Details

analyze171.0ms (3.2%)

Algorithm

1×

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%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
12.5%	43.7%	43.8%	7
12.5%	43.7%	43.8%	8
25%	28.1%	47%	9
28.1%	20.3%	51.6%	10
28.1%	20.3%	51.6%	11
34.3%	13.3%	52.4%	12
35.9%	9.8%	54.4%	13
35.9%	9.8%	54.4%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample23.0ms (0.4%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
1.0ms	11×	body	128	invalid
0.0ms	3×	body	128	nan

Compiler

Compiled 25 to 26 computations (-4% saved)

simplify198.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	682	18
1	682	18

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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 24 to 22 computations (8.3% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
0.0b	(+.f64 (-.f64 1 z) (log.f64 z))
0.2b	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))

rewrite33.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`*-un-lft-identity_binary64_9711`
9×	`add-sqr-sqrt_binary64_9733` `pow1_binary64_9772`
8×	`add-log-exp_binary64_9750` `distribute-lft-out_binary64_9662`
7×	`associate-r_binary64_9651` `add-cube-cbrt_binary64_9746`
5×	`add-exp-log_binary64_9749` `add-cbrt-cube_binary64_9747` `associate-+r+_binary64_9643`
4×	`log-pow_binary64_9800` `distribute-lft-out--_binary64_9663` `associate-+l+_binary64_9644`
3×	`sum-log_binary64_9802` `associate-l_binary64_9652` `cancel-sign-sub-inv_binary64_9677` `flip-+_binary64_9685` `log-prod_binary64_9797` `flip3-+_binary64_9714`
2×	`distribute-rgt-in_binary64_9661` `associate-*r/_binary64_9653` `distribute-lft-in_binary64_9660` `+-commutative_binary64_9641`
1×	`diff-log_binary64_9803` `*-commutative_binary64_9642` `unswap-sqr_binary64_9679` `cbrt-unprod_binary64_9744` `pow-prod-down_binary64_9782` `prod-exp_binary64_9760` `sub-neg_binary64_9704` `associate-+l-_binary64_9646`

Counts

3 → 63

Calls

3 calls:

12.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
9.0ms	(+.f64 (-.f64 1 z) (log.f64 z))
7.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))

series300.0ms (5.6%)

Counts

3 → 9

Calls

3 calls:

107.0ms	(+.f64 (-.f64 1 z) (log.f64 z))
107.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
85.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))

simplify72.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4963	1057
1	4963	1057

prune170.0ms (3.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	66	6	72
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	66	7	73

Merged error: 0b

Counts

73 → 7

Compiler

Compiled 2989 to 2117 computations (29.2% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(+.f64 (+.f64 (-.f64 1 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z)))
0.2b	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z))))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite36.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64_9711`
12×	`add-sqr-sqrt_binary64_9733`
10×	`add-log-exp_binary64_9750` `add-cube-cbrt_binary64_9746`
9×	`cbrt-prod_binary64_9742`
8×	`pow1_binary64_9772`
6×	`add-exp-log_binary64_9749` `add-cbrt-cube_binary64_9747` `log-prod_binary64_9797` `associate-+r+_binary64_9643`
5×	`sum-log_binary64_9802` `associate-r_binary64_9651`
4×	`distribute-lft-out_binary64_9662`
3×	`associate-l_binary64_9652`
2×	`log-pow_binary64_9800` `pow1/3_binary64_9793` `flip-+_binary64_9685` `associate-*r/_binary64_9653` `associate-+l-_binary64_9646` `flip3-+_binary64_9714`
1×	`diff-log_binary64_9803` `*-commutative_binary64_9642` `unswap-sqr_binary64_9679` `cbrt-unprod_binary64_9744` `pow-prod-down_binary64_9782` `distribute-rgt-in_binary64_9661` `distribute-lft-in_binary64_9660` `prod-exp_binary64_9760` `+-commutative_binary64_9641` `associate-+l+_binary64_9644`

Counts

4 → 69

Calls

4 calls:

14.0ms	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z))))
12.0ms	(+.f64 (+.f64 (-.f64 1 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z)))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series909.0ms (17.1%)

Counts

4 → 12

Calls

4 calls:

359.0ms	(+.f64 (+.f64 (-.f64 1 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z)))
250.0ms	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z))))
152.0ms	(cbrt.f64 z)
147.0ms	(cbrt.f64 z)

simplify73.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4892	980
1	4892	980

prune131.0ms (2.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	81	7	88

Merged error: 0b

Counts

88 → 7

Compiler

Compiled 2496 to 1540 computations (38.3% saved)

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (pow.f64 z 1/3))))
0.2b	(+.f64 (+.f64 (-.f64 1 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (pow.f64 z 1/3)))
0.6b	(cbrt.f64 z)
4.9b	(pow.f64 z 1/3)

rewrite37.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64_9711`
13×	`add-sqr-sqrt_binary64_9733`
11×	`add-cube-cbrt_binary64_9746`
10×	`add-log-exp_binary64_9750`
7×	`add-exp-log_binary64_9749` `pow1_binary64_9772` `log-prod_binary64_9797` `associate-+r+_binary64_9643`
6×	`add-cbrt-cube_binary64_9747` `unpow-prod-down_binary64_9790`
5×	`sum-log_binary64_9802`
4×	`associate-r_binary64_9651`
3×	`cbrt-prod_binary64_9742` `associate-l_binary64_9652` `pow-unpow_binary64_9788`
2×	`sqr-pow_binary64_9683` `flip-+_binary64_9685` `associate-*r/_binary64_9653` `associate-+l-_binary64_9646` `distribute-lft-out_binary64_9662` `flip3-+_binary64_9714`
1×	`diff-log_binary64_9803` `unpow1/3_binary64_9778` `pow-pow_binary64_9783` `*-commutative_binary64_9642` `unswap-sqr_binary64_9679` `pow1/3_binary64_9793` `cbrt-unprod_binary64_9744` `pow-to-exp_binary64_9780` `pow-prod-down_binary64_9782` `distribute-rgt-in_binary64_9661` `distribute-lft-in_binary64_9660` `prod-exp_binary64_9760` `pow-exp_binary64_9779` `+-commutative_binary64_9641` `associate-+l+_binary64_9644`

Counts

4 → 75

Calls

4 calls:

13.0ms	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (pow.f64 z 1/3))))
13.0ms	(+.f64 (+.f64 (-.f64 1 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (pow.f64 z 1/3)))
2.0ms	(pow.f64 z 1/3)
2.0ms	(cbrt.f64 z)

series1.2s (21.7%)

Counts

4 → 12

Calls

4 calls:

472.0ms	(+.f64 (+.f64 (-.f64 1 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (pow.f64 z 1/3)))
339.0ms	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (pow.f64 z 1/3))))
174.0ms	(pow.f64 z 1/3)
168.0ms	(cbrt.f64 z)

simplify60.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4992	1018
1	4992	1018

prune102.0ms (1.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	87	7	94

Merged error: 0b

Counts

94 → 7

Compiler

Compiled 1979 to 1274 computations (35.6% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite17.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_9742`
23×	`add-sqr-sqrt_binary64_9733`
15×	`*-un-lft-identity_binary64_9711` `add-cube-cbrt_binary64_9746`
11×	`pow1_binary64_9772`
9×	`pow1/3_binary64_9793`
6×	`add-exp-log_binary64_9749` `associate-r_binary64_9651` `associate-l_binary64_9652` `swap-sqr_binary64_9678`
4×	`unswap-sqr_binary64_9679` `add-cbrt-cube_binary64_9747` `add-log-exp_binary64_9750`
2×	`pow-sqr_binary64_9684` `pow-prod-up_binary64_9781` `pow-prod-down_binary64_9782`
1×	`pow2_binary64_9792` `*-commutative_binary64_9642` `cbrt-unprod_binary64_9744` `pow-plus_binary64_9774` `prod-exp_binary64_9760`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series665.0ms (12.5%)

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt.f64 y)
172.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
164.0ms	(cbrt.f64 y)
150.0ms	(cbrt.f64 y)

simplify56.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5245	563

prune115.0ms (2.2%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	85	7	92

Merged error: 0b

Counts

92 → 7

Compiler

Compiled 2363 to 1323 computations (44% saved)

regimes133.0ms (2.5%)

Compiler: Compiled 1128 to 920 computations (18.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	18
1	26	18

end0.0ms (0%)

sample802.0ms (15.1%)

Algorithm

1×

intervals

Results

390.0ms	8000×	body	128	valid
16.0ms	334×	body	128	invalid
3.0ms	69×	body	128	nan

Compiler

Compiled 189 to 156 computations (17.5% saved)

Details

analyze171.0ms (3.2%)

sample23.0ms (0.4%)

simplify198.0ms (3.7%)

prune2.0ms (0%)

localize12.0ms (0.2%)

rewrite33.0ms (0.6%)

series300.0ms (5.6%)

simplify72.0ms (1.4%)

prune170.0ms (3.2%)

localize13.0ms (0.2%)

rewrite36.0ms (0.7%)

series909.0ms (17.1%)

simplify73.0ms (1.4%)

prune131.0ms (2.5%)

localize21.0ms (0.4%)

rewrite37.0ms (0.7%)

series1.2s (21.7%)

simplify60.0ms (1.1%)

prune102.0ms (1.9%)

localize13.0ms (0.2%)

rewrite17.0ms (0.3%)

series665.0ms (12.5%)

simplify56.0ms (1.1%)

prune115.0ms (2.2%)

regimes133.0ms (2.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample802.0ms (15.1%)

Profiling