Details

analyze2.7s (17.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
5.1%	94.6%	0.3%	13
7%	92.7%	0.3%	14

Compiler

Compiled 19 to 19 computations (0% saved)

sample66.0ms (0.4%)

Algorithm

1×

intervals

Results

21.0ms	256×	body	128	valid
14.0ms	116×	body	128	nan
4.0ms	48×	body	128	invalid

Compiler

Compiled 37 to 43 computations (-16.2% saved)

simplify156.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	6100	27

prune3.0ms (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

Error

15.8b

Counts

2 → 1

Compiler

Compiled 36 to 36 computations (0% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.7b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
5.0b	(sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))))
5.3b	(/.f64 (.f64 M D) (.f64 2 d))
11.8b	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))

rewrite275.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

8.4b

Rules

67×	`add-exp-log_binary64_1139`
38×	`add-sqr-sqrt_binary64_1123`
27×	`prod-exp_binary64_1150`
23×	`add-cbrt-cube_binary64_1137`
19×	`div-exp_binary64_1152` `associate-r_binary64_1041`
17×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
15×	`times-frac_binary64_1107`
13×	`associate-l_binary64_1042`
10×	`pow-exp_binary64_1169` `unswap-sqr_binary64_1069`
7×	`pow1_binary64_1162` `cbrt-unprod_binary64_1134` `unpow-prod-down_binary64_1180` `sqrt-prod_binary64_1117`
5×	`cbrt-undiv_binary64_1135`
4×	`add-log-exp_binary64_1140` `sqrt-div_binary64_1118`
3×	`unpow2_binary64_1166` `sqr-pow_binary64_1073` `associate-*r/_binary64_1043` `div-inv_binary64_1098`
2×	`pow-to-exp_binary64_1170` `*-commutative_binary64_1032` `flip3--_binary64_1105` `flip--_binary64_1076`
1×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l_binary64_1046` `associate-/r_binary64_1045` `pow1/2_binary64_1181` `sqrt-pow1_binary64_1119` `rem-sqrt-square_binary64_1114` `pow-prod-down_binary64_1172`

Counts

4 → 116

Calls

4 calls:

18.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))
8.0ms	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
6.0ms	(/.f64 (.f64 M D) (.f64 2 d))
4.0ms	(sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))))

Compiler

Compiled 3444 to 1962 computations (43% saved)

series2.1s (13.5%)

Error

5.5b

Counts

4 → 75

Calls

4 calls:

775.0ms	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
649.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))
392.0ms	(sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))))
157.0ms	(/.f64 (.f64 M D) (.f64 2 d))

Compiler

Compiled 4648 to 4054 computations (12.8% saved)

simplify100.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5068	4299

prune256.0ms (1.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	181	10	191
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	182	10	192

Error

4.4b

Counts

192 → 10

Compiler

Compiled 4467 to 2322 computations (48% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

5.0b	(sqrt.f64 (-.f64 1 (/.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2)) l)))
5.2b	(/.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2)) l)
5.3b	(/.f64 (.f64 M D) (.f64 2 d))
6.0b	(.f64 h (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2))

rewrite182.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

4.0b

Rules

67×	`add-exp-log_binary64_1139`
26×	`prod-exp_binary64_1150`
23×	`add-cbrt-cube_binary64_1137`
20×	`div-exp_binary64_1152` `add-sqr-sqrt_binary64_1123`
13×	`*-un-lft-identity_binary64_1101`
10×	`pow-exp_binary64_1169` `add-cube-cbrt_binary64_1136` `associate-r_binary64_1041`
6×	`cbrt-unprod_binary64_1134` `unpow-prod-down_binary64_1180` `cbrt-undiv_binary64_1135` `sqrt-prod_binary64_1117`
5×	`pow1_binary64_1162` `times-frac_binary64_1107`
4×	`add-log-exp_binary64_1140` `unswap-sqr_binary64_1069` `associate-/r*_binary64_1045`
3×	`associate-l_binary64_1042` `div-inv_binary64_1098`
2×	`pow-to-exp_binary64_1170` `unpow2_binary64_1166` `sqr-pow_binary64_1073` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l*_binary64_1046` `sqrt-div_binary64_1118` `difference-of-squares_binary64_1070`
1×	`*-commutative_binary64_1032` `pow1/2_binary64_1181` `sqrt-pow1_binary64_1119` `flip3--_binary64_1105` `flip--_binary64_1076` `distribute-lft-out--_binary64_1053` `rem-sqrt-square_binary64_1114`

Counts

4 → 99

Calls

4 calls:

9.0ms	(/.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2)) l)
8.0ms	(.f64 h (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2))
7.0ms	(sqrt.f64 (-.f64 1 (/.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2)) l)))
6.0ms	(/.f64 (.f64 M D) (.f64 2 d))

Compiler

Compiled 2731 to 1689 computations (38.2% saved)

series1.7s (11%)

Error

4.0b

Counts

4 → 60

Calls

4 calls:

645.0ms	(/.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2)) l)
420.0ms	(.f64 h (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2))
408.0ms	(sqrt.f64 (-.f64 1 (/.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2)) l)))
139.0ms	(/.f64 (.f64 M D) (.f64 2 d))

Compiler

Compiled 3755 to 3348 computations (10.8% saved)

simplify100.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5183	3139

prune219.0ms (1.4%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	154	5	159
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	154	15	169

Error

3.2b

Counts

169 → 15

Compiler

Compiled 3707 to 2262 computations (39% saved)

localize1.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

3.2b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 3.2b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune18.0ms (0.1%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	13	13
Picked	1	1
Done	1	1
Total	15	15

Error

3.2b

Counts

15 → 15

Compiler

Compiled 279 to 247 computations (11.5% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

5.0b	(sqrt.f64 (-.f64 1 (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (/.f64 h l)))))
5.3b	(/.f64 (.f64 M D) (.f64 2 d))
5.3b	(/.f64 (.f64 M D) (.f64 2 d))
11.5b	(.f64 (/.f64 (.f64 M D) (*.f64 2 d)) (/.f64 h l))

rewrite217.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

3.2b

Rules

69×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
26×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134`
21×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
19×	`add-sqr-sqrt_binary64_1123`
13×	`add-cube-cbrt_binary64_1136` `-un-lft-identity_binary64_1101` `times-frac_binary64_1107` `associate-r*_binary64_1041`
7×	`pow1_binary64_1162`
5×	`associate-l_binary64_1042`
4×	`add-log-exp_binary64_1140` `div-inv_binary64_1098`
3×	`sqrt-prod_binary64_1117`
2×	`unswap-sqr_binary64_1069` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l_binary64_1046` `associate-/r_binary64_1045` `sqrt-div_binary64_1118`
1×	`pow-prod-down_binary64_1172` `frac-times_binary64_1111` `associate-l/_binary64_1044` `associate-r/_binary64_1043` `*-commutative_binary64_1032` `pow1/2_binary64_1181` `sqrt-pow1_binary64_1119` `flip3--_binary64_1105` `flip--_binary64_1076` `rem-sqrt-square_binary64_1114`

Counts

4 → 109

Calls

4 calls:

12.0ms	(.f64 (/.f64 (.f64 M D) (*.f64 2 d)) (/.f64 h l))
11.0ms	(sqrt.f64 (-.f64 1 (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (/.f64 h l)))))
6.0ms	(/.f64 (.f64 M D) (.f64 2 d))
6.0ms	(/.f64 (.f64 M D) (.f64 2 d))

Compiler

Compiled 3773 to 1881 computations (50.1% saved)

series1.2s (7.6%)

Error

3.2b

Counts

4 → 57

Calls

4 calls:

423.0ms	(.f64 (/.f64 (.f64 M D) (*.f64 2 d)) (/.f64 h l))
380.0ms	(sqrt.f64 (-.f64 1 (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (/.f64 h l)))))
151.0ms	(/.f64 (.f64 M D) (.f64 2 d))
148.0ms	(/.f64 (.f64 M D) (.f64 2 d))

Compiler

Compiled 3863 to 3017 computations (21.9% saved)

simplify88.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5003	2960

prune213.0ms (1.4%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	161	5	166
Fresh	5	7	12
Picked	1	0	1
Done	0	2	2
Total	167	14	181

Error

3.2b

Counts

181 → 14

Compiler

Compiled 4348 to 1981 computations (54.4% saved)

regimes2.5s (16%)

Accuracy

Total 5.6b remaining (63.1%)

Threshold costs 0b (0%)

Compiler

Compiled 23069 to 20956 computations (9.2% saved)

bsearch3.0ms (0%)

Compiler: Compiled 15 to 16 computations (-6.7% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	130	115
1	130	115

end0.0ms (0%)

sample3.4s (22%)

Algorithm

1×

intervals

Results

712.0ms	8000×	body	128	valid
270.0ms	3107×	body	128	nan
128.0ms	1420×	body	128	invalid

Compiler

Compiled 1515 to 1357 computations (10.4% saved)

Details

analyze2.7s (17.3%)

sample66.0ms (0.4%)

simplify156.0ms (1%)

prune3.0ms (0%)

localize13.0ms (0.1%)

rewrite275.0ms (1.8%)

series2.1s (13.5%)

simplify100.0ms (0.7%)

prune256.0ms (1.7%)

localize18.0ms (0.1%)

rewrite182.0ms (1.2%)

series1.7s (11%)

simplify100.0ms (0.7%)

prune219.0ms (1.4%)

localize1.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0%)

prune18.0ms (0.1%)

localize13.0ms (0.1%)

rewrite217.0ms (1.4%)

series1.2s (7.6%)

simplify88.0ms (0.6%)

prune213.0ms (1.4%)

regimes2.5s (16%)

bsearch3.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample3.4s (22%)

Profiling