Details

analyze662.0ms (11%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1620	124
1	1620	124
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
18.7%	81.1%	0.1%	7
21.8%	78%	0.1%	8
21.8%	78%	0.1%	9
49.1%	50.7%	0.1%	10
52.7%	47.2%	0.1%	11
52.7%	47.2%	0.1%	12
71.7%	28.2%	0.1%	13
74.1%	25.8%	0.1%	14

Compiler

Compiled 22 to 19 computations (13.6% saved)

sample25.0ms (0.4%)

Algorithm

1×

intervals

Results

12.0ms

256×

body

128

valid

Compiler

Compiled 43 to 40 computations (7% saved)

simplify18.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	453	31
1	453	31

prune3.0ms (0.1%)

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

17.7b

Counts

2 → 1

Compiler

Compiled 42 to 36 computations (14.3% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (+.f64 (.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992) z) 5029535718965825/18014398509481984)
0.1b	(.f64 (+.f64 (.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992) z)
3.8b	(.f64 y (+.f64 (.f64 (+.f64 (*.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992) z) 5029535718965825/18014398509481984))
17.1b	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992) z) 5029535718965825/18014398509481984)) (+.f64 (.f64 (+.f64 z 1692356830115869/281474976710656) z) 7544303578448747/2251799813685248))

rewrite233.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

14.1b

Rules

14×	`add-sqr-sqrt_binary64_9307`
13×	`add-exp-log_binary64_9323` `add-cbrt-cube_binary64_9321`
10×	`add-cube-cbrt_binary64_9320` `*-un-lft-identity_binary64_9285`
8×	`pow1_binary64_9346`
6×	`add-log-exp_binary64_9324` `associate-l_binary64_9226` `associate-r_binary64_9225`
5×	`flip3-+_binary64_9288` `flip-+_binary64_9259`
4×	`associate-*r/_binary64_9227`
3×	`prod-exp_binary64_9334` `cbrt-unprod_binary64_9318` `times-frac_binary64_9291` `associate-/r*_binary64_9229`
2×	`div-exp_binary64_9336` `cbrt-undiv_binary64_9319` `associate-/l/_binary64_9232` `associate-/r/_binary64_9231` `pow-prod-down_binary64_9356` `unswap-sqr_binary64_9253` `-commutative_binary64_9216` `associate-l/_binary64_9228`
1×	`frac-2neg_binary64_9296` `clear-num_binary64_9284` `div-inv_binary64_9282` `associate-/l*_binary64_9230` `distribute-rgt-in_binary64_9235` `distribute-lft-in_binary64_9234` `sum-log_binary64_9376` `+-commutative_binary64_9215`

Counts

4 → 78

Calls

4 calls:

15.0ms	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992) z) 5029535718965825/18014398509481984)) (+.f64 (.f64 (+.f64 z 1692356830115869/281474976710656) z) 7544303578448747/2251799813685248))
11.0ms	(+.f64 (.f64 (+.f64 (.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992) z) 5029535718965825/18014398509481984)
10.0ms	(.f64 y (+.f64 (.f64 (+.f64 (*.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992) z) 5029535718965825/18014398509481984))
7.0ms	(.f64 (+.f64 (.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992) z)

Compiler

Compiled 2516 to 1869 computations (25.7% saved)

series754.0ms (12.5%)

Error

0.0b

Counts

4 → 42

Calls

4 calls:

285.0ms	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992) z) 5029535718965825/18014398509481984)) (+.f64 (.f64 (+.f64 z 1692356830115869/281474976710656) z) 7544303578448747/2251799813685248))
226.0ms	(.f64 y (+.f64 (.f64 (+.f64 (*.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992) z) 5029535718965825/18014398509481984))
102.0ms	(+.f64 (.f64 (+.f64 (.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992) z) 5029535718965825/18014398509481984)
82.0ms	(.f64 (+.f64 (.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992) z)

Compiler

Compiled 2007 to 1600 computations (20.3% saved)

simplify91.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5097	2273

prune209.0ms (3.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	116	4	120
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	117	4	121

Error

0.0b

Counts

121 → 4

Compiler

Compiled 3072 to 2239 computations (27.1% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 y 5029535718965825/60354428627589976))
0.3b	(*.f64 y 5029535718965825/60354428627589976)

rewrite29.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-sqr-sqrt_binary64_9307`
4×	`pow1_binary64_9346` `add-exp-log_binary64_9323` `add-log-exp_binary64_9324` `add-cbrt-cube_binary64_9321` `add-cube-cbrt_binary64_9320` `*-un-lft-identity_binary64_9285`
3×	`associate-l_binary64_9226` `associate-r_binary64_9225`
1×	`pow-prod-down_binary64_9356` `prod-exp_binary64_9334` `cbrt-unprod_binary64_9318` `unswap-sqr_binary64_9253` `*-commutative_binary64_9216` `sum-log_binary64_9376` `flip3-+_binary64_9288` `flip-+_binary64_9259` `+-commutative_binary64_9215`

Counts

2 → 29

Calls

2 calls:

4.0ms	(*.f64 y 5029535718965825/60354428627589976)
3.0ms	(+.f64 x (*.f64 y 5029535718965825/60354428627589976))

Compiler

Compiled 308 to 216 computations (29.9% saved)

series105.0ms (1.7%)

Error

0.0b

Counts

2 → 15

Calls

2 calls:

77.0ms	(+.f64 x (*.f64 y 5029535718965825/60354428627589976))
21.0ms	(*.f64 y 5029535718965825/60354428627589976)

Compiler

Compiled 159 to 168 computations (-5.7% saved)

simplify93.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4813	323
1	4813	323

prune35.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	44	4	48

Error

0.0b

Counts

48 → 4

Compiler

Compiled 410 to 293 computations (28.5% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 5029535718965825/18014398509481984 (.f64 z (+.f64 4429125951667411/9007199254740992 (.f64 4992947066835229/72057594037927936 z))))
0.1b	(.f64 z (+.f64 4429125951667411/9007199254740992 (.f64 4992947066835229/72057594037927936 z)))
0.4b	(/.f64 y (/.f64 (+.f64 7544303578448747/2251799813685248 (.f64 z (+.f64 z 1692356830115869/281474976710656))) (+.f64 5029535718965825/18014398509481984 (.f64 z (+.f64 4429125951667411/9007199254740992 (*.f64 4992947066835229/72057594037927936 z))))))
13.7b	(/.f64 (+.f64 7544303578448747/2251799813685248 (.f64 z (+.f64 z 1692356830115869/281474976710656))) (+.f64 5029535718965825/18014398509481984 (.f64 z (+.f64 4429125951667411/9007199254740992 (*.f64 4992947066835229/72057594037927936 z)))))

rewrite369.0ms (6.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

90×	`times-frac_binary64_9291`
60×	`add-sqr-sqrt_binary64_9307`
58×	`add-cube-cbrt_binary64_9320` `*-un-lft-identity_binary64_9285`
18×	`associate-/r*_binary64_9229`
13×	`add-exp-log_binary64_9323` `add-cbrt-cube_binary64_9321`
11×	`associate-/r/_binary64_9231`
8×	`flip3-+_binary64_9288` `flip-+_binary64_9259`
6×	`pow1_binary64_9346` `add-log-exp_binary64_9324` `div-inv_binary64_9282` `associate-/l*_binary64_9230`
4×	`div-exp_binary64_9336` `cbrt-undiv_binary64_9319`
3×	`associate-l_binary64_9226` `associate-r_binary64_9225`
2×	`frac-2neg_binary64_9296` `clear-num_binary64_9284` `associate-/l/_binary64_9232` `distribute-rgt-in_binary64_9235` `distribute-lft-in_binary64_9234` `associate-*r/_binary64_9227` `associate-+r+_binary64_9217`
1×	`pow-prod-down_binary64_9356` `prod-exp_binary64_9334` `cbrt-unprod_binary64_9318` `unswap-sqr_binary64_9253` `*-commutative_binary64_9216` `sum-log_binary64_9376` `+-commutative_binary64_9215`

Counts

4 → 144

Calls

4 calls:

8.0ms	(/.f64 y (/.f64 (+.f64 7544303578448747/2251799813685248 (.f64 z (+.f64 z 1692356830115869/281474976710656))) (+.f64 5029535718965825/18014398509481984 (.f64 z (+.f64 4429125951667411/9007199254740992 (*.f64 4992947066835229/72057594037927936 z))))))
7.0ms	(/.f64 (+.f64 7544303578448747/2251799813685248 (.f64 z (+.f64 z 1692356830115869/281474976710656))) (+.f64 5029535718965825/18014398509481984 (.f64 z (+.f64 4429125951667411/9007199254740992 (*.f64 4992947066835229/72057594037927936 z)))))
6.0ms	(.f64 z (+.f64 4429125951667411/9007199254740992 (.f64 4992947066835229/72057594037927936 z)))
3.0ms	(+.f64 5029535718965825/18014398509481984 (.f64 z (+.f64 4429125951667411/9007199254740992 (.f64 4992947066835229/72057594037927936 z))))

Compiler

Compiled 5534 to 4100 computations (25.9% saved)

series569.0ms (9.5%)

Error

0.0b

Counts

4 → 42

Calls

4 calls:

276.0ms	(/.f64 y (/.f64 (+.f64 7544303578448747/2251799813685248 (.f64 z (+.f64 z 1692356830115869/281474976710656))) (+.f64 5029535718965825/18014398509481984 (.f64 z (+.f64 4429125951667411/9007199254740992 (*.f64 4992947066835229/72057594037927936 z))))))
114.0ms	(+.f64 5029535718965825/18014398509481984 (.f64 z (+.f64 4429125951667411/9007199254740992 (.f64 4992947066835229/72057594037927936 z))))
73.0ms	(.f64 z (+.f64 4429125951667411/9007199254740992 (.f64 4992947066835229/72057594037927936 z)))
63.0ms	(/.f64 (+.f64 7544303578448747/2251799813685248 (.f64 z (+.f64 z 1692356830115869/281474976710656))) (+.f64 5029535718965825/18014398509481984 (.f64 z (+.f64 4429125951667411/9007199254740992 (*.f64 4992947066835229/72057594037927936 z)))))

Compiler

Compiled 1681 to 1372 computations (18.4% saved)

simplify118.0ms (2%)

Algorithm

1×	egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4921	6048
1	4921	6048

prune357.0ms (5.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	186	0	186
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	186	4	190

Error

0.0b

Counts

190 → 4

Compiler

Compiled 5831 to 4244 computations (27.2% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b

(+.f64 x (+.f64 (*.f64 4992947066835229/72057594037927936 y) (*.f64 1523656921787578761671131903927/20282409603651670423947251286016 (/.f64 y z))))

0.0b

(+.f64 (*.f64 4992947066835229/72057594037927936 y) (*.f64 1523656921787578761671131903927/20282409603651670423947251286016 (/.f64 y z)))

0.4b

(*.f64 1523656921787578761671131903927/20282409603651670423947251286016 (/.f64 y z))

rewrite79.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-sqr-sqrt_binary64_9307`
13×	`-un-lft-identity_binary64_9285` `associate-r*_binary64_9225`
11×	`add-cube-cbrt_binary64_9320`
10×	`add-log-exp_binary64_9324` `times-frac_binary64_9291`
8×	`add-exp-log_binary64_9323` `add-cbrt-cube_binary64_9321`
5×	`pow1_binary64_9346`
4×	`sum-log_binary64_9376`
3×	`associate-l_binary64_9226`
2×	`prod-exp_binary64_9334` `cbrt-unprod_binary64_9318` `unswap-sqr_binary64_9253` `flip3-+_binary64_9288` `flip-+_binary64_9259` `+-commutative_binary64_9215`
1×	`pow-prod-down_binary64_9356` `div-exp_binary64_9336` `cbrt-undiv_binary64_9319` `associate-r/_binary64_9227` `div-inv_binary64_9282` `-commutative_binary64_9216` `distribute-lft-out_binary64_9236` `associate-+r+_binary64_9217`

Counts

3 → 57

Calls

3 calls:

7.0ms

(*.f64 1523656921787578761671131903927/20282409603651670423947251286016 (/.f64 y z))

5.0ms

(+.f64 x (+.f64 (*.f64 4992947066835229/72057594037927936 y) (*.f64 1523656921787578761671131903927/20282409603651670423947251286016 (/.f64 y z))))

4.0ms

(+.f64 (*.f64 4992947066835229/72057594037927936 y) (*.f64 1523656921787578761671131903927/20282409603651670423947251286016 (/.f64 y z)))

Compiler

Compiled 1108 to 649 computations (41.4% saved)

series489.0ms (8.1%)

Error

0.0b

Counts

3 → 33

Calls

3 calls:

243.0ms

(+.f64 x (+.f64 (*.f64 4992947066835229/72057594037927936 y) (*.f64 1523656921787578761671131903927/20282409603651670423947251286016 (/.f64 y z))))

142.0ms

(+.f64 (*.f64 4992947066835229/72057594037927936 y) (*.f64 1523656921787578761671131903927/20282409603651670423947251286016 (/.f64 y z)))

85.0ms

(*.f64 1523656921787578761671131903927/20282409603651670423947251286016 (/.f64 y z))

Compiler

Compiled 817 to 673 computations (17.6% saved)

simplify77.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5011	1066

prune76.0ms (1.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	90	4	94

Error

0.0b

Counts

94 → 4

Compiler

Compiled 1194 to 735 computations (38.4% saved)

regimes717.0ms (11.9%)

Accuracy

Total 0.1b remaining (86.1%)

Threshold costs 0.1b (86.1%)

Compiler

Compiled 5784 to 4996 computations (13.6% saved)

bsearch41.0ms (0.7%)

Steps

Iters	Range		Point
9	0.004931865529939365	579368.5902874933	565625.2301272808
2	-17602931501.979267	-13610.13689104963	-519105186.95029813

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	61
1	51	61

end2.0ms (0%)

Compiler: Compiled 41 to 32 computations (22% saved)

sample829.0ms (13.8%)

Algorithm

1×

intervals

Results

403.0ms

8000×

body

128

valid

Compiler

Compiled 210 to 173 computations (17.6% saved)

Details

analyze662.0ms (11%)

sample25.0ms (0.4%)

simplify18.0ms (0.3%)

prune3.0ms (0.1%)

localize14.0ms (0.2%)

rewrite233.0ms (3.9%)

series754.0ms (12.5%)

simplify91.0ms (1.5%)

prune209.0ms (3.5%)

localize4.0ms (0.1%)

rewrite29.0ms (0.5%)

series105.0ms (1.7%)

simplify93.0ms (1.5%)

prune35.0ms (0.6%)

localize15.0ms (0.2%)

rewrite369.0ms (6.1%)

series569.0ms (9.5%)

simplify118.0ms (2%)

prune357.0ms (5.9%)

localize8.0ms (0.1%)

rewrite79.0ms (1.3%)

series489.0ms (8.1%)

simplify77.0ms (1.3%)

prune76.0ms (1.3%)

regimes717.0ms (11.9%)

bsearch41.0ms (0.7%)

simplify3.0ms (0%)

end2.0ms (0%)

sample829.0ms (13.8%)

Profiling