Details

analyze678.0ms (8.5%)

Algorithm

1×

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
7.8%	92%	0.2%	8
16.4%	83.4%	0.2%	9
23.8%	76%	0.2%	10
25.1%	74.7%	0.2%	11
38.1%	59.4%	2.5%	12
41.8%	55.3%	2.9%	13
46.5%	50.3%	3.1%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample22.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
2.0ms	50×	body	128	invalid

Compiler

Compiled 23 to 25 computations (-8.7% saved)

simplify418.0ms (5.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (238.0ms)

Iter	Nodes	Cost
0	1430	16
1	1430	16

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: 2.6b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite77.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

87×	`add-sqr-sqrt_binary64_5261`
83×	`*-un-lft-identity_binary64_5239`
72×	`cancel-sign-sub-inv_binary64_5205`
70×	`times-frac_binary64_5245`
34×	`add-cube-cbrt_binary64_5274`
26×	`difference-of-squares_binary64_5208`
25×	`distribute-rgt-in_binary64_5189` `distribute-lft-in_binary64_5188`
17×	`distribute-lft-out--_binary64_5191`
10×	`associate-r_binary64_5179`
6×	`associate-/r/_binary64_5185`
5×	`flip--_binary64_5214` `flip3--_binary64_5243`
4×	`add-cbrt-cube_binary64_5275` `pow1_binary64_5300` `add-log-exp_binary64_5278` `add-exp-log_binary64_5277`
3×	`associate-r/_binary64_5181` `sub-neg_binary64_5232` `div-inv_binary64_5236` `associate-l*_binary64_5180`
2×	`frac-sub_binary64_5248`
1×	`unswap-sqr_binary64_5207` `prod-exp_binary64_5288` `diff-log_binary64_5331` `*-commutative_binary64_5170` `cbrt-unprod_binary64_5272` `pow-prod-down_binary64_5310`

Counts

2 → 121

Calls

2 calls:

36.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
27.0ms	(-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))

series232.0ms (2.9%)

Counts

2 → 6

Calls

2 calls:

152.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
79.0ms	(-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))

simplify67.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5235	2478

prune313.0ms (3.9%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	115	12	127
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	115	13	128

Merged error: 1.0b

Counts

128 → 13

Compiler

Compiled 6430 to 4075 computations (36.6% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(.f64 x (.f64 (cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))) (cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))))
3.4b	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
3.4b	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
3.4b	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

rewrite152.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`add-sqr-sqrt_binary64_5261`
41×	`*-un-lft-identity_binary64_5239`
33×	`cbrt-div_binary64_5271`
30×	`cbrt-prod_binary64_5270`
24×	`times-frac_binary64_5245`
18×	`associate-*r/_binary64_5181`
12×	`difference-of-squares_binary64_5208` `distribute-lft-out--_binary64_5191`
11×	`frac-sub_binary64_5248` `flip--_binary64_5214` `flip3--_binary64_5243`
9×	`pow1_binary64_5300` `frac-times_binary64_5249` `add-exp-log_binary64_5277`
8×	`add-cube-cbrt_binary64_5274`
7×	`add-cbrt-cube_binary64_5275`
4×	`add-log-exp_binary64_5278`
3×	`associate-l/_binary64_5182` `prod-exp_binary64_5288` `cbrt-unprod_binary64_5272` `pow1/3_binary64_5321` `pow-prod-down_binary64_5310` `associate-l*_binary64_5180`
1×	`unswap-sqr_binary64_5207` `associate-r_binary64_5179` `*-commutative_binary64_5170`

Counts

4 → 97

Calls

4 calls:

58.0ms	(.f64 x (.f64 (cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))) (cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))))
27.0ms	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
24.0ms	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
24.0ms	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

series1.3s (16.6%)

Counts

4 → 12

Calls

4 calls:

406.0ms	(.f64 x (.f64 (cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))) (cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))))
311.0ms	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
301.0ms	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
300.0ms	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

simplify63.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5350	3265

prune250.0ms (3.1%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	1	10	11
Picked	0	1	1
Done	0	1	1
Total	108	14	122

Merged error: 0.9b

Counts

122 → 14

Compiler

Compiled 6127 to 3484 computations (43.1% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
1.4b	(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))) (cbrt.f64 x))
1.5b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))) (cbrt.f64 x)))

rewrite78.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64_5261`
20×	`*-un-lft-identity_binary64_5239`
18×	`pow1_binary64_5300` `add-exp-log_binary64_5277`
11×	`add-cbrt-cube_binary64_5275` `associate-l_binary64_5180`
10×	`cbrt-prod_binary64_5270`
9×	`add-cube-cbrt_binary64_5274` `prod-exp_binary64_5288` `cbrt-unprod_binary64_5272` `pow-prod-down_binary64_5310`
8×	`times-frac_binary64_5245`
7×	`associate-r_binary64_5179`
6×	`associate-*l/_binary64_5182`
4×	`difference-of-squares_binary64_5208` `distribute-lft-out--_binary64_5191` `add-log-exp_binary64_5278`
3×	`associate-*r/_binary64_5181`
2×	`frac-sub_binary64_5248` `unswap-sqr_binary64_5207` `flip--_binary64_5214` `flip3--_binary64_5243` `*-commutative_binary64_5170` `pow1/3_binary64_5321`

Counts

4 → 79

Calls

4 calls:

35.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))) (cbrt.f64 x)))
33.0ms	(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series732.0ms (9.2%)

Counts

4 → 12

Calls

4 calls:

235.0ms	(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))) (cbrt.f64 x))
195.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))) (cbrt.f64 x)))
157.0ms	(cbrt.f64 x)
144.0ms	(cbrt.f64 x)

simplify73.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4930	1464
1	4930	1464

prune153.0ms (1.9%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	1	10	11
Picked	0	1	1
Done	0	2	2
Total	91	14	105

Merged error: 0.9b

Counts

105 → 14

Compiler

Compiled 3635 to 1977 computations (45.6% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.5b	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
5.8b	(cbrt.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))
5.8b	(cbrt.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))
5.8b	(cbrt.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))

rewrite138.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`add-sqr-sqrt_binary64_5261`
55×	`*-un-lft-identity_binary64_5239`
48×	`cancel-sign-sub-inv_binary64_5205`
44×	`times-frac_binary64_5245`
26×	`add-cube-cbrt_binary64_5274`
25×	`distribute-rgt-in_binary64_5189` `distribute-lft-in_binary64_5188`
16×	`difference-of-squares_binary64_5208`
12×	`associate-*r/_binary64_5181`
10×	`associate-r_binary64_5179` `distribute-lft-out--_binary64_5191`
9×	`cbrt-div_binary64_5271`
6×	`add-cbrt-cube_binary64_5275` `flip--_binary64_5214` `pow1_binary64_5300` `flip3--_binary64_5243` `add-exp-log_binary64_5277`
4×	`frac-sub_binary64_5248` `associate-/r/_binary64_5185` `add-log-exp_binary64_5278`
3×	`cbrt-prod_binary64_5270` `pow1/3_binary64_5321` `associate-l_binary64_5180`
2×	`sub-neg_binary64_5232` `div-inv_binary64_5236`
1×	`unswap-sqr_binary64_5207` `prod-exp_binary64_5288` `*-commutative_binary64_5170` `cbrt-unprod_binary64_5272` `pow-prod-down_binary64_5310`

Counts

4 → 114

Calls

4 calls:

36.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
28.0ms	(cbrt.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))
27.0ms	(cbrt.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))
26.0ms	(cbrt.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))

series1.5s (19.4%)

Counts

4 → 12

Calls

4 calls:

477.0ms	(cbrt.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))
472.0ms	(cbrt.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))
459.0ms	(cbrt.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))
137.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

simplify76.0ms (1%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5038	2923

prune258.0ms (3.2%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	10	10
Picked	0	1	1
Done	0	3	3
Total	126	14	140

Merged error: 0.9b

Counts

140 → 14

Compiler

Compiled 6147 to 3320 computations (46% saved)

regimes239.0ms (3%)

Compiler: Compiled 2767 to 1958 computations (29.2% saved)

bsearch1.0ms (0%)

Compiler: Compiled 9 to 9 computations (0% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	63	59
1	63	59

end0.0ms (0%)

sample1.0s (12.9%)

Algorithm

1×

intervals

Results

304.0ms	8000×	body	128	valid
67.0ms	1679×	body	128	invalid

Compiler

Compiled 527 to 366 computations (30.6% saved)

Details

analyze678.0ms (8.5%)

sample22.0ms (0.3%)

simplify418.0ms (5.3%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite77.0ms (1%)

series232.0ms (2.9%)

simplify67.0ms (0.8%)

prune313.0ms (3.9%)

localize12.0ms (0.1%)

rewrite152.0ms (1.9%)

series1.3s (16.6%)

simplify63.0ms (0.8%)

prune250.0ms (3.1%)

localize11.0ms (0.1%)

rewrite78.0ms (1%)

series732.0ms (9.2%)

simplify73.0ms (0.9%)

prune153.0ms (1.9%)

localize13.0ms (0.2%)

rewrite138.0ms (1.7%)

series1.5s (19.4%)

simplify76.0ms (1%)

prune258.0ms (3.2%)

regimes239.0ms (3%)

bsearch1.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.0s (12.9%)

Profiling