Details

analyze2.2s (20.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

Compiler

Compiled 30 to 24 computations (20% saved)

sample94.0ms (0.9%)

Algorithm

1×

intervals

Results

29.0ms	372×	body	128	invalid
25.0ms	256×	body	128	valid

Compiler

Compiled 59 to 56 computations (5.1% saved)

simplify696.0ms (6.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (608.0ms)

Iter	Nodes	Cost
0	4635	43
1	4635	43

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

9.4b

Counts

2 → 1

Compiler

Compiled 58 to 46 computations (20.7% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(-.f64 (.f64 y z) (.f64 t a))
3.0b	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
3.8b	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
4.5b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))

rewrite32.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_23288`
10×	`add-cube-cbrt_binary64_23301` `pow1_binary64_23327` `add-exp-log_binary64_23304` `add-cbrt-cube_binary64_23302` `*-un-lft-identity_binary64_23266`
9×	`associate-l_binary64_23207` `associate-r_binary64_23206`
7×	`sub-neg_binary64_23259` `cancel-sign-sub-inv_binary64_23232`
6×	`distribute-rgt-in_binary64_23216` `associate-*r/_binary64_23208` `add-log-exp_binary64_23305` `distribute-lft-in_binary64_23215`
4×	`flip--_binary64_23241` `flip3--_binary64_23270`
3×	`*-commutative_binary64_23197` `pow-prod-down_binary64_23337` `cbrt-unprod_binary64_23299` `prod-exp_binary64_23315` `unswap-sqr_binary64_23234`
1×	`diff-log_binary64_23358`

Counts

4 → 84

Calls

4 calls:

7.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
7.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
7.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
4.0ms	(-.f64 (.f64 y z) (.f64 t a))

series284.0ms (2.7%)

Counts

4 → 12

Calls

4 calls:

88.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
79.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
77.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
40.0ms	(-.f64 (.f64 y z) (.f64 t a))

simplify75.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4944	1492
1	4944	1492

prune153.0ms (1.5%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	76	20	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	20	97

Error

6.3b

Counts

97 → 20

Compiler

Compiled 4146 to 902 computations (78.2% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

3.8b	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
6.3b	(cbrt.f64 (-.f64 (.f64 y z) (.f64 t a)))
6.3b	(cbrt.f64 (-.f64 (.f64 y z) (.f64 t a)))
6.3b	(cbrt.f64 (-.f64 (.f64 y z) (.f64 t a)))

rewrite26.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_23288`
9×	`cbrt-prod_binary64_23297` `add-cube-cbrt_binary64_23301` `*-un-lft-identity_binary64_23266`
6×	`cbrt-div_binary64_23298` `pow1_binary64_23327` `add-exp-log_binary64_23304` `add-cbrt-cube_binary64_23302`
4×	`flip--_binary64_23241` `flip3--_binary64_23270` `add-log-exp_binary64_23305`
3×	`pow1/3_binary64_23348` `associate-l_binary64_23207` `associate-r_binary64_23206`
2×	`sub-neg_binary64_23259` `distribute-rgt-in_binary64_23216` `associate-*r/_binary64_23208` `distribute-lft-in_binary64_23215` `cancel-sign-sub-inv_binary64_23232`
1×	`*-commutative_binary64_23197` `pow-prod-down_binary64_23337` `cbrt-unprod_binary64_23299` `prod-exp_binary64_23315` `unswap-sqr_binary64_23234`

Counts

4 → 63

Calls

4 calls:

7.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
4.0ms	(cbrt.f64 (-.f64 (.f64 y z) (.f64 t a)))
4.0ms	(cbrt.f64 (-.f64 (.f64 y z) (.f64 t a)))
4.0ms	(cbrt.f64 (-.f64 (.f64 y z) (.f64 t a)))

series516.0ms (4.9%)

Counts

4 → 12

Calls

4 calls:

147.0ms	(cbrt.f64 (-.f64 (.f64 y z) (.f64 t a)))
146.0ms	(cbrt.f64 (-.f64 (.f64 y z) (.f64 t a)))
141.0ms	(cbrt.f64 (-.f64 (.f64 y z) (.f64 t a)))
82.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))

simplify69.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5004	1393

prune127.0ms (1.2%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	0	19	19
Picked	1	0	1
Done	0	0	0
Total	75	20	95

Error

6.3b

Counts

95 → 20

Compiler

Compiled 4928 to 991 computations (79.9% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.0b	(.f64 (-.f64 (.f64 z c) (*.f64 t i)) (cbrt.f64 b))
2.2b	(.f64 (.f64 (cbrt.f64 b) (cbrt.f64 b)) (.f64 (-.f64 (.f64 z c) (*.f64 t i)) (cbrt.f64 b)))
3.0b	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
4.5b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))

rewrite48.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`pow1_binary64_23327` `add-exp-log_binary64_23304`
19×	`add-sqr-sqrt_binary64_23288`
15×	`add-cbrt-cube_binary64_23302`
13×	`associate-r_binary64_23206`
11×	`add-cube-cbrt_binary64_23301` `pow-prod-down_binary64_23337` `cbrt-unprod_binary64_23299` `prod-exp_binary64_23315` `*-un-lft-identity_binary64_23266`
10×	`associate-l_binary64_23207`
6×	`associate-*r/_binary64_23208`
4×	`sub-neg_binary64_23259` `cbrt-prod_binary64_23297` `-commutative_binary64_23197` `distribute-rgt-in_binary64_23216` `flip--_binary64_23241` `flip3--_binary64_23270` `unswap-sqr_binary64_23234` `add-log-exp_binary64_23305` `distribute-lft-in_binary64_23215` `cancel-sign-sub-inv_binary64_23232` `associate-l/_binary64_23209`

Counts

4 → 96

Calls

4 calls:

12.0ms	(.f64 (.f64 (cbrt.f64 b) (cbrt.f64 b)) (.f64 (-.f64 (.f64 z c) (*.f64 t i)) (cbrt.f64 b)))
7.0ms	(.f64 (-.f64 (.f64 z c) (*.f64 t i)) (cbrt.f64 b))
7.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
6.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))

series436.0ms (4.2%)

Counts

4 → 12

Calls

4 calls:

145.0ms	(.f64 (.f64 (cbrt.f64 b) (cbrt.f64 b)) (.f64 (-.f64 (.f64 z c) (*.f64 t i)) (cbrt.f64 b)))
142.0ms	(.f64 (-.f64 (.f64 z c) (*.f64 t i)) (cbrt.f64 b))
76.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
72.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))

simplify50.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5705	1747

prune149.0ms (1.4%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	103	5	108
Fresh	3	16	19
Picked	1	0	1
Done	0	0	0
Total	107	21	128

Error

6.3b

Counts

128 → 21

Compiler

Compiled 5182 to 1011 computations (80.5% saved)

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

4.5b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
5.3b	(cbrt.f64 (.f64 b (-.f64 (.f64 z c) (*.f64 t i))))
5.3b	(cbrt.f64 (.f64 b (-.f64 (.f64 z c) (*.f64 t i))))
5.3b	(cbrt.f64 (.f64 b (-.f64 (.f64 z c) (*.f64 t i))))

rewrite31.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`associate-*r/_binary64_23208` `add-sqr-sqrt_binary64_23288`
6×	`cbrt-div_binary64_23298` `add-cube-cbrt_binary64_23301` `pow1_binary64_23327` `add-exp-log_binary64_23304` `add-cbrt-cube_binary64_23302` `*-un-lft-identity_binary64_23266`
4×	`flip--_binary64_23241` `flip3--_binary64_23270` `add-log-exp_binary64_23305`
3×	`cbrt-prod_binary64_23297` `pow1/3_binary64_23348` `associate-l_binary64_23207` `associate-r_binary64_23206`
2×	`sub-neg_binary64_23259` `distribute-rgt-in_binary64_23216` `distribute-lft-in_binary64_23215` `cancel-sign-sub-inv_binary64_23232`
1×	`*-commutative_binary64_23197` `pow-prod-down_binary64_23337` `cbrt-unprod_binary64_23299` `prod-exp_binary64_23315` `unswap-sqr_binary64_23234`

Counts

4 → 57

Calls

4 calls:

7.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
5.0ms	(cbrt.f64 (.f64 b (-.f64 (.f64 z c) (*.f64 t i))))
5.0ms	(cbrt.f64 (.f64 b (-.f64 (.f64 z c) (*.f64 t i))))
5.0ms	(cbrt.f64 (.f64 b (-.f64 (.f64 z c) (*.f64 t i))))

series594.0ms (5.7%)

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt.f64 (.f64 b (-.f64 (.f64 z c) (*.f64 t i))))
173.0ms	(cbrt.f64 (.f64 b (-.f64 (.f64 z c) (*.f64 t i))))
172.0ms	(cbrt.f64 (.f64 b (-.f64 (.f64 z c) (*.f64 t i))))
73.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))

simplify71.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4998	1282
1	4998	1282

prune88.0ms (0.8%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	20	20
Picked	0	1	1
Done	0	0	0
Total	69	21	90

Error

6.3b

Counts

90 → 21

Compiler

Compiled 4018 to 396 computations (90.1% saved)

regimes1.0s (9.9%)

Accuracy

Total 3.8b remaining (32.4%)

Threshold costs 0b (0%)

Compiler

Compiled 17596 to 11748 computations (33.2% saved)

bsearch0.0ms (0%)

simplify22.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	559	43
1	559	43

end0.0ms (0%)

sample3.6s (34.2%)

Algorithm

1×

intervals

Results

911.0ms	11029×	body	128	invalid
649.0ms	8000×	body	128	valid

Compiler

Compiled 1926 to 1262 computations (34.5% saved)

Details

analyze2.2s (20.8%)

sample94.0ms (0.9%)

simplify696.0ms (6.7%)

prune3.0ms (0%)

localize25.0ms (0.2%)

rewrite32.0ms (0.3%)

series284.0ms (2.7%)

simplify75.0ms (0.7%)

prune153.0ms (1.5%)

localize27.0ms (0.3%)

rewrite26.0ms (0.2%)

series516.0ms (4.9%)

simplify69.0ms (0.7%)

prune127.0ms (1.2%)

localize24.0ms (0.2%)

rewrite48.0ms (0.5%)

series436.0ms (4.2%)

simplify50.0ms (0.5%)

prune149.0ms (1.4%)

localize28.0ms (0.3%)

rewrite31.0ms (0.3%)

series594.0ms (5.7%)

simplify71.0ms (0.7%)

prune88.0ms (0.8%)

regimes1.0s (9.9%)

bsearch0.0ms (0%)

simplify22.0ms (0.2%)

end0.0ms (0%)

sample3.6s (34.2%)

Profiling