Details

analyze621.0ms (5.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4892	25
1	4892	25
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
50%	50%	0%	5
50%	50%	0%	6
50%	50%	0%	7
50%	50%	0%	8
50%	50%	0%	9
50%	50%	0%	10
50%	50%	0%	11
50%	49.9%	0%	12
99.6%	0.3%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 30 to 27 computations (10% saved)

sample42.0ms (0.4%)

Algorithm

1×

intervals

Results

30.0ms

256×

body

128

valid

Compiler

Compiled 59 to 54 computations (8.5% saved)

simplify74.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4892	25
1	4892	25

prune6.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 46 to 42 computations (8.7% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
0.0b	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
1.3b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
1.3b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

rewrite2.5s (23.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

467×	`times-frac_binary64_1107`
386×	`*-un-lft-identity_binary64_1101`
284×	`cancel-sign-sub-inv_binary64_1067`
268×	`add-sqr-sqrt_binary64_1123`
212×	`add-cube-cbrt_binary64_1136`
104×	`distribute-lft-out_binary64_1052`
77×	`div-inv_binary64_1098`
72×	`distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050`
18×	`difference-of-squares_binary64_1070`
12×	`pow1_binary64_1162`
10×	`add-exp-log_binary64_1139` `associate-/r/_binary64_1047`
9×	`swap-sqr_binary64_1068`
8×	`add-log-exp_binary64_1140` `add-cbrt-cube_binary64_1137` `flip3--_binary64_1105` `flip--_binary64_1076` `distribute-lft-out--_binary64_1053`
7×	`associate-l_binary64_1042` `associate-r_binary64_1041`
5×	`flip3-+_binary64_1104` `flip-+_binary64_1075`
4×	`sub-neg_binary64_1094` `frac-times_binary64_1111`
3×	`associate-/l_binary64_1046` `associate-/r_binary64_1045`
2×	`diff-log_binary64_1193` `associate-l/_binary64_1044` `associate-r/_binary64_1043` `div-exp_binary64_1152`
1×	`pow2_binary64_1182` `pow-prod-down_binary64_1172` `pow-prod-up_binary64_1171` `pow-plus_binary64_1164` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `pow-sqr_binary64_1074` `unswap-sqr_binary64_1069` `*-commutative_binary64_1032` `inv-pow_binary64_1186` `pow-flip_binary64_1175` `1-exp_binary64_1145` `rec-exp_binary64_1151` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `clear-num_binary64_1100`

Counts

4 → 396

Calls

4 calls:

104.0ms	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
36.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
36.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
5.0ms	(/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))

Compiler

Compiled 19394 to 16434 computations (15.3% saved)

series252.0ms (2.4%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

53.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
50.0ms	(/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
49.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
40.0ms	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))

Compiler

Compiled 2160 to 1945 computations (10% saved)

simplify221.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

444 → 444

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5444	19438

prune2.3s (21.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	442	2	444
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	443	2	445

Error

Counts

445 → 2

Compiler

Compiled 18873 to 15821 computations (16.2% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (+.f64 2 (cbrt.f64 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 6))))
0.0b	(cbrt.f64 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 6))
0.1b	(pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 6)
1.3b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

rewrite578.0ms (5.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

131×	`times-frac_binary64_1107`
119×	`*-un-lft-identity_binary64_1101`
93×	`add-sqr-sqrt_binary64_1123`
71×	`cancel-sign-sub-inv_binary64_1067`
66×	`add-cube-cbrt_binary64_1136`
30×	`distribute-lft-out_binary64_1052`
20×	`div-inv_binary64_1098`
14×	`unpow-prod-down_binary64_1180`
11×	`cbrt-prod_binary64_1132`
9×	`add-exp-log_binary64_1139` `difference-of-squares_binary64_1070`
6×	`add-log-exp_binary64_1140` `pow1_binary64_1162` `add-cbrt-cube_binary64_1137`
4×	`associate-/r/_binary64_1047` `associate-/r*_binary64_1045`
3×	`distribute-lft-out--_binary64_1053` `pow-unpow_binary64_1178` `associate-/l*_binary64_1046`
2×	`flip3-+_binary64_1104` `flip-+_binary64_1075` `sqr-pow_binary64_1073` `div-exp_binary64_1152`
1×	`diff-log_binary64_1193` `flip3--_binary64_1105` `sub-neg_binary64_1094` `flip--_binary64_1076` `pow-pow_binary64_1173` `pow-to-exp_binary64_1170` `pow-exp_binary64_1169` `pow1/3_binary64_1183` `inv-pow_binary64_1186` `pow-flip_binary64_1175` `1-exp_binary64_1145` `rec-exp_binary64_1151` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `clear-num_binary64_1100`

Counts

4 → 163

Calls

4 calls:

51.0ms	(/.f64 1 (+.f64 2 (cbrt.f64 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 6))))
42.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
38.0ms	(pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 6)
32.0ms	(cbrt.f64 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 6))

Compiler

Compiled 5544 to 4888 computations (11.8% saved)

series247.0ms (2.3%)

Error

Counts

4 → 47

Calls

4 calls:

59.0ms	(/.f64 1 (+.f64 2 (cbrt.f64 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 6))))
50.0ms	(cbrt.f64 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 6))
50.0ms	(pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 6)
37.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

Compiler

Compiled 1666 to 1551 computations (6.9% saved)

simplify107.0ms (1%)

Algorithm

1×	egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4982	5446
1	4982	5446

prune466.0ms (4.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Error

Counts

212 → 2

Compiler

Compiled 5538 to 4814 computations (13.1% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 2 (pow.f64 t 3))
0.0b	(-.f64 1 (-.f64 (+.f64 (.f64 2 (pow.f64 t 3)) 1/2) (+.f64 (.f64 t t) (pow.f64 t 4))))
0.0b	(+.f64 (*.f64 t t) (pow.f64 t 4))
11.6b	(-.f64 (+.f64 (.f64 2 (pow.f64 t 3)) 1/2) (+.f64 (.f64 t t) (pow.f64 t 4)))

rewrite226.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

36×	`add-log-exp_binary64_1140`
25×	`add-sqr-sqrt_binary64_1123`
21×	`*-un-lft-identity_binary64_1101`
13×	`diff-log_binary64_1193`
12×	`associate-r_binary64_1041`
11×	`add-cube-cbrt_binary64_1136` `cancel-sign-sub-inv_binary64_1067`
9×	`sum-log_binary64_1192` `add-exp-log_binary64_1139`
6×	`add-cbrt-cube_binary64_1137` `associate--r+_binary64_1037`
5×	`flip3-+_binary64_1104` `flip-+_binary64_1075` `distribute-lft-out--_binary64_1053`
4×	`pow1_binary64_1162` `frac-sub_binary64_1110` `difference-of-squares_binary64_1070` `unpow-prod-down_binary64_1180` `unswap-sqr_binary64_1069` `cube-prod_binary64_1129`
3×	`sub-neg_binary64_1094` `prod-exp_binary64_1150` `associate-l_binary64_1042`
2×	`flip3--_binary64_1105` `flip--_binary64_1076` `associate--l+_binary64_1038` `sqr-pow_binary64_1073`
1×	`+-commutative_binary64_1031` `associate--r-_binary64_1040` `pow-to-exp_binary64_1170` `pow-exp_binary64_1169` `cbrt-unprod_binary64_1134` `unpow3_binary64_1167` `cube-mult_binary64_1131` `*-commutative_binary64_1032`

Counts

4 → 97

Calls

4 calls:

23.0ms	(-.f64 (+.f64 (.f64 2 (pow.f64 t 3)) 1/2) (+.f64 (.f64 t t) (pow.f64 t 4)))
15.0ms	(-.f64 1 (-.f64 (+.f64 (.f64 2 (pow.f64 t 3)) 1/2) (+.f64 (.f64 t t) (pow.f64 t 4))))
7.0ms	(*.f64 2 (pow.f64 t 3))
5.0ms	(+.f64 (*.f64 t t) (pow.f64 t 4))

Compiler

Compiled 2880 to 2056 computations (28.6% saved)

series221.0ms (2.1%)

Error

Counts

4 → 29

Calls

4 calls:

70.0ms	(+.f64 (*.f64 t t) (pow.f64 t 4))
54.0ms	(-.f64 1 (-.f64 (+.f64 (.f64 2 (pow.f64 t 3)) 1/2) (+.f64 (.f64 t t) (pow.f64 t 4))))
36.0ms	(*.f64 2 (pow.f64 t 3))
31.0ms	(-.f64 (+.f64 (.f64 2 (pow.f64 t 3)) 1/2) (+.f64 (.f64 t t) (pow.f64 t 4)))

Compiler

Compiled 790 to 673 computations (14.8% saved)

simplify61.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4980	2333
1	4980	2333

prune182.0ms (1.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	126	2	128

Error

Counts

128 → 2

Compiler

Compiled 2597 to 1825 computations (29.7% saved)

regimes631.0ms (5.9%)

Accuracy

Total 0.0b remaining (89.5%)

Threshold costs 0.0b (89.5%)

Compiler

Compiled 6982 to 6289 computations (9.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	70	30
1	70	30

end0.0ms (0%)

sample1.9s (17.9%)

Algorithm

1×

intervals

Results

741.0ms

8000×

body

128

valid

Compiler

Compiled 864 to 780 computations (9.7% saved)

Details

analyze621.0ms (5.9%)

sample42.0ms (0.4%)

simplify74.0ms (0.7%)

prune6.0ms (0.1%)

localize11.0ms (0.1%)

rewrite2.5s (23.2%)

series252.0ms (2.4%)

simplify221.0ms (2.1%)

prune2.3s (21.4%)

localize12.0ms (0.1%)

rewrite578.0ms (5.4%)

series247.0ms (2.3%)

simplify107.0ms (1%)

prune466.0ms (4.4%)

localize11.0ms (0.1%)

rewrite226.0ms (2.1%)

series221.0ms (2.1%)

simplify61.0ms (0.6%)

prune182.0ms (1.7%)

regimes631.0ms (5.9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.9s (17.9%)

Profiling