Details

analyze1.9s (11%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5265	209
0	5	5
1	5	5

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
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
7.8%	92%	0.2%	11
11.7%	88.1%	0.2%	12
17.9%	81.8%	0.2%	13
22.6%	77.2%	0.2%	14

Compiler

Compiled 14 to 14 computations (0% saved)

sample30.0ms (0.2%)

Algorithm

1×

intervals

Results

11.0ms	249×	body	128	valid
1.0ms	25×	body	128	invalid
0.0ms	2×	body	1024	valid
0.0ms	2×	body	512	valid
0.0ms	2×	body	256	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 27 to 32 computations (-18.5% saved)

simplify171.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (160.0ms)

Iter	Nodes	Cost
0	5048	19

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

0.7b

Counts

2 → 1

Compiler

Compiled 26 to 26 computations (0% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
0.0b	(*.f64 60 (-.f64 x y))
0.7b	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))

rewrite180.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`add-sqr-sqrt_binary64_21924`
15×	`*-un-lft-identity_binary64_21902`
10×	`add-exp-log_binary64_21940` `add-cbrt-cube_binary64_21938`
9×	`add-cube-cbrt_binary64_21937`
6×	`cancel-sign-sub-inv_binary64_21868`
5×	`pow1_binary64_21963` `add-log-exp_binary64_21941` `times-frac_binary64_21908` `associate-/r_binary64_21846` `associate-r*_binary64_21842`
4×	`associate-*r/_binary64_21844` `distribute-rgt-in_binary64_21852` `distribute-lft-in_binary64_21851`
3×	`difference-of-squares_binary64_21871` `distribute-lft-out--_binary64_21854` `flip3--_binary64_21906` `flip--_binary64_21877` `associate-l_binary64_21843`
2×	`prod-exp_binary64_21951` `div-exp_binary64_21953` `cbrt-undiv_binary64_21936` `cbrt-unprod_binary64_21935` `associate-/l/_binary64_21849` `associate-/r/_binary64_21848` `sub-neg_binary64_21895`
1×	`frac-2neg_binary64_21913` `clear-num_binary64_21901` `div-inv_binary64_21899` `associate-/l_binary64_21847` `pow-prod-down_binary64_21973` `unswap-sqr_binary64_21870` `-commutative_binary64_21833` `sum-log_binary64_21993` `flip3-+_binary64_21905` `flip-+_binary64_21876` `+-commutative_binary64_21832`

Counts

3 → 70

Calls

3 calls:

22.0ms	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
18.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))
13.0ms	(*.f64 60 (-.f64 x y))

Compiler

Compiled 1484 to 742 computations (50% saved)

series1.2s (7.3%)

Error

0.1b

Counts

3 → 90

Calls

3 calls:

656.0ms	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
395.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))
69.0ms	(*.f64 60 (-.f64 x y))

Compiler

Compiled 5451 to 4029 computations (26.1% saved)

simplify113.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5035	3691

prune213.0ms (1.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	152	8	160
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	152	9	161

Error

0.0b

Counts

161 → 9

Compiler

Compiled 3531 to 1766 computations (50% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 a 120))
0.0b	(/.f64 (-.f64 x y) (-.f64 z t))
0.3b	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))

rewrite201.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

76×	`add-sqr-sqrt_binary64_21924`
71×	`*-un-lft-identity_binary64_21902`
51×	`times-frac_binary64_21908`
31×	`associate-r_binary64_21842`
27×	`add-cube-cbrt_binary64_21937`
22×	`difference-of-squares_binary64_21871` `distribute-lft-out--_binary64_21854`
10×	`add-exp-log_binary64_21940` `add-cbrt-cube_binary64_21938`
5×	`pow1_binary64_21963` `add-log-exp_binary64_21941` `associate-/l_binary64_21847` `associate-/r_binary64_21846`
4×	`associate-/r/_binary64_21848`
3×	`associate-l_binary64_21843` `flip3--_binary64_21906` `flip--_binary64_21877`
2×	`div-exp_binary64_21953` `prod-exp_binary64_21951` `cbrt-unprod_binary64_21935` `cbrt-undiv_binary64_21936` `unswap-sqr_binary64_21870` `div-inv_binary64_21899` `associate-/l/_binary64_21849`
1×	`pow-prod-down_binary64_21973` `associate-r/_binary64_21844` `-commutative_binary64_21833` `frac-2neg_binary64_21913` `div-sub_binary64_21907` `clear-num_binary64_21901` `sum-log_binary64_21993` `flip3-+_binary64_21905` `flip-+_binary64_21876` `+-commutative_binary64_21832`

Counts

3 → 113

Calls

3 calls:

16.0ms	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))
12.0ms	(+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 a 120))
9.0ms	(/.f64 (-.f64 x y) (-.f64 z t))

Compiler

Compiled 2615 to 988 computations (62.2% saved)

series1.7s (9.7%)

Error

0.0b

Counts

3 → 114

Calls

3 calls:

645.0ms	(+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 a 120))
490.0ms	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))
334.0ms	(/.f64 (-.f64 x y) (-.f64 z t))

Compiler

Compiled 7407 to 5284 computations (28.7% saved)

simplify117.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

227 → 227

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5521	6167

prune267.0ms (1.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	225	2	227
Fresh	4	3	7
Picked	0	1	1
Done	0	1	1
Total	229	7	236

Error

0.0b

Counts

236 → 7

Compiler

Compiled 5693 to 2167 computations (61.9% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))) (cbrt.f64 (*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))))
4.7b	(cbrt.f64 (*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))))
4.7b	(cbrt.f64 (*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))))
4.7b	(cbrt.f64 (*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))))

rewrite178.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

11×	`pow1_binary64_21963`
10×	`add-sqr-sqrt_binary64_21924`
9×	`pow1/3_binary64_21984`
8×	`add-cube-cbrt_binary64_21937` `associate-r/_binary64_21844` `-un-lft-identity_binary64_21902`
7×	`cbrt-div_binary64_21934` `cbrt-prod_binary64_21933`
6×	`add-exp-log_binary64_21940`
4×	`add-log-exp_binary64_21941` `add-cbrt-cube_binary64_21938` `swap-sqr_binary64_21869` `associate-l_binary64_21843` `associate-r_binary64_21842`
2×	`pow-prod-down_binary64_21973` `pow-prod-up_binary64_21972` `pow-sqr_binary64_21875`
1×	`pow2_binary64_21983` `pow-plus_binary64_21965` `prod-exp_binary64_21951` `cbrt-unprod_binary64_21935` `frac-times_binary64_21912` `unswap-sqr_binary64_21870` `associate-l/_binary64_21845` `-commutative_binary64_21833`

Counts

4 → 64

Calls

4 calls:

17.0ms	(cbrt.f64 (*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))))
17.0ms	(cbrt.f64 (*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))))
15.0ms	(cbrt.f64 (*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))))
10.0ms	(.f64 (cbrt.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))) (cbrt.f64 (*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))))

Compiler

Compiled 2796 to 1160 computations (58.5% saved)

series5.7s (33.6%)

Error

0.0b

Counts

4 → 86

Calls

4 calls:

2.5s	(.f64 (cbrt.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))) (cbrt.f64 (*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))))
933.0ms	(cbrt.f64 (*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))))
917.0ms	(cbrt.f64 (*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))))
874.0ms	(cbrt.f64 (*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))))

Compiler

Compiled 21593 to 15121 computations (30% saved)

simplify122.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5184	10826

prune612.0ms (3.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	150	7	157

Error

0.0b

Counts

157 → 7

Compiler

Compiled 10687 to 5662 computations (47% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))
0.6b	(cbrt.f64 (-.f64 x y))
0.6b	(cbrt.f64 (-.f64 x y))
0.6b	(cbrt.f64 (-.f64 x y))

rewrite156.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

43×	`cbrt-prod_binary64_21933`
37×	`add-sqr-sqrt_binary64_21924`
35×	`*-un-lft-identity_binary64_21902`
18×	`cbrt-div_binary64_21934`
15×	`add-cube-cbrt_binary64_21937`
11×	`pow1_binary64_21963`
10×	`swap-sqr_binary64_21869`
9×	`pow1/3_binary64_21984` `flip3--_binary64_21906` `flip--_binary64_21877` `distribute-lft-out--_binary64_21854`
8×	`associate-l_binary64_21843` `associate-r_binary64_21842`
7×	`difference-of-squares_binary64_21871`
6×	`add-exp-log_binary64_21940`
4×	`add-log-exp_binary64_21941` `add-cbrt-cube_binary64_21938` `frac-times_binary64_21912` `unswap-sqr_binary64_21870`
2×	`pow-prod-down_binary64_21973` `pow-prod-up_binary64_21972` `pow-sqr_binary64_21875` `associate-l/_binary64_21845` `associate-r/_binary64_21844`
1×	`pow2_binary64_21983` `pow-plus_binary64_21965` `prod-exp_binary64_21951` `cbrt-unprod_binary64_21935` `*-commutative_binary64_21833`

Counts

4 → 101

Calls

4 calls:

12.0ms	(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))
6.0ms	(cbrt.f64 (-.f64 x y))
4.0ms	(cbrt.f64 (-.f64 x y))
3.0ms	(cbrt.f64 (-.f64 x y))

Compiler

Compiled 3230 to 931 computations (71.2% saved)

series467.0ms (2.7%)

Error

0.0b

Counts

4 → 36

Calls

4 calls:

147.0ms	(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))
105.0ms	(cbrt.f64 (-.f64 x y))
91.0ms	(cbrt.f64 (-.f64 x y))
79.0ms	(cbrt.f64 (-.f64 x y))

Compiler

Compiled 3039 to 2242 computations (26.2% saved)

simplify124.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	4912	1815
1	4912	1815

prune161.0ms (0.9%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	137	7	144

Error

0.0b

Counts

144 → 7

Compiler

Compiled 3871 to 1308 computations (66.2% saved)

regimes1.4s (7.9%)

Accuracy

Total 0.1b remaining (91.3%)

Threshold costs 0.1b (91.3%)

Compiler

Compiled 13240 to 10986 computations (17% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	61	28
1	61	28

end0.0ms (0%)

sample2.0s (11.9%)

Algorithm

1×

intervals

Results

411.0ms	7869×	body	128	valid
30.0ms	644×	body	128	invalid
9.0ms	42×	body	2048	valid
8.0ms	48×	body	1024	valid
3.0ms	19×	body	512	valid
2.0ms	19×	body	256	valid
1.0ms	3×	body	4096	valid

Compiler

Compiled 1103 to 921 computations (16.5% saved)

Details

analyze1.9s (11%)

sample30.0ms (0.2%)

simplify171.0ms (1%)

prune2.0ms (0%)

localize10.0ms (0.1%)

rewrite180.0ms (1.1%)

series1.2s (7.3%)

simplify113.0ms (0.7%)

prune213.0ms (1.2%)

localize10.0ms (0.1%)

rewrite201.0ms (1.2%)

series1.7s (9.7%)

simplify117.0ms (0.7%)

prune267.0ms (1.6%)

localize18.0ms (0.1%)

rewrite178.0ms (1%)

series5.7s (33.6%)

simplify122.0ms (0.7%)

prune612.0ms (3.6%)

localize27.0ms (0.2%)

rewrite156.0ms (0.9%)

series467.0ms (2.7%)

simplify124.0ms (0.7%)

prune161.0ms (0.9%)

regimes1.4s (7.9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.0s (11.9%)

Profiling