Details

analyze268.0ms (2.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4918	40
1	4918	40
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
50%	50%	0%	4
93.7%	6.2%	0%	5
96.8%	3.1%	0%	6
98.4%	1.6%	0%	7
99.2%	0.8%	0%	8
99.6%	0.4%	0%	9
99.8%	0.2%	0%	10
99.9%	0.1%	0%	11
99.9%	0%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 36 to 29 computations (19.4% saved)

sample36.0ms (0.4%)

Algorithm

1×

intervals

Results

26.0ms

256×

body

128

valid

Compiler

Compiled 71 to 58 computations (18.3% saved)

simplify153.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (147.0ms)

Iter	Nodes	Cost
0	4918	40
1	4918	40

prune5.0ms (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

0.0b

Counts

2 → 2

Compiler

Compiled 89 to 72 computations (19.1% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))
0.1b	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))
0.1b	(*.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))))
0.1b	(*.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))))

rewrite599.0ms (6.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

146×	`*-un-lft-identity_binary64_1101`
74×	`times-frac_binary64_1107`
70×	`distribute-lft-out_binary64_1052`
58×	`add-sqr-sqrt_binary64_1123`
48×	`add-cube-cbrt_binary64_1136` `associate-r_binary64_1041`
18×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `div-inv_binary64_1098`
12×	`associate-/r*_binary64_1045`
8×	`pow1_binary64_1162` `associate-/r/_binary64_1047`
6×	`associate-l_binary64_1042` `associate-/l*_binary64_1046`
4×	`div-exp_binary64_1152` `prod-exp_binary64_1150` `add-log-exp_binary64_1140` `cbrt-unprod_binary64_1134` `cbrt-undiv_binary64_1135` `unswap-sqr_binary64_1069` `flip3-+_binary64_1104` `flip-+_binary64_1075`
2×	`pow-prod-down_binary64_1172` `associate-r/_binary64_1043` `-commutative_binary64_1032` `frac-2neg_binary64_1112` `clear-num_binary64_1100`

Counts

4 → 168

Calls

4 calls:

23.0ms	(*.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))))
21.0ms	(*.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))))
20.0ms	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))
20.0ms	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))

Compiler

Compiled 6194 to 4925 computations (20.5% saved)

series225.0ms (2.4%)

Error

0.0b

Counts

4 → 36

Calls

4 calls:

55.0ms	(*.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))))
43.0ms	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))
38.0ms	(*.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))))
34.0ms	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))

Compiler

Compiled 2260 to 1891 computations (16.3% saved)

simplify81.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5151	3416

prune503.0ms (5.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	204	0	204
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	204	2	206

Error

0.0b

Counts

206 → 2

Compiler

Compiled 6771 to 5319 computations (21.4% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))
0.0b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))))
0.0b	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
0.0b	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))

rewrite683.0ms (7.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

78×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
56×	`*-un-lft-identity_binary64_1101`
49×	`times-frac_binary64_1107`
32×	`add-sqr-sqrt_binary64_1123`
30×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134`
28×	`add-cube-cbrt_binary64_1136`
25×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
24×	`swap-sqr_binary64_1068`
20×	`associate-l_binary64_1042` `associate-r_binary64_1041`
18×	`pow1_binary64_1162` `associate-/r/_binary64_1047`
12×	`distribute-lft-out_binary64_1052`
11×	`flip3-+_binary64_1104` `flip-+_binary64_1075`
9×	`div-inv_binary64_1098`
6×	`add-log-exp_binary64_1140`
3×	`associate-/l_binary64_1046` `associate-/r_binary64_1045`
2×	`pow2_binary64_1182` `pow-prod-down_binary64_1172` `pow-prod-up_binary64_1171` `pow-plus_binary64_1164` `frac-times_binary64_1111` `pow-sqr_binary64_1074` `unswap-sqr_binary64_1069` `associate-l/_binary64_1044` `associate-r/_binary64_1043` `*-commutative_binary64_1032` `associate-/l/_binary64_1048`
1×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `sum-log_binary64_1192` `+-commutative_binary64_1031`

Counts

4 → 176

Calls

4 calls:

20.0ms	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
18.0ms	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
16.0ms	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))))
5.0ms	(+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))

Compiler

Compiled 8833 to 6857 computations (22.4% saved)

series211.0ms (2.3%)

Error

0.0b

Counts

4 → 36

Calls

4 calls:

47.0ms	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))))
42.0ms	(+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))
40.0ms	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
35.0ms	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))

Compiler

Compiled 1896 to 1603 computations (15.5% saved)

simplify134.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4965	4594
1	4965	4594

prune514.0ms (5.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	210	2	212
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	211	3	214

Error

Counts

214 → 3

Compiler

Compiled 7503 to 5910 computations (21.2% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 -2 (pow.f64 (sqrt.f64 (/.f64 (*.f64 t 2) (+.f64 t 1))) 4))
0.0b	(/.f64 (-.f64 -1 (pow.f64 (sqrt.f64 (/.f64 (.f64 t 2) (+.f64 t 1))) 4)) (-.f64 -2 (pow.f64 (sqrt.f64 (/.f64 (.f64 t 2) (+.f64 t 1))) 4)))
0.6b	(pow.f64 (sqrt.f64 (/.f64 (*.f64 t 2) (+.f64 t 1))) 4)
0.6b	(pow.f64 (sqrt.f64 (/.f64 (*.f64 t 2) (+.f64 t 1))) 4)

rewrite849.0ms (9.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

167×	`add-sqr-sqrt_binary64_1123`
78×	`*-un-lft-identity_binary64_1101`
77×	`unpow-prod-down_binary64_1180`
76×	`times-frac_binary64_1107` `difference-of-squares_binary64_1070`
49×	`sqrt-prod_binary64_1117`
34×	`add-cube-cbrt_binary64_1136`
22×	`sqr-pow_binary64_1073`
19×	`distribute-lft-out--_binary64_1053`
17×	`cancel-sign-sub-inv_binary64_1067`
8×	`associate-/r/_binary64_1047` `pow1_binary64_1162` `add-exp-log_binary64_1139` `associate-/l_binary64_1046` `associate-/r_binary64_1045`
6×	`pow-unpow_binary64_1178` `pow-pow_binary64_1173` `add-log-exp_binary64_1140` `add-cbrt-cube_binary64_1137`
4×	`div-inv_binary64_1098`
3×	`distribute-lft-out_binary64_1052` `flip3-+_binary64_1104` `flip-+_binary64_1075` `flip3--_binary64_1105` `flip--_binary64_1076`
2×	`pow1/2_binary64_1181` `sqrt-pow1_binary64_1119` `pow-to-exp_binary64_1170` `pow-exp_binary64_1169` `sqrt-pow2_binary64_1120` `associate-/l/_binary64_1048`
1×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `div-sub_binary64_1106` `clear-num_binary64_1100` `diff-log_binary64_1193` `sub-neg_binary64_1094`

Counts

4 → 190

Calls

4 calls:

43.0ms	(/.f64 (-.f64 -1 (pow.f64 (sqrt.f64 (/.f64 (.f64 t 2) (+.f64 t 1))) 4)) (-.f64 -2 (pow.f64 (sqrt.f64 (/.f64 (.f64 t 2) (+.f64 t 1))) 4)))
12.0ms	(-.f64 -2 (pow.f64 (sqrt.f64 (/.f64 (*.f64 t 2) (+.f64 t 1))) 4))
9.0ms	(pow.f64 (sqrt.f64 (/.f64 (*.f64 t 2) (+.f64 t 1))) 4)
8.0ms	(pow.f64 (sqrt.f64 (/.f64 (*.f64 t 2) (+.f64 t 1))) 4)

Compiler

Compiled 8187 to 7001 computations (14.5% saved)

series1.2s (13.4%)

Error

Counts

4 → 36

Calls

4 calls:

712.0ms	(/.f64 (-.f64 -1 (pow.f64 (sqrt.f64 (/.f64 (.f64 t 2) (+.f64 t 1))) 4)) (-.f64 -2 (pow.f64 (sqrt.f64 (/.f64 (.f64 t 2) (+.f64 t 1))) 4)))
130.0ms	(pow.f64 (sqrt.f64 (/.f64 (*.f64 t 2) (+.f64 t 1))) 4)
126.0ms	(-.f64 -2 (pow.f64 (sqrt.f64 (/.f64 (*.f64 t 2) (+.f64 t 1))) 4))
109.0ms	(pow.f64 (sqrt.f64 (/.f64 (*.f64 t 2) (+.f64 t 1))) 4)

Compiler

Compiled 4716 to 4410 computations (6.5% saved)

simplify167.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

226 → 226

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4788	8660
1	4788	8660

prune607.0ms (6.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	226	0	226
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	226	3	229

Error

Counts

229 → 3

Compiler

Compiled 8118 to 6727 computations (17.1% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 4/81 (pow.f64 t 3))
0.2b	(/.f64 1/27 (*.f64 t t))
0.3b	(/.f64 2/9 t)
7.8b	(+.f64 (+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t))) (/.f64 4/81 (pow.f64 t 3)))

rewrite307.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

48×	`*-un-lft-identity_binary64_1101` `times-frac_binary64_1107`
39×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123`
16×	`add-exp-log_binary64_1139` `associate-/r*_binary64_1045`
13×	`add-log-exp_binary64_1140` `add-cbrt-cube_binary64_1137`
12×	`unpow-prod-down_binary64_1180` `cube-prod_binary64_1129`
9×	`associate-/l*_binary64_1046`
6×	`frac-add_binary64_1109` `div-exp_binary64_1152`
5×	`sum-log_binary64_1192` `distribute-lft-out_binary64_1052`
4×	`pow1_binary64_1162` `cbrt-undiv_binary64_1135` `unpow3_binary64_1167` `cube-mult_binary64_1131` `sqr-pow_binary64_1073`
3×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098`
2×	`flip3-+_binary64_1104` `flip-+_binary64_1075` `associate-+l-_binary64_1036`
1×	`diff-log_binary64_1193` `flip3--_binary64_1105` `flip--_binary64_1076` `distribute-lft-out--_binary64_1053` `associate-+l+_binary64_1034` `+-commutative_binary64_1031` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `pow-to-exp_binary64_1170` `pow-exp_binary64_1169`

Counts

4 → 135

Calls

4 calls:

37.0ms	(+.f64 (+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t))) (/.f64 4/81 (pow.f64 t 3)))
6.0ms	(/.f64 4/81 (pow.f64 t 3))
4.0ms	(/.f64 1/27 (*.f64 t t))
3.0ms	(/.f64 2/9 t)

Compiler

Compiled 3519 to 2544 computations (27.7% saved)

series174.0ms (1.9%)

Error

Counts

4 → 21

Calls

4 calls:

57.0ms	(/.f64 4/81 (pow.f64 t 3))
44.0ms	(+.f64 (+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t))) (/.f64 4/81 (pow.f64 t 3)))
28.0ms	(/.f64 1/27 (*.f64 t t))
27.0ms	(/.f64 2/9 t)

Compiler

Compiled 771 to 656 computations (14.9% saved)

simplify78.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5863	2337

prune217.0ms (2.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	156	3	159

Error

Counts

159 → 3

Compiler

Compiled 3412 to 2419 computations (29.1% saved)

regimes290.0ms (3.2%)

Accuracy

Total 0.0b remaining (95%)

Threshold costs 0.0b (95%)

Compiler

Compiled 3309 to 2733 computations (17.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	55
1	17	55

end0.0ms (0%)

sample1.8s (19.6%)

Algorithm

1×

intervals

Results

808.0ms

8000×

body

128

valid

Compiler

Compiled 817 to 676 computations (17.3% saved)

Details

analyze268.0ms (2.9%)

sample36.0ms (0.4%)

simplify153.0ms (1.7%)

prune5.0ms (0.1%)

localize12.0ms (0.1%)

rewrite599.0ms (6.5%)

series225.0ms (2.4%)

simplify81.0ms (0.9%)

prune503.0ms (5.5%)

localize17.0ms (0.2%)

rewrite683.0ms (7.4%)

series211.0ms (2.3%)

simplify134.0ms (1.5%)

prune514.0ms (5.6%)

localize11.0ms (0.1%)

rewrite849.0ms (9.2%)

series1.2s (13.4%)

simplify167.0ms (1.8%)

prune607.0ms (6.6%)

localize11.0ms (0.1%)

rewrite307.0ms (3.3%)

series174.0ms (1.9%)

simplify78.0ms (0.8%)

prune217.0ms (2.4%)

regimes290.0ms (3.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.8s (19.6%)

Profiling