Details

analyze779.0ms (11.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4890	52
1	4890	52
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
9.4%	90.5%	0.1%	7
14%	85.8%	0.1%	8
21.1%	78%	0.9%	9
37.3%	60.3%	2.5%	10
39.7%	56.1%	4.2%	11
45.6%	48.7%	5.7%	12
55.9%	35.1%	8.9%	13
57.6%	32.1%	10.3%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample21.0ms (0.3%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
1.0ms	36×	body	128	invalid

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify442.0ms (6.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (437.0ms)

Iter	Nodes	Cost
0	5659	13

prune2.0ms (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

8.9b

Counts

2 → 1

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 y (-.f64 z x))
0.0b	(+.f64 x (*.f64 y (-.f64 z x)))
8.3b	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

rewrite84.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

8.8b

Rules

21×	`add-sqr-sqrt_binary64_18855`
19×	`*-un-lft-identity_binary64_18833`
17×	`add-cube-cbrt_binary64_18868`
12×	`cancel-sign-sub-inv_binary64_18799`
9×	`times-frac_binary64_18839`
8×	`distribute-rgt-in_binary64_18783` `associate-+r+_binary64_18765` `distribute-lft-in_binary64_18782`
7×	`add-exp-log_binary64_18871` `add-cbrt-cube_binary64_18869`
5×	`pow1_binary64_18894` `add-log-exp_binary64_18872` `associate-r_binary64_18773`
4×	`sub-neg_binary64_18826`
3×	`associate-/l_binary64_18778` `associate-/r_binary64_18777` `associate-l_binary64_18774`
2×	`flip3-+_binary64_18836` `associate-/l/_binary64_18780` `flip-+_binary64_18807` `associate-*r/_binary64_18775`
1×	`div-exp_binary64_18884` `cbrt-undiv_binary64_18867` `frac-2neg_binary64_18844` `clear-num_binary64_18832` `div-inv_binary64_18830` `sum-log_binary64_18924` `+-commutative_binary64_18763` `pow-prod-down_binary64_18904` `prod-exp_binary64_18882` `cbrt-unprod_binary64_18866` `unswap-sqr_binary64_18801` `flip3--_binary64_18837` `flip--_binary64_18808` `difference-of-squares_binary64_18802` `distribute-lft-out--_binary64_18785` `*-commutative_binary64_18764`

Counts

3 → 78

Calls

3 calls:

7.0ms	(*.f64 y (-.f64 z x))
5.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
4.0ms	(+.f64 x (*.f64 y (-.f64 z x)))

Compiler

Compiled 1355 to 327 computations (75.9% saved)

series521.0ms (7.8%)

Error

1.3b

Counts

3 → 51

Calls

3 calls:

225.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
144.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
126.0ms	(*.f64 y (-.f64 z x))

Compiler

Compiled 1173 to 639 computations (45.5% saved)

simplify72.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5018	1554

prune75.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	125	4	129
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	125	5	130

Error

0.0b

Counts

130 → 5

Compiler

Compiled 1687 to 359 computations (78.7% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 y (*.f64 (/.f64 x z) (-.f64 1 y)))
2.5b	(*.f64 (/.f64 x z) (-.f64 1 y))

rewrite91.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

22×	`add-sqr-sqrt_binary64_18855`
17×	`*-un-lft-identity_binary64_18833`
14×	`add-cube-cbrt_binary64_18868`
13×	`associate-l_binary64_18774`
12×	`cancel-sign-sub-inv_binary64_18799`
10×	`times-frac_binary64_18839`
8×	`distribute-rgt-in_binary64_18783` `distribute-lft-in_binary64_18782` `associate-+r+_binary64_18765`
7×	`add-exp-log_binary64_18871` `add-cbrt-cube_binary64_18869`
6×	`associate-r_binary64_18773`
4×	`pow1_binary64_18894` `add-log-exp_binary64_18872` `sub-neg_binary64_18826`
2×	`prod-exp_binary64_18882` `cbrt-unprod_binary64_18866` `flip3--_binary64_18837` `frac-times_binary64_18843` `flip--_binary64_18808` `unswap-sqr_binary64_18801` `associate-*r/_binary64_18775` `difference-of-squares_binary64_18802`
1×	`pow-prod-down_binary64_18904` `div-exp_binary64_18884` `cbrt-undiv_binary64_18867` `associate-l/_binary64_18776` `div-inv_binary64_18830` `distribute-lft-out--_binary64_18785` `-commutative_binary64_18764` `sum-log_binary64_18924` `flip3-+_binary64_18836` `flip-+_binary64_18807` `+-commutative_binary64_18763`

Counts

2 → 66

Calls

2 calls:

16.0ms	(*.f64 (/.f64 x z) (-.f64 1 y))
4.0ms	(+.f64 y (*.f64 (/.f64 x z) (-.f64 1 y)))

Compiler

Compiled 1152 to 555 computations (51.8% saved)

series381.0ms (5.7%)

Error

Counts

2 → 30

Calls

2 calls:

212.0ms	(+.f64 y (*.f64 (/.f64 x z) (-.f64 1 y)))
151.0ms	(*.f64 (/.f64 x z) (-.f64 1 y))

Compiler

Compiled 708 to 426 computations (39.8% saved)

simplify73.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4995	1186
1	4995	1186

prune93.0ms (1.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	3	0	3
Picked	0	1	1
Done	0	1	1
Total	97	4	101

Error

Counts

101 → 4

Compiler

Compiled 1251 to 591 computations (52.8% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 1 y) z)
0.0b	(+.f64 y (*.f64 x (/.f64 (-.f64 1 y) z)))
3.6b	(*.f64 x (/.f64 (-.f64 1 y) z))

rewrite165.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

51×	`add-sqr-sqrt_binary64_18855`
46×	`*-un-lft-identity_binary64_18833`
37×	`times-frac_binary64_18839`
25×	`add-cube-cbrt_binary64_18868`
22×	`associate-r_binary64_18773`
14×	`difference-of-squares_binary64_18802`
10×	`add-exp-log_binary64_18871` `add-cbrt-cube_binary64_18869`
7×	`distribute-lft-out--_binary64_18785`
6×	`associate-/l*_binary64_18778`
5×	`pow1_binary64_18894` `add-log-exp_binary64_18872`
3×	`associate-l_binary64_18774` `associate-/r*_binary64_18777`
2×	`div-exp_binary64_18884` `prod-exp_binary64_18882` `cbrt-unprod_binary64_18866` `cbrt-undiv_binary64_18867` `unswap-sqr_binary64_18801` `div-inv_binary64_18830` `associate-/l/_binary64_18780`
1×	`pow-prod-down_binary64_18904` `associate-r/_binary64_18775` `-commutative_binary64_18764` `sum-log_binary64_18924` `flip3-+_binary64_18836` `flip-+_binary64_18807` `+-commutative_binary64_18763` `frac-2neg_binary64_18844` `div-sub_binary64_18838` `clear-num_binary64_18832` `flip3--_binary64_18837` `flip--_binary64_18808`

Counts

3 → 94

Calls

3 calls:

17.0ms	(*.f64 x (/.f64 (-.f64 1 y) z))
13.0ms	(/.f64 (-.f64 1 y) z)
6.0ms	(+.f64 y (*.f64 x (/.f64 (-.f64 1 y) z)))

Compiler

Compiled 1636 to 967 computations (40.9% saved)

series431.0ms (6.4%)

Error

Counts

3 → 39

Calls

3 calls:

204.0ms	(+.f64 y (*.f64 x (/.f64 (-.f64 1 y) z)))
142.0ms	(*.f64 x (/.f64 (-.f64 1 y) z))
66.0ms	(/.f64 (-.f64 1 y) z)

Compiler

Compiled 944 to 599 computations (36.5% saved)

simplify84.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4950	1687
1	4950	1687

prune118.0ms (1.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	133	4	137

Error

Counts

137 → 4

Compiler

Compiled 1804 to 1016 computations (43.7% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 y (/.f64 (.f64 x (-.f64 1 (.f64 y y))) (*.f64 z (+.f64 1 y))))
0.0b	(*.f64 z (+.f64 1 y))
3.9b	(.f64 x (-.f64 1 (.f64 y y)))
10.6b	(/.f64 (.f64 x (-.f64 1 (.f64 y y))) (*.f64 z (+.f64 1 y)))

rewrite141.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

20×	`add-exp-log_binary64_18871` `add-cbrt-cube_binary64_18869`
13×	`add-sqr-sqrt_binary64_18855` `*-un-lft-identity_binary64_18833`
9×	`associate-r_binary64_18773`
8×	`pow1_binary64_18894` `add-cube-cbrt_binary64_18868` `associate-*r/_binary64_18775`
6×	`prod-exp_binary64_18882` `add-log-exp_binary64_18872` `cbrt-unprod_binary64_18866` `associate-l_binary64_18774`
4×	`div-exp_binary64_18884` `cbrt-undiv_binary64_18867`
3×	`flip3-+_binary64_18836` `flip-+_binary64_18807` `distribute-rgt-in_binary64_18783` `distribute-lft-in_binary64_18782`
2×	`flip3--_binary64_18837` `associate-/l/_binary64_18780` `flip--_binary64_18808` `associate-/r/_binary64_18779` `pow-prod-down_binary64_18904` `unswap-sqr_binary64_18801` `sub-neg_binary64_18826` `cancel-sign-sub-inv_binary64_18799` `difference-of-squares_binary64_18802` `*-commutative_binary64_18764` `distribute-lft-out_binary64_18784`
1×	`frac-2neg_binary64_18844` `times-frac_binary64_18839` `clear-num_binary64_18832` `div-inv_binary64_18830` `associate-/l_binary64_18778` `associate-/r_binary64_18777` `sum-log_binary64_18924` `+-commutative_binary64_18763`

Counts

4 → 86

Calls

4 calls:

11.0ms	(/.f64 (.f64 x (-.f64 1 (.f64 y y))) (*.f64 z (+.f64 1 y)))
7.0ms	(.f64 x (-.f64 1 (.f64 y y)))
6.0ms	(*.f64 z (+.f64 1 y))
6.0ms	(+.f64 y (/.f64 (.f64 x (-.f64 1 (.f64 y y))) (*.f64 z (+.f64 1 y))))

Compiler

Compiled 2065 to 1177 computations (43% saved)

series939.0ms (14%)

Error

Counts

4 → 48

Calls

4 calls:

457.0ms	(+.f64 y (/.f64 (.f64 x (-.f64 1 (.f64 y y))) (*.f64 z (+.f64 1 y))))
271.0ms	(/.f64 (.f64 x (-.f64 1 (.f64 y y))) (*.f64 z (+.f64 1 y)))
96.0ms	(.f64 x (-.f64 1 (.f64 y y)))
64.0ms	(*.f64 z (+.f64 1 y))

Compiler

Compiled 1742 to 1168 computations (33% saved)

simplify57.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5110	1959

prune143.0ms (2.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	134	4	138

Error

Counts

138 → 4

Compiler

Compiled 2348 to 1282 computations (45.4% saved)

regimes389.0ms (5.8%)

Accuracy

Total 0.0b remaining (95.4%)

Threshold costs 0.0b (95.4%)

Compiler

Compiled 3218 to 2018 computations (37.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	66	16
1	66	16

end0.0ms (0%)

sample1.6s (23.3%)

Algorithm

1×

intervals

Results

313.0ms	8000×	body	128	valid
39.0ms	1093×	body	128	invalid

Compiler

Compiled 803 to 510 computations (36.5% saved)

Details

analyze779.0ms (11.6%)

sample21.0ms (0.3%)

simplify442.0ms (6.6%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite84.0ms (1.3%)

series521.0ms (7.8%)

simplify72.0ms (1.1%)

prune75.0ms (1.1%)

localize12.0ms (0.2%)

rewrite91.0ms (1.4%)

series381.0ms (5.7%)

simplify73.0ms (1.1%)

prune93.0ms (1.4%)

localize6.0ms (0.1%)

rewrite165.0ms (2.5%)

series431.0ms (6.4%)

simplify84.0ms (1.2%)

prune118.0ms (1.8%)

localize9.0ms (0.1%)

rewrite141.0ms (2.1%)

series939.0ms (14%)

simplify57.0ms (0.8%)

prune143.0ms (2.1%)

regimes389.0ms (5.8%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.6s (23.3%)

Profiling