Details

analyze618.0ms (14.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
17.2%	82.7%	0.2%	9
22.6%	77.2%	0.2%	10
25.7%	74.1%	0.2%	11
28.3%	69.9%	1.9%	12
40.1%	55.3%	4.6%	13
44.4%	49.9%	5.8%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample20.0ms (0.5%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	60×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify149.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	734	13
1	734	13

prune2.0ms (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

Error

2.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

6.9b	(*.f64 (-.f64 y x) (/.f64 z t))

rewrite13.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_14081`
13×	`associate-r_binary64_13999`
11×	`*-un-lft-identity_binary64_14059`
10×	`times-frac_binary64_14065`
9×	`add-cube-cbrt_binary64_14094`
6×	`add-cbrt-cube_binary64_14095` `add-exp-log_binary64_14097`
5×	`associate-l_binary64_14000`
3×	`pow1_binary64_14120`
2×	`frac-times_binary64_14069` `flip--_binary64_14034` `associate-*l/_binary64_14002` `prod-exp_binary64_14108` `cbrt-unprod_binary64_14092` `unswap-sqr_binary64_14027` `flip3--_binary64_14063`
1×	`add-log-exp_binary64_14098` `div-exp_binary64_14110` `-commutative_binary64_13990` `div-inv_binary64_14056` `cbrt-undiv_binary64_14093` `associate-r/_binary64_14001` `pow-prod-down_binary64_14130` `difference-of-squares_binary64_14028` `distribute-lft-out--_binary64_14011`

Counts

1 → 38

Calls

1 calls:

10.0ms

(*.f64 (-.f64 y x) (/.f64 z t))

series51.0ms (1.2%)

Counts

1 → 3

Calls

1 calls:

50.0ms

(*.f64 (-.f64 y x) (/.f64 z t))

simplify56.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5704	564

prune46.0ms (1.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	34	7	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	8	42

Error

Counts

42 → 8

Compiler

Compiled 733 to 237 computations (67.7% saved)

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
1.0b	(.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))

rewrite25.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-exp-log_binary64_14097`
14×	`add-cbrt-cube_binary64_14095` `add-sqr-sqrt_binary64_14081`
11×	`*-un-lft-identity_binary64_14059`
9×	`add-cube-cbrt_binary64_14094` `prod-exp_binary64_14108` `cbrt-prod_binary64_14090` `cbrt-unprod_binary64_14092`
6×	`pow1_binary64_14120`
5×	`associate-r_binary64_13999` `associate-l_binary64_14000`
4×	`add-log-exp_binary64_14098` `div-exp_binary64_14110` `cbrt-undiv_binary64_14093`
3×	`pow1/3_binary64_14141`
2×	`frac-times_binary64_14069` `flip--_binary64_14034` `associate-*l/_binary64_14002` `times-frac_binary64_14065` `unswap-sqr_binary64_14027` `flip3--_binary64_14063`
1×	`-commutative_binary64_13990` `div-inv_binary64_14056` `associate-r/_binary64_14001` `pow-prod-down_binary64_14130` `difference-of-squares_binary64_14028` `distribute-lft-out--_binary64_14011`

Counts

4 → 69

Calls

4 calls:

15.0ms	(.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series406.0ms (9.5%)

Counts

4 → 12

Calls

4 calls:

167.0ms	(.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))
83.0ms	(cbrt.f64 z)
79.0ms	(cbrt.f64 z)
77.0ms	(cbrt.f64 z)

simplify39.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5153	1103

prune79.0ms (1.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	81	8	89

Error

Counts

89 → 8

Compiler

Compiled 2228 to 605 computations (72.8% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 y x))
0.5b	(*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x)))
3.5b	(.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (*.f64 (/.f64 z t) (cbrt.f64 (-.f64 y x))))
3.6b	(*.f64 (/.f64 z t) (cbrt.f64 (-.f64 y x)))

rewrite71.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

126×	`cbrt-div_binary64_14091`
88×	`frac-times_binary64_14069`
63×	`flip--_binary64_14034` `flip3--_binary64_14063`
52×	`add-sqr-sqrt_binary64_14081`
40×	`*-un-lft-identity_binary64_14059` `cbrt-prod_binary64_14090`
39×	`associate-*r/_binary64_14001`
32×	`associate-*l/_binary64_14002` `add-exp-log_binary64_14097`
25×	`pow1_binary64_14120`
22×	`add-cube-cbrt_binary64_14094` `associate-l_binary64_14000`
18×	`add-cbrt-cube_binary64_14095`
17×	`associate-r_binary64_13999`
16×	`prod-exp_binary64_14108` `cbrt-unprod_binary64_14092`
11×	`times-frac_binary64_14065` `pow-prod-down_binary64_14130`
10×	`swap-sqr_binary64_14026`
8×	`unswap-sqr_binary64_14027` `distribute-lft-out--_binary64_14011`
7×	`pow1/3_binary64_14141`
6×	`difference-of-squares_binary64_14028`
4×	`add-log-exp_binary64_14098`
3×	`div-exp_binary64_14110` `*-commutative_binary64_13990` `cbrt-undiv_binary64_14093`
2×	`pow-prod-up_binary64_14129` `pow-sqr_binary64_14032`
1×	`pow2_binary64_14140` `pow-plus_binary64_14122` `div-inv_binary64_14056`

Counts

4 → 193

Calls

4 calls:

20.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (*.f64 (/.f64 z t) (cbrt.f64 (-.f64 y x))))
12.0ms	(*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x)))
11.0ms	(*.f64 (/.f64 z t) (cbrt.f64 (-.f64 y x)))
3.0ms	(cbrt.f64 (-.f64 y x))

series408.0ms (9.6%)

Counts

4 → 12

Calls

4 calls:

121.0ms	(*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x)))
118.0ms	(cbrt.f64 (-.f64 y x))
115.0ms	(*.f64 (/.f64 z t) (cbrt.f64 (-.f64 y x)))
54.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (*.f64 (/.f64 z t) (cbrt.f64 (-.f64 y x))))

simplify122.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4976	5359
1	4976	5359

prune191.0ms (4.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	205	0	205
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	205	8	213

Error

Counts

213 → 8

Compiler

Compiled 5938 to 1391 computations (76.6% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

6.9b	(*.f64 (-.f64 y x) (/.f64 z t))
8.3b	(cbrt.f64 (*.f64 (-.f64 y x) (/.f64 z t)))
8.3b	(cbrt.f64 (*.f64 (-.f64 y x) (/.f64 z t)))
8.3b	(cbrt.f64 (*.f64 (-.f64 y x) (/.f64 z t)))

rewrite36.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_14081`
15×	`cbrt-div_binary64_14091`
14×	`*-un-lft-identity_binary64_14059`
13×	`associate-r_binary64_13999`
12×	`add-cube-cbrt_binary64_14094`
10×	`times-frac_binary64_14065`
9×	`add-cbrt-cube_binary64_14095` `add-exp-log_binary64_14097`
8×	`frac-times_binary64_14069` `flip--_binary64_14034` `associate-*l/_binary64_14002` `flip3--_binary64_14063`
6×	`pow1_binary64_14120`
5×	`associate-l_binary64_14000`
4×	`add-log-exp_binary64_14098` `associate-*r/_binary64_14001`
3×	`cbrt-prod_binary64_14090` `pow1/3_binary64_14141`
2×	`prod-exp_binary64_14108` `cbrt-unprod_binary64_14092` `unswap-sqr_binary64_14027`
1×	`div-exp_binary64_14110` `*-commutative_binary64_13990` `div-inv_binary64_14056` `cbrt-undiv_binary64_14093` `pow-prod-down_binary64_14130` `difference-of-squares_binary64_14028` `distribute-lft-out--_binary64_14011`

Counts

4 → 80

Calls

4 calls:

10.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
6.0ms	(cbrt.f64 (*.f64 (-.f64 y x) (/.f64 z t)))
6.0ms	(cbrt.f64 (*.f64 (-.f64 y x) (/.f64 z t)))
6.0ms	(cbrt.f64 (*.f64 (-.f64 y x) (/.f64 z t)))

series567.0ms (13.3%)

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt.f64 (*.f64 (-.f64 y x) (/.f64 z t)))
172.0ms	(cbrt.f64 (*.f64 (-.f64 y x) (/.f64 z t)))
167.0ms	(cbrt.f64 (*.f64 (-.f64 y x) (/.f64 z t)))
50.0ms	(*.f64 (-.f64 y x) (/.f64 z t))

simplify64.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5020	1593

prune90.0ms (2.1%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	92	8	100

Error

Counts

100 → 8

Compiler

Compiled 3201 to 557 computations (82.6% saved)

regimes221.0ms (5.2%)

Accuracy

Total 0.9b remaining (98.8%)

Threshold costs 0.9b (98.8%)

Compiler

Compiled 2344 to 1580 computations (32.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	37
1	28	37

end0.0ms (0%)

sample936.0ms (22%)

Algorithm

1×

intervals

Results

264.0ms	8000×	body	128	valid
65.0ms	2103×	body	128	invalid

Compiler

Compiled 431 to 277 computations (35.7% saved)

Details

analyze618.0ms (14.5%)

sample20.0ms (0.5%)

simplify149.0ms (3.5%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite13.0ms (0.3%)

series51.0ms (1.2%)

simplify56.0ms (1.3%)

prune46.0ms (1.1%)

localize18.0ms (0.4%)

rewrite25.0ms (0.6%)

series406.0ms (9.5%)

simplify39.0ms (0.9%)

prune79.0ms (1.9%)

localize13.0ms (0.3%)

rewrite71.0ms (1.7%)

series408.0ms (9.6%)

simplify122.0ms (2.9%)

prune191.0ms (4.5%)

localize10.0ms (0.2%)

rewrite36.0ms (0.8%)

series567.0ms (13.3%)

simplify64.0ms (1.5%)

prune90.0ms (2.1%)

regimes221.0ms (5.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample936.0ms (22%)

Profiling