Details

analyze1.2s (14.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4964	384
1	4964	384
0	6	6
1	6	6

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

Symmetry

(sort x y)

Compiler

Compiled 17 to 16 computations (5.9% saved)

sample50.0ms (0.6%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
2.0ms	46×	body	128	nan
2.0ms	37×	body	128	invalid

Compiler

Compiled 33 to 37 computations (-12.1% saved)

simplify452.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (447.0ms)

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 (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.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))

rewrite101.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

3 → 68

Calls

3 calls:

10.0ms	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
7.0ms	(*.f64 (-.f64 a 1/2) b)
5.0ms	(*.f64 z (log.f64 t))

Compiler

Compiled 1551 to 556 computations (64.2% saved)

series533.0ms (6.2%)

Error

0.0b

Counts

3 → 36

Calls

3 calls:

313.0ms	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
131.0ms	(*.f64 z (log.f64 t))
58.0ms	(*.f64 (-.f64 a 1/2) b)

Compiler

Compiled 1490 to 1105 computations (25.8% saved)

simplify71.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4968	1210
1	4968	1210

prune110.0ms (1.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	96	8	104
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	97	8	105

Error

0.0b

Counts

105 → 8

Compiler

Compiled 2196 to 815 computations (62.9% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.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)

rewrite156.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

48×	`log-prod_binary64_10394`
36×	`distribute-rgt-in_binary64_10258` `distribute-lft-in_binary64_10257`
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-exp-log_binary64_10346` `add-cbrt-cube_binary64_10344`
5×	`associate-r_binary64_10248`
3×	`pow1/3_binary64_10390` `associate-l_binary64_10249`
2×	`log-pow_binary64_10397`
1×	`sum-log_binary64_10399` `flip3-+_binary64_10311` `flip-+_binary64_10282` `distribute-lft-out_binary64_10259` `+-commutative_binary64_10238` `pow-prod-down_binary64_10379` `prod-exp_binary64_10357` `cbrt-unprod_binary64_10341` `unswap-sqr_binary64_10276` `*-commutative_binary64_10239`

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))))
6.0ms	(*.f64 z (log.f64 (cbrt.f64 t)))
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

Compiler

Compiled 3356 to 1297 computations (61.4% saved)

series745.0ms (8.6%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

298.0ms	(+.f64 (.f64 z (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 z (log.f64 (cbrt.f64 t))))
267.0ms	(*.f64 z (log.f64 (cbrt.f64 t)))
85.0ms	(cbrt.f64 t)
75.0ms	(cbrt.f64 t)

Compiler

Compiled 1368 to 1082 computations (20.9% saved)

simplify98.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5074	1320

prune146.0ms (1.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	121	7	128

Error

Counts

128 → 7

Compiler

Compiled 3510 to 1488 computations (57.6% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 z (+.f64 (.f64 (log.f64 t) 2/3) (log.f64 (cbrt.f64 (sqrt.f64 t)))))
0.4b	(*.f64 (log.f64 t) 2/3)
0.6b	(cbrt.f64 (sqrt.f64 t))
0.6b	(cbrt.f64 (sqrt.f64 t))

rewrite112.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`add-sqr-sqrt_binary64_10330`
12×	`add-cube-cbrt_binary64_10343` `cbrt-prod_binary64_10339` `*-un-lft-identity_binary64_10308`
9×	`pow1_binary64_10369`
8×	`add-exp-log_binary64_10346` `add-cbrt-cube_binary64_10344`
7×	`associate-l_binary64_10249`
6×	`sqrt-prod_binary64_10324` `associate-r_binary64_10248`
4×	`add-log-exp_binary64_10347`
2×	`pow1/3_binary64_10390` `pow-prod-down_binary64_10379` `prod-exp_binary64_10357` `cbrt-unprod_binary64_10341` `unswap-sqr_binary64_10276` `-commutative_binary64_10239` `associate-r/_binary64_10250`
1×	`log-pow_binary64_10397` `distribute-rgt-in_binary64_10258` `distribute-lft-in_binary64_10257` `flip3-+_binary64_10311` `flip-+_binary64_10282`

Counts

4 → 69

Calls

4 calls:

8.0ms	(.f64 z (+.f64 (.f64 (log.f64 t) 2/3) (log.f64 (cbrt.f64 (sqrt.f64 t)))))
5.0ms	(*.f64 (log.f64 t) 2/3)
2.0ms	(cbrt.f64 (sqrt.f64 t))
2.0ms	(cbrt.f64 (sqrt.f64 t))

Compiler

Compiled 2539 to 963 computations (62.1% saved)

series512.0ms (5.9%)

Error

Counts

4 → 15

Calls

4 calls:

320.0ms	(.f64 z (+.f64 (.f64 (log.f64 t) 2/3) (log.f64 (cbrt.f64 (sqrt.f64 t)))))
63.0ms	(*.f64 (log.f64 t) 2/3)
56.0ms	(cbrt.f64 (sqrt.f64 t))
53.0ms	(cbrt.f64 (sqrt.f64 t))

Compiler

Compiled 1442 to 1058 computations (26.6% saved)

simplify119.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	4778	992
1	4778	992

prune114.0ms (1.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	84	7	91

Error

Counts

91 → 7

Compiler

Compiled 2987 to 1194 computations (60% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (pow.f64 t 2/3))
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 (cbrt.f64 t))
6.0b	(pow.f64 t 2/3)

rewrite101.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`cbrt-prod_binary64_10339`
11×	`add-cube-cbrt_binary64_10343` `add-sqr-sqrt_binary64_10330` `*-un-lft-identity_binary64_10308`
6×	`unpow-prod-down_binary64_10387`
5×	`pow1_binary64_10369` `add-exp-log_binary64_10346`
4×	`add-log-exp_binary64_10347` `add-cbrt-cube_binary64_10344`
3×	`pow-unpow_binary64_10385` `pow1/3_binary64_10390`
2×	`sqr-pow_binary64_10280`
1×	`pow-pow_binary64_10380` `pow-to-exp_binary64_10377` `pow-exp_binary64_10376`

Counts

4 → 57

Calls

4 calls:

3.0ms	(pow.f64 t 2/3)
2.0ms	(cbrt.f64 (pow.f64 t 2/3))
2.0ms	(cbrt.f64 (cbrt.f64 t))
1.0ms	(cbrt.f64 t)

Compiler

Compiled 2059 to 1062 computations (48.4% saved)

series346.0ms (4%)

Error

Counts

4 → 12

Calls

4 calls:

96.0ms	(cbrt.f64 (cbrt.f64 t))
88.0ms	(cbrt.f64 (pow.f64 t 2/3))
74.0ms	(cbrt.f64 t)
72.0ms	(pow.f64 t 2/3)

Compiler

Compiled 1203 to 940 computations (21.9% saved)

simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5296	491

prune99.0ms (1.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	69	7	76

Error

Counts

76 → 7

Compiler

Compiled 2344 to 1153 computations (50.8% saved)

regimes1.4s (16.3%)

Accuracy

Total 0.1b remaining (94.8%)

Threshold costs 0.1b (94.8%)

Compiler

Compiled 14248 to 11635 computations (18.3% saved)

bsearch0.0ms (0%)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	73	27
1	73	27

Remove

(sort x y)

Compiler

Compiled 36 to 32 computations (11.1% saved)

end0.0ms (0%)

sample2.0s (23%)

Algorithm

1×

intervals

Results

496.0ms	7999×	body	128	valid
68.0ms	1170×	body	128	invalid
60.0ms	1176×	body	128	nan
0.0ms	1×	body	512	valid

Compiler

Compiled 1086 to 890 computations (18% saved)

Details

analyze1.2s (14.2%)

sample50.0ms (0.6%)

simplify452.0ms (5.2%)

prune3.0ms (0%)

localize12.0ms (0.1%)

rewrite101.0ms (1.2%)

series533.0ms (6.2%)

simplify71.0ms (0.8%)

prune110.0ms (1.3%)

localize20.0ms (0.2%)

rewrite156.0ms (1.8%)

series745.0ms (8.6%)

simplify98.0ms (1.1%)

prune146.0ms (1.7%)

localize22.0ms (0.3%)

rewrite112.0ms (1.3%)

series512.0ms (5.9%)

simplify119.0ms (1.4%)

prune114.0ms (1.3%)

localize27.0ms (0.3%)

rewrite101.0ms (1.2%)

series346.0ms (4%)

simplify55.0ms (0.6%)

prune99.0ms (1.2%)

regimes1.4s (16.3%)

bsearch0.0ms (0%)

simplify10.0ms (0.1%)

end0.0ms (0%)

sample2.0s (23%)

Profiling