Details

analyze514.0ms (7.1%)

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%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
31.2%	68.6%	0.1%	8
35.9%	60.8%	3.3%	9
44.1%	48%	7.9%	10
54.8%	36.9%	8.3%	11
57.6%	31.5%	10.9%	12
61.9%	24%	14.1%	13
67.2%	18.6%	14.2%	14

Compiler

Compiled 10 to 10 computations (0% saved)

sample33.0ms (0.5%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
1.0ms	23×	body	128	invalid

Compiler

Compiled 19 to 22 computations (-15.8% saved)

simplify217.0ms (3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	537	13
1	537	13

prune4.0ms (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

Merged error: 1.6b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 1 (*.f64 (-.f64 1 y) z))
1.5b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

rewrite24.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_21242`
4×	`pow1_binary64_21281` `add-log-exp_binary64_21259` `add-cbrt-cube_binary64_21256` `add-exp-log_binary64_21258` `add-cube-cbrt_binary64_21255` `*-un-lft-identity_binary64_21220`
3×	`associate-r_binary64_21160` `cancel-sign-sub-inv_binary64_21186` `sub-neg_binary64_21213` `associate-l_binary64_21161`
2×	`distribute-lft-in_binary64_21169` `flip3--_binary64_21224` `associate-*r/_binary64_21162` `flip--_binary64_21195` `distribute-rgt-in_binary64_21170`
1×	`*-commutative_binary64_21151` `diff-log_binary64_21312` `prod-exp_binary64_21269` `pow-prod-down_binary64_21291` `cbrt-unprod_binary64_21253` `unswap-sqr_binary64_21188`

Counts

2 → 36

Calls

2 calls:

13.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
7.0ms	(-.f64 1 (*.f64 (-.f64 1 y) z))

series105.0ms (1.5%)

Counts

2 → 6

Calls

2 calls:

76.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
29.0ms	(-.f64 1 (*.f64 (-.f64 1 y) z))

simplify97.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4958	623
1	4958	623

prune95.0ms (1.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	34	8	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	9	43

Merged error: 1.5b

Counts

43 → 9

Compiler

Compiled 768 to 545 computations (29% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.5b	(.f64 x (.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 (-.f64 1 y) z))) (cbrt.f64 (-.f64 1 (.f64 (-.f64 1 y) z)))) (cbrt.f64 (-.f64 1 (.f64 (-.f64 1 y) z)))))
1.7b	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))
1.7b	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))
1.7b	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))

rewrite86.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`cbrt-div_binary64_21252`
34×	`associate-*r/_binary64_21162`
30×	`flip3--_binary64_21224` `flip--_binary64_21195`
28×	`frac-times_binary64_21230`
14×	`associate-*l/_binary64_21163`
13×	`pow1_binary64_21281` `add-exp-log_binary64_21258`
9×	`add-cbrt-cube_binary64_21256` `cbrt-prod_binary64_21251`
8×	`add-cube-cbrt_binary64_21255` `*-un-lft-identity_binary64_21220` `add-sqr-sqrt_binary64_21242`
6×	`prod-exp_binary64_21269` `pow-prod-down_binary64_21291` `cbrt-unprod_binary64_21253`
4×	`add-log-exp_binary64_21259`
3×	`pow1/3_binary64_21302` `associate-l_binary64_21161`
1×	`associate-r_binary64_21160` `*-commutative_binary64_21151`

Counts

4 → 86

Calls

4 calls:

43.0ms	(.f64 x (.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 (-.f64 1 y) z))) (cbrt.f64 (-.f64 1 (.f64 (-.f64 1 y) z)))) (cbrt.f64 (-.f64 1 (.f64 (-.f64 1 y) z)))))
6.0ms	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))
6.0ms	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))
6.0ms	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))

series434.0ms (6%)

Counts

4 → 12

Calls

4 calls:

125.0ms	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))
123.0ms	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))
113.0ms	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))
73.0ms	(.f64 x (.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 (-.f64 1 y) z))) (cbrt.f64 (-.f64 1 (.f64 (-.f64 1 y) z)))) (cbrt.f64 (-.f64 1 (.f64 (-.f64 1 y) z)))))

simplify128.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4932	2652
1	4932	2652

prune344.0ms (4.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	96	2	98
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	98	9	107

Merged error: 1.5b

Counts

107 → 9

Compiler

Compiled 4047 to 3066 computations (24.2% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z))) 2)
0.4b	(.f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 (-.f64 1 y) z))) 2) x)
1.7b	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))
1.7b	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))

rewrite50.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_21242`
14×	`unpow-prod-down_binary64_21299`
13×	`add-cube-cbrt_binary64_21255` `cbrt-prod_binary64_21251` `*-un-lft-identity_binary64_21220`
11×	`associate-l_binary64_21161`
10×	`add-exp-log_binary64_21258`
6×	`add-cbrt-cube_binary64_21256`
5×	`pow1_binary64_21281` `unswap-sqr_binary64_21188`
4×	`add-log-exp_binary64_21259` `cbrt-div_binary64_21252`
3×	`associate-r_binary64_21160` `pow-unpow_binary64_21297` `sqr-pow_binary64_21192` `prod-exp_binary64_21269` `pow1/3_binary64_21302` `unpow2_binary64_21285`
2×	`flip3--_binary64_21224` `pow-exp_binary64_21288` `pow-to-exp_binary64_21289` `flip--_binary64_21195` `pow-pow_binary64_21292`
1×	`*-commutative_binary64_21151` `cbrt-unprod_binary64_21253`

Counts

4 → 79

Calls

4 calls:

17.0ms	(.f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 (-.f64 1 y) z))) 2) x)
9.0ms	(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z))) 2)
6.0ms	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))
6.0ms	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))

series1.2s (16%)

Counts

4 → 12

Calls

4 calls:

574.0ms	(.f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 (-.f64 1 y) z))) 2) x)
310.0ms	(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z))) 2)
140.0ms	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))
131.0ms	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))

simplify112.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4939	1924
1	4939	1924

prune260.0ms (3.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	91	9	100

Merged error: 1.5b

Counts

100 → 9

Compiler

Compiled 2802 to 2162 computations (22.8% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 (-.f64 1 y) z))) (.f64 (cbrt.f64 (-.f64 1 (.f64 (-.f64 1 y) z))) x)) (cbrt.f64 (-.f64 1 (.f64 (-.f64 1 y) z))))
1.7b	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))
1.7b	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))
1.7b	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))

rewrite73.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`cbrt-div_binary64_21252`
32×	`associate-*l/_binary64_21163`
30×	`flip3--_binary64_21224` `flip--_binary64_21195`
28×	`frac-times_binary64_21230`
13×	`pow1_binary64_21281` `add-exp-log_binary64_21258`
12×	`cbrt-prod_binary64_21251`
9×	`add-cube-cbrt_binary64_21255` `*-un-lft-identity_binary64_21220` `add-sqr-sqrt_binary64_21242`
8×	`associate-*r/_binary64_21162`
7×	`add-cbrt-cube_binary64_21256`
6×	`associate-r_binary64_21160` `prod-exp_binary64_21269` `pow-prod-down_binary64_21291` `cbrt-unprod_binary64_21253`
4×	`add-log-exp_binary64_21259`
3×	`pow1/3_binary64_21302`
1×	`-commutative_binary64_21151` `associate-l*_binary64_21161`

Counts

4 → 89

Calls

4 calls:

34.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 (-.f64 1 y) z))) (.f64 (cbrt.f64 (-.f64 1 (.f64 (-.f64 1 y) z))) x)) (cbrt.f64 (-.f64 1 (.f64 (-.f64 1 y) z))))
5.0ms	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))
5.0ms	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))
5.0ms	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))

series507.0ms (7%)

Counts

4 → 12

Calls

4 calls:

147.0ms	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))
141.0ms	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))
135.0ms	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))
84.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 (-.f64 1 y) z))) (.f64 (cbrt.f64 (-.f64 1 (.f64 (-.f64 1 y) z))) x)) (cbrt.f64 (-.f64 1 (.f64 (-.f64 1 y) z))))

simplify201.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (133.0ms)

Iter	Nodes	Cost
0	4942	3489
1	4942	3489

prune339.0ms (4.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	101	9	110

Merged error: 1.5b

Counts

110 → 9

Compiler

Compiled 3801 to 2834 computations (25.4% saved)

regimes571.0ms (7.9%)

Compiler: Compiled 3421 to 2986 computations (12.7% saved)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	99	13
1	99	13

end0.0ms (0%)

sample1.8s (24.8%)

Algorithm

1×

intervals

Results

421.0ms	8000×	body	128	valid
38.0ms	666×	body	128	invalid

Compiler

Compiled 555 to 474 computations (14.6% saved)

Details

analyze514.0ms (7.1%)

sample33.0ms (0.5%)

simplify217.0ms (3%)

prune4.0ms (0.1%)

localize12.0ms (0.2%)

rewrite24.0ms (0.3%)

series105.0ms (1.5%)

simplify97.0ms (1.3%)

prune95.0ms (1.3%)

localize21.0ms (0.3%)

rewrite86.0ms (1.2%)

series434.0ms (6%)

simplify128.0ms (1.8%)

prune344.0ms (4.8%)

localize20.0ms (0.3%)

rewrite50.0ms (0.7%)

series1.2s (16%)

simplify112.0ms (1.6%)

prune260.0ms (3.6%)

localize19.0ms (0.3%)

rewrite73.0ms (1%)

series507.0ms (7%)

simplify201.0ms (2.8%)

prune339.0ms (4.7%)

regimes571.0ms (7.9%)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample1.8s (24.8%)

Profiling