Details

analyze295.0ms (7.5%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4679	13
1	4679	13
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	3
50%	25%	25%	4
50%	25%	25%	4
62.5%	12.5%	25%	5
62.5%	12.5%	25%	5
62.5%	6.2%	31.3%	6
62.5%	6.2%	31.3%	6
65.6%	3.1%	31.3%	7
65.6%	3.1%	31.3%	7
65.6%	1.6%	32.8%	8
65.6%	1.6%	32.8%	8
66.4%	0.8%	32.8%	9
66.4%	0.8%	32.8%	9
66.4%	0.4%	33.2%	10
66.4%	0.4%	33.2%	10
66.6%	0.2%	33.2%	11
66.6%	0.2%	33.2%	11
66.6%	0.1%	33.3%	12
66.6%	0.1%	33.3%	12
66.6%	0%	33.4%	13
66.6%	0%	33.4%	13
66.6%	0%	33.4%	14
66.6%	0%	33.4%	14

Compiler

Compiled 20 to 16 computations (20% saved)

sample142.0ms (3.6%)

Algorithm

2×

intervals

Results

11.0ms	512×	body	128	valid
6.0ms	266×	body	128	invalid

Compiler

Compiled 4049 to 3643 computations (10% saved)

simplify148.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (142.0ms)

Iter	Nodes	Cost
0	4679	13
1	4679	13

prune2.0ms (0.1%)

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

0.2b

Counts

2 → 1

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.2b	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))

rewrite44.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`pow1_binary64_20940` `add-exp-log_binary64_20917` `add-cbrt-cube_binary64_20915`
3×	`pow-prod-down_binary64_20950` `prod-exp_binary64_20928` `cbrt-unprod_binary64_20912` `add-sqr-sqrt_binary64_20901` `associate-r_binary64_20819`
2×	`add-cube-cbrt_binary64_20914` `-un-lft-identity_binary64_20879` `sub-neg_binary64_20872` `distribute-rgt-in_binary64_20829` `cancel-sign-sub-inv_binary64_20845` `distribute-lft-in_binary64_20828` `associate-r/_binary64_20821`
1×	`add-log-exp_binary64_20918` `unswap-sqr_binary64_20847` `flip3--_binary64_20883` `flip--_binary64_20854` `associate-l_binary64_20820` `*-commutative_binary64_20810`

Counts

1 → 25

Calls

1 calls:

8.0ms

(*.f64 (*.f64 x x) (-.f64 3 (*.f64 x 2)))

Compiler

Compiled 429 to 275 computations (35.9% saved)

series89.0ms (2.2%)

Error

0.2b

Counts

1 → 6

Calls

1 calls:

83.0ms

(*.f64 (*.f64 x x) (-.f64 3 (*.f64 x 2)))

Compiler

Compiled 129 to 115 computations (10.9% saved)

simplify57.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5105	438

prune39.0ms (1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	26	5	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	6	32

Error

0.0b

Counts

32 → 6

Compiler

Compiled 477 to 344 computations (27.9% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 x (-.f64 3 (.f64 x 2)))
0.2b	(.f64 x (.f64 x (-.f64 3 (*.f64 x 2))))

rewrite69.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`distribute-rgt-in_binary64_20829` `distribute-lft-in_binary64_20828`
9×	`pow1_binary64_20940` `add-exp-log_binary64_20917` `add-cbrt-cube_binary64_20915`
7×	`add-sqr-sqrt_binary64_20901`
6×	`sub-neg_binary64_20872` `cancel-sign-sub-inv_binary64_20845` `associate-r/_binary64_20821` `associate-l*_binary64_20820`
5×	`add-cube-cbrt_binary64_20914` `*-un-lft-identity_binary64_20879`
4×	`pow-prod-down_binary64_20950` `prod-exp_binary64_20928` `cbrt-unprod_binary64_20912` `associate-r_binary64_20819`
2×	`add-log-exp_binary64_20918` `flip3--_binary64_20883` `flip--_binary64_20854` `*-commutative_binary64_20810`
1×	`unswap-sqr_binary64_20847`

Counts

2 → 52

Calls

2 calls:

7.0ms	(.f64 x (.f64 x (-.f64 3 (*.f64 x 2))))
6.0ms	(.f64 x (-.f64 3 (.f64 x 2)))

Compiler

Compiled 844 to 581 computations (31.2% saved)

series159.0ms (4%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

86.0ms	(.f64 x (.f64 x (-.f64 3 (*.f64 x 2))))
64.0ms	(.f64 x (-.f64 3 (.f64 x 2)))

Compiler

Compiled 266 to 222 computations (16.5% saved)

simplify52.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5104	810

prune58.0ms (1.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	62	2	64
Fresh	3	1	4
Picked	0	1	1
Done	0	1	1
Total	65	5	70

Error

Counts

70 → 5

Compiler

Compiled 860 to 582 computations (32.3% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (pow.f64 x 3) -2)
0.0b	(+.f64 (.f64 3 (.f64 x x)) (*.f64 (pow.f64 x 3) -2))
0.2b	(.f64 3 (.f64 x x))

rewrite89.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`add-sqr-sqrt_binary64_20901`
15×	`associate-l_binary64_20820`
13×	`add-exp-log_binary64_20917`
10×	`add-cbrt-cube_binary64_20915`
8×	`pow1_binary64_20940` `add-cube-cbrt_binary64_20914` `*-un-lft-identity_binary64_20879`
6×	`prod-exp_binary64_20928`
5×	`add-log-exp_binary64_20918` `unswap-sqr_binary64_20847`
4×	`cbrt-unprod_binary64_20912` `associate-r_binary64_20819` `unpow-prod-down_binary64_20958` `cube-prod_binary64_20907`
3×	`pow-prod-down_binary64_20950`
2×	`*-commutative_binary64_20810` `sqr-pow_binary64_20851`
1×	`sum-log_binary64_20970` `flip3-+_binary64_20882` `flip-+_binary64_20853` `+-commutative_binary64_20809` `pow-to-exp_binary64_20948` `pow-exp_binary64_20947` `unpow3_binary64_20945` `cube-mult_binary64_20909`

Counts

3 → 61

Calls

3 calls:

6.0ms	(+.f64 (.f64 3 (.f64 x x)) (*.f64 (pow.f64 x 3) -2))
6.0ms	(*.f64 (pow.f64 x 3) -2)
5.0ms	(.f64 3 (.f64 x x))

Compiler

Compiled 1100 to 751 computations (31.7% saved)

series203.0ms (5.1%)

Error

Counts

3 → 12

Calls

3 calls:

106.0ms	(+.f64 (.f64 3 (.f64 x x)) (*.f64 (pow.f64 x 3) -2))
47.0ms	(*.f64 (pow.f64 x 3) -2)
41.0ms	(.f64 3 (.f64 x x))

Compiler

Compiled 327 to 278 computations (15% saved)

simplify70.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5022	755

prune70.0ms (1.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	73	5	78

Error

Counts

78 → 5

Compiler

Compiled 1090 to 755 computations (30.7% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(.f64 x (-.f64 9 (.f64 x (*.f64 x 4))))
0.2b	(.f64 x (.f64 x (-.f64 9 (.f64 x (.f64 x 4)))))
4.7b	(/.f64 (.f64 x (.f64 x (-.f64 9 (.f64 x (.f64 x 4))))) (+.f64 3 (*.f64 x 2)))

rewrite143.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`add-exp-log_binary64_20917` `add-cbrt-cube_binary64_20915`
10×	`pow1_binary64_20940` `add-sqr-sqrt_binary64_20901` `associate-*r/_binary64_20821` `distribute-rgt-in_binary64_20829` `distribute-lft-in_binary64_20828`
8×	`add-cube-cbrt_binary64_20914` `*-un-lft-identity_binary64_20879`
7×	`prod-exp_binary64_20928` `cbrt-unprod_binary64_20912`
6×	`sub-neg_binary64_20872` `cancel-sign-sub-inv_binary64_20845` `associate-l_binary64_20820`
4×	`pow-prod-down_binary64_20950` `associate-r_binary64_20819`
3×	`div-exp_binary64_20930` `add-log-exp_binary64_20918` `cbrt-undiv_binary64_20913` `times-frac_binary64_20885` `flip3--_binary64_20883` `flip--_binary64_20854` `associate-/r*_binary64_20823`
2×	`associate-/l/_binary64_20826` `associate-/r/_binary64_20825` `*-commutative_binary64_20810`
1×	`frac-2neg_binary64_20890` `clear-num_binary64_20878` `div-inv_binary64_20876` `flip3-+_binary64_20882` `flip-+_binary64_20853` `associate-/l*_binary64_20824` `unswap-sqr_binary64_20847`

Counts

3 → 79

Calls

3 calls:

10.0ms	(/.f64 (.f64 x (.f64 x (-.f64 9 (.f64 x (.f64 x 4))))) (+.f64 3 (*.f64 x 2)))
7.0ms	(.f64 x (.f64 x (-.f64 9 (.f64 x (.f64 x 4)))))
6.0ms	(.f64 x (-.f64 9 (.f64 x (*.f64 x 4))))

Compiler

Compiled 2140 to 1523 computations (28.8% saved)

series399.0ms (10.1%)

Error

Counts

3 → 18

Calls

3 calls:

145.0ms	(/.f64 (.f64 x (.f64 x (-.f64 9 (.f64 x (.f64 x 4))))) (+.f64 3 (*.f64 x 2)))
120.0ms	(.f64 x (.f64 x (-.f64 9 (.f64 x (.f64 x 4)))))
118.0ms	(.f64 x (-.f64 9 (.f64 x (*.f64 x 4))))

Compiler

Compiled 575 to 486 computations (15.5% saved)

simplify61.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5040	1728

prune120.0ms (3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	97	5	102

Error

Counts

102 → 5

Compiler

Compiled 1990 to 1469 computations (26.2% saved)

regimes201.0ms (5.1%)

Accuracy

Total 0.2b remaining (99.8%)

Threshold costs 0.2b (99.8%)

Compiler

Compiled 1906 to 1482 computations (22.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	16
1	13	16

end0.0ms (0%)

sample1.4s (35.9%)

Algorithm

1×

intervals

Results

176.0ms	8000×	body	128	valid
101.0ms	4028×	body	128	invalid

Compiler

Compiled 907 to 709 computations (21.8% saved)

Details

analyze295.0ms (7.5%)

sample142.0ms (3.6%)

simplify148.0ms (3.7%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

rewrite44.0ms (1.1%)

series89.0ms (2.2%)

simplify57.0ms (1.4%)

prune39.0ms (1%)

localize5.0ms (0.1%)

rewrite69.0ms (1.8%)

series159.0ms (4%)

simplify52.0ms (1.3%)

prune58.0ms (1.5%)

localize6.0ms (0.2%)

rewrite89.0ms (2.3%)

series203.0ms (5.1%)

simplify70.0ms (1.8%)

prune70.0ms (1.8%)

localize10.0ms (0.2%)

rewrite143.0ms (3.6%)

series399.0ms (10.1%)

simplify61.0ms (1.5%)

prune120.0ms (3%)

regimes201.0ms (5.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.4s (35.9%)

Profiling