`

Counts

4 → 57

Calls

4 calls:

4.0ms	(*.f64 x 1/3)
3.0ms	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 (.f64 x 1/3) -1/2))))
2.0ms	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 (.f64 x 1/3) -1/2))))
2.0ms	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 -1/2 (.f64 x 1/3)))))

series121.0ms (3.9%)

Counts

4 → 12

Calls

4 calls:

38.0ms	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 (.f64 x 1/3) -1/2))))
37.0ms	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 (.f64 x 1/3) -1/2))))
35.0ms	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 -1/2 (.f64 x 1/3)))))
10.0ms	(*.f64 x 1/3)

simplify85.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4949	1341
1	4949	1341

prune141.0ms (4.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	69	5	74

Error

0.1b

Counts

74 → 5

Compiler

Compiled 2862 to 2284 computations (20.2% saved)

regimes109.0ms (3.6%)

Accuracy

Total 0.3b remaining (86.3%)

Threshold costs 0.3b (86.3%)

Compiler

Compiled 858 to 722 computations (15.9% saved)

bsearch2.0ms (0.1%)

Compiler: Compiled 3 to 3 computations (0% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	31
1	23	31

end0.0ms (0%)

sample1.8s (58.9%)

Algorithm

1×

intervals

Results

871.0ms	2660×	body	1024	valid
220.0ms	1332×	body	512	valid
102.0ms	232×	body	2048	valid
100.0ms	3083×	body	128	valid
62.0ms	693×	body	256	valid

Compiler

Compiled 303 to 251 computations (17.2% saved)

Details

analyze98.0ms (3.2%)

sample51.0ms (1.7%)

simplify7.0ms (0.2%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

rewrite4.0ms (0.1%)

series14.0ms (0.4%)

simplify91.0ms (3%)

prune22.0ms (0.7%)

localize7.0ms (0.2%)

rewrite19.0ms (0.6%)

series65.0ms (2.1%)

simplify69.0ms (2.3%)

prune73.0ms (2.4%)

localize6.0ms (0.2%)

rewrite23.0ms (0.8%)

series90.0ms (3%)

simplify60.0ms (2%)

prune60.0ms (2%)

localize15.0ms (0.5%)

rewrite17.0ms (0.6%)

series121.0ms (3.9%)

simplify85.0ms (2.8%)

prune141.0ms (4.6%)

regimes109.0ms (3.6%)

bsearch2.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.8s (58.9%)

Profiling