Details

analyze10.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	50%	50%	2
25%	25%	50%	3
25%	12.5%	62.5%	4
25%	6.2%	68.8%	5
25%	3.1%	71.9%	6
25%	1.6%	73.5%	7
25%	0.8%	74.2%	8
25%	0.4%	74.6%	9
25%	0.2%	74.8%	10
25%	0.1%	74.9%	11
25%	0%	75%	12
25%	0%	75%	13
25%	0%	75%	14

Compiler

Compiled 7 to 5 computations (28.6% saved)

sample30.0ms (0.2%)

Algorithm

1×

intervals

Results

20.0ms

256×

body

128

valid

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify1.1s (6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (818.0ms)

Iter	Nodes	Cost
0	4965	10
1	4965	10

prune4.0ms (0%)

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: 0.3b

Counts

2 → 1

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize26.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(log.f64 (log.f64 x))
0.3b	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

rewrite50.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`log-prod_binary64_1187`
10×	`*-un-lft-identity_binary64_1101` `pow1_binary64_1162`
8×	`add-sqr-sqrt_binary64_1123` `log-pow_binary64_1190`
6×	`add-cube-cbrt_binary64_1136`
4×	`associate--r+_binary64_1037` `distribute-lft-out--_binary64_1053` `cancel-sign-sub-inv_binary64_1067`
3×	`add-exp-log_binary64_1139` `associate--l+_binary64_1038`
2×	`add-log-exp_binary64_1140` `add-cbrt-cube_binary64_1137`
1×	`diff-log_binary64_1193` `difference-of-squares_binary64_1070` `sub-neg_binary64_1094` `rem-log-exp_binary64_1142` `flip--_binary64_1076` `flip3--_binary64_1105`

Counts

2 → 40

Calls

2 calls:

34.0ms	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
3.0ms	(log.f64 (log.f64 x))

series1.1s (5.5%)

Counts

2 → 6

Calls

2 calls:

588.0ms	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
463.0ms	(log.f64 (log.f64 x))

simplify310.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (273.0ms)

Iter	Nodes	Cost
0	5069	484

prune515.0ms (2.7%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	29	17	46
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	18	47

Merged error: 0b

Counts

47 → 18

Compiler

Compiled 662 to 236 computations (64.4% saved)

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.3b	(/.f64 x (log.f64 x))

rewrite12.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`times-frac_binary64_1107`
10×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
5×	`pow1_binary64_1162`
4×	`log-pow_binary64_1190` `associate-/r*_binary64_1045`
3×	`add-exp-log_binary64_1139` `associate-/l*_binary64_1046` `add-cbrt-cube_binary64_1137`
1×	`add-log-exp_binary64_1140` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135`

Counts

1 → 31

Calls

1 calls:

8.0ms

(/.f64 x (log.f64 x))

series333.0ms (1.8%)

Counts

1 → 3

Calls

1 calls:

327.0ms

(/.f64 x (log.f64 x))

simplify188.0ms (1%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (159.0ms)

Iter	Nodes	Cost
0	5262	380

prune388.0ms (2%)

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	22	12	34
Fresh	7	9	16
Picked	0	1	1
Done	0	1	1
Total	29	23	52

Merged error: 0b

Counts

52 → 23

Compiler

Compiled 626 to 260 computations (58.5% saved)

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.3b	(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))

rewrite46.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

120×	`times-frac_binary64_1107`
83×	`distribute-rgt-neg-in_binary64_1059` `distribute-lft-neg-in_binary64_1058`
73×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
24×	`neg-mul-1_binary64_1097`
23×	`pow1_binary64_1162`
22×	`log-pow_binary64_1190`
12×	`associate-/r*_binary64_1045`
10×	`associate-/l*_binary64_1046`
3×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
1×	`add-log-exp_binary64_1140` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `neg-sub0_binary64_1096` `distribute-frac-neg_binary64_1064` `div-inv_binary64_1098` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `div-sub_binary64_1106`

Counts

1 → 156

Calls

1 calls:

23.0ms

(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))

series200.0ms (1.1%)

Counts

1 → 3

Calls

1 calls:

200.0ms

(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))

simplify222.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (149.0ms)

Iter	Nodes	Cost
0	4867	2786
1	4867	2786

prune1.7s (9.2%)

Pruning

31 alts after pruning (28 fresh and 3 done)

	Pruned	Kept	Total
New	139	20	159
Fresh	12	8	20
Picked	0	1	1
Done	0	2	2
Total	151	31	182

Merged error: 0b

Counts

182 → 31

Compiler

Compiled 2563 to 702 computations (72.6% saved)

localize17.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.3b	(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))

rewrite40.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

120×	`times-frac_binary64_1107`
83×	`distribute-rgt-neg-in_binary64_1059` `distribute-lft-neg-in_binary64_1058`
73×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
24×	`neg-mul-1_binary64_1097`
23×	`pow1_binary64_1162`
22×	`log-pow_binary64_1190`
12×	`associate-/r*_binary64_1045`
10×	`associate-/l*_binary64_1046`
3×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
1×	`add-log-exp_binary64_1140` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `neg-sub0_binary64_1096` `distribute-frac-neg_binary64_1064` `div-inv_binary64_1098` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `div-sub_binary64_1106`

Counts

1 → 156

Calls

1 calls:

15.0ms

(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))

series197.0ms (1%)

Counts

1 → 3

Calls

1 calls:

196.0ms

(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))

simplify214.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (155.0ms)

Iter	Nodes	Cost
0	4867	2786
1	4867	2786

prune2.3s (11.9%)

Pruning

36 alts after pruning (32 fresh and 4 done)

	Pruned	Kept	Total
New	138	21	159
Fresh	16	11	27
Picked	0	1	1
Done	0	3	3
Total	154	36	190

Merged error: 0b

Counts

190 → 36

Compiler

Compiled 2397 to 799 computations (66.7% saved)

regimes2.0s (10.7%)

Compiler: Compiled 6676 to 4028 computations (39.7% saved)

bsearch2.7s (14.1%)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	12
1	26	12

end0.0ms (0%)

sample5.2s (27.6%)

Algorithm

1×

intervals

Results

578.0ms	8000×	body	128	valid
0.0ms	2×	body	128	nan

Compiler

Compiled 2143 to 1304 computations (39.2% saved)

Pareto

0.0

Details

analyze10.0ms (0.1%)

sample30.0ms (0.2%)

simplify1.1s (6%)

prune4.0ms (0%)

localize26.0ms (0.1%)

rewrite50.0ms (0.3%)

series1.1s (5.5%)

simplify310.0ms (1.6%)

prune515.0ms (2.7%)

localize12.0ms (0.1%)

rewrite12.0ms (0.1%)

series333.0ms (1.8%)

simplify188.0ms (1%)

prune388.0ms (2%)

localize13.0ms (0.1%)

rewrite46.0ms (0.2%)

series200.0ms (1.1%)

simplify222.0ms (1.2%)

prune1.7s (9.2%)

localize17.0ms (0.1%)

rewrite40.0ms (0.2%)

series197.0ms (1%)

simplify214.0ms (1.1%)

prune2.3s (11.9%)

regimes2.0s (10.7%)

bsearch2.7s (14.1%)

simplify13.0ms (0.1%)

end0.0ms (0%)

sample5.2s (27.6%)

Profiling