Details

analyze822.0ms (15.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
0%	100%	0%	4
0%	100%	0%	5
0%	100%	0%	6
0%	100%	0%	7
0%	100%	0%	8
0%	100%	0%	9
0%	100%	0%	10
0%	100%	0%	11
0%	100%	0%	12
3%	46.9%	50%	13
3.1%	46.8%	50%	14

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample71.0ms (1.4%)

Algorithm

1×

intervals

Results

40.0ms	118×	body	2048	valid
15.0ms	69×	body	1024	valid
4.0ms	29×	body	512	valid
2.0ms	22×	body	256	valid
1.0ms	18×	body	128	valid

Compiler

Compiled 29 to 22 computations (24.1% saved)

simplify232.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4883	21
1	4883	21

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.8b

Counts

2 → 1

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b	(.f64 5 (.f64 v v))
0.8b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite9.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-cbrt-cube_binary64_1795` `add-exp-log_binary64_1797` `pow1_binary64_1820`
4×	`add-sqr-sqrt_binary64_1783`
3×	`pow-prod-down_binary64_1830` `prod-exp_binary64_1808` `cbrt-unprod_binary64_1792` `-un-lft-identity_binary64_1762` `add-cube-cbrt_binary64_1794` `associate-l*_binary64_1705`
2×	`add-log-exp_binary64_1798`
1×	`unswap-sqr_binary64_1730` `acos-asin_binary64_1940` `-commutative_binary64_1695` `associate-r*_binary64_1704`

Counts

2 → 27

Calls

2 calls:

6.0ms	(.f64 5 (.f64 v v))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

series58.0ms (1.1%)

Counts

2 → 6

Calls

2 calls:

33.0ms	(.f64 5 (.f64 v v))
25.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

simplify66.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4798	456
1	4798	456

prune35.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	3	34

Merged error: 0.8b

Counts

34 → 3

Compiler

Compiled 649 to 415 computations (36.1% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
0.0b	(exp.f64 (log.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))
0.2b	(.f64 5 (.f64 v v))
0.8b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite16.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64_1820`
10×	`add-exp-log_binary64_1797`
9×	`add-sqr-sqrt_binary64_1783` `add-cbrt-cube_binary64_1795`
8×	`*-un-lft-identity_binary64_1762` `add-cube-cbrt_binary64_1794`
6×	`log-prod_binary64_1845`
4×	`exp-prod_binary64_1811` `add-log-exp_binary64_1798`
3×	`pow-prod-down_binary64_1830` `prod-exp_binary64_1808` `cbrt-unprod_binary64_1792` `exp-sum_binary64_1805` `associate-l_binary64_1705`
2×	`log-pow_binary64_1848`
1×	`rem-exp-log_binary64_1799` `unswap-sqr_binary64_1730` `acos-asin_binary64_1940` `-commutative_binary64_1695` `rem-log-exp_binary64_1800` `associate-r*_binary64_1704`

Counts

4 → 54

Calls

4 calls:

6.0ms	(.f64 5 (.f64 v v))
2.0ms	(exp.f64 (log.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
1.0ms	(log.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))

series585.0ms (11.1%)

Counts

4 → 12

Calls

4 calls:

299.0ms	(exp.f64 (log.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))
228.0ms	(log.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
35.0ms	(.f64 5 (.f64 v v))
23.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

simplify94.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4806	1284
1	4806	1284

prune76.0ms (1.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	66	3	69

Merged error: 0.8b

Counts

69 → 3

Compiler

Compiled 1457 to 958 computations (34.2% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 5 (.f64 v v))
0.2b	(.f64 5 (.f64 v v))
0.8b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
0.8b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite21.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-cbrt-cube_binary64_1795` `add-exp-log_binary64_1797` `pow1_binary64_1820`
8×	`add-sqr-sqrt_binary64_1783`
6×	`pow-prod-down_binary64_1830` `prod-exp_binary64_1808` `cbrt-unprod_binary64_1792` `-un-lft-identity_binary64_1762` `add-cube-cbrt_binary64_1794` `associate-l*_binary64_1705`
4×	`add-log-exp_binary64_1798`
2×	`unswap-sqr_binary64_1730` `acos-asin_binary64_1940` `-commutative_binary64_1695` `associate-r*_binary64_1704`

Counts

4 → 54

Calls

4 calls:

6.0ms	(.f64 5 (.f64 v v))
6.0ms	(.f64 5 (.f64 v v))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

series107.0ms (2%)

Counts

4 → 12

Calls

4 calls:

35.0ms	(.f64 5 (.f64 v v))
31.0ms	(.f64 5 (.f64 v v))
22.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
19.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

simplify71.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4798	912
1	4798	912

prune118.0ms (2.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	66	3	69

Merged error: 0.8b

Counts

69 → 3

Compiler

Compiled 2564 to 1717 computations (33% saved)

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 5 (.f64 v v))
0.8b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
0.8b	(acos.f64 (/.f64 (-.f64 1 (log.f64 (exp.f64 (.f64 5 (.f64 v v))))) (-.f64 (*.f64 v v) 1)))
3.9b	(log.f64 (exp.f64 (.f64 5 (.f64 v v))))

rewrite17.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`pow1_binary64_1820`
9×	`add-cbrt-cube_binary64_1795` `add-exp-log_binary64_1797`
7×	`add-sqr-sqrt_binary64_1783`
6×	`*-un-lft-identity_binary64_1762` `add-cube-cbrt_binary64_1794`
5×	`add-log-exp_binary64_1798`
3×	`log-prod_binary64_1845` `pow-prod-down_binary64_1830` `log-pow_binary64_1848` `prod-exp_binary64_1808` `cbrt-unprod_binary64_1792` `associate-l_binary64_1705`
2×	`acos-asin_binary64_1940`
1×	`exp-prod_binary64_1811` `unswap-sqr_binary64_1730` `-commutative_binary64_1695` `exp-to-pow_binary64_1821` `rem-log-exp_binary64_1800` `associate-r*_binary64_1704`

Counts

4 → 49

Calls

4 calls:

7.0ms	(.f64 5 (.f64 v v))
2.0ms	(log.f64 (exp.f64 (.f64 5 (.f64 v v))))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (log.f64 (exp.f64 (.f64 5 (.f64 v v))))) (-.f64 (*.f64 v v) 1)))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

series209.0ms (4%)

Counts

4 → 12

Calls

4 calls:

134.0ms	(log.f64 (exp.f64 (.f64 5 (.f64 v v))))
35.0ms	(.f64 5 (.f64 v v))
22.0ms	(acos.f64 (/.f64 (-.f64 1 (log.f64 (exp.f64 (.f64 5 (.f64 v v))))) (-.f64 (*.f64 v v) 1)))
18.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

simplify67.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5583	887

prune112.0ms (2.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	61	3	64

Merged error: 0.8b

Counts

64 → 3

Compiler

Compiled 2394 to 1616 computations (32.5% saved)

regimes67.0ms (1.3%)

Compiler: Compiled 692 to 486 computations (29.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	93	110
1	93	110

end0.0ms (0%)

sample2.3s (44.6%)

Algorithm

1×

intervals

Results

1.3s	4014×	body	2048	valid
453.0ms	2040×	body	1024	valid
154.0ms	980×	body	512	valid
51.0ms	488×	body	256	valid
31.0ms	478×	body	128	valid
0.0ms	7×	body	128	nan

Compiler

Compiled 203 to 142 computations (30% saved)

Details

analyze822.0ms (15.6%)

sample71.0ms (1.4%)

simplify232.0ms (4.4%)

prune3.0ms (0%)

localize7.0ms (0.1%)

rewrite9.0ms (0.2%)

series58.0ms (1.1%)

simplify66.0ms (1.3%)

prune35.0ms (0.7%)

localize11.0ms (0.2%)

rewrite16.0ms (0.3%)

series585.0ms (11.1%)

simplify94.0ms (1.8%)

prune76.0ms (1.4%)

localize13.0ms (0.3%)

rewrite21.0ms (0.4%)

series107.0ms (2%)

simplify71.0ms (1.3%)

prune118.0ms (2.2%)

localize21.0ms (0.4%)

rewrite17.0ms (0.3%)

series209.0ms (4%)

simplify67.0ms (1.3%)

prune112.0ms (2.1%)

regimes67.0ms (1.3%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.3s (44.6%)

Profiling