Details

analyze96.0ms (3.2%)

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)

sample36.0ms (1.2%)

Algorithm

1×

intervals

Results

17.0ms	133×	body	1024	valid
4.0ms	58×	body	512	valid
3.0ms	256×	pre	128	true
1.0ms	13×	body	2048	valid
1.0ms	32×	body	256	valid
0.0ms	20×	body	128	valid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify7.0ms (0.2%)

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

58.1b

Counts

2 → 1

Compiler

Compiled 8 to 8 computations (0% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

6.1b	(-.f64 (exp.f64 x) 1)

rewrite21.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

58.1b

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)

series28.0ms (0.9%)

Error

0.1b

Counts

1 → 6

Calls

1 calls:

16.0ms

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

Compiler

Compiled 104 to 86 computations (17.3% saved)

simplify74.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4922	232
1	4922	232

prune21.0ms (0.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	20	4	24
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	21	4	25

Error

0.0b

Counts

25 → 4

Compiler

Compiled 232 to 149 computations (35.8% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite99.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-sqr-sqrt_binary64_1123`
10×	`pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
9×	`associate-l_binary64_1042` `associate-r_binary64_1041`
6×	`add-log-exp_binary64_1140`
4×	`associate-*r/_binary64_1043`
3×	`pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `unswap-sqr_binary64_1069` `*-commutative_binary64_1032` `flip3-+_binary64_1104` `flip-+_binary64_1075`
2×	`distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050`
1×	`sum-log_binary64_1192` `+-commutative_binary64_1031`

Counts

4 → 73

Calls

4 calls:

8.0ms	(.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 1650 to 1164 computations (29.5% saved)

series145.0ms (4.7%)

Error

0.0b

Counts

4 → 20

Calls

4 calls:

51.0ms	(.f64 x (+.f64 1/6 (.f64 x 1/24)))
33.0ms	(.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
30.0ms	(+.f64 1/6 (*.f64 x 1/24))
18.0ms	(*.f64 x 1/24)

Compiler

Compiled 734 to 531 computations (27.7% saved)

simplify85.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4884	1083
1	4884	1083

prune86.0ms (2.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	93	4	97

Error

0.0b

Counts

97 → 4

Compiler

Compiled 1810 to 1260 computations (30.4% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 x) 1)
0.0b	(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1))
0.0b	(pow.f64 (exp.f64 x) 2)
6.1b	(+.f64 (pow.f64 (exp.f64 x) 2) -1)

rewrite145.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

53×	`*-un-lft-identity_binary64_1101`
33×	`add-sqr-sqrt_binary64_1123`
32×	`times-frac_binary64_1107`
24×	`difference-of-sqr--1_binary64_1072`
21×	`add-cube-cbrt_binary64_1136`
16×	`distribute-lft-out_binary64_1052`
9×	`unpow-prod-down_binary64_1180`
8×	`add-log-exp_binary64_1140` `associate-/l*_binary64_1046`
7×	`unpow2_binary64_1166` `sqr-pow_binary64_1073`
6×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
5×	`pow1_binary64_1162`
4×	`flip3-+_binary64_1104` `flip-+_binary64_1075` `pow-pow_binary64_1173` `associate-/r*_binary64_1045`
3×	`pow-unpow_binary64_1178` `exp-prod_binary64_1153`
2×	`sum-log_binary64_1192` `+-commutative_binary64_1031` `associate-/l/_binary64_1048` `associate-/r/_binary64_1047`
1×	`pow-to-exp_binary64_1170` `pow-exp_binary64_1169` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098`

Counts

4 → 109

Calls

4 calls:

14.0ms	(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1))
6.0ms	(+.f64 (pow.f64 (exp.f64 x) 2) -1)
4.0ms	(+.f64 (exp.f64 x) 1)
3.0ms	(pow.f64 (exp.f64 x) 2)

Compiler

Compiled 2200 to 1505 computations (31.6% saved)

series140.0ms (4.6%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

55.0ms	(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1))
32.0ms	(+.f64 (pow.f64 (exp.f64 x) 2) -1)
23.0ms	(pow.f64 (exp.f64 x) 2)
13.0ms	(+.f64 (exp.f64 x) 1)

Compiler

Compiled 716 to 570 computations (20.4% saved)

simplify70.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5379	2071

prune106.0ms (3.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	133	4	137

Error

0.0b

Counts

137 → 4

Compiler

Compiled 2088 to 1353 computations (35.2% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

6.1b	(-.f64 (exp.f64 x) 1)
6.4b	(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))

rewrite44.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-sqr-sqrt_binary64_1123`
12×	`*-un-lft-identity_binary64_1101`
8×	`log-pow_binary64_1190`
7×	`exp-prod_binary64_1153` `log-prod_binary64_1187`
6×	`add-cube-cbrt_binary64_1136` `cancel-sign-sub-inv_binary64_1067`
4×	`difference-of-squares_binary64_1070` `exp-sum_binary64_1147` `add-log-exp_binary64_1140`
3×	`pow1_binary64_1162`
2×	`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`
1×	`exp-diff_binary64_1149` `log-div_binary64_1188` `rem-log-exp_binary64_1142` `diff-log_binary64_1193` `flip3--_binary64_1105` `flip--_binary64_1076`

Counts

2 → 42

Calls

2 calls:

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

Compiler

Compiled 516 to 359 computations (30.4% saved)

series95.0ms (3.1%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

71.0ms	(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
17.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 248 to 209 computations (15.7% saved)

simplify106.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4899	492
1	4899	492

prune32.0ms (1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	54	4	58

Error

0.0b

Counts

58 → 4

Compiler

Compiled 483 to 314 computations (35% saved)

regimes119.0ms (3.9%)

Accuracy

Total 0.4b remaining (96%)

Threshold costs 0.4b (96%)

Compiler

Compiled 1065 to 876 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 (48%)

Algorithm

1×

intervals

Results

504.0ms	4038×	body	1024	valid
133.0ms	1987×	body	512	valid
98.0ms	8001×	pre	128	true
53.0ms	399×	body	2048	valid
39.0ms	1014×	body	256	valid
11.0ms	562×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 288 to 234 computations (18.8% saved)

Details

analyze96.0ms (3.2%)

sample36.0ms (1.2%)

simplify7.0ms (0.2%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

rewrite21.0ms (0.7%)

series28.0ms (0.9%)

simplify74.0ms (2.4%)

prune21.0ms (0.7%)

localize9.0ms (0.3%)

rewrite99.0ms (3.3%)

series145.0ms (4.7%)

simplify85.0ms (2.8%)

prune86.0ms (2.8%)

localize7.0ms (0.2%)

rewrite145.0ms (4.8%)

series140.0ms (4.6%)

simplify70.0ms (2.3%)

prune106.0ms (3.5%)

localize5.0ms (0.2%)

rewrite44.0ms (1.4%)

series95.0ms (3.1%)

simplify106.0ms (3.5%)

prune32.0ms (1%)

regimes119.0ms (3.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.5s (48%)

Profiling