Details

analyze572.0ms (4.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4905	64
1	4905	64
0	3	3
1	3	3

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
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
35.9%	55.4%	8.7%	10
42.9%	47.6%	9.5%	11
51.5%	38.2%	10.3%	12
55%	30%	15%	13
59.5%	25.3%	15.3%	14

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample24.0ms (0.2%)

Algorithm

1×

intervals

Results

9.0ms	228×	body	128	valid
1.0ms	10×	body	1024	valid
1.0ms	12×	body	512	valid
1.0ms	20×	body	128	invalid
0.0ms	6×	body	256	valid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify228.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (222.0ms)

Iter	Nodes	Cost
0	2426	16
1	2426	16

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

0.4b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 y x) 6)
0.0b	(-.f64 2/3 z)
0.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
0.4b	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))

rewrite36.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_6238`
18×	`*-un-lft-identity_binary64_6216`
15×	`cancel-sign-sub-inv_binary64_6182`
12×	`add-cube-cbrt_binary64_6251`
11×	`add-cbrt-cube_binary64_6252` `pow1_binary64_6277` `add-exp-log_binary64_6254`
10×	`associate-*l/_binary64_6159`
8×	`associate-r_binary64_6156` `associate-+r+_binary64_6148` `flip3--_binary64_6220` `distribute-rgt-in_binary64_6166` `distribute-lft-in_binary64_6165` `flip--_binary64_6191` `add-log-exp_binary64_6255`
6×	`associate-l_binary64_6157`
5×	`sub-neg_binary64_6209`
4×	`prod-exp_binary64_6265` `pow-prod-down_binary64_6287` `frac-times_binary64_6226` `cbrt-unprod_binary64_6249`
3×	`difference-of-squares_binary64_6185` `distribute-lft-out--_binary64_6168`
2×	`associate-r/_binary64_6158` `-commutative_binary64_6147`
1×	`unswap-sqr_binary64_6184` `flip-+_binary64_6190` `diff-log_binary64_6308` `+-commutative_binary64_6146` `flip3-+_binary64_6219` `sum-log_binary64_6307`

Counts

4 → 93

Calls

4 calls:

13.0ms	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))
7.0ms	(*.f64 (-.f64 y x) 6)
5.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
4.0ms	(-.f64 2/3 z)

series122.0ms (1%)

Counts

4 → 12

Calls

4 calls:

52.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
36.0ms	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))
22.0ms	(*.f64 (-.f64 y x) 6)
12.0ms	(-.f64 2/3 z)

simplify74.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5014	1467

prune109.0ms (0.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	95	10	105
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	95	11	106

Error

0.1b

Counts

106 → 11

Compiler

Compiled 1938 to 1137 computations (41.3% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 6 (-.f64 2/3 z))
0.0b	(-.f64 2/3 z)
0.0b	(+.f64 x (.f64 (-.f64 y x) (.f64 6 (-.f64 2/3 z))))
0.1b	(.f64 (-.f64 y x) (.f64 6 (-.f64 2/3 z)))

rewrite44.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`distribute-rgt-in_binary64_6166` `distribute-lft-in_binary64_6165`
33×	`cancel-sign-sub-inv_binary64_6182`
26×	`add-sqr-sqrt_binary64_6238`
24×	`*-un-lft-identity_binary64_6216`
18×	`add-cube-cbrt_binary64_6251`
16×	`associate-+r+_binary64_6148`
11×	`sub-neg_binary64_6209` `add-cbrt-cube_binary64_6252` `pow1_binary64_6277` `add-exp-log_binary64_6254`
10×	`associate-*r/_binary64_6158`
8×	`flip3--_binary64_6220` `associate-l_binary64_6157` `flip--_binary64_6191` `add-log-exp_binary64_6255`
6×	`associate-r_binary64_6156`
4×	`prod-exp_binary64_6265` `pow-prod-down_binary64_6287` `frac-times_binary64_6226` `cbrt-unprod_binary64_6249`
3×	`difference-of-squares_binary64_6185` `distribute-lft-out--_binary64_6168`
2×	`associate-l/_binary64_6159` `-commutative_binary64_6147`
1×	`unswap-sqr_binary64_6184` `flip-+_binary64_6190` `diff-log_binary64_6308` `+-commutative_binary64_6146` `flip3-+_binary64_6219` `sum-log_binary64_6307`

Counts

4 → 117

Calls

4 calls:

13.0ms	(.f64 (-.f64 y x) (.f64 6 (-.f64 2/3 z)))
11.0ms	(*.f64 6 (-.f64 2/3 z))
6.0ms	(+.f64 x (.f64 (-.f64 y x) (.f64 6 (-.f64 2/3 z))))
4.0ms	(-.f64 2/3 z)

series120.0ms (1%)

Counts

4 → 12

Calls

4 calls:

48.0ms	(+.f64 x (.f64 (-.f64 y x) (.f64 6 (-.f64 2/3 z))))
36.0ms	(.f64 (-.f64 y x) (.f64 6 (-.f64 2/3 z)))
24.0ms	(*.f64 6 (-.f64 2/3 z))
12.0ms	(-.f64 2/3 z)

simplify48.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5407	1715

prune116.0ms (1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	129	11	140

Error

0.0b

Counts

140 → 11

Compiler

Compiled 2289 to 1313 computations (42.6% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))) (cbrt.f64 (+.f64 x (.f64 (*.f64 (-.f64 y x) 6) (-.f64 2/3 z)))))
0.6b	(cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))))
0.6b	(cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))))
0.6b	(cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))))

rewrite32.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_6247`
23×	`add-sqr-sqrt_binary64_6238`
18×	`cbrt-div_binary64_6248`
15×	`*-un-lft-identity_binary64_6216` `add-cube-cbrt_binary64_6251`
11×	`pow1_binary64_6277`
9×	`pow1/3_binary64_6298` `flip-+_binary64_6190` `flip3-+_binary64_6219`
6×	`associate-r_binary64_6156` `swap-sqr_binary64_6183` `associate-l_binary64_6157` `add-exp-log_binary64_6254`
4×	`unswap-sqr_binary64_6184` `frac-times_binary64_6226` `add-cbrt-cube_binary64_6252` `add-log-exp_binary64_6255`
2×	`associate-l/_binary64_6159` `pow-prod-down_binary64_6287` `pow-sqr_binary64_6189` `associate-r/_binary64_6158` `pow-prod-up_binary64_6286`
1×	`pow-plus_binary64_6279` `prod-exp_binary64_6265` `pow2_binary64_6297` `cbrt-unprod_binary64_6249` `*-commutative_binary64_6147`

Counts

4 → 87

Calls

4 calls:

11.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))) (cbrt.f64 (+.f64 x (.f64 (*.f64 (-.f64 y x) 6) (-.f64 2/3 z)))))
3.0ms	(cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))))
3.0ms	(cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))))
3.0ms	(cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))))

series2.8s (22.9%)

Counts

4 → 12

Calls

4 calls:

1.3s	(.f64 (cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))) (cbrt.f64 (+.f64 x (.f64 (*.f64 (-.f64 y x) 6) (-.f64 2/3 z)))))
509.0ms	(cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))))
508.0ms	(cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))))
500.0ms	(cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))))

simplify75.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4950	3463
1	4950	3463

prune247.0ms (2%)

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	93	6	99
Fresh	1	7	8
Picked	0	1	1
Done	0	2	2
Total	94	16	110

Error

0.0b

Counts

110 → 16

Compiler

Compiled 5247 to 3350 computations (36.2% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))))) 6))
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))))
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))))
1.2b	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))))) 6)

rewrite34.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`cbrt-prod_binary64_6247`
18×	`unpow-prod-down_binary64_6295`
16×	`*-un-lft-identity_binary64_6216` `add-cube-cbrt_binary64_6251` `add-sqr-sqrt_binary64_6238`
8×	`cbrt-div_binary64_6248`
5×	`pow1_binary64_6277` `add-exp-log_binary64_6254`
4×	`pow1/3_binary64_6298` `add-cbrt-cube_binary64_6252` `add-log-exp_binary64_6255`
3×	`pow-unpow_binary64_6293`
2×	`sqr-pow_binary64_6188` `flip-+_binary64_6190` `pow-pow_binary64_6288` `flip3-+_binary64_6219`
1×	`pow-to-exp_binary64_6285` `pow-exp_binary64_6284`

Counts

4 → 77

Calls

4 calls:

6.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))))) 6)
6.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))))) 6))
4.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))))
4.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))))

series4.9s (40.3%)

Counts

4 → 12

Calls

4 calls:

2.6s	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))))) 6)
1.2s	(cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))))) 6))
513.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))))
510.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))))

simplify77.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5081	3074

prune293.0ms (2.4%)

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	12	12
Picked	0	1	1
Done	0	3	3
Total	89	16	105

Error

0.0b

Counts

105 → 16

Compiler

Compiled 5945 to 3933 computations (33.8% saved)

regimes486.0ms (4%)

Accuracy

Total 0.2b remaining (90%)

Threshold costs 0.2b (90%)

Compiler

Compiled 6892 to 5151 computations (25.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	16
1	32	16

end0.0ms (0%)

sample1.7s (13.7%)

Algorithm

1×

intervals

Results

297.0ms	7359×	body	128	valid
33.0ms	242×	body	1024	valid
26.0ms	256×	body	512	valid
25.0ms	566×	body	128	invalid
10.0ms	143×	body	256	valid

Compiler

Compiled 1395 to 1045 computations (25.1% saved)

Details

analyze572.0ms (4.7%)

sample24.0ms (0.2%)

simplify228.0ms (1.9%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite36.0ms (0.3%)

series122.0ms (1%)

simplify74.0ms (0.6%)

prune109.0ms (0.9%)

localize8.0ms (0.1%)

rewrite44.0ms (0.4%)

series120.0ms (1%)

simplify48.0ms (0.4%)

prune116.0ms (1%)

localize14.0ms (0.1%)

rewrite32.0ms (0.3%)

series2.8s (22.9%)

simplify75.0ms (0.6%)

prune247.0ms (2%)

localize25.0ms (0.2%)

rewrite34.0ms (0.3%)

series4.9s (40.3%)

simplify77.0ms (0.6%)

prune293.0ms (2.4%)

regimes486.0ms (4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.7s (13.7%)

Profiling