Details

analyze914.0ms (19.7%)

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
0%	99.8%	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
26.2%	73.6%	0.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample22.0ms (0.5%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	22×	body	128	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify373.0ms (8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (279.0ms)

Iter	Nodes	Cost
0	5693	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

12.6b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t)))
0.0b	(*.f64 y (-.f64 z t))
13.2b	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))

rewrite36.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`*-un-lft-identity_binary64_15082` `add-sqr-sqrt_binary64_15104`
10×	`add-cbrt-cube_binary64_15118` `add-exp-log_binary64_15120`
9×	`add-cube-cbrt_binary64_15117`
6×	`cancel-sign-sub-inv_binary64_15048`
5×	`times-frac_binary64_15088` `pow1_binary64_15143` `add-log-exp_binary64_15121` `associate-/r_binary64_15026` `associate-r*_binary64_15022`
4×	`distribute-rgt-in_binary64_15032` `distribute-lft-in_binary64_15031` `associate-*r/_binary64_15024`
3×	`distribute-lft-out--_binary64_15034` `flip3--_binary64_15086` `difference-of-squares_binary64_15051` `associate-l_binary64_15023` `flip--_binary64_15057`
2×	`div-exp_binary64_15133` `associate-/l/_binary64_15029` `prod-exp_binary64_15131` `cbrt-unprod_binary64_15115` `cbrt-undiv_binary64_15116` `sub-neg_binary64_15075` `associate-/r/_binary64_15028`
1×	`pow-prod-down_binary64_15153` `unswap-sqr_binary64_15050` `sum-log_binary64_15173` `frac-2neg_binary64_15093` `clear-num_binary64_15081` `flip-+_binary64_15056` `+-commutative_binary64_15012` `div-inv_binary64_15079` `-commutative_binary64_15013` `distribute-lft-out_binary64_15033` `associate-/l_binary64_15027` `flip3-+_binary64_15085`

Counts

3 → 71

Calls

3 calls:

13.0ms	(*.f64 y (-.f64 z t))
11.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))
8.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t)))

series235.0ms (5.1%)

Counts

3 → 9

Calls

3 calls:

125.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t)))
79.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))
31.0ms	(*.f64 y (-.f64 z t))

simplify60.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4983	1097
1	4983	1097

prune65.0ms (1.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	76	4	80
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	76	5	81

Error

0.0b

Counts

81 → 5

Compiler

Compiled 1308 to 310 computations (76.3% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
0.0b	(/.f64 (-.f64 a t) (-.f64 z t))
1.5b	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))

rewrite74.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

218×	`times-frac_binary64_15088`
197×	`*-un-lft-identity_binary64_15082`
195×	`add-sqr-sqrt_binary64_15104`
91×	`add-cube-cbrt_binary64_15117`
52×	`distribute-lft-out--_binary64_15034` `difference-of-squares_binary64_15051`
36×	`associate-/r*_binary64_15026`
11×	`associate-/r/_binary64_15028`
10×	`add-cbrt-cube_binary64_15118` `add-exp-log_binary64_15120`
8×	`associate-/l*_binary64_15027`
6×	`flip3--_binary64_15086` `div-inv_binary64_15079` `flip--_binary64_15057`
5×	`add-log-exp_binary64_15121`
4×	`div-exp_binary64_15133` `cbrt-undiv_binary64_15116`
3×	`pow1_binary64_15143`
2×	`associate-/l/_binary64_15029` `frac-2neg_binary64_15093` `clear-num_binary64_15081`
1×	`sum-log_binary64_15173` `div-sub_binary64_15087` `flip-+_binary64_15056` `+-commutative_binary64_15012` `distribute-lft-out_binary64_15033` `flip3-+_binary64_15085`

Counts

3 → 206

Calls

3 calls:

29.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
12.0ms	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))
11.0ms	(/.f64 (-.f64 a t) (-.f64 z t))

series357.0ms (7.7%)

Counts

3 → 9

Calls

3 calls:

164.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
147.0ms	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))
46.0ms	(/.f64 (-.f64 a t) (-.f64 z t))

simplify100.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4992	5201
1	4992	5201

prune154.0ms (3.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	211	4	215
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	214	6	220

Error

Counts

220 → 6

Compiler

Compiled 4572 to 771 computations (83.1% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
0.0b	(/.f64 (-.f64 z t) (-.f64 a t))
1.6b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

rewrite40.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`add-sqr-sqrt_binary64_15104`
71×	`*-un-lft-identity_binary64_15082`
51×	`times-frac_binary64_15088`
31×	`associate-r_binary64_15022`
27×	`add-cube-cbrt_binary64_15117`
22×	`distribute-lft-out--_binary64_15034` `difference-of-squares_binary64_15051`
10×	`add-cbrt-cube_binary64_15118` `add-exp-log_binary64_15120`
5×	`pow1_binary64_15143` `add-log-exp_binary64_15121` `associate-/r_binary64_15026` `associate-/l_binary64_15027`
4×	`associate-/r/_binary64_15028`
3×	`flip3--_binary64_15086` `associate-l_binary64_15023` `flip--_binary64_15057`
2×	`div-exp_binary64_15133` `associate-/l/_binary64_15029` `unswap-sqr_binary64_15050` `prod-exp_binary64_15131` `cbrt-unprod_binary64_15115` `cbrt-undiv_binary64_15116` `div-inv_binary64_15079`
1×	`pow-prod-down_binary64_15153` `sum-log_binary64_15173` `frac-2neg_binary64_15093` `div-sub_binary64_15087` `clear-num_binary64_15081` `flip-+_binary64_15056` `+-commutative_binary64_15012` `-commutative_binary64_15013` `associate-r/_binary64_15024` `flip3-+_binary64_15085`

Counts

3 → 113

Calls

3 calls:

15.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
8.0ms	(/.f64 (-.f64 z t) (-.f64 a t))
7.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))

series238.0ms (5.1%)

Counts

3 → 9

Calls

3 calls:

118.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
80.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
40.0ms	(/.f64 (-.f64 z t) (-.f64 a t))

simplify64.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5160	2068

prune81.0ms (1.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	122	6	128

Error

Counts

128 → 6

Compiler

Compiled 2284 to 477 computations (79.1% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 (/.f64 y (-.f64 a t)) (-.f64 z t)))
0.0b	(/.f64 y (-.f64 a t))
11.3b	(*.f64 (/.f64 y (-.f64 a t)) (-.f64 z t))

rewrite32.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`add-sqr-sqrt_binary64_15104`
43×	`*-un-lft-identity_binary64_15082`
31×	`times-frac_binary64_15088`
27×	`add-cube-cbrt_binary64_15117`
21×	`associate-l_binary64_15023`
12×	`cancel-sign-sub-inv_binary64_15048`
10×	`add-cbrt-cube_binary64_15118` `add-exp-log_binary64_15120`
8×	`distribute-rgt-in_binary64_15032` `distribute-lft-out--_binary64_15034` `difference-of-squares_binary64_15051` `distribute-lft-in_binary64_15031` `associate-+r+_binary64_15014`
5×	`pow1_binary64_15143` `add-log-exp_binary64_15121` `associate-/r_binary64_15026` `associate-r*_binary64_15022`
4×	`flip3--_binary64_15086` `sub-neg_binary64_15075` `flip--_binary64_15057` `associate-/r/_binary64_15028`
3×	`associate-/l*_binary64_15027`
2×	`div-exp_binary64_15133` `unswap-sqr_binary64_15050` `frac-times_binary64_15092` `prod-exp_binary64_15131` `cbrt-unprod_binary64_15115` `cbrt-undiv_binary64_15116` `div-inv_binary64_15079` `associate-*r/_binary64_15024`
1×	`pow-prod-down_binary64_15153` `sum-log_binary64_15173` `frac-2neg_binary64_15093` `clear-num_binary64_15081` `flip-+_binary64_15056` `+-commutative_binary64_15012` `-commutative_binary64_15013` `associate-l/_binary64_15025` `flip3-+_binary64_15085`

Counts

3 → 110

Calls

3 calls:

13.0ms	(*.f64 (/.f64 y (-.f64 a t)) (-.f64 z t))
5.0ms	(/.f64 y (-.f64 a t))
4.0ms	(+.f64 x (*.f64 (/.f64 y (-.f64 a t)) (-.f64 z t)))

series330.0ms (7.1%)

Counts

3 → 9

Calls

3 calls:

156.0ms	(+.f64 x (*.f64 (/.f64 y (-.f64 a t)) (-.f64 z t)))
143.0ms	(*.f64 (/.f64 y (-.f64 a t)) (-.f64 z t))
31.0ms	(/.f64 y (-.f64 a t))

simplify64.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5544	1874

prune78.0ms (1.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	119	6	125

Error

Counts

125 → 6

Compiler

Compiled 2116 to 440 computations (79.2% saved)

regimes282.0ms (6.1%)

Accuracy

Total 1.2b remaining (99.8%)

Threshold costs 0b (0%)

Compiler

Compiled 2399 to 1932 computations (19.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	16
1	24	16

end0.0ms (0%)

sample1.0s (21.7%)

Algorithm

1×

intervals

Results

326.0ms	7998×	body	128	valid
28.0ms	750×	body	128	invalid
0.0ms	1×	body	2048	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 358 to 290 computations (19% saved)

Details

analyze914.0ms (19.7%)

sample22.0ms (0.5%)

simplify373.0ms (8%)

prune2.0ms (0%)

localize8.0ms (0.2%)

rewrite36.0ms (0.8%)

series235.0ms (5.1%)

simplify60.0ms (1.3%)

prune65.0ms (1.4%)

localize8.0ms (0.2%)

rewrite74.0ms (1.6%)

series357.0ms (7.7%)

simplify100.0ms (2.2%)

prune154.0ms (3.3%)

localize8.0ms (0.2%)

rewrite40.0ms (0.9%)

series238.0ms (5.1%)

simplify64.0ms (1.4%)

prune81.0ms (1.7%)

localize11.0ms (0.2%)

rewrite32.0ms (0.7%)

series330.0ms (7.1%)

simplify64.0ms (1.4%)

prune78.0ms (1.7%)

regimes282.0ms (6.1%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.0s (21.7%)

Profiling