Details

analyze1.3s (15.3%)

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
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)

sample29.0ms (0.4%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
1.0ms	18×	body	128	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify336.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (130.0ms)

Iter	Nodes	Cost
0	5035	16

prune4.0ms (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: 1.8b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
0.0b	(/.f64 (-.f64 z t) (-.f64 z a))
2.7b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

rewrite69.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`add-sqr-sqrt_binary64_13399`
71×	`*-un-lft-identity_binary64_13377`
51×	`times-frac_binary64_13383`
31×	`associate-r_binary64_13317`
27×	`add-cube-cbrt_binary64_13412`
22×	`distribute-lft-out--_binary64_13329` `difference-of-squares_binary64_13346`
10×	`add-exp-log_binary64_13415` `add-cbrt-cube_binary64_13413`
5×	`associate-/r_binary64_13321` `pow1_binary64_13438` `add-log-exp_binary64_13416` `associate-/l_binary64_13322`
4×	`associate-/r/_binary64_13323`
3×	`flip3--_binary64_13381` `flip--_binary64_13352` `associate-l_binary64_13318`
2×	`prod-exp_binary64_13426` `associate-/l/_binary64_13324` `div-inv_binary64_13374` `cbrt-unprod_binary64_13410` `unswap-sqr_binary64_13345` `div-exp_binary64_13428` `cbrt-undiv_binary64_13411`
1×	`+-commutative_binary64_13307` `clear-num_binary64_13376` `sum-log_binary64_13468` `pow-prod-down_binary64_13448` `-commutative_binary64_13308` `div-sub_binary64_13382` `associate-r/_binary64_13319` `frac-2neg_binary64_13388` `flip-+_binary64_13351` `flip3-+_binary64_13380`

Counts

3 → 113

Calls

3 calls:

19.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))
14.0ms	(/.f64 (-.f64 z t) (-.f64 z a))
7.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))

series629.0ms (7.7%)

Counts

3 → 9

Calls

3 calls:

335.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
214.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))
80.0ms	(/.f64 (-.f64 z t) (-.f64 z a))

simplify96.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	6355	2068

prune146.0ms (1.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	116	6	122
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	116	7	123

Merged error: 0b

Counts

123 → 7

Compiler

Compiled 2311 to 499 computations (78.4% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))))
0.0b	(/.f64 (-.f64 z a) (-.f64 z t))
0.5b	(/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))
2.7b	(*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t))))

rewrite172.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

392×	`times-frac_binary64_13383`
336×	`add-sqr-sqrt_binary64_13399`
324×	`*-un-lft-identity_binary64_13377`
158×	`add-cube-cbrt_binary64_13412`
98×	`associate-r_binary64_13317`
82×	`distribute-lft-out--_binary64_13329` `difference-of-squares_binary64_13346`
36×	`associate-/r*_binary64_13321` `add-exp-log_binary64_13415`
20×	`add-cbrt-cube_binary64_13413`
18×	`associate-/r/_binary64_13323`
15×	`div-exp_binary64_13428`
10×	`div-inv_binary64_13374`
9×	`flip3--_binary64_13381` `flip--_binary64_13352`
8×	`associate-/l*_binary64_13322`
7×	`prod-exp_binary64_13426` `pow1_binary64_13438` `cbrt-undiv_binary64_13411`
6×	`add-log-exp_binary64_13416`
5×	`unswap-sqr_binary64_13345`
4×	`rec-exp_binary64_13427` `1-exp_binary64_13421`
3×	`cbrt-unprod_binary64_13410` `associate-l_binary64_13318`
2×	`associate-/l/_binary64_13324` `clear-num_binary64_13376` `frac-2neg_binary64_13388`
1×	`+-commutative_binary64_13307` `pow-flip_binary64_13451` `sum-log_binary64_13468` `inv-pow_binary64_13462` `un-div-inv_binary64_13375` `pow-prod-down_binary64_13448` `-commutative_binary64_13308` `div-sub_binary64_13382` `associate-r/_binary64_13319` `flip-+_binary64_13351` `flip3-+_binary64_13380`

Counts

4 → 338

Calls

4 calls:

51.0ms	(*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t))))
29.0ms	(/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))
24.0ms	(/.f64 (-.f64 z a) (-.f64 z t))
6.0ms	(+.f64 x (*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))))

series876.0ms (10.7%)

Counts

4 → 12

Calls

4 calls:

343.0ms	(*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t))))
288.0ms	(+.f64 x (*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))))
160.0ms	(/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))
86.0ms	(/.f64 (-.f64 z a) (-.f64 z t))

simplify135.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

350 → 350

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5290	7030

prune381.0ms (4.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	348	2	350
Fresh	2	3	5
Picked	1	0	1
Done	1	0	1
Total	352	5	357

Merged error: 0b

Counts

357 → 5

Compiler

Compiled 7720 to 2103 computations (72.8% saved)

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))))
0.0b	(/.f64 (-.f64 z a) (-.f64 z t))
3.0b	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))

rewrite94.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

218×	`times-frac_binary64_13383`
197×	`*-un-lft-identity_binary64_13377`
195×	`add-sqr-sqrt_binary64_13399`
91×	`add-cube-cbrt_binary64_13412`
52×	`distribute-lft-out--_binary64_13329` `difference-of-squares_binary64_13346`
36×	`associate-/r*_binary64_13321`
11×	`associate-/r/_binary64_13323`
10×	`add-exp-log_binary64_13415` `add-cbrt-cube_binary64_13413`
8×	`associate-/l*_binary64_13322`
6×	`div-inv_binary64_13374` `flip3--_binary64_13381` `flip--_binary64_13352`
5×	`add-log-exp_binary64_13416`
4×	`div-exp_binary64_13428` `cbrt-undiv_binary64_13411`
3×	`pow1_binary64_13438`
2×	`associate-/l/_binary64_13324` `clear-num_binary64_13376` `frac-2neg_binary64_13388`
1×	`+-commutative_binary64_13307` `sum-log_binary64_13468` `distribute-lft-out_binary64_13328` `div-sub_binary64_13382` `flip-+_binary64_13351` `flip3-+_binary64_13380`

Counts

3 → 206

Calls

3 calls:

37.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))))
20.0ms	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))
10.0ms	(/.f64 (-.f64 z a) (-.f64 z t))

series704.0ms (8.6%)

Counts

3 → 9

Calls

3 calls:

327.0ms	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))
281.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))))
96.0ms	(/.f64 (-.f64 z a) (-.f64 z t))

simplify107.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5119	5192

prune188.0ms (2.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	215	0	215
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	215	5	220

Merged error: 0b

Counts

220 → 5

Compiler

Compiled 4552 to 763 computations (83.2% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t)))
0.0b	(/.f64 y (-.f64 z a))
11.6b	(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))

rewrite50.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`add-sqr-sqrt_binary64_13399`
43×	`*-un-lft-identity_binary64_13377`
31×	`times-frac_binary64_13383`
27×	`add-cube-cbrt_binary64_13412`
21×	`associate-l_binary64_13318`
12×	`cancel-sign-sub-inv_binary64_13343`
10×	`add-exp-log_binary64_13415` `add-cbrt-cube_binary64_13413`
8×	`distribute-rgt-in_binary64_13327` `distribute-lft-out--_binary64_13329` `associate-+r+_binary64_13309` `distribute-lft-in_binary64_13326` `difference-of-squares_binary64_13346`
5×	`associate-r_binary64_13317` `associate-/r*_binary64_13321` `pow1_binary64_13438` `add-log-exp_binary64_13416`
4×	`flip3--_binary64_13381` `flip--_binary64_13352` `associate-/r/_binary64_13323` `sub-neg_binary64_13370`
3×	`associate-/l*_binary64_13322`
2×	`prod-exp_binary64_13426` `div-inv_binary64_13374` `cbrt-unprod_binary64_13410` `unswap-sqr_binary64_13345` `frac-times_binary64_13387` `div-exp_binary64_13428` `cbrt-undiv_binary64_13411` `associate-*r/_binary64_13319`
1×	`+-commutative_binary64_13307` `clear-num_binary64_13376` `sum-log_binary64_13468` `associate-l/_binary64_13320` `pow-prod-down_binary64_13448` `-commutative_binary64_13308` `frac-2neg_binary64_13388` `flip-+_binary64_13351` `flip3-+_binary64_13380`

Counts

3 → 110

Calls

3 calls:

18.0ms	(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))
11.0ms	(/.f64 y (-.f64 z a))
10.0ms	(+.f64 x (*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t)))

series767.0ms (9.4%)

Counts

3 → 9

Calls

3 calls:

343.0ms	(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))
334.0ms	(+.f64 x (*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t)))
90.0ms	(/.f64 y (-.f64 z a))

simplify73.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4965	1863
1	4965	1863

prune108.0ms (1.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	119	5	124

Merged error: 0b

Counts

124 → 5

Compiler

Compiled 2109 to 441 computations (79.1% saved)

regimes575.0ms (7%)

Compiler: Compiled 2988 to 2399 computations (19.7% saved)

bsearch68.0ms (0.8%)

Steps

Iters	Range		Point
8	4.18633068019901e-79	2.012977684548102e-74	1.2024395009174756e-76
10	-4.297147264691031e+59	-1.311790332210554e+49	-1.3317419386399715e+49

Compiler

Compiled 1 to 5 computations (-400% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	59	66
1	59	66

end0.0ms (0%)

sample1.3s (15.7%)

Algorithm

1×

intervals

Results

425.0ms	7998×	body	128	valid
46.0ms	719×	body	128	invalid
0.0ms	2×	body	512	valid

Compiler

Compiled 399 to 310 computations (22.3% saved)

Details

analyze1.3s (15.3%)

sample29.0ms (0.4%)

simplify336.0ms (4.1%)

prune4.0ms (0%)

localize12.0ms (0.1%)

rewrite69.0ms (0.8%)

series629.0ms (7.7%)

simplify96.0ms (1.2%)

prune146.0ms (1.8%)

localize11.0ms (0.1%)

rewrite172.0ms (2.1%)

series876.0ms (10.7%)

simplify135.0ms (1.6%)

prune381.0ms (4.6%)

localize16.0ms (0.2%)

rewrite94.0ms (1.2%)

series704.0ms (8.6%)

simplify107.0ms (1.3%)

prune188.0ms (2.3%)

localize8.0ms (0.1%)

rewrite50.0ms (0.6%)

series767.0ms (9.4%)

simplify73.0ms (0.9%)

prune108.0ms (1.3%)

regimes575.0ms (7%)

bsearch68.0ms (0.8%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample1.3s (15.7%)

Profiling