Details

analyze857.0ms (14.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	74.8%	25.2%	5
0%	74.8%	25.2%	6
0%	74.8%	25.2%	7
0%	74.8%	25.2%	8
0%	74.8%	25.2%	9
0%	62.3%	37.7%	10
0%	56.1%	43.9%	11
0%	56.1%	43.9%	12
1.6%	54.5%	43.9%	13
2.4%	53.7%	43.9%	14

Compiler

Compiled 17 to 16 computations (5.9% saved)

sample34.0ms (0.6%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
2.0ms	49×	body	128	nan
2.0ms	34×	body	128	invalid

Compiler

Compiled 33 to 37 computations (-12.1% saved)

simplify541.0ms (9.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (441.0ms)

Iter	Nodes	Cost
0	3701	24
1	3701	24

prune3.0ms (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

Error

0.1b

Counts

2 → 1

Compiler

Compiled 32 to 30 computations (6.3% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 a 1/2) b)
0.0b	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
0.1b	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
0.2b	(*.f64 z (log.f64 t))

rewrite40.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-log-exp_binary64_10347`
18×	`add-sqr-sqrt_binary64_10330`
14×	`*-un-lft-identity_binary64_10308`
12×	`log-prod_binary64_10394` `add-cube-cbrt_binary64_10343`
10×	`sum-log_binary64_10399`
9×	`pow1_binary64_10369`
8×	`associate-l_binary64_10249` `add-cbrt-cube_binary64_10344` `add-exp-log_binary64_10346`
7×	`associate-r_binary64_10248`
6×	`distribute-lft-in_binary64_10257` `distribute-rgt-in_binary64_10258` `flip--_binary64_10283` `flip3--_binary64_10312` `associate-*l/_binary64_10251` `associate--r+_binary64_10244` `diff-log_binary64_10400`
4×	`frac-add_binary64_10316`
3×	`associate-+l+_binary64_10241`
2×	`cbrt-unprod_binary64_10341` `prod-exp_binary64_10357` `sub-neg_binary64_10301` `pow-prod-down_binary64_10379` `*-commutative_binary64_10239` `unswap-sqr_binary64_10276` `associate--l+_binary64_10245` `cancel-sign-sub-inv_binary64_10274`
1×	`log-pow_binary64_10397` `flip-+_binary64_10282` `+-commutative_binary64_10238` `flip3-+_binary64_10311` `distribute-lft-out--_binary64_10260` `associate-+l-_binary64_10243` `difference-of-squares_binary64_10277`

Counts

4 → 90

Calls

4 calls:

12.0ms	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
9.0ms	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
6.0ms	(*.f64 (-.f64 a 1/2) b)
5.0ms	(*.f64 z (log.f64 t))

series234.0ms (4%)

Counts

4 → 12

Calls

4 calls:

141.0ms	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
42.0ms	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
31.0ms	(*.f64 z (log.f64 t))
19.0ms	(*.f64 (-.f64 a 1/2) b)

simplify52.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5435	1987

prune112.0ms (1.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	93	9	102
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	93	10	103

Error

0.0b

Counts

103 → 10

Compiler

Compiled 2576 to 964 computations (62.6% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 a 1/2) b)
0.0b	(-.f64 (.f64 z (log.f64 t)) (.f64 (-.f64 a 1/2) b))
0.1b	(-.f64 (+.f64 (+.f64 x y) z) (-.f64 (.f64 z (log.f64 t)) (.f64 (-.f64 a 1/2) b)))
0.2b	(*.f64 z (log.f64 t))

rewrite40.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-log-exp_binary64_10347`
26×	`*-un-lft-identity_binary64_10308`
23×	`add-sqr-sqrt_binary64_10330`
18×	`log-prod_binary64_10394`
15×	`add-cube-cbrt_binary64_10343`
13×	`associate--l+_binary64_10245`
10×	`diff-log_binary64_10400`
9×	`distribute-lft-in_binary64_10257` `distribute-rgt-in_binary64_10258` `pow1_binary64_10369`
8×	`associate-l_binary64_10249` `add-cbrt-cube_binary64_10344` `add-exp-log_binary64_10346` `associate--r+_binary64_10244`
7×	`associate-r_binary64_10248`
6×	`sum-log_binary64_10399`
5×	`flip--_binary64_10283` `flip3--_binary64_10312` `cancel-sign-sub-inv_binary64_10274`
4×	`frac-sub_binary64_10317` `distribute-lft-out--_binary64_10260`
3×	`sub-neg_binary64_10301` `distribute-lft-out_binary64_10259`
2×	`cbrt-unprod_binary64_10341` `prod-exp_binary64_10357` `flip-+_binary64_10282` `associate-l/_binary64_10251` `pow-prod-down_binary64_10379` `flip3-+_binary64_10311` `-commutative_binary64_10239` `unswap-sqr_binary64_10276` `difference-of-squares_binary64_10277`
1×	`associate--r-_binary64_10247` `log-pow_binary64_10397`

Counts

4 → 102

Calls

4 calls:

14.0ms	(-.f64 (+.f64 (+.f64 x y) z) (-.f64 (.f64 z (log.f64 t)) (.f64 (-.f64 a 1/2) b)))
6.0ms	(*.f64 (-.f64 a 1/2) b)
6.0ms	(-.f64 (.f64 z (log.f64 t)) (.f64 (-.f64 a 1/2) b))
5.0ms	(*.f64 z (log.f64 t))

series255.0ms (4.4%)

Counts

4 → 12

Calls

4 calls:

147.0ms	(-.f64 (+.f64 (+.f64 x y) z) (-.f64 (.f64 z (log.f64 t)) (.f64 (-.f64 a 1/2) b)))
59.0ms	(-.f64 (.f64 z (log.f64 t)) (.f64 (-.f64 a 1/2) b))
28.0ms	(*.f64 z (log.f64 t))
20.0ms	(*.f64 (-.f64 a 1/2) b)

simplify50.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5231	2323

prune114.0ms (2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	114	10	124

Error

0.0b

Counts

124 → 10

Compiler

Compiled 2852 to 1153 computations (59.6% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 z (log.f64 (cbrt.f64 t)))
0.3b	(+.f64 (.f64 z (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 z (log.f64 (cbrt.f64 t))))
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)

rewrite29.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`log-prod_binary64_10394`
36×	`distribute-lft-in_binary64_10257` `distribute-rgt-in_binary64_10258`
30×	`cbrt-prod_binary64_10339`
26×	`add-sqr-sqrt_binary64_10330`
24×	`add-cube-cbrt_binary64_10343` `*-un-lft-identity_binary64_10308` `associate-+l+_binary64_10241`
12×	`associate-+r+_binary64_10240`
7×	`pow1_binary64_10369`
6×	`add-log-exp_binary64_10347` `add-cbrt-cube_binary64_10344` `add-exp-log_binary64_10346`
5×	`associate-r_binary64_10248`
3×	`pow1/3_binary64_10390` `associate-l_binary64_10249`
2×	`log-pow_binary64_10397`
1×	`cbrt-unprod_binary64_10341` `sum-log_binary64_10399` `prod-exp_binary64_10357` `flip-+_binary64_10282` `+-commutative_binary64_10238` `distribute-lft-out_binary64_10259` `pow-prod-down_binary64_10379` `flip3-+_binary64_10311` `*-commutative_binary64_10239` `unswap-sqr_binary64_10276`

Counts

4 → 102

Calls

4 calls:

11.0ms	(+.f64 (.f64 z (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 z (log.f64 (cbrt.f64 t))))
5.0ms	(*.f64 z (log.f64 (cbrt.f64 t)))
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

series322.0ms (5.5%)

Counts

4 → 12

Calls

4 calls:

86.0ms	(cbrt.f64 t)
85.0ms	(cbrt.f64 t)
80.0ms	(+.f64 (.f64 z (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 z (log.f64 (cbrt.f64 t))))
70.0ms	(*.f64 z (log.f64 (cbrt.f64 t)))

simplify99.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5074	1278

prune141.0ms (2.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	112	2	114
Fresh	2	5	7
Picked	1	0	1
Done	1	1	2
Total	116	8	124

Error

0.0b

Counts

124 → 8

Compiler

Compiled 3397 to 1462 computations (57% saved)

localize22.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 z (log.f64 (pow.f64 t 1/3)))
0.3b	(+.f64 (.f64 z (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 z (log.f64 (pow.f64 t 1/3))))
0.6b	(cbrt.f64 t)
5.2b	(pow.f64 t 1/3)

rewrite32.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`log-prod_binary64_10394`
38×	`distribute-lft-in_binary64_10257` `distribute-rgt-in_binary64_10258`
27×	`add-sqr-sqrt_binary64_10330`
25×	`add-cube-cbrt_binary64_10343` `*-un-lft-identity_binary64_10308`
24×	`associate-+l+_binary64_10241`
15×	`cbrt-prod_binary64_10339` `unpow-prod-down_binary64_10387`
14×	`associate-+r+_binary64_10240`
7×	`pow1_binary64_10369` `add-exp-log_binary64_10346`
6×	`add-log-exp_binary64_10347` `add-cbrt-cube_binary64_10344`
5×	`sqr-pow_binary64_10280`
4×	`associate-r_binary64_10248`
3×	`pow-unpow_binary64_10385` `associate-l_binary64_10249`
1×	`pow-pow_binary64_10380` `cbrt-unprod_binary64_10341` `sum-log_binary64_10399` `prod-exp_binary64_10357` `unpow1/3_binary64_10375` `pow1/3_binary64_10390` `log-pow_binary64_10397` `flip-+_binary64_10282` `pow-to-exp_binary64_10377` `+-commutative_binary64_10238` `distribute-lft-out_binary64_10259` `pow-prod-down_binary64_10379` `flip3-+_binary64_10311` `pow-exp_binary64_10376` `*-commutative_binary64_10239` `unswap-sqr_binary64_10276`

Counts

4 → 112

Calls

4 calls:

11.0ms	(+.f64 (.f64 z (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 z (log.f64 (pow.f64 t 1/3))))
5.0ms	(*.f64 z (log.f64 (pow.f64 t 1/3)))
2.0ms	(pow.f64 t 1/3)
1.0ms	(cbrt.f64 t)

series336.0ms (5.8%)

Counts

4 → 12

Calls

4 calls:

108.0ms	(+.f64 (.f64 z (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 z (log.f64 (pow.f64 t 1/3))))
84.0ms	(pow.f64 t 1/3)
81.0ms	(cbrt.f64 t)
63.0ms	(*.f64 z (log.f64 (pow.f64 t 1/3)))

simplify83.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4984	1203
1	4984	1203

prune140.0ms (2.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	125	7	132

Error

0.0b

Counts

132 → 7

Compiler

Compiled 3470 to 1583 computations (54.4% saved)

regimes557.0ms (9.6%)

Accuracy

Total 0.1b remaining (88.7%)

Threshold costs 0.1b (88.7%)

Compiler

Compiled 6606 to 5514 computations (16.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	24
1	55	24

end0.0ms (0%)

sample1.7s (28.9%)

Algorithm

1×

intervals

Results

680.0ms	7998×	body	128	valid
75.0ms	1206×	body	128	invalid
57.0ms	1127×	body	128	nan
0.0ms	1×	body	2048	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 599 to 502 computations (16.2% saved)

Details

analyze857.0ms (14.7%)

sample34.0ms (0.6%)

simplify541.0ms (9.3%)

prune3.0ms (0%)

localize12.0ms (0.2%)

rewrite40.0ms (0.7%)

series234.0ms (4%)

simplify52.0ms (0.9%)

prune112.0ms (1.9%)

localize12.0ms (0.2%)

rewrite40.0ms (0.7%)

series255.0ms (4.4%)

simplify50.0ms (0.9%)

prune114.0ms (2%)

localize17.0ms (0.3%)

rewrite29.0ms (0.5%)

series322.0ms (5.5%)

simplify99.0ms (1.7%)

prune141.0ms (2.4%)

localize22.0ms (0.4%)

rewrite32.0ms (0.6%)

series336.0ms (5.8%)

simplify83.0ms (1.4%)

prune140.0ms (2.4%)

regimes557.0ms (9.6%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.7s (28.9%)

Profiling