Details

analyze1.1s (21.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4870	176
1	4870	176
0	5	5
1	5	5

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
2.3%	97.4%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
33.3%	66.5%	0.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample21.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	29×	body	128	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify136.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (131.0ms)

Iter	Nodes	Cost
0	4989	16
1	4989	16

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

2.6b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize13.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 z t) (-.f64 z a))
3.9b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

rewrite34.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`add-sqr-sqrt_binary64_14081`
70×	`*-un-lft-identity_binary64_14059`
51×	`times-frac_binary64_14065`
31×	`associate-r_binary64_13999`
26×	`add-cube-cbrt_binary64_14094`
22×	`difference-of-squares_binary64_14028` `distribute-lft-out--_binary64_14011`
9×	`add-cbrt-cube_binary64_14095` `add-exp-log_binary64_14097`
5×	`associate-/r_binary64_14003` `associate-/l_binary64_14004`
4×	`pow1_binary64_14120` `associate-/r/_binary64_14005`
3×	`flip--_binary64_14034` `associate-l_binary64_14000` `flip3--_binary64_14063`
2×	`add-log-exp_binary64_14098` `prod-exp_binary64_14108` `div-exp_binary64_14110` `cbrt-unprod_binary64_14092` `associate-/l/_binary64_14006` `div-inv_binary64_14056` `cbrt-undiv_binary64_14093` `unswap-sqr_binary64_14027`
1×	`frac-2neg_binary64_14070` `div-sub_binary64_14064` `-commutative_binary64_13990` `clear-num_binary64_14058` `associate-r/_binary64_14001` `pow-prod-down_binary64_14130`

Counts

2 → 102

Calls

2 calls:

15.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))
8.0ms	(/.f64 (-.f64 z t) (-.f64 z a))

series112.0ms (2.3%)

Counts

2 → 6

Calls

2 calls:

73.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))
39.0ms	(/.f64 (-.f64 z t) (-.f64 z a))

simplify73.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5179	1767

prune96.0ms (1.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	101	7	108
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	101	8	109

Error

0.0b

Counts

109 → 8

Compiler

Compiled 2105 to 478 computations (77.3% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 z a))
0.6b	(cbrt.f64 (-.f64 z a))
0.6b	(cbrt.f64 (-.f64 z a))
7.7b	(.f64 (/.f64 y (.f64 (cbrt.f64 (-.f64 z a)) (cbrt.f64 (-.f64 z a)))) (/.f64 (-.f64 z t) (cbrt.f64 (-.f64 z a))))

rewrite61.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`add-sqr-sqrt_binary64_14081`
60×	`*-un-lft-identity_binary64_14059`
50×	`times-frac_binary64_14065`
46×	`associate-r_binary64_13999`
42×	`cbrt-prod_binary64_14090`
28×	`add-cube-cbrt_binary64_14094`
25×	`add-exp-log_binary64_14097`
20×	`cbrt-div_binary64_14091`
18×	`add-cbrt-cube_binary64_14095`
16×	`difference-of-squares_binary64_14028` `distribute-lft-out--_binary64_14011`
15×	`associate-l_binary64_14000`
10×	`flip--_binary64_14034` `associate-/r/_binary64_14005` `flip3--_binary64_14063`
8×	`prod-exp_binary64_14108` `cbrt-unprod_binary64_14092`
7×	`div-exp_binary64_14110` `cbrt-undiv_binary64_14093`
6×	`pow1_binary64_14120` `unswap-sqr_binary64_14027`
5×	`frac-times_binary64_14069`
4×	`add-log-exp_binary64_14098`
3×	`associate-l/_binary64_14002` `associate-r/_binary64_14001` `pow1/3_binary64_14141`
2×	`div-inv_binary64_14056`
1×	`*-commutative_binary64_13990` `pow-prod-down_binary64_14130`

Counts

4 → 136

Calls

4 calls:

36.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 (-.f64 z a)) (cbrt.f64 (-.f64 z a)))) (/.f64 (-.f64 z t) (cbrt.f64 (-.f64 z a))))
3.0ms	(cbrt.f64 (-.f64 z a))
3.0ms	(cbrt.f64 (-.f64 z a))
3.0ms	(cbrt.f64 (-.f64 z a))

series451.0ms (9.1%)

Counts

4 → 12

Calls

4 calls:

129.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 (-.f64 z a)) (cbrt.f64 (-.f64 z a)))) (/.f64 (-.f64 z t) (cbrt.f64 (-.f64 z a))))
108.0ms	(cbrt.f64 (-.f64 z a))
108.0ms	(cbrt.f64 (-.f64 z a))
105.0ms	(cbrt.f64 (-.f64 z a))

simplify74.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5096	3441

prune141.0ms (2.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	146	2	148
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	149	7	156

Error

Counts

156 → 7

Compiler

Compiled 4331 to 824 computations (81% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 y (-.f64 z a))
9.6b	(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))

rewrite30.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`add-sqr-sqrt_binary64_14081`
40×	`*-un-lft-identity_binary64_14059`
31×	`times-frac_binary64_14065`
24×	`add-cube-cbrt_binary64_14094`
21×	`associate-l_binary64_14000`
9×	`add-cbrt-cube_binary64_14095` `add-exp-log_binary64_14097`
8×	`difference-of-squares_binary64_14028` `distribute-lft-out--_binary64_14011`
6×	`cancel-sign-sub-inv_binary64_14025`
5×	`associate-r_binary64_13999` `associate-/r*_binary64_14003`
4×	`distribute-rgt-in_binary64_14009` `flip--_binary64_14034` `distribute-lft-in_binary64_14008` `pow1_binary64_14120` `associate-/r/_binary64_14005` `flip3--_binary64_14063`
3×	`associate-/l*_binary64_14004`
2×	`frac-times_binary64_14069` `add-log-exp_binary64_14098` `prod-exp_binary64_14108` `div-exp_binary64_14110` `cbrt-unprod_binary64_14092` `div-inv_binary64_14056` `cbrt-undiv_binary64_14093` `unswap-sqr_binary64_14027` `associate-*r/_binary64_14001` `sub-neg_binary64_14052`
1×	`frac-2neg_binary64_14070` `associate-l/_binary64_14002` `-commutative_binary64_13990` `clear-num_binary64_14058` `pow-prod-down_binary64_14130`

Counts

2 → 91

Calls

2 calls:

14.0ms	(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))
8.0ms	(/.f64 y (-.f64 z a))

series143.0ms (2.9%)

Counts

2 → 6

Calls

2 calls:

113.0ms	(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))
30.0ms	(/.f64 y (-.f64 z a))

simplify54.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5040	1458

prune81.0ms (1.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	97	7	104

Error

Counts

104 → 7

Compiler

Compiled 1964 to 648 computations (67% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 z a) (-.f64 z t))
0.4b	(/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))
3.9b	(*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t))))

rewrite100.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

392×	`times-frac_binary64_14065`
335×	`add-sqr-sqrt_binary64_14081`
323×	`*-un-lft-identity_binary64_14059`
157×	`add-cube-cbrt_binary64_14094`
98×	`associate-r_binary64_13999`
82×	`difference-of-squares_binary64_14028` `distribute-lft-out--_binary64_14011`
36×	`associate-/r*_binary64_14003`
35×	`add-exp-log_binary64_14097`
19×	`add-cbrt-cube_binary64_14095`
18×	`associate-/r/_binary64_14005`
15×	`div-exp_binary64_14110`
10×	`div-inv_binary64_14056`
9×	`flip--_binary64_14034` `flip3--_binary64_14063`
8×	`associate-/l*_binary64_14004`
7×	`prod-exp_binary64_14108` `cbrt-undiv_binary64_14093`
6×	`pow1_binary64_14120`
5×	`unswap-sqr_binary64_14027`
4×	`rec-exp_binary64_14109` `1-exp_binary64_14103`
3×	`add-log-exp_binary64_14098` `cbrt-unprod_binary64_14092` `associate-l_binary64_14000`
2×	`frac-2neg_binary64_14070` `associate-/l/_binary64_14006` `clear-num_binary64_14058`
1×	`div-sub_binary64_14064` `pow-flip_binary64_14133` `-commutative_binary64_13990` `un-div-inv_binary64_14057` `associate-r/_binary64_14001` `pow-prod-down_binary64_14130` `inv-pow_binary64_14144`

Counts

3 → 327

Calls

3 calls:

39.0ms	(*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t))))
13.0ms	(/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))
8.0ms	(/.f64 (-.f64 z a) (-.f64 z t))

series223.0ms (4.5%)

Counts

3 → 9

Calls

3 calls:

127.0ms	(*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t))))
64.0ms	(/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))
32.0ms	(/.f64 (-.f64 z a) (-.f64 z t))

simplify91.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

336 → 336

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5027	6729

prune263.0ms (5.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	335	1	336
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	337	6	343

Error

Counts

343 → 6

Compiler

Compiled 7397 to 1997 computations (73% saved)

regimes533.0ms (10.8%)

Accuracy

Total 1.3b remaining (99.9%)

Threshold costs 0b (0%)

Compiler

Compiled 4576 to 3219 computations (29.7% saved)

bsearch2.0ms (0%)

Compiler: Compiled 11 to 10 computations (9.1% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	108
1	51	108

end0.0ms (0%)

sample1.1s (22.7%)

Algorithm

1×

intervals

Results

307.0ms	7999×	body	128	valid
31.0ms	732×	body	128	invalid
0.0ms	1×	body	1024	valid

Compiler

Compiled 620 to 413 computations (33.4% saved)

Details

analyze1.1s (21.4%)

sample21.0ms (0.4%)

simplify136.0ms (2.8%)

prune2.0ms (0%)

localize13.0ms (0.3%)

rewrite34.0ms (0.7%)

series112.0ms (2.3%)

simplify73.0ms (1.5%)

prune96.0ms (1.9%)

localize12.0ms (0.2%)

rewrite61.0ms (1.2%)

series451.0ms (9.1%)

simplify74.0ms (1.5%)

prune141.0ms (2.9%)

localize9.0ms (0.2%)

rewrite30.0ms (0.6%)

series143.0ms (2.9%)

simplify54.0ms (1.1%)

prune81.0ms (1.6%)

localize9.0ms (0.2%)

rewrite100.0ms (2%)

series223.0ms (4.5%)

simplify91.0ms (1.8%)

prune263.0ms (5.3%)

regimes533.0ms (10.8%)

bsearch2.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.1s (22.7%)

Profiling