Details

analyze629.0ms (9.7%)

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

14.0ms

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 (13.0ms)

Iter	Nodes	Cost
0	453	31
1	453	31

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

19.7b

Counts

2 → 1

Compiler

Compiled 42 to 36 computations (14.3% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (*.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992)
0.1b	(.f64 (+.f64 (.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992) z)
2.7b	(.f64 y (+.f64 (.f64 (+.f64 (*.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992) z) 5029535718965825/18014398509481984))
19.0b	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992) z) 5029535718965825/18014398509481984)) (+.f64 (.f64 (+.f64 z 1692356830115869/281474976710656) z) 7544303578448747/2251799813685248))

rewrite181.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

14.1b

Rules

14×	`add-sqr-sqrt_binary64_9989`
13×	`add-exp-log_binary64_10005` `add-cbrt-cube_binary64_10003`
10×	`add-cube-cbrt_binary64_10002` `*-un-lft-identity_binary64_9967`
8×	`pow1_binary64_10028`
6×	`add-log-exp_binary64_10006` `associate-l_binary64_9908` `associate-r_binary64_9907`
5×	`flip3-+_binary64_9970` `flip-+_binary64_9941`
4×	`associate-*r/_binary64_9909`
3×	`prod-exp_binary64_10016` `cbrt-unprod_binary64_10000` `times-frac_binary64_9973` `associate-/r*_binary64_9911`
2×	`div-exp_binary64_10018` `cbrt-undiv_binary64_10001` `associate-/l/_binary64_9914` `associate-/r/_binary64_9913` `pow-prod-down_binary64_10038` `unswap-sqr_binary64_9935` `-commutative_binary64_9898` `associate-l/_binary64_9910`
1×	`frac-2neg_binary64_9978` `clear-num_binary64_9966` `div-inv_binary64_9964` `associate-/l*_binary64_9912` `distribute-rgt-in_binary64_9917` `distribute-lft-in_binary64_9916` `sum-log_binary64_10058` `+-commutative_binary64_9897`

Counts

4 → 78

Calls

4 calls:

17.0ms	(/.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 y (+.f64 (.f64 (+.f64 (*.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992) z) 5029535718965825/18014398509481984))
7.0ms	(.f64 (+.f64 (.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992) z)
5.0ms	(+.f64 (*.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992)

Compiler

Compiled 2476 to 1839 computations (25.7% saved)

series483.0ms (7.4%)

Error

0.0b

Counts

4 → 37

Calls

4 calls:

205.0ms	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992) z) 5029535718965825/18014398509481984)) (+.f64 (.f64 (+.f64 z 1692356830115869/281474976710656) z) 7544303578448747/2251799813685248))
159.0ms	(.f64 y (+.f64 (.f64 (+.f64 (*.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992) z) 5029535718965825/18014398509481984))
48.0ms	(.f64 (+.f64 (.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992) z)
29.0ms	(+.f64 (*.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992)

Compiler

Compiled 1833 to 1463 computations (20.2% saved)

simplify106.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4891	2064
1	4891	2064

prune157.0ms (2.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	111	4	115
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	111	5	116

Error

0.0b

Counts

116 → 5

Compiler

Compiled 2946 to 2153 computations (26.9% saved)

localize3.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 y 5029535718965825/60354428627589976))
0.2b	(*.f64 y 5029535718965825/60354428627589976)

rewrite32.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-sqr-sqrt_binary64_9989`
4×	`pow1_binary64_10028` `add-exp-log_binary64_10005` `add-log-exp_binary64_10006` `add-cbrt-cube_binary64_10003` `add-cube-cbrt_binary64_10002` `*-un-lft-identity_binary64_9967`
3×	`associate-l_binary64_9908` `associate-r_binary64_9907`
1×	`pow-prod-down_binary64_10038` `prod-exp_binary64_10016` `cbrt-unprod_binary64_10000` `unswap-sqr_binary64_9935` `*-commutative_binary64_9898` `sum-log_binary64_10058` `flip3-+_binary64_9970` `flip-+_binary64_9941` `+-commutative_binary64_9897`

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)

series83.0ms (1.3%)

Error

0.0b

Counts

2 → 15

Calls

2 calls:

60.0ms	(+.f64 x (*.f64 y 5029535718965825/60354428627589976))
17.0ms	(*.f64 y 5029535718965825/60354428627589976)

Compiler

Compiled 159 to 168 computations (-5.7% saved)

simplify96.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4813	323
1	4813	323

prune32.0ms (0.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	43	1	44
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	44	5	49

Error

0.0b

Counts

49 → 5

Compiler

Compiled 397 to 283 computations (28.7% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b

(+.f64 x (*.f64 (*.f64 y (sqrt.f64 5029535718965825/60354428627589976)) (sqrt.f64 5029535718965825/60354428627589976)))

0.0b

(*.f64 y (sqrt.f64 5029535718965825/60354428627589976))

0.3b

(*.f64 (*.f64 y (sqrt.f64 5029535718965825/60354428627589976)) (sqrt.f64 5029535718965825/60354428627589976))

rewrite75.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`add-sqr-sqrt_binary64_9989` `associate-r_binary64_9907`
10×	`pow1_binary64_10028` `add-exp-log_binary64_10005` `add-cbrt-cube_binary64_10003`
8×	`add-cube-cbrt_binary64_10002` `*-un-lft-identity_binary64_9967`
7×	`sqrt-prod_binary64_9983`
5×	`add-log-exp_binary64_10006`
4×	`pow-prod-down_binary64_10038` `prod-exp_binary64_10016` `cbrt-unprod_binary64_10000` `associate-l_binary64_9908`
2×	`*-commutative_binary64_9898` `unswap-sqr_binary64_9935`
1×	`sum-log_binary64_10058` `flip3-+_binary64_9970` `flip-+_binary64_9941` `+-commutative_binary64_9897`

Counts

3 → 54

Calls

3 calls:

7.0ms

(*.f64 (*.f64 y (sqrt.f64 5029535718965825/60354428627589976)) (sqrt.f64 5029535718965825/60354428627589976))

5.0ms

(*.f64 y (sqrt.f64 5029535718965825/60354428627589976))

3.0ms

(+.f64 x (*.f64 (*.f64 y (sqrt.f64 5029535718965825/60354428627589976)) (sqrt.f64 5029535718965825/60354428627589976)))

Compiler

Compiled 856 to 699 computations (18.3% saved)

series206.0ms (3.2%)

Error

0.0b

Counts

3 → 18

Calls

3 calls:

113.0ms

(+.f64 x (*.f64 (*.f64 y (sqrt.f64 5029535718965825/60354428627589976)) (sqrt.f64 5029535718965825/60354428627589976)))

51.0ms

(*.f64 (*.f64 y (sqrt.f64 5029535718965825/60354428627589976)) (sqrt.f64 5029535718965825/60354428627589976))

33.0ms

(*.f64 y (sqrt.f64 5029535718965825/60354428627589976))

Compiler

Compiled 339 to 348 computations (-2.7% saved)

simplify105.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4774	565
1	4774	565

prune52.0ms (0.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	72	5	77

Error

0.0b

Counts

77 → 5

Compiler

Compiled 764 to 586 computations (23.3% saved)

localize25.0ms (0.4%)

Local error

Found 4 expressions with local error:

12.8b	(.f64 (/.f64 y (.f64 (cbrt.f64 (+.f64 7544303578448747/2251799813685248 (.f64 z (+.f64 z 1692356830115869/281474976710656)))) (cbrt.f64 (+.f64 7544303578448747/2251799813685248 (.f64 z (+.f64 z 1692356830115869/281474976710656)))))) (+.f64 5029535718965825/18014398509481984 (.f64 z (+.f64 4429125951667411/9007199254740992 (.f64 4992947066835229/72057594037927936 z)))))
13.5b	(cbrt.f64 (+.f64 (*.f64 (+.f64 z 1692356830115869/281474976710656) z) 7544303578448747/2251799813685248))
13.5b	(cbrt.f64 (+.f64 7544303578448747/2251799813685248 (*.f64 z (+.f64 z 1692356830115869/281474976710656))))
13.5b	(cbrt.f64 (+.f64 7544303578448747/2251799813685248 (*.f64 z (+.f64 z 1692356830115869/281474976710656))))

rewrite277.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

18×	`cbrt-div_binary64_9999`
15×	`associate-l_binary64_9908`
14×	`add-sqr-sqrt_binary64_9989`
13×	`add-exp-log_binary64_10005`
11×	`add-cbrt-cube_binary64_10003` `flip3-+_binary64_9970` `flip-+_binary64_9941`
10×	`add-cube-cbrt_binary64_10002` `*-un-lft-identity_binary64_9967`
9×	`cbrt-prod_binary64_9998`
8×	`associate-/r/_binary64_9913`
6×	`pow1_binary64_10028` `frac-times_binary64_9977`
4×	`add-log-exp_binary64_10006` `prod-exp_binary64_10016` `cbrt-unprod_binary64_10000` `times-frac_binary64_9973` `associate-*r/_binary64_9909`
3×	`pow1/3_binary64_10049` `associate-l/_binary64_9910` `associate-r*_binary64_9907`
2×	`div-exp_binary64_10018` `cbrt-undiv_binary64_10001` `unswap-sqr_binary64_9935`
1×	`pow-prod-down_binary64_10038` `distribute-rgt-in_binary64_9917` `distribute-lft-in_binary64_9916` `div-inv_binary64_9964` `*-commutative_binary64_9898`

Counts

4 → 81

Calls

4 calls:

17.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 (+.f64 7544303578448747/2251799813685248 (.f64 z (+.f64 z 1692356830115869/281474976710656)))) (cbrt.f64 (+.f64 7544303578448747/2251799813685248 (.f64 z (+.f64 z 1692356830115869/281474976710656)))))) (+.f64 5029535718965825/18014398509481984 (.f64 z (+.f64 4429125951667411/9007199254740992 (.f64 4992947066835229/72057594037927936 z)))))
6.0ms	(cbrt.f64 (+.f64 (*.f64 (+.f64 z 1692356830115869/281474976710656) z) 7544303578448747/2251799813685248))
3.0ms	(cbrt.f64 (+.f64 7544303578448747/2251799813685248 (*.f64 z (+.f64 z 1692356830115869/281474976710656))))
3.0ms	(cbrt.f64 (+.f64 7544303578448747/2251799813685248 (*.f64 z (+.f64 z 1692356830115869/281474976710656))))

Compiler

Compiled 4576 to 3490 computations (23.7% saved)

series764.0ms (11.8%)

Error

0.0b

Counts

4 → 35

Calls

4 calls:

511.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 (+.f64 7544303578448747/2251799813685248 (.f64 z (+.f64 z 1692356830115869/281474976710656)))) (cbrt.f64 (+.f64 7544303578448747/2251799813685248 (.f64 z (+.f64 z 1692356830115869/281474976710656)))))) (+.f64 5029535718965825/18014398509481984 (.f64 z (+.f64 4429125951667411/9007199254740992 (.f64 4992947066835229/72057594037927936 z)))))
66.0ms	(cbrt.f64 (+.f64 7544303578448747/2251799813685248 (*.f64 z (+.f64 z 1692356830115869/281474976710656))))
59.0ms	(cbrt.f64 (+.f64 (*.f64 (+.f64 z 1692356830115869/281474976710656) z) 7544303578448747/2251799813685248))
56.0ms	(cbrt.f64 (+.f64 7544303578448747/2251799813685248 (*.f64 z (+.f64 z 1692356830115869/281474976710656))))

Compiler

Compiled 3494 to 2905 computations (16.9% saved)

simplify101.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4963	3377
1	4963	3377

prune274.0ms (4.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	115	6	121

Error

0.0b

Counts

121 → 6

Compiler

Compiled 5470 to 4116 computations (24.8% saved)

regimes865.0ms (13.3%)

Accuracy

Total 0.1b remaining (97.9%)

Threshold costs 0.1b (97.9%)

Compiler

Compiled 7365 to 6233 computations (15.4% saved)

bsearch61.0ms (0.9%)

Steps

Iters	Range		Point
10	0.11288112948982004	31400649771.136192	87664462.12876986
9	-77113232.72232606	-7.103246846818679	-12402545.026031014

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	73	84
1	73	84

end0.0ms (0%)

sample1.8s (28%)

Algorithm

1×

intervals

Results

410.0ms

8000×

body

128

valid

Compiler

Compiled 1554 to 1302 computations (16.2% saved)

Details

analyze629.0ms (9.7%)

sample25.0ms (0.4%)

simplify18.0ms (0.3%)

prune3.0ms (0%)

localize13.0ms (0.2%)

rewrite181.0ms (2.8%)

series483.0ms (7.4%)

simplify106.0ms (1.6%)

prune157.0ms (2.4%)

localize3.0ms (0.1%)

rewrite32.0ms (0.5%)

series83.0ms (1.3%)

simplify96.0ms (1.5%)

prune32.0ms (0.5%)

localize7.0ms (0.1%)

rewrite75.0ms (1.1%)

series206.0ms (3.2%)

simplify105.0ms (1.6%)

prune52.0ms (0.8%)

localize25.0ms (0.4%)

rewrite277.0ms (4.3%)

series764.0ms (11.8%)

simplify101.0ms (1.6%)

prune274.0ms (4.2%)

regimes865.0ms (13.3%)

bsearch61.0ms (0.9%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.8s (28%)

Profiling