Details

analyze111.0ms (3.5%)

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)

sample76.0ms (2.4%)

Algorithm

1×

intervals

Results

48.0ms	100×	body	1024	valid
11.0ms	55×	body	512	valid
3.0ms	83×	body	128	valid
2.0ms	16×	body	256	valid
1.0ms	2×	body	2048	valid

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify6.0ms (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

42.3b

Counts

2 → 1

Compiler

Compiled 8 to 8 computations (0% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

3.1b	(log.f64 (+.f64 1 x))

rewrite16.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

42.3b

Rules

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

Counts

1 → 15

Calls

1 calls:

3.0ms

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

Compiler

Compiled 152 to 124 computations (18.4% saved)

series40.0ms (1.2%)

Error

Counts

1 → 8

Calls

1 calls:

32.0ms

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

Compiler

Compiled 194 to 165 computations (14.9% saved)

simplify90.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	5302	245

prune17.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	21	2	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	3	24

Error

Counts

24 → 3

Compiler

Compiled 208 to 152 computations (26.9% 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)))))
0.3b	(*.f64 x 1/3)

rewrite100.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`add-sqr-sqrt_binary64_1123`
9×	`pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `add-cube-cbrt_binary64_1136` `-un-lft-identity_binary64_1101` `associate-l_binary64_1042` `associate-r*_binary64_1041`
4×	`associate-*r/_binary64_1043`
3×	`pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `add-log-exp_binary64_1140` `cbrt-unprod_binary64_1134` `unswap-sqr_binary64_1069` `*-commutative_binary64_1032`
2×	`distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050` `flip3-+_binary64_1104` `flip-+_binary64_1075`

Counts

3 → 62

Calls

3 calls:

10.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
10.0ms	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
4.0ms	(*.f64 x 1/3)

Compiler

Compiled 1156 to 859 computations (25.7% saved)

series129.0ms (4%)

Error

Counts

3 → 14

Calls

3 calls:

48.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
42.0ms	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
31.0ms	(*.f64 x 1/3)

Compiler

Compiled 363 to 298 computations (17.9% saved)

simplify85.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5102	916

prune71.0ms (2.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	76	3	79

Error

Counts

79 → 3

Compiler

Compiled 1173 to 839 computations (28.5% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(.f64 1/2 (.f64 x x))

rewrite22.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
3×	`pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `add-sqr-sqrt_binary64_1123` `associate-l_binary64_1042`
2×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
1×	`add-log-exp_binary64_1140` `unswap-sqr_binary64_1069` `associate-r_binary64_1041` `*-commutative_binary64_1032`

Counts

1 → 19

Calls

1 calls:

5.0ms

(*.f64 1/2 (*.f64 x x))

Compiler

Compiled 231 to 132 computations (42.9% saved)

series40.0ms (1.2%)

Error

Counts

1 → 3

Calls

1 calls:

38.0ms

(*.f64 1/2 (*.f64 x x))

Compiler

Compiled 63 to 52 computations (17.5% saved)

simplify60.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5148	179

prune16.0ms (0.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	22	3	25

Error

Counts

25 → 3

Compiler

Compiled 212 to 126 computations (40.6% saved)

regimes114.0ms (3.5%)

Accuracy

Total 0.5b remaining (92.3%)

Threshold costs 0.5b (92.3%)

Compiler

Compiled 435 to 379 computations (12.9% 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	48	34
1	48	34

end0.0ms (0%)

sample2.2s (68.5%)

Algorithm

1×

intervals

Results

1.1s	2658×	body	1024	valid
267.0ms	1336×	body	512	valid
153.0ms	279×	body	2048	valid
112.0ms	3084×	body	128	valid
64.0ms	643×	body	256	valid

Compiler

Compiled 158 to 135 computations (14.6% saved)

Details

analyze111.0ms (3.5%)

sample76.0ms (2.4%)

simplify6.0ms (0.2%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

rewrite16.0ms (0.5%)

series40.0ms (1.2%)

simplify90.0ms (2.8%)

prune17.0ms (0.5%)

localize7.0ms (0.2%)

rewrite100.0ms (3.1%)

series129.0ms (4%)

simplify85.0ms (2.6%)

prune71.0ms (2.2%)

localize4.0ms (0.1%)

rewrite22.0ms (0.7%)

series40.0ms (1.2%)

simplify60.0ms (1.9%)

prune16.0ms (0.5%)

regimes114.0ms (3.5%)

bsearch2.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.2s (68.5%)

Profiling