Details

analyze3.0ms (0.1%)

Algorithm

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)

sample54.0ms (1.7%)

Algorithm

1×

intervals

Results

32.0ms	90×	body	1024	valid
9.0ms	50×	body	512	valid
3.0ms	7×	body	2048	valid
3.0ms	92×	body	128	valid
1.0ms	17×	body	256	valid

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify166.0ms (5.2%)

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

Merged error: 40.3b

Counts

2 → 1

Compiler

Compiled 8 to 8 computations (0% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

3.3b	(log.f64 (+.f64 1 x))

rewrite5.0ms (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:

4.0ms

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

series25.0ms (0.8%)

Counts

1 → 3

Calls

1 calls:

25.0ms

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

simplify89.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4863	210
1	4863	210

prune21.0ms (0.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	15	3	18
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	16	3	19

Merged error: 0.0b

Counts

19 → 3

Compiler

Compiled 199 to 155 computations (22.1% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
0.1b	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
0.3b	(*.f64 x 1/3)

rewrite22.0ms (0.7%)

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:

8.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
6.0ms	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
4.0ms	(*.f64 x 1/3)

series125.0ms (3.9%)

Counts

3 → 9

Calls

3 calls:

69.0ms	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
33.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
23.0ms	(*.f64 x 1/3)

simplify59.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5078	905

prune63.0ms (2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	71	3	74

Merged error: 0.0b

Counts

74 → 3

Compiler

Compiled 1178 to 879 computations (25.4% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))
0.1b	(.f64 x (+.f64 (.f64 x 1/3) -1/2))
0.3b	(*.f64 x 1/3)

rewrite25.0ms (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)))
7.0ms	(.f64 x (+.f64 (.f64 x 1/3) -1/2))
4.0ms	(*.f64 x 1/3)

series191.0ms (5.9%)

Counts

3 → 9

Calls

3 calls:

101.0ms	(.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))
69.0ms	(.f64 x (+.f64 (.f64 x 1/3) -1/2))
21.0ms	(*.f64 x 1/3)

simplify66.0ms (2%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5111	822

prune59.0ms (1.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	73	3	76

Merged error: 0.0b

Counts

76 → 3

Compiler

Compiled 1126 to 770 computations (31.6% saved)

localize5.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 1 x))
0.0b	(sqrt.f64 (+.f64 1 x))
3.3b	(log.f64 (sqrt.f64 (+.f64 1 x)))
3.3b	(log.f64 (sqrt.f64 (+.f64 1 x)))

rewrite21.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64_1101`
16×	`sqrt-prod_binary64_1117`
14×	`log-prod_binary64_1187`
12×	`add-sqr-sqrt_binary64_1123`
10×	`pow1_binary64_1162` `add-cube-cbrt_binary64_1136`
8×	`sqrt-div_binary64_1118`
6×	`add-exp-log_binary64_1139` `log-pow_binary64_1190`
4×	`add-log-exp_binary64_1140` `distribute-lft-out_binary64_1052` `sqrt-pow1_binary64_1119` `flip3-+_binary64_1104` `add-cbrt-cube_binary64_1137` `flip-+_binary64_1075` `log-div_binary64_1188` `pow1/2_binary64_1181`
2×	`rem-sqrt-square_binary64_1114` `rem-log-exp_binary64_1142`

Counts

4 → 72

Calls

4 calls:

4.0ms	(log.f64 (sqrt.f64 (+.f64 1 x)))
4.0ms	(log.f64 (sqrt.f64 (+.f64 1 x)))
4.0ms	(sqrt.f64 (+.f64 1 x))
3.0ms	(sqrt.f64 (+.f64 1 x))

series135.0ms (4.2%)

Counts

4 → 12

Calls

4 calls:

43.0ms	(log.f64 (sqrt.f64 (+.f64 1 x)))
40.0ms	(log.f64 (sqrt.f64 (+.f64 1 x)))
26.0ms	(sqrt.f64 (+.f64 1 x))
26.0ms	(sqrt.f64 (+.f64 1 x))

simplify93.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4956	1256
1	4956	1256

prune83.0ms (2.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	84	3	87

Merged error: 0.0b

Counts

87 → 3

Compiler

Compiled 1480 to 1148 computations (22.4% saved)

regimes87.0ms (2.7%)

Compiler: Compiled 545 to 479 computations (12.1% saved)

bsearch1.0ms (0%)

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

simplify2.0ms (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 (55.9%)

Algorithm

1×

intervals

Results

933.0ms	2619×	body	1024	valid
221.0ms	1293×	body	512	valid
126.0ms	264×	body	2048	valid
101.0ms	3107×	body	128	valid
60.0ms	717×	body	256	valid

Compiler

Compiled 184 to 157 computations (14.7% saved)

Details

analyze3.0ms (0.1%)

sample54.0ms (1.7%)

simplify166.0ms (5.2%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

rewrite5.0ms (0.1%)

series25.0ms (0.8%)

simplify89.0ms (2.8%)

prune21.0ms (0.6%)

localize6.0ms (0.2%)

rewrite22.0ms (0.7%)

series125.0ms (3.9%)

simplify59.0ms (1.8%)

prune63.0ms (2%)

localize8.0ms (0.3%)

rewrite25.0ms (0.8%)

series191.0ms (5.9%)

simplify66.0ms (2%)

prune59.0ms (1.8%)

localize5.0ms (0.2%)

rewrite21.0ms (0.6%)

series135.0ms (4.2%)

simplify93.0ms (2.9%)

prune83.0ms (2.6%)

regimes87.0ms (2.7%)

bsearch1.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.8s (55.9%)

Profiling