Details

analyze277.0ms (6.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5024	18
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
50%	50%	0.1%	3
50%	50%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	31.2%	6.3%	6
68.7%	21.9%	9.5%	7
68.7%	17.2%	14.1%	8
71.8%	11.7%	16.5%	9
71.8%	9%	19.2%	10
73.4%	6%	20.6%	11
73.4%	4.6%	22%	12
74.1%	3.1%	22.8%	13
74.1%	2.3%	23.5%	14

Symmetry

(sort a x)

Compiler

Compiled 7 to 7 computations (0% saved)

sample47.0ms (1.1%)

Algorithm

1×

intervals

Results

18.0ms	60×	body	2048	valid
7.0ms	46×	body	1024	valid
2.0ms	30×	body	512	valid
2.0ms	98×	body	128	valid
1.0ms	22×	body	256	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify60.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4875	9
1	4875	9

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

25.9b

Counts

2 → 1

Compiler

Compiled 12 to 12 computations (0% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

3.2b	(-.f64 (exp.f64 (*.f64 a x)) 1)

rewrite37.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

25.9b

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 (*.f64 a x)) 1)

Compiler

Compiled 224 to 112 computations (50% saved)

series76.0ms (1.7%)

Error

0.1b

Counts

1 → 12

Calls

1 calls:

65.0ms

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

Compiler

Compiled 270 to 222 computations (17.8% saved)

simplify70.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5019	446

prune26.0ms (0.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	28	2	30
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	29	2	31

Error

0.0b

Counts

31 → 2

Compiler

Compiled 230 to 121 computations (47.4% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 1/6 (pow.f64 (.f64 a x) 3))
0.2b	(pow.f64 (*.f64 a x) 3)
0.2b	(pow.f64 (*.f64 a x) 2)
9.3b	(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 1/6 (pow.f64 (.f64 a x) 3)))

rewrite152.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

18×	`add-exp-log_binary64_1139`
11×	`add-sqr-sqrt_binary64_1123`
10×	`pow1_binary64_1162`
9×	`add-cbrt-cube_binary64_1137`
8×	`add-cube-cbrt_binary64_1136` `-un-lft-identity_binary64_1101` `associate-r*_binary64_1041`
7×	`prod-exp_binary64_1150`
6×	`add-log-exp_binary64_1140` `pow-unpow_binary64_1178` `pow-exp_binary64_1169`
4×	`pow-pow_binary64_1173` `sqr-pow_binary64_1073`
3×	`unpow-prod-down_binary64_1180` `pow-to-exp_binary64_1170` `associate-l_binary64_1042`
2×	`pow-prod-down_binary64_1172` `unpow3_binary64_1167` `cube-mult_binary64_1131` `cube-prod_binary64_1129` `rem-cube-cbrt_binary64_1124` `cbrt-unprod_binary64_1134` `unswap-sqr_binary64_1069`
1×	`sum-log_binary64_1192` `flip3-+_binary64_1104` `flip-+_binary64_1075` `+-commutative_binary64_1031` `unpow2_binary64_1166` `*-commutative_binary64_1032`

Counts

4 → 77

Calls

4 calls:

8.0ms	(.f64 1/6 (pow.f64 (.f64 a x) 3))
6.0ms	(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 1/6 (pow.f64 (.f64 a x) 3)))
4.0ms	(pow.f64 (*.f64 a x) 3)
4.0ms	(pow.f64 (*.f64 a x) 2)

Compiler

Compiled 1812 to 1032 computations (43% saved)

series792.0ms (18.1%)

Error

0.0b

Counts

4 → 30

Calls

4 calls:

391.0ms	(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 1/6 (pow.f64 (.f64 a x) 3)))
178.0ms	(.f64 1/6 (pow.f64 (.f64 a x) 3))
119.0ms	(pow.f64 (*.f64 a x) 3)
95.0ms	(pow.f64 (*.f64 a x) 2)

Compiler

Compiled 1201 to 931 computations (22.5% saved)

simplify52.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4994	1215
1	4994	1215

prune97.0ms (2.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	107	2	109

Error

0.0b

Counts

109 → 2

Compiler

Compiled 1370 to 762 computations (44.4% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

3.2b	(log.f64 (exp.f64 (-.f64 (exp.f64 (*.f64 a x)) 1)))
3.2b	(-.f64 (exp.f64 (*.f64 a x)) 1)

rewrite71.0ms (1.6%)

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×	`add-log-exp_binary64_1140` `difference-of-squares_binary64_1070` `exp-sum_binary64_1147`
3×	`pow1_binary64_1162`
2×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `sub-neg_binary64_1094` `difference-of-sqr-1_binary64_1071` `distribute-lft-out--_binary64_1053`
1×	`diff-log_binary64_1193` `flip3--_binary64_1105` `flip--_binary64_1076` `exp-diff_binary64_1149` `log-div_binary64_1188` `rem-log-exp_binary64_1142`

Counts

2 → 42

Calls

2 calls:

5.0ms	(log.f64 (exp.f64 (-.f64 (exp.f64 (*.f64 a x)) 1)))
4.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1)

Compiler

Compiled 580 to 323 computations (44.3% saved)

series371.0ms (8.5%)

Error

0.0b

Counts

2 → 24

Calls

2 calls:

285.0ms	(log.f64 (exp.f64 (-.f64 (exp.f64 (*.f64 a x)) 1)))
71.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1)

Compiler

Compiled 592 to 495 computations (16.4% saved)

simplify95.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	5000	932

prune55.0ms (1.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	66	2	68

Error

0.0b

Counts

68 → 2

Compiler

Compiled 499 to 261 computations (47.7% saved)

regimes812.0ms (18.6%)

Accuracy

Total 0.1b remaining (40.1%)

Threshold costs 0.1b (40.1%)

Compiler

Compiled 5127 to 4414 computations (13.9% saved)

bsearch3.0ms (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	32	66
1	32	66

end12.0ms (0.3%)

Remove: (sort a x)
Compiler: Compiled 126 to 78 computations (38.1% saved)

sample1.2s (28.2%)

Algorithm

1×

intervals

Results

408.0ms	1451×	body	2048	valid
250.0ms	1745×	body	1024	valid
85.0ms	1106×	body	512	valid
69.0ms	3107×	body	128	valid
32.0ms	591×	body	256	valid
3.0ms	142×	body	128	invalid

Compiler

Compiled 111 to 85 computations (23.4% saved)

Details

analyze277.0ms (6.3%)

sample47.0ms (1.1%)

simplify60.0ms (1.4%)

prune2.0ms (0.1%)

localize4.0ms (0.1%)

rewrite37.0ms (0.9%)

series76.0ms (1.7%)

simplify70.0ms (1.6%)

prune26.0ms (0.6%)

localize11.0ms (0.2%)

rewrite152.0ms (3.5%)

series792.0ms (18.1%)

simplify52.0ms (1.2%)

prune97.0ms (2.2%)

localize7.0ms (0.2%)

rewrite71.0ms (1.6%)

series371.0ms (8.5%)

simplify95.0ms (2.2%)

prune55.0ms (1.3%)

regimes812.0ms (18.6%)

bsearch3.0ms (0.1%)

simplify3.0ms (0.1%)

end12.0ms (0.3%)

sample1.2s (28.2%)

Profiling