Details

analyze918.0ms (15.1%)

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 (0.4%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	24×	body	128	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify319.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (144.0ms)

Iter	Nodes	Cost
0	5714	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

Merged error: 10.3b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 y (-.f64 z t))
0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t)))
9.9b	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))

rewrite33.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_16269` `*-un-lft-identity_binary64_16247`
10×	`add-exp-log_binary64_16285` `add-cbrt-cube_binary64_16283`
9×	`add-cube-cbrt_binary64_16282`
6×	`cancel-sign-sub-inv_binary64_16213`
5×	`add-log-exp_binary64_16286` `times-frac_binary64_16253` `pow1_binary64_16308` `associate-/r_binary64_16191` `associate-r*_binary64_16187`
4×	`associate-*r/_binary64_16189` `distribute-lft-in_binary64_16196` `distribute-rgt-in_binary64_16197`
3×	`flip3--_binary64_16251` `difference-of-squares_binary64_16216` `flip--_binary64_16222` `associate-l_binary64_16188` `distribute-lft-out--_binary64_16199`
2×	`cbrt-unprod_binary64_16280` `prod-exp_binary64_16296` `sub-neg_binary64_16240` `associate-/r/_binary64_16193` `associate-/l/_binary64_16194` `div-exp_binary64_16298` `cbrt-undiv_binary64_16281`
1×	`pow-prod-down_binary64_16318` `clear-num_binary64_16246` `associate-/l_binary64_16192` `distribute-lft-out_binary64_16198` `frac-2neg_binary64_16258` `flip3-+_binary64_16250` `sum-log_binary64_16338` `unswap-sqr_binary64_16215` `-commutative_binary64_16178` `div-inv_binary64_16244` `flip-+_binary64_16221` `+-commutative_binary64_16177`

Counts

3 → 71

Calls

3 calls:

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

series517.0ms (8.5%)

Counts

3 → 9

Calls

3 calls:

265.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t)))
186.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))
65.0ms	(*.f64 y (-.f64 z t))

simplify58.0ms (1%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5675	1097

prune126.0ms (2.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	75	5	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	5	81

Merged error: 0.0b

Counts

81 → 5

Compiler

Compiled 2414 to 1036 computations (57.1% saved)

localize8.0ms (0.1%)

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))
2.2b	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))

rewrite84.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

218×	`times-frac_binary64_16253`
197×	`*-un-lft-identity_binary64_16247`
195×	`add-sqr-sqrt_binary64_16269`
91×	`add-cube-cbrt_binary64_16282`
52×	`difference-of-squares_binary64_16216` `distribute-lft-out--_binary64_16199`
36×	`associate-/r*_binary64_16191`
11×	`associate-/r/_binary64_16193`
10×	`add-exp-log_binary64_16285` `add-cbrt-cube_binary64_16283`
8×	`associate-/l*_binary64_16192`
6×	`flip3--_binary64_16251` `flip--_binary64_16222` `div-inv_binary64_16244`
5×	`add-log-exp_binary64_16286`
4×	`div-exp_binary64_16298` `cbrt-undiv_binary64_16281`
3×	`pow1_binary64_16308`
2×	`clear-num_binary64_16246` `frac-2neg_binary64_16258` `associate-/l/_binary64_16194`
1×	`distribute-lft-out_binary64_16198` `div-sub_binary64_16252` `flip3-+_binary64_16250` `sum-log_binary64_16338` `flip-+_binary64_16221` `+-commutative_binary64_16177`

Counts

3 → 206

Calls

3 calls:

35.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
14.0ms	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))
9.0ms	(/.f64 (-.f64 a t) (-.f64 z t))

series766.0ms (12.6%)

Counts

3 → 9

Calls

3 calls:

346.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
322.0ms	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))
97.0ms	(/.f64 (-.f64 a t) (-.f64 z t))

simplify99.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5088	5201

prune187.0ms (3.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	213	2	215
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	214	6	220

Merged error: 0b

Counts

220 → 6

Compiler

Compiled 5151 to 1150 computations (77.7% saved)

localize11.0ms (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))
2.2b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

rewrite42.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`add-sqr-sqrt_binary64_16269`
71×	`*-un-lft-identity_binary64_16247`
51×	`times-frac_binary64_16253`
31×	`associate-r_binary64_16187`
27×	`add-cube-cbrt_binary64_16282`
22×	`difference-of-squares_binary64_16216` `distribute-lft-out--_binary64_16199`
10×	`add-exp-log_binary64_16285` `add-cbrt-cube_binary64_16283`
5×	`add-log-exp_binary64_16286` `associate-/l_binary64_16192` `pow1_binary64_16308` `associate-/r_binary64_16191`
4×	`associate-/r/_binary64_16193`
3×	`flip3--_binary64_16251` `flip--_binary64_16222` `associate-l_binary64_16188`
2×	`cbrt-unprod_binary64_16280` `prod-exp_binary64_16296` `associate-/l/_binary64_16194` `unswap-sqr_binary64_16215` `div-exp_binary64_16298` `div-inv_binary64_16244` `cbrt-undiv_binary64_16281`
1×	`pow-prod-down_binary64_16318` `clear-num_binary64_16246` `div-sub_binary64_16252` `frac-2neg_binary64_16258` `flip3-+_binary64_16250` `sum-log_binary64_16338` `-commutative_binary64_16178` `associate-r/_binary64_16189` `flip-+_binary64_16221` `+-commutative_binary64_16177`

Counts

3 → 113

Calls

3 calls:

17.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
10.0ms	(/.f64 (-.f64 z t) (-.f64 a t))
4.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))

series539.0ms (8.8%)

Counts

3 → 9

Calls

3 calls:

266.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
178.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
95.0ms	(/.f64 (-.f64 z t) (-.f64 a t))

simplify78.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	6265	2068

prune92.0ms (1.5%)

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

Merged error: 0b

Counts

128 → 6

Compiler

Compiled 2303 to 476 computations (79.3% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 z t))
0.5b	(cbrt.f64 (-.f64 z t))
0.5b	(cbrt.f64 (-.f64 z t))
7.5b	(.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (/.f64 y (/.f64 (-.f64 a t) (cbrt.f64 (-.f64 z t)))))

rewrite116.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

263×	`times-frac_binary64_16253`
204×	`add-sqr-sqrt_binary64_16269`
195×	`*-un-lft-identity_binary64_16247`
143×	`associate-r_binary64_16187`
111×	`add-cube-cbrt_binary64_16282`
91×	`cbrt-prod_binary64_16278`
42×	`difference-of-squares_binary64_16216` `distribute-lft-out--_binary64_16199`
36×	`cbrt-div_binary64_16279`
25×	`add-exp-log_binary64_16285`
18×	`flip3--_binary64_16251` `flip--_binary64_16222`
17×	`add-cbrt-cube_binary64_16283`
16×	`frac-times_binary64_16257`
12×	`associate-*l/_binary64_16190`
9×	`cbrt-unprod_binary64_16280` `pow1_binary64_16308` `prod-exp_binary64_16296`
7×	`associate-/r/_binary64_16193`
6×	`div-exp_binary64_16298` `cbrt-undiv_binary64_16281`
5×	`associate-*r/_binary64_16189`
4×	`add-log-exp_binary64_16286` `unswap-sqr_binary64_16215` `div-inv_binary64_16244`
3×	`pow-prod-down_binary64_16318` `pow1/3_binary64_16329`
1×	`-commutative_binary64_16178` `associate-l*_binary64_16188`

Counts

4 → 232

Calls

4 calls:

64.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (/.f64 y (/.f64 (-.f64 a t) (cbrt.f64 (-.f64 z t)))))
4.0ms	(cbrt.f64 (-.f64 z t))
4.0ms	(cbrt.f64 (-.f64 z t))
3.0ms	(cbrt.f64 (-.f64 z t))

series788.0ms (12.9%)

Counts

4 → 12

Calls

4 calls:

209.0ms	(cbrt.f64 (-.f64 z t))
208.0ms	(cbrt.f64 (-.f64 z t))
208.0ms	(cbrt.f64 (-.f64 z t))
163.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (/.f64 y (/.f64 (-.f64 a t) (cbrt.f64 (-.f64 z t)))))

simplify135.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

244 → 244

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4975	7142
1	4975	7142

prune231.0ms (3.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	244	0	244
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	244	6	250

Merged error: 0b

Counts

250 → 6

Compiler

Compiled 8007 to 1230 computations (84.6% saved)

regimes122.0ms (2%)

Compiler: Compiled 640 to 476 computations (25.6% saved)

bsearch1.0ms (0%)

Compiler: Compiled 9 to 9 computations (0% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	87
1	45	87

end0.0ms (0%)

sample783.0ms (12.8%)

Algorithm

1×

intervals

Results

317.0ms	7999×	body	128	valid
31.0ms	716×	body	128	invalid
0.0ms	1×	body	2048	valid

Compiler

Compiled 184 to 119 computations (35.3% saved)

Details

analyze918.0ms (15.1%)

sample22.0ms (0.4%)

simplify319.0ms (5.2%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite33.0ms (0.5%)

series517.0ms (8.5%)

simplify58.0ms (1%)

prune126.0ms (2.1%)

localize8.0ms (0.1%)

rewrite84.0ms (1.4%)

series766.0ms (12.6%)

simplify99.0ms (1.6%)

prune187.0ms (3.1%)

localize11.0ms (0.2%)

rewrite42.0ms (0.7%)

series539.0ms (8.8%)

simplify78.0ms (1.3%)

prune92.0ms (1.5%)

localize12.0ms (0.2%)

rewrite116.0ms (1.9%)

series788.0ms (12.9%)

simplify135.0ms (2.2%)

prune231.0ms (3.8%)

regimes122.0ms (2%)

bsearch1.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample783.0ms (12.8%)

Profiling