Details

analyze1.1s (7.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4881	112
1	4881	112
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
7.8%	92%	0.2%	8
16.4%	83.4%	0.2%	9
23.8%	76%	0.2%	10
25.1%	74.7%	0.2%	11
38.1%	59.4%	2.5%	12
41.8%	55.3%	2.9%	13
46.5%	50.3%	3.1%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample24.0ms (0.2%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
2.0ms	56×	body	128	invalid

Compiler

Compiled 23 to 25 computations (-8.7% saved)

simplify341.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (336.0ms)

Iter	Nodes	Cost
0	1484	16
1	1484	16

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

4.6b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))
0.0b	(/.f64 t (-.f64 1 z))
4.4b	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

rewrite303.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

1.0b

Rules

111×	`add-sqr-sqrt_binary64_11012`
107×	`*-un-lft-identity_binary64_10990`
88×	`times-frac_binary64_10996`
72×	`cancel-sign-sub-inv_binary64_10956`
46×	`add-cube-cbrt_binary64_11025`
34×	`difference-of-squares_binary64_10959`
25×	`distribute-rgt-in_binary64_10940` `distribute-lft-in_binary64_10939`
21×	`distribute-lft-out--_binary64_10942`
10×	`associate-r_binary64_10930`
8×	`associate-/r/_binary64_10936`
7×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
6×	`flip3--_binary64_10994` `flip--_binary64_10965` `associate-/r*_binary64_10934`
5×	`pow1_binary64_11051` `add-log-exp_binary64_11029`
4×	`div-inv_binary64_10987`
3×	`sub-neg_binary64_10983` `associate-r/_binary64_10932` `associate-l_binary64_10931` `associate-/l_binary64_10935`
2×	`frac-sub_binary64_10999`
1×	`pow-prod-down_binary64_11061` `prod-exp_binary64_11039` `cbrt-unprod_binary64_11023` `unswap-sqr_binary64_10958` `*-commutative_binary64_10921` `div-exp_binary64_11041` `cbrt-undiv_binary64_11024` `frac-2neg_binary64_11001` `clear-num_binary64_10989` `diff-log_binary64_11082`

Counts

3 → 162

Calls

3 calls:

36.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
33.0ms	(-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))
6.0ms	(/.f64 t (-.f64 1 z))

Compiler

Compiled 3485 to 1799 computations (48.4% saved)

series622.0ms (4.3%)

Error

0.1b

Counts

3 → 54

Calls

3 calls:

315.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
200.0ms	(-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))
70.0ms	(/.f64 t (-.f64 1 z))

Compiler

Compiled 1546 to 1036 computations (33% saved)

simplify97.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

216 → 216

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5234	3709

prune196.0ms (1.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	207	9	216
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	207	10	217

Error

1.0b

Counts

217 → 10

Compiler

Compiled 3670 to 1742 computations (52.5% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.4b	(.f64 x (-.f64 (/.f64 y z) (.f64 (*.f64 (cbrt.f64 (/.f64 t (-.f64 1 z))) (cbrt.f64 (/.f64 t (-.f64 1 z)))) (cbrt.f64 (/.f64 t (-.f64 1 z))))))
12.3b	(cbrt.f64 (/.f64 t (-.f64 1 z)))
12.3b	(cbrt.f64 (/.f64 t (-.f64 1 z)))
12.3b	(cbrt.f64 (/.f64 t (-.f64 1 z)))

rewrite329.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

72×	`cbrt-prod_binary64_11021`
65×	`add-sqr-sqrt_binary64_11012`
63×	`*-un-lft-identity_binary64_10990`
54×	`times-frac_binary64_10996`
36×	`add-cube-cbrt_binary64_11025`
18×	`difference-of-squares_binary64_10959`
15×	`cbrt-div_binary64_11022`
12×	`associate-*r/_binary64_10932`
9×	`distribute-lft-out--_binary64_10942`
7×	`frac-sub_binary64_10999`
6×	`pow1_binary64_11051` `add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026` `associate-/r/_binary64_10936`
5×	`frac-times_binary64_11000` `associate-*l/_binary64_10933`
4×	`add-log-exp_binary64_11029` `flip3--_binary64_10994` `flip--_binary64_10965`
3×	`pow1/3_binary64_11072` `div-inv_binary64_10987` `associate-l_binary64_10931` `associate-r_binary64_10930`
2×	`sub-neg_binary64_10983` `distribute-rgt-in_binary64_10940` `cancel-sign-sub-inv_binary64_10956` `distribute-lft-in_binary64_10939`
1×	`pow-prod-down_binary64_11061` `prod-exp_binary64_11039` `cbrt-unprod_binary64_11023` `unswap-sqr_binary64_10958` `*-commutative_binary64_10921`

Counts

4 → 130

Calls

4 calls:

22.0ms	(.f64 x (-.f64 (/.f64 y z) (.f64 (*.f64 (cbrt.f64 (/.f64 t (-.f64 1 z))) (cbrt.f64 (/.f64 t (-.f64 1 z)))) (cbrt.f64 (/.f64 t (-.f64 1 z))))))
11.0ms	(cbrt.f64 (/.f64 t (-.f64 1 z)))
11.0ms	(cbrt.f64 (/.f64 t (-.f64 1 z)))
10.0ms	(cbrt.f64 (/.f64 t (-.f64 1 z)))

Compiler

Compiled 4869 to 3068 computations (37% saved)

series1.2s (8.1%)

Error

0.0b

Counts

4 → 53

Calls

4 calls:

376.0ms	(.f64 x (-.f64 (/.f64 y z) (.f64 (*.f64 (cbrt.f64 (/.f64 t (-.f64 1 z))) (cbrt.f64 (/.f64 t (-.f64 1 z)))) (cbrt.f64 (/.f64 t (-.f64 1 z))))))
255.0ms	(cbrt.f64 (/.f64 t (-.f64 1 z)))
226.0ms	(cbrt.f64 (/.f64 t (-.f64 1 z)))
223.0ms	(cbrt.f64 (/.f64 t (-.f64 1 z)))

Compiler

Compiled 3852 to 2895 computations (24.8% saved)

simplify143.0ms (1%)

Algorithm

1×	egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	4964	3618
1	4964	3618

prune344.0ms (2.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	181	2	183
Fresh	3	5	8
Picked	1	0	1
Done	0	1	1
Total	185	8	193

Error

0.3b

Counts

193 → 8

Compiler

Compiled 5632 to 3478 computations (38.2% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.4b	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
5.8b	(cbrt.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))
5.8b	(cbrt.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))
5.8b	(cbrt.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))

rewrite407.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

58×	`add-sqr-sqrt_binary64_11012`
55×	`*-un-lft-identity_binary64_10990`
48×	`cancel-sign-sub-inv_binary64_10956`
44×	`times-frac_binary64_10996`
26×	`add-cube-cbrt_binary64_11025`
25×	`distribute-rgt-in_binary64_10940` `distribute-lft-in_binary64_10939`
16×	`difference-of-squares_binary64_10959`
12×	`associate-*r/_binary64_10932`
10×	`distribute-lft-out--_binary64_10942` `associate-r_binary64_10930`
9×	`cbrt-div_binary64_11022`
6×	`pow1_binary64_11051` `add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026` `flip3--_binary64_10994` `flip--_binary64_10965`
4×	`add-log-exp_binary64_11029` `frac-sub_binary64_10999` `associate-/r/_binary64_10936`
3×	`pow1/3_binary64_11072` `cbrt-prod_binary64_11021` `associate-l_binary64_10931`
2×	`sub-neg_binary64_10983` `div-inv_binary64_10987`
1×	`pow-prod-down_binary64_11061` `prod-exp_binary64_11039` `cbrt-unprod_binary64_11023` `unswap-sqr_binary64_10958` `*-commutative_binary64_10921`

Counts

4 → 114

Calls

4 calls:

44.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
37.0ms	(cbrt.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))
24.0ms	(cbrt.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))
23.0ms	(cbrt.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))

Compiler

Compiled 5686 to 3046 computations (46.4% saved)

series2.7s (18.9%)

Error

0.3b

Counts

4 → 85

Calls

4 calls:

755.0ms	(cbrt.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))
691.0ms	(cbrt.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))
673.0ms	(cbrt.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))
395.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

Compiler

Compiled 12499 to 8193 computations (34.5% saved)

simplify139.0ms (1%)

Algorithm

1×	egg-herbie

Counts

199 → 199

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4994	5183
1	4994	5183

prune500.0ms (3.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	198	1	199
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	198	9	207

Error

0.3b

Counts

207 → 9

Compiler

Compiled 9310 to 4973 computations (46.6% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
2.0b	(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))) (cbrt.f64 x))
2.8b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))) (cbrt.f64 x)))

rewrite196.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

25×	`add-sqr-sqrt_binary64_11012`
20×	`*-un-lft-identity_binary64_10990`
18×	`pow1_binary64_11051` `add-exp-log_binary64_11028`
11×	`add-cbrt-cube_binary64_11026` `associate-l_binary64_10931`
10×	`cbrt-prod_binary64_11021`
9×	`pow-prod-down_binary64_11061` `prod-exp_binary64_11039` `add-cube-cbrt_binary64_11025` `cbrt-unprod_binary64_11023`
8×	`times-frac_binary64_10996`
7×	`associate-r_binary64_10930`
6×	`associate-*l/_binary64_10933`
4×	`add-log-exp_binary64_11029` `difference-of-squares_binary64_10959` `distribute-lft-out--_binary64_10942`
3×	`associate-*r/_binary64_10932`
2×	`frac-sub_binary64_10999` `flip3--_binary64_10994` `flip--_binary64_10965` `*-commutative_binary64_10921` `unswap-sqr_binary64_10958` `pow1/3_binary64_11072`

Counts

4 → 79

Calls

4 calls:

43.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))) (cbrt.f64 x)))
35.0ms	(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 2162 to 858 computations (60.3% saved)

series1.1s (7.8%)

Error

0.0b

Counts

4 → 52

Calls

4 calls:

591.0ms	(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))) (cbrt.f64 x))
320.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))) (cbrt.f64 x)))
92.0ms	(cbrt.f64 x)
77.0ms	(cbrt.f64 x)

Compiler

Compiled 2334 to 1558 computations (33.2% saved)

simplify106.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4947	2038
1	4947	2038

prune115.0ms (0.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	131	9	140

Error

0.3b

Counts

140 → 9

Compiler

Compiled 2512 to 994 computations (60.4% saved)

regimes1.8s (12.4%)

Accuracy

Total 2.2b remaining (99.2%)

Threshold costs 0b (0%)

Compiler

Compiled 11102 to 8311 computations (25.1% saved)

bsearch7.0ms (0%)

Compiler: Compiled 11 to 10 computations (9.1% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	98	119
1	98	119

end0.0ms (0%)

sample2.6s (17.8%)

Algorithm

1×

intervals

Results

360.0ms	8000×	body	128	valid
81.0ms	1823×	body	128	invalid

Compiler

Compiled 1855 to 1378 computations (25.7% saved)

Details

analyze1.1s (7.7%)

sample24.0ms (0.2%)

simplify341.0ms (2.4%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite303.0ms (2.1%)

series622.0ms (4.3%)

simplify97.0ms (0.7%)

prune196.0ms (1.4%)

localize12.0ms (0.1%)

rewrite329.0ms (2.3%)

series1.2s (8.1%)

simplify143.0ms (1%)

prune344.0ms (2.4%)

localize14.0ms (0.1%)

rewrite407.0ms (2.8%)

series2.7s (18.9%)

simplify139.0ms (1%)

prune500.0ms (3.5%)

localize12.0ms (0.1%)

rewrite196.0ms (1.4%)

series1.1s (7.8%)

simplify106.0ms (0.7%)

prune115.0ms (0.8%)

regimes1.8s (12.4%)

bsearch7.0ms (0%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample2.6s (17.8%)

Profiling