Details

analyze855.0ms (16.9%)

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
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
6.2%	82.7%	11.1%	10
12.5%	73.7%	13.8%	11
15.6%	59.5%	25%	12
17.9%	53.3%	28.8%	13
22.4%	47.2%	30.4%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample27.0ms (0.5%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
4.0ms	82×	body	128	invalid

Compiler

Compiled 27 to 27 computations (0% saved)

simplify149.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	704	19
1	704	19

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: 5.6b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (*.f64 z z) t)
0.0b	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
5.2b	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

rewrite43.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`cancel-sign-sub-inv_binary64_13343`
11×	`add-sqr-sqrt_binary64_13399`
9×	`add-cube-cbrt_binary64_13412` `*-un-lft-identity_binary64_13377`
8×	`associate--r+_binary64_13313` `distribute-rgt-in_binary64_13327` `distribute-lft-in_binary64_13326` `pow1_binary64_13438` `add-exp-log_binary64_13415` `add-cbrt-cube_binary64_13413`
7×	`add-log-exp_binary64_13416`
6×	`sub-neg_binary64_13370`
4×	`associate-r_binary64_13317`
3×	`prod-exp_binary64_13426` `cbrt-unprod_binary64_13410` `pow-prod-down_binary64_13448` `flip3--_binary64_13381` `flip--_binary64_13352`
2×	`diff-log_binary64_13469` `difference-of-squares_binary64_13346` `associate-*r/_binary64_13319`
1×	`-commutative_binary64_13308` `associate-l*_binary64_13318`

Counts

3 → 64

Calls

3 calls:

20.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
10.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
8.0ms	(-.f64 (*.f64 z z) t)

series168.0ms (3.3%)

Counts

3 → 9

Calls

3 calls:

88.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
60.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
20.0ms	(-.f64 (*.f64 z z) t)

simplify95.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4904	1145
1	4904	1145

prune87.0ms (1.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	65	8	73
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	8	74

Merged error: 1.5b

Counts

74 → 8

Compiler

Compiled 1505 to 645 computations (57.1% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 y 4) (.f64 z z)) (.f64 y (*.f64 t -4)))
0.0b	(-.f64 (.f64 x x) (+.f64 (.f64 (.f64 y 4) (.f64 z z)) (.f64 y (.f64 t -4))))
7.2b	(.f64 (.f64 y 4) (*.f64 z z))

rewrite40.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`pow1_binary64_13438` `add-exp-log_binary64_13415` `add-cbrt-cube_binary64_13413`
10×	`add-log-exp_binary64_13416`
8×	`prod-exp_binary64_13426` `cbrt-unprod_binary64_13410` `pow-prod-down_binary64_13448`
5×	`add-sqr-sqrt_binary64_13399`
4×	`add-cube-cbrt_binary64_13412` `*-un-lft-identity_binary64_13377`
3×	`cancel-sign-sub-inv_binary64_13343`
2×	`diff-log_binary64_13469` `sum-log_binary64_13468`
1×	`associate--r+_binary64_13313` `+-commutative_binary64_13307` `associate-r_binary64_13317` `difference-of-squares_binary64_13346` `-commutative_binary64_13308` `flip3--_binary64_13381` `flip--_binary64_13352` `associate-l*_binary64_13318` `flip-+_binary64_13351` `sub-neg_binary64_13370` `flip3-+_binary64_13380`

Counts

3 → 50

Calls

3 calls:

17.0ms	(+.f64 (.f64 (.f64 y 4) (.f64 z z)) (.f64 y (*.f64 t -4)))
11.0ms	(-.f64 (.f64 x x) (+.f64 (.f64 (.f64 y 4) (.f64 z z)) (.f64 y (.f64 t -4))))
7.0ms	(.f64 (.f64 y 4) (*.f64 z z))

series181.0ms (3.6%)

Counts

3 → 9

Calls

3 calls:

79.0ms	(+.f64 (.f64 (.f64 y 4) (.f64 z z)) (.f64 y (*.f64 t -4)))
71.0ms	(-.f64 (.f64 x x) (+.f64 (.f64 (.f64 y 4) (.f64 z z)) (.f64 y (.f64 t -4))))
31.0ms	(.f64 (.f64 y 4) (*.f64 z z))

simplify103.0ms (2%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	5827	1003

prune70.0ms (1.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	61	6	67

Merged error: 0.0b

Counts

67 → 6

Compiler

Compiled 1298 to 641 computations (50.6% saved)

localize22.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x x) (+.f64 (.f64 (.f64 (.f64 y 4) z) z) (.f64 y (.f64 t -4))))
0.0b	(+.f64 (.f64 (.f64 (.f64 y 4) z) z) (.f64 y (*.f64 t -4)))
0.2b	(.f64 (.f64 (*.f64 y 4) z) z)

rewrite29.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`pow1_binary64_13438` `add-exp-log_binary64_13415` `add-cbrt-cube_binary64_13413`
10×	`add-log-exp_binary64_13416`
6×	`prod-exp_binary64_13426` `cbrt-unprod_binary64_13410` `add-sqr-sqrt_binary64_13399` `pow-prod-down_binary64_13448`
5×	`add-cube-cbrt_binary64_13412` `*-un-lft-identity_binary64_13377`
3×	`associate-r_binary64_13317` `cancel-sign-sub-inv_binary64_13343`
2×	`diff-log_binary64_13469` `sum-log_binary64_13468`
1×	`associate--r+_binary64_13313` `+-commutative_binary64_13307` `difference-of-squares_binary64_13346` `-commutative_binary64_13308` `flip3--_binary64_13381` `flip--_binary64_13352` `associate-l*_binary64_13318` `flip-+_binary64_13351` `sub-neg_binary64_13370` `flip3-+_binary64_13380`

Counts

3 → 49

Calls

3 calls:

10.0ms	(-.f64 (.f64 x x) (+.f64 (.f64 (.f64 (.f64 y 4) z) z) (.f64 y (.f64 t -4))))
8.0ms	(.f64 (.f64 (*.f64 y 4) z) z)
7.0ms	(+.f64 (.f64 (.f64 (.f64 y 4) z) z) (.f64 y (*.f64 t -4)))

series199.0ms (3.9%)

Counts

3 → 9

Calls

3 calls:

78.0ms	(-.f64 (.f64 x x) (+.f64 (.f64 (.f64 (.f64 y 4) z) z) (.f64 y (.f64 t -4))))
76.0ms	(+.f64 (.f64 (.f64 (.f64 y 4) z) z) (.f64 y (*.f64 t -4)))
45.0ms	(.f64 (.f64 (*.f64 y 4) z) z)

simplify91.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5741	1004

prune72.0ms (1.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	56	2	58
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	56	8	64

Merged error: 0.0b

Counts

64 → 8

Compiler

Compiled 1335 to 689 computations (48.4% saved)

localize30.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite34.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_13408`
23×	`add-sqr-sqrt_binary64_13399`
15×	`add-cube-cbrt_binary64_13412` `*-un-lft-identity_binary64_13377`
11×	`pow1_binary64_13438`
9×	`pow1/3_binary64_13459`
6×	`swap-sqr_binary64_13344` `associate-r_binary64_13317` `add-exp-log_binary64_13415` `associate-l_binary64_13318`
4×	`unswap-sqr_binary64_13345` `add-log-exp_binary64_13416` `add-cbrt-cube_binary64_13413`
2×	`pow-prod-down_binary64_13448` `pow-sqr_binary64_13350` `pow-prod-up_binary64_13447`
1×	`prod-exp_binary64_13426` `cbrt-unprod_binary64_13410` `pow-plus_binary64_13440` `*-commutative_binary64_13308` `pow2_binary64_13458`

Counts

4 → 73

Calls

4 calls:

12.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
2.0ms	(cbrt.f64 z)
2.0ms	(cbrt.f64 z)
2.0ms	(cbrt.f64 z)

series414.0ms (8.2%)

Counts

4 → 12

Calls

4 calls:

126.0ms	(cbrt.f64 z)
107.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
95.0ms	(cbrt.f64 z)
85.0ms	(cbrt.f64 z)

simplify92.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4892	563
1	4892	563

prune117.0ms (2.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	85	8	93

Merged error: 0.0b

Counts

93 → 8

Compiler

Compiled 2264 to 1084 computations (52.1% saved)

regimes603.0ms (11.9%)

Compiler: Compiled 5830 to 4300 computations (26.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	115	25
1	115	25

end0.0ms (0%)

sample1.5s (29.8%)

Algorithm

1×

intervals

Results

405.0ms	8000×	body	128	valid
154.0ms	3057×	body	128	invalid

Compiler

Compiled 533 to 395 computations (25.9% saved)

Details

analyze855.0ms (16.9%)

sample27.0ms (0.5%)

simplify149.0ms (2.9%)

prune2.0ms (0%)

localize10.0ms (0.2%)

rewrite43.0ms (0.8%)

series168.0ms (3.3%)

simplify95.0ms (1.9%)

prune87.0ms (1.7%)

localize11.0ms (0.2%)

rewrite40.0ms (0.8%)

series181.0ms (3.6%)

simplify103.0ms (2%)

prune70.0ms (1.4%)

localize22.0ms (0.4%)

rewrite29.0ms (0.6%)

series199.0ms (3.9%)

simplify91.0ms (1.8%)

prune72.0ms (1.4%)

localize30.0ms (0.6%)

rewrite34.0ms (0.7%)

series414.0ms (8.2%)

simplify92.0ms (1.8%)

prune117.0ms (2.3%)

regimes603.0ms (11.9%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.5s (29.8%)

Profiling