Details

analyze94.0ms (3.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	6
1	9	6
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	74.6%	25.4%	0
0%	74.6%	25.4%	1
37.3%	37.3%	25.4%	2
37.3%	18.7%	44%	3
46.7%	9.3%	44%	4
46.7%	4.7%	48.7%	5
49%	2.3%	48.7%	6
49%	1.2%	49.8%	7
49.6%	0.6%	49.8%	8
49.9%	0.3%	49.8%	9
49.9%	0.1%	50%	10
49.9%	0.1%	50.1%	11
49.9%	0%	50.1%	12
49.9%	0%	50.1%	13
49.9%	0%	50.1%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample43.0ms (1.7%)

Algorithm

1×

intervals

Results

18.0ms	142×	body	1024	valid
4.0ms	59×	body	512	valid
4.0ms	15×	body	128	valid
3.0ms	256×	pre	128	true
2.0ms	12×	body	2048	valid
1.0ms	28×	body	256	valid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	9	6
1	9	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

58.6b

Counts

2 → 1

Compiler

Compiled 8 to 8 computations (0% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

4.2b	(-.f64 (exp.f64 x) 1)

rewrite22.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

58.6b

Rules

6×	`add-sqr-sqrt_binary64_1123`
5×	`*-un-lft-identity_binary64_1101`
3×	`add-log-exp_binary64_1140` `cancel-sign-sub-inv_binary64_1067`
2×	`add-cube-cbrt_binary64_1136` `difference-of-squares_binary64_1070`
1×	`diff-log_binary64_1193` `pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `flip3--_binary64_1105` `sub-neg_binary64_1094` `flip--_binary64_1076` `difference-of-sqr-1_binary64_1071` `distribute-lft-out--_binary64_1053`

Counts

1 → 18

Calls

1 calls:

4.0ms

(-.f64 (exp.f64 x) 1)

Compiler

Compiled 185 to 119 computations (35.7% saved)

series26.0ms (1%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

16.0ms

(-.f64 (exp.f64 x) 1)

Compiler

Compiled 104 to 86 computations (17.3% saved)

simplify74.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4922	232
1	4922	232

prune18.0ms (0.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	22	2	24
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	23	2	25

Error

0.0b

Counts

25 → 2

Compiler

Compiled 210 to 132 computations (37.1% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 x (.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (.f64 x 1/24))))))
0.0b	(+.f64 1/6 (*.f64 x 1/24))
0.3b	(*.f64 x 1/24)
0.3b	(.f64 x (+.f64 1/6 (.f64 x 1/24)))

rewrite111.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `add-sqr-sqrt_binary64_1123`
9×	`add-cube-cbrt_binary64_1136` `-un-lft-identity_binary64_1101` `associate-l*_binary64_1042`
7×	`associate-r_binary64_1041`
6×	`add-log-exp_binary64_1140` `associate-*r/_binary64_1043`
5×	`pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050`
3×	`flip3-+_binary64_1104` `flip-+_binary64_1075` `*-commutative_binary64_1032`
2×	`unswap-sqr_binary64_1069`
1×	`sum-log_binary64_1192` `+-commutative_binary64_1031`

Counts

4 → 75

Calls

4 calls:

9.0ms	(.f64 x (.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (.f64 x 1/24))))))
6.0ms	(.f64 x (+.f64 1/6 (.f64 x 1/24)))
4.0ms	(*.f64 x 1/24)
3.0ms	(+.f64 1/6 (*.f64 x 1/24))

Compiler

Compiled 1688 to 1175 computations (30.4% saved)

series155.0ms (6%)

Error

0.0b

Counts

4 → 20

Calls

4 calls:

53.0ms	(.f64 x (+.f64 1/6 (.f64 x 1/24)))
39.0ms	(.f64 x (.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (.f64 x 1/24))))))
31.0ms	(+.f64 1/6 (*.f64 x 1/24))
19.0ms	(*.f64 x 1/24)

Compiler

Compiled 722 to 532 computations (26.3% saved)

simplify74.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4868	1156
1	4868	1156

prune88.0ms (3.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	95	2	97

Error

0.0b

Counts

97 → 2

Compiler

Compiled 1779 to 1233 computations (30.7% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(exp.f64 (-.f64 (exp.f64 x) 1))
4.2b	(-.f64 (exp.f64 x) 1)
4.2b	(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))

rewrite66.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

21×	`add-sqr-sqrt_binary64_1123`
18×	`*-un-lft-identity_binary64_1101`
14×	`exp-prod_binary64_1153`
9×	`add-cube-cbrt_binary64_1136` `cancel-sign-sub-inv_binary64_1067`
8×	`log-pow_binary64_1190` `exp-sum_binary64_1147` `add-log-exp_binary64_1140`
7×	`log-prod_binary64_1187`
6×	`difference-of-squares_binary64_1070`
4×	`pow1_binary64_1162`
3×	`difference-of-sqr-1_binary64_1071` `distribute-lft-out--_binary64_1053` `sub-neg_binary64_1094` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
2×	`exp-diff_binary64_1149` `diff-log_binary64_1193` `rem-exp-log_binary64_1141`
1×	`log-div_binary64_1188` `rem-log-exp_binary64_1142` `flip3--_binary64_1105` `flip--_binary64_1076`

Counts

3 → 63

Calls

3 calls:

6.0ms	(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
6.0ms	(exp.f64 (-.f64 (exp.f64 x) 1))
4.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 756 to 523 computations (30.8% saved)

series123.0ms (4.7%)

Error

0.0b

Counts

3 → 18

Calls

3 calls:

75.0ms	(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
21.0ms	(exp.f64 (-.f64 (exp.f64 x) 1))
16.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 340 to 289 computations (15% saved)

simplify42.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5059	730

prune46.0ms (1.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	81	2	83

Error

0.0b

Counts

83 → 2

Compiler

Compiled 732 to 474 computations (35.2% saved)

regimes93.0ms (3.6%)

Accuracy

Total 0.3b remaining (94.7%)

Threshold costs 0.3b (94.7%)

Compiler

Compiled 775 to 638 computations (17.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	22
1	19	22

end0.0ms (0%)

sample1.5s (57.7%)

Algorithm

1×

intervals

Results

544.0ms	4010×	body	1024	valid
148.0ms	2021×	body	512	valid
103.0ms	8002×	pre	128	true
59.0ms	427×	body	2048	valid
43.0ms	986×	body	256	valid
12.0ms	556×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 225 to 182 computations (19.1% saved)

Details

analyze94.0ms (3.6%)

sample43.0ms (1.7%)

simplify7.0ms (0.3%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

rewrite22.0ms (0.9%)

series26.0ms (1%)

simplify74.0ms (2.8%)

prune18.0ms (0.7%)

localize9.0ms (0.3%)

rewrite111.0ms (4.3%)

series155.0ms (6%)

simplify74.0ms (2.8%)

prune88.0ms (3.4%)

localize5.0ms (0.2%)

rewrite66.0ms (2.5%)

series123.0ms (4.7%)

simplify42.0ms (1.6%)

prune46.0ms (1.8%)

regimes93.0ms (3.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.5s (57.7%)

Profiling