Details

analyze2.0s (18.1%)

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)

sample93.0ms (0.8%)

Algorithm

1×

intervals

Results

33.0ms	370×	body	128	invalid
20.0ms	256×	body	128	valid

Compiler

Compiled 59 to 56 computations (5.1% saved)

simplify701.0ms (6.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (607.0ms)

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

13.2b

Counts

2 → 1

Compiler

Compiled 58 to 46 computations (20.7% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x (-.f64 (.f64 y z) (.f64 t a))) (.f64 b (-.f64 (.f64 c z) (.f64 i a))))
4.2b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
6.3b	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
6.8b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))

rewrite42.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_15445`
14×	`associate-*r/_binary64_15365`
11×	`sub-neg_binary64_15416` `cancel-sign-sub-inv_binary64_15389`
10×	`add-cube-cbrt_binary64_15458` `pow1_binary64_15484` `distribute-lft-in_binary64_15372` `distribute-rgt-in_binary64_15373` `*-un-lft-identity_binary64_15423` `add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459`
9×	`associate-r_binary64_15363` `associate-l_binary64_15364`
8×	`flip3--_binary64_15427` `flip--_binary64_15398`
6×	`add-log-exp_binary64_15462`
4×	`associate--l+_binary64_15360` `associate--r+_binary64_15359` `frac-sub_binary64_15432`
3×	`*-commutative_binary64_15354` `prod-exp_binary64_15472` `unswap-sqr_binary64_15391` `pow-prod-down_binary64_15494` `cbrt-unprod_binary64_15456`
1×	`diff-log_binary64_15515`

Counts

4 → 96

Calls

4 calls:

9.0ms	(-.f64 (.f64 x (-.f64 (.f64 y z) (.f64 t a))) (.f64 b (-.f64 (.f64 c z) (.f64 i a))))
7.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
7.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
7.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))

series502.0ms (4.5%)

Counts

4 → 12

Calls

4 calls:

259.0ms	(-.f64 (.f64 x (-.f64 (.f64 y z) (.f64 t a))) (.f64 b (-.f64 (.f64 c z) (.f64 i a))))
82.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
81.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
80.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))

simplify73.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5172	2497

prune175.0ms (1.6%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	89	19	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	19	109

Error

7.9b

Counts

109 → 19

Compiler

Compiled 4801 to 902 computations (81.2% saved)

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

3.1b	(.f64 (-.f64 (.f64 c t) (*.f64 i y)) (cbrt.f64 j))
3.9b	(.f64 (.f64 (cbrt.f64 j) (cbrt.f64 j)) (.f64 (-.f64 (.f64 c t) (*.f64 i y)) (cbrt.f64 j)))
4.2b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
6.3b	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))

rewrite45.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`pow1_binary64_15484` `add-exp-log_binary64_15461`
19×	`add-sqr-sqrt_binary64_15445`
15×	`add-cbrt-cube_binary64_15459`
13×	`associate-r_binary64_15363`
11×	`add-cube-cbrt_binary64_15458` `*-un-lft-identity_binary64_15423` `prod-exp_binary64_15472` `pow-prod-down_binary64_15494` `cbrt-unprod_binary64_15456`
10×	`associate-l_binary64_15364`
6×	`associate-*r/_binary64_15365`
4×	`-commutative_binary64_15354` `flip3--_binary64_15427` `distribute-lft-in_binary64_15372` `flip--_binary64_15398` `distribute-rgt-in_binary64_15373` `unswap-sqr_binary64_15391` `sub-neg_binary64_15416` `cbrt-prod_binary64_15454` `associate-l/_binary64_15366` `add-log-exp_binary64_15462` `cancel-sign-sub-inv_binary64_15389`

Counts

4 → 96

Calls

4 calls:

12.0ms	(.f64 (.f64 (cbrt.f64 j) (cbrt.f64 j)) (.f64 (-.f64 (.f64 c t) (*.f64 i y)) (cbrt.f64 j)))
8.0ms	(.f64 (-.f64 (.f64 c t) (*.f64 i y)) (cbrt.f64 j))
7.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
7.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))

series459.0ms (4.1%)

Counts

4 → 12

Calls

4 calls:

156.0ms	(.f64 (-.f64 (.f64 c t) (*.f64 i y)) (cbrt.f64 j))
140.0ms	(.f64 (.f64 (cbrt.f64 j) (cbrt.f64 j)) (.f64 (-.f64 (.f64 c t) (*.f64 i y)) (cbrt.f64 j)))
86.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
77.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))

simplify53.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5694	1747

prune145.0ms (1.3%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	105	3	108
Fresh	1	17	18
Picked	1	0	1
Done	0	0	0
Total	107	20	127

Error

7.9b

Counts

127 → 20

Compiler

Compiled 5173 to 954 computations (81.6% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.0b	(.f64 (-.f64 (.f64 c z) (*.f64 i a)) (cbrt.f64 b))
3.5b	(.f64 (.f64 (cbrt.f64 b) (cbrt.f64 b)) (.f64 (-.f64 (.f64 c z) (*.f64 i a)) (cbrt.f64 b)))
4.2b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
6.8b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))

rewrite47.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`pow1_binary64_15484` `add-exp-log_binary64_15461`
19×	`add-sqr-sqrt_binary64_15445`
15×	`add-cbrt-cube_binary64_15459`
13×	`associate-r_binary64_15363`
11×	`add-cube-cbrt_binary64_15458` `*-un-lft-identity_binary64_15423` `prod-exp_binary64_15472` `pow-prod-down_binary64_15494` `cbrt-unprod_binary64_15456`
10×	`associate-l_binary64_15364`
6×	`associate-*r/_binary64_15365`
4×	`-commutative_binary64_15354` `flip3--_binary64_15427` `distribute-lft-in_binary64_15372` `flip--_binary64_15398` `distribute-rgt-in_binary64_15373` `unswap-sqr_binary64_15391` `sub-neg_binary64_15416` `cbrt-prod_binary64_15454` `associate-l/_binary64_15366` `add-log-exp_binary64_15462` `cancel-sign-sub-inv_binary64_15389`

Counts

4 → 96

Calls

4 calls:

15.0ms	(.f64 (.f64 (cbrt.f64 b) (cbrt.f64 b)) (.f64 (-.f64 (.f64 c z) (*.f64 i a)) (cbrt.f64 b)))
8.0ms	(.f64 (-.f64 (.f64 c z) (*.f64 i a)) (cbrt.f64 b))
7.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
6.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))

series461.0ms (4.2%)

Counts

4 → 12

Calls

4 calls:

155.0ms	(.f64 (-.f64 (.f64 c z) (*.f64 i a)) (cbrt.f64 b))
138.0ms	(.f64 (.f64 (cbrt.f64 b) (cbrt.f64 b)) (.f64 (-.f64 (.f64 c z) (*.f64 i a)) (cbrt.f64 b)))
92.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
76.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))

simplify50.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5718	1747

prune145.0ms (1.3%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	106	2	108
Fresh	1	18	19
Picked	1	0	1
Done	0	0	0
Total	108	20	128

Error

7.9b

Counts

128 → 20

Compiler

Compiled 5164 to 971 computations (81.2% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

6.8b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
8.0b	(cbrt.f64 (-.f64 (.f64 c z) (.f64 i a)))
8.0b	(cbrt.f64 (-.f64 (.f64 c z) (.f64 i a)))
8.0b	(cbrt.f64 (-.f64 (.f64 c z) (.f64 i a)))

rewrite26.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_15445`
9×	`add-cube-cbrt_binary64_15458` `*-un-lft-identity_binary64_15423` `cbrt-prod_binary64_15454`
6×	`pow1_binary64_15484` `add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459` `cbrt-div_binary64_15455`
4×	`flip3--_binary64_15427` `flip--_binary64_15398` `add-log-exp_binary64_15462`
3×	`associate-r_binary64_15363` `pow1/3_binary64_15505` `associate-l_binary64_15364`
2×	`distribute-lft-in_binary64_15372` `distribute-rgt-in_binary64_15373` `associate-*r/_binary64_15365` `sub-neg_binary64_15416` `cancel-sign-sub-inv_binary64_15389`
1×	`*-commutative_binary64_15354` `prod-exp_binary64_15472` `unswap-sqr_binary64_15391` `pow-prod-down_binary64_15494` `cbrt-unprod_binary64_15456`

Counts

4 → 63

Calls

4 calls:

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

series756.0ms (6.8%)

Counts

4 → 12

Calls

4 calls:

362.0ms	(cbrt.f64 (-.f64 (.f64 c z) (.f64 i a)))
160.0ms	(cbrt.f64 (-.f64 (.f64 c z) (.f64 i a)))
148.0ms	(cbrt.f64 (-.f64 (.f64 c z) (.f64 i a)))
85.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))

simplify67.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5011	1393

prune97.0ms (0.9%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	0	19	19
Picked	1	0	1
Done	0	0	0
Total	74	21	95

Error

7.9b

Counts

95 → 21

Compiler

Compiled 4123 to 447 computations (89.2% saved)

regimes1.3s (11.3%)

Accuracy

Total 5.2b remaining (42.2%)

Threshold costs 0b (0%)

Compiler

Compiled 19376 to 12448 computations (35.8% saved)

bsearch112.0ms (1%)

Steps

Iters	Range		Point
8	4.8526330223713764e-170	8.153489176182355e-167	5.755585040065869e-170
7	-7.919172679257599e-274	-3.988274900081206e-275	-2.0417513717826074e-274

Compiler

Compiled 1 to 9 computations (-800% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	159	88
1	159	88

end0.0ms (0%)

sample3.6s (32.9%)

Algorithm

1×

intervals

Results

904.0ms	11277×	body	128	invalid
628.0ms	8000×	body	128	valid

Compiler

Compiled 2204 to 1354 computations (38.6% saved)

Details

analyze2.0s (18.1%)

sample93.0ms (0.8%)

simplify701.0ms (6.3%)

prune3.0ms (0%)

localize20.0ms (0.2%)

rewrite42.0ms (0.4%)

series502.0ms (4.5%)

simplify73.0ms (0.7%)

prune175.0ms (1.6%)

localize29.0ms (0.3%)

rewrite45.0ms (0.4%)

series459.0ms (4.1%)

simplify53.0ms (0.5%)

prune145.0ms (1.3%)

localize26.0ms (0.2%)

rewrite47.0ms (0.4%)

series461.0ms (4.2%)

simplify50.0ms (0.5%)

prune145.0ms (1.3%)

localize26.0ms (0.2%)

rewrite26.0ms (0.2%)

series756.0ms (6.8%)

simplify67.0ms (0.6%)

prune97.0ms (0.9%)

regimes1.3s (11.3%)

bsearch112.0ms (1%)

simplify5.0ms (0%)

end0.0ms (0%)

sample3.6s (32.9%)

Profiling