Details

analyze354.0ms (9.4%)

Algorithm

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)

sample26.0ms (0.7%)

Algorithm

1×

intervals

Results

20.0ms

256×

body

128

valid

Compiler

Compiled 59 to 54 computations (8.5% saved)

simplify231.0ms (6.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4838	25
1	4838	25

prune7.0ms (0.2%)

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: 0.0b

Counts

2 → 2

Compiler

Compiled 63 to 58 computations (7.9% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 1 (/.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)))))
3.2b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
3.2b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

rewrite153.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`add-sqr-sqrt_binary64_1109`
34×	`*-un-lft-identity_binary64_1088`
24×	`difference-of-squares_binary64_1057`
22×	`times-frac_binary64_1094`
11×	`pow1_binary64_1146`
10×	`add-log-exp_binary64_1124` `distribute-lft-out--_binary64_1042`
9×	`swap-sqr_binary64_1055` `flip3--_binary64_1092` `flip--_binary64_1063`
8×	`add-cube-cbrt_binary64_1120`
7×	`associate-r_binary64_1030` `associate-l_binary64_1031`
6×	`add-cbrt-cube_binary64_1121` `add-exp-log_binary64_1123`
5×	`sub-neg_binary64_1081`
4×	`frac-times_binary64_1098`
3×	`diff-log_binary64_1177`
2×	`associate-l/_binary64_1033` `associate-r/_binary64_1032`
1×	`*-commutative_binary64_1021` `pow-plus_binary64_1148` `unswap-sqr_binary64_1056` `cbrt-unprod_binary64_1118` `distribute-rgt-in_binary64_1040` `pow2_binary64_1166` `pow-prod-down_binary64_1156` `pow-sqr_binary64_1061` `prod-exp_binary64_1134` `pow-prod-up_binary64_1155` `distribute-lft-in_binary64_1039` `div-inv_binary64_1085`

Counts

4 → 98

Calls

4 calls:

65.0ms	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
29.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
29.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
10.0ms	(-.f64 1 (/.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))))))))

series146.0ms (3.9%)

Counts

4 → 12

Calls

4 calls:

56.0ms	(-.f64 1 (/.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))))))))
37.0ms	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
28.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
25.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

simplify80.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4929	3747
1	4929	3747

prune248.0ms (6.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	109	3	112

Merged error: 0b

Counts

112 → 3

Compiler

Compiled 4090 to 3536 computations (13.5% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
0.5b	(cbrt.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
3.2b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
3.2b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

rewrite131.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`add-sqr-sqrt_binary64_1109`
14×	`cbrt-prod_binary64_1116` `*-un-lft-identity_binary64_1088`
12×	`times-frac_binary64_1094` `difference-of-squares_binary64_1057`
8×	`add-log-exp_binary64_1124`
6×	`add-cube-cbrt_binary64_1120`
4×	`add-cbrt-cube_binary64_1121` `cbrt-div_binary64_1117` `flip3--_binary64_1092` `flip--_binary64_1063` `add-exp-log_binary64_1123` `pow1_binary64_1146` `distribute-lft-out--_binary64_1042`
2×	`sub-neg_binary64_1081` `diff-log_binary64_1177` `pow1/3_binary64_1167`

Counts

4 → 64

Calls

4 calls:

33.0ms	(cbrt.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
31.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
29.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
29.0ms	(cbrt.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))

series160.0ms (4.3%)

Counts

4 → 12

Calls

4 calls:

56.0ms	(cbrt.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
53.0ms	(cbrt.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
26.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
24.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

simplify93.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4906	1652
1	4906	1652

prune168.0ms (4.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	76	3	79

Merged error: 0b

Counts

79 → 3

Compiler

Compiled 2925 to 2587 computations (11.6% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(pow.f64 (-.f64 1 (/.f64 1 (+.f64 2 (pow.f64 (sqrt.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))) 4)))) 3)
0.5b	(pow.f64 (sqrt.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))) 4)
1.0b	(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 2 (pow.f64 (sqrt.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))) 4)))) 3))
3.2b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

rewrite181.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`add-sqr-sqrt_binary64_1109`
49×	`*-un-lft-identity_binary64_1088`
32×	`unpow-prod-down_binary64_1164`
30×	`difference-of-squares_binary64_1057`
28×	`cbrt-prod_binary64_1116`
22×	`cube-prod_binary64_1113` `times-frac_binary64_1094`
13×	`add-cube-cbrt_binary64_1120`
10×	`distribute-lft-out--_binary64_1042`
7×	`sqrt-prod_binary64_1103` `pow1_binary64_1146`
6×	`add-exp-log_binary64_1123` `add-log-exp_binary64_1124` `pow-unpow_binary64_1162`
5×	`add-cbrt-cube_binary64_1121`
4×	`cube-div_binary64_1114` `pow-pow_binary64_1157` `div-inv_binary64_1085`
3×	`sqr-pow_binary64_1060` `flip3--_binary64_1092` `flip--_binary64_1063`
2×	`unpow3_binary64_1151` `cube-mult_binary64_1115` `cbrt-div_binary64_1117` `pow-exp_binary64_1153` `pow-to-exp_binary64_1154`
1×	`rem-cube-cbrt_binary64_1110` `sub-neg_binary64_1081` `rem-cbrt-cube_binary64_1111` `diff-log_binary64_1177` `pow1/3_binary64_1167` `sqrt-pow1_binary64_1105` `pow1/2_binary64_1165` `sqrt-pow2_binary64_1106`

Counts

4 → 122

Calls

4 calls:

46.0ms	(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 2 (pow.f64 (sqrt.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))) 4)))) 3))
46.0ms	(pow.f64 (-.f64 1 (/.f64 1 (+.f64 2 (pow.f64 (sqrt.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))) 4)))) 3)
36.0ms	(pow.f64 (sqrt.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))) 4)
31.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

series194.0ms (5.2%)

Counts

4 → 12

Calls

4 calls:

74.0ms	(pow.f64 (sqrt.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))) 4)
52.0ms	(pow.f64 (-.f64 1 (/.f64 1 (+.f64 2 (pow.f64 (sqrt.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))) 4)))) 3)
43.0ms	(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 2 (pow.f64 (sqrt.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))) 4)))) 3))
24.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

simplify93.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5434	5415

prune305.0ms (8.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	134	3	137

Merged error: 0b

Counts

137 → 3

Compiler

Compiled 4598 to 4145 computations (9.9% saved)

regimes176.0ms (4.7%)

Compiler: Compiled 1811 to 1636 computations (9.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	68	43
1	68	43

end0.0ms (0%)

sample960.0ms (25.6%)

Algorithm

1×

intervals

Results

575.0ms

8000×

body

128

valid

Compiler

Compiled 282 to 256 computations (9.2% saved)

Details

analyze354.0ms (9.4%)

sample26.0ms (0.7%)

simplify231.0ms (6.2%)

prune7.0ms (0.2%)

localize12.0ms (0.3%)

rewrite153.0ms (4.1%)

series146.0ms (3.9%)

simplify80.0ms (2.1%)

prune248.0ms (6.6%)

localize14.0ms (0.4%)

rewrite131.0ms (3.5%)

series160.0ms (4.3%)

simplify93.0ms (2.5%)

prune168.0ms (4.5%)

localize16.0ms (0.4%)

rewrite181.0ms (4.8%)

series194.0ms (5.2%)

simplify93.0ms (2.5%)

prune305.0ms (8.1%)

regimes176.0ms (4.7%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample960.0ms (25.6%)

Profiling