Details

analyze2.0s (19.6%)

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)

sample89.0ms (0.9%)

Algorithm

1×

intervals

Results

26.0ms	347×	body	128	invalid
20.0ms	256×	body	128	valid

Compiler

Compiled 59 to 56 computations (5.1% saved)

simplify711.0ms (6.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (610.0ms)

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

Merged error: 10.8b

Counts

2 → 1

Compiler

Compiled 58 to 46 computations (20.7% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(-.f64 (.f64 c t) (.f64 i y))
4.4b	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
4.7b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
5.0b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))

rewrite32.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_13399`
10×	`add-cube-cbrt_binary64_13412` `*-un-lft-identity_binary64_13377` `pow1_binary64_13438` `add-exp-log_binary64_13415` `add-cbrt-cube_binary64_13413`
9×	`associate-r_binary64_13317` `associate-l_binary64_13318`
7×	`sub-neg_binary64_13370` `cancel-sign-sub-inv_binary64_13343`
6×	`distribute-rgt-in_binary64_13327` `distribute-lft-in_binary64_13326` `add-log-exp_binary64_13416` `associate-*r/_binary64_13319`
4×	`flip3--_binary64_13381` `flip--_binary64_13352`
3×	`prod-exp_binary64_13426` `cbrt-unprod_binary64_13410` `unswap-sqr_binary64_13345` `pow-prod-down_binary64_13448` `*-commutative_binary64_13308`
1×	`diff-log_binary64_13469`

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 i a)))
6.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
4.0ms	(-.f64 (.f64 c t) (.f64 i y))

series284.0ms (2.7%)

Counts

4 → 12

Calls

4 calls:

85.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
84.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
77.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
38.0ms	(-.f64 (.f64 c t) (.f64 i y))

simplify70.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4938	1492
1	4938	1492

prune159.0ms (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

Merged error: 7.7b

Counts

97 → 20

Compiler

Compiled 4163 to 913 computations (78.1% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.6b	(.f64 (-.f64 (.f64 y z) (*.f64 t a)) (cbrt.f64 x))
2.7b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (-.f64 (.f64 y z) (*.f64 t a)) (cbrt.f64 x)))
4.4b	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
4.7b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))

rewrite48.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`pow1_binary64_13438` `add-exp-log_binary64_13415`
19×	`add-sqr-sqrt_binary64_13399`
15×	`add-cbrt-cube_binary64_13413`
13×	`associate-r_binary64_13317`
11×	`prod-exp_binary64_13426` `add-cube-cbrt_binary64_13412` `*-un-lft-identity_binary64_13377` `cbrt-unprod_binary64_13410` `pow-prod-down_binary64_13448`
10×	`associate-l_binary64_13318`
6×	`associate-*r/_binary64_13319`
4×	`distribute-rgt-in_binary64_13327` `associate-l/_binary64_13320` `distribute-lft-in_binary64_13326` `cbrt-prod_binary64_13408` `unswap-sqr_binary64_13345` `-commutative_binary64_13308` `flip3--_binary64_13381` `flip--_binary64_13352` `add-log-exp_binary64_13416` `sub-neg_binary64_13370` `cancel-sign-sub-inv_binary64_13343`

Counts

4 → 96

Calls

4 calls:

13.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (-.f64 (.f64 y z) (*.f64 t a)) (cbrt.f64 x)))
8.0ms	(.f64 (-.f64 (.f64 y z) (*.f64 t a)) (cbrt.f64 x))
7.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
7.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))

series444.0ms (4.3%)

Counts

4 → 12

Calls

4 calls:

148.0ms	(.f64 (-.f64 (.f64 y z) (*.f64 t a)) (cbrt.f64 x))
140.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (-.f64 (.f64 y z) (*.f64 t a)) (cbrt.f64 x)))
79.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
77.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))

simplify47.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	4974	1747
1	4974	1747

prune150.0ms (1.5%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	104	4	108
Fresh	1	18	19
Picked	1	0	1
Done	0	0	0
Total	106	22	128

Merged error: 7.7b

Counts

128 → 22

Compiler

Compiled 5252 to 1054 computations (79.9% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.7b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
5.6b	(cbrt.f64 (-.f64 (.f64 y z) (.f64 t a)))
5.6b	(cbrt.f64 (-.f64 (.f64 y z) (.f64 t a)))
5.6b	(cbrt.f64 (-.f64 (.f64 y z) (.f64 t a)))

rewrite26.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_13399`
9×	`add-cube-cbrt_binary64_13412` `*-un-lft-identity_binary64_13377` `cbrt-prod_binary64_13408`
6×	`pow1_binary64_13438` `add-exp-log_binary64_13415` `add-cbrt-cube_binary64_13413` `cbrt-div_binary64_13409`
4×	`flip3--_binary64_13381` `flip--_binary64_13352` `add-log-exp_binary64_13416`
3×	`associate-r_binary64_13317` `pow1/3_binary64_13459` `associate-l_binary64_13318`
2×	`distribute-rgt-in_binary64_13327` `distribute-lft-in_binary64_13326` `associate-*r/_binary64_13319` `sub-neg_binary64_13370` `cancel-sign-sub-inv_binary64_13343`
1×	`prod-exp_binary64_13426` `cbrt-unprod_binary64_13410` `unswap-sqr_binary64_13345` `pow-prod-down_binary64_13448` `*-commutative_binary64_13308`

Counts

4 → 63

Calls

4 calls:

6.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
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)))

series502.0ms (4.8%)

Counts

4 → 12

Calls

4 calls:

146.0ms	(cbrt.f64 (-.f64 (.f64 y z) (.f64 t a)))
137.0ms	(cbrt.f64 (-.f64 (.f64 y z) (.f64 t a)))
130.0ms	(cbrt.f64 (-.f64 (.f64 y z) (.f64 t a)))
89.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))

simplify60.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5031	1393

prune131.0ms (1.3%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	21	21
Picked	0	1	1
Done	0	0	0
Total	75	22	97

Merged error: 7.7b

Counts

97 → 22

Compiler

Compiled 4991 to 1020 computations (79.6% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

5.0b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
5.9b	(cbrt.f64 (.f64 x (-.f64 (.f64 y z) (*.f64 t a))))
5.9b	(cbrt.f64 (.f64 x (-.f64 (.f64 y z) (*.f64 t a))))
5.9b	(cbrt.f64 (.f64 x (-.f64 (.f64 y z) (*.f64 t a))))

rewrite30.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_13399` `associate-*r/_binary64_13319`
6×	`add-cube-cbrt_binary64_13412` `*-un-lft-identity_binary64_13377` `pow1_binary64_13438` `add-exp-log_binary64_13415` `add-cbrt-cube_binary64_13413` `cbrt-div_binary64_13409`
4×	`flip3--_binary64_13381` `flip--_binary64_13352` `add-log-exp_binary64_13416`
3×	`associate-r_binary64_13317` `cbrt-prod_binary64_13408` `pow1/3_binary64_13459` `associate-l_binary64_13318`
2×	`distribute-rgt-in_binary64_13327` `distribute-lft-in_binary64_13326` `sub-neg_binary64_13370` `cancel-sign-sub-inv_binary64_13343`
1×	`prod-exp_binary64_13426` `cbrt-unprod_binary64_13410` `unswap-sqr_binary64_13345` `pow-prod-down_binary64_13448` `*-commutative_binary64_13308`

Counts

4 → 57

Calls

4 calls:

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

series614.0ms (5.9%)

Counts

4 → 12

Calls

4 calls:

185.0ms	(cbrt.f64 (.f64 x (-.f64 (.f64 y z) (*.f64 t a))))
183.0ms	(cbrt.f64 (.f64 x (-.f64 (.f64 y z) (*.f64 t a))))
169.0ms	(cbrt.f64 (.f64 x (-.f64 (.f64 y z) (*.f64 t a))))
76.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))

simplify86.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4913	1268
1	4913	1268

prune99.0ms (1%)

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	67	2	69
Fresh	1	19	20
Picked	0	1	1
Done	0	1	1
Total	68	23	91

Merged error: 7.6b

Counts

91 → 23

Compiler

Compiled 4009 to 418 computations (89.6% saved)

regimes1.0s (10.1%)

Compiler: Compiled 18306 to 11668 computations (36.3% saved)

bsearch5.0ms (0%)

Compiler: Compiled 29 to 23 computations (20.7% saved)

simplify19.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	534	119
1	534	119

end0.0ms (0%)

sample3.6s (34.5%)

Algorithm

1×

intervals

Results

892.0ms	11067×	body	128	invalid
648.0ms	8000×	body	128	valid

Compiler

Compiled 2118 to 1268 computations (40.1% saved)

Details

analyze2.0s (19.6%)

sample89.0ms (0.9%)

simplify711.0ms (6.9%)

prune3.0ms (0%)

localize21.0ms (0.2%)

rewrite32.0ms (0.3%)

series284.0ms (2.7%)

simplify70.0ms (0.7%)

prune159.0ms (1.5%)

localize25.0ms (0.2%)

rewrite48.0ms (0.5%)

series444.0ms (4.3%)

simplify47.0ms (0.5%)

prune150.0ms (1.5%)

localize24.0ms (0.2%)

rewrite26.0ms (0.3%)

series502.0ms (4.8%)

simplify60.0ms (0.6%)

prune131.0ms (1.3%)

localize26.0ms (0.2%)

rewrite30.0ms (0.3%)

series614.0ms (5.9%)

simplify86.0ms (0.8%)

prune99.0ms (1%)

regimes1.0s (10.1%)

bsearch5.0ms (0%)

simplify19.0ms (0.2%)

end0.0ms (0%)

sample3.6s (34.5%)

Profiling