Details

analyze1.4s (3.9%)

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
1.8%	98%	0.2%	10
7.7%	92.1%	0.2%	11
10.4%	89.3%	0.2%	12
12.2%	87.5%	0.2%	13
21.9%	77.7%	0.4%	14

Compiler

Compiled 19 to 12 computations (36.8% saved)

sample36.0ms (0.1%)

Algorithm

1×

intervals

Results

14.0ms	215×	body	128	valid
2.0ms	12×	body	1024	valid
2.0ms	43×	body	128	invalid
2.0ms	13×	body	512	valid
1.0ms	12×	body	256	valid
1.0ms	4×	body	2048	valid

Compiler

Compiled 42 to 28 computations (33.3% saved)

simplify83.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

930×	`fma-def_binary64`
859×	`div-sub_binary64`
817×	`unsub-neg_binary64`
555×	`neg-mul-1_binary64`
380×	`sub-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	24	17
2	52	17
3	155	17
4	477	17
5	1268	17
6	3213	17
7	4154	17
8	4434	17
9	4965	17
10	4951	17

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

14.7b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	14.9b	(fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)
	14.9b	(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))

Compiler

Compiled 100 to 54 computations (46% saved)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 t x) (-.f64 a z))
✓	14.7b	(fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)

series96.0ms (0.3%)

Counts

2 → 108

Calls

2 calls:

67.0ms	(fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)
29.0ms	(/.f64 (-.f64 t x) (-.f64 a z))

rewrite11.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`*-un-lft-identity_binary64`
38×	`add-sqr-sqrt_binary64`
25×	`times-frac_binary64`
14×	`add-cube-cbrt_binary64`
12×	`distribute-lft-out--_binary64`

Counts

2 → 64

Calls

2 calls:

6.0ms	(/.f64 (-.f64 t x) (-.f64 a z))
0.0ms	(fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)

simplify161.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

523×	`cancel-sign-sub-inv_binary64`
479×	`sub-neg_binary64`
353×	`associate-+r+_binary64`
286×	`+-commutative_binary64`
272×	`associate-+l+_binary64`

Counts

172 → 136

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	356	6269
1	1045	6192
2	3851	6156
3	5233	6156

prune117.0ms (0.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	128	8	136
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	130	8	138

Error

0.5b

Counts

138 → 8

Alt Table

Status	Error	Program
▶	14.9b	(fma.f64 (-.f64 y z) (/.f64 (neg.f64 (-.f64 t x)) (neg.f64 (-.f64 a z))) x)
	36.0b	(-.f64 (+.f64 (/.f64 (.f64 y x) z) (+.f64 t (/.f64 (.f64 a t) z))) (+.f64 (/.f64 (.f64 y t) z) (/.f64 (.f64 a x) z)))
	31.9b	(*.f64 t (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z))))
	41.1b	(-.f64 (+.f64 t (+.f64 (/.f64 (.f64 (pow.f64 a 2) t) (pow.f64 z 2)) (+.f64 (/.f64 (.f64 y (.f64 a x)) (pow.f64 z 2)) (+.f64 (/.f64 (.f64 y x) z) (/.f64 (.f64 a t) z))))) (+.f64 (/.f64 (.f64 (pow.f64 a 2) x) (pow.f64 z 2)) (+.f64 (/.f64 (.f64 a x) z) (+.f64 (/.f64 (.f64 y t) z) (/.f64 (.f64 y (.f64 a t)) (pow.f64 z 2))))))
	15.5b	(fma.f64 (-.f64 y z) (.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))) x)
	41.4b	(*.f64 y (/.f64 (-.f64 t x) (-.f64 a z)))
	22.2b	(-.f64 (+.f64 (/.f64 (.f64 z x) (-.f64 a z)) (+.f64 (/.f64 (.f64 y t) (-.f64 a z)) x)) (+.f64 (/.f64 (.f64 y x) (-.f64 a z)) (/.f64 (.f64 t z) (-.f64 a z))))
	36.7b	(*.f64 (-.f64 (+.f64 (/.f64 z (-.f64 a z)) 1) (/.f64 y (-.f64 a z))) x)

Compiler

Compiled 4898 to 1548 computations (68.4% saved)

localize11.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (neg.f64 (-.f64 t x)) (neg.f64 (-.f64 a z)))
✓	14.7b	(fma.f64 (-.f64 y z) (/.f64 (neg.f64 (-.f64 t x)) (neg.f64 (-.f64 a z))) x)

series96.0ms (0.3%)

Counts

2 → 108

Calls

2 calls:

64.0ms	(fma.f64 (-.f64 y z) (/.f64 (neg.f64 (-.f64 t x)) (neg.f64 (-.f64 a z))) x)
31.0ms	(/.f64 (neg.f64 (-.f64 t x)) (neg.f64 (-.f64 a z)))

rewrite44.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

212×	`*-un-lft-identity_binary64`
212×	`add-sqr-sqrt_binary64`
196×	`times-frac_binary64`
150×	`distribute-lft-neg-in_binary64`
150×	`distribute-rgt-neg-in_binary64`

Counts

2 → 254

Calls

2 calls:

11.0ms	(/.f64 (neg.f64 (-.f64 t x)) (neg.f64 (-.f64 a z)))
0.0ms	(fma.f64 (-.f64 y z) (/.f64 (neg.f64 (-.f64 t x)) (neg.f64 (-.f64 a z))) x)

simplify201.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

375×	`associate-/l*_binary64`
334×	`times-frac_binary64`
274×	`associate-/r*_binary64`
268×	`associate-+l+_binary64`
175×	`associate--l+_binary64`

Counts

362 → 324

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	547	11975
1	1470	11729
2	5059	11729

prune246.0ms (0.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	324	0	324
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	324	8	332

Error

0.5b

Counts

332 → 8

Alt Table

Status	Error	Program
✓	14.9b	(fma.f64 (-.f64 y z) (/.f64 (neg.f64 (-.f64 t x)) (neg.f64 (-.f64 a z))) x)
	36.0b	(-.f64 (+.f64 (/.f64 (.f64 y x) z) (+.f64 t (/.f64 (.f64 a t) z))) (+.f64 (/.f64 (.f64 y t) z) (/.f64 (.f64 a x) z)))
	31.9b	(*.f64 t (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z))))
	41.1b	(-.f64 (+.f64 t (+.f64 (/.f64 (.f64 (pow.f64 a 2) t) (pow.f64 z 2)) (+.f64 (/.f64 (.f64 y (.f64 a x)) (pow.f64 z 2)) (+.f64 (/.f64 (.f64 y x) z) (/.f64 (.f64 a t) z))))) (+.f64 (/.f64 (.f64 (pow.f64 a 2) x) (pow.f64 z 2)) (+.f64 (/.f64 (.f64 a x) z) (+.f64 (/.f64 (.f64 y t) z) (/.f64 (.f64 y (.f64 a t)) (pow.f64 z 2))))))
▶	15.5b	(fma.f64 (-.f64 y z) (.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))) x)
	41.4b	(*.f64 y (/.f64 (-.f64 t x) (-.f64 a z)))
	22.2b	(-.f64 (+.f64 (/.f64 (.f64 z x) (-.f64 a z)) (+.f64 (/.f64 (.f64 y t) (-.f64 a z)) x)) (+.f64 (/.f64 (.f64 y x) (-.f64 a z)) (/.f64 (.f64 t z) (-.f64 a z))))
	36.7b	(*.f64 (-.f64 (+.f64 (/.f64 z (-.f64 a z)) 1) (/.f64 y (-.f64 a z))) x)

Compiler

Compiled 10006 to 2423 computations (75.8% saved)

localize12.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))))
✓	0.5b	(*.f64 (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))))
✓	7.5b	(cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))
✓	14.7b	(fma.f64 (-.f64 y z) (.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))) x)

series1.3s (3.7%)

Counts

4 → 204

Calls

4 calls:

850.0ms	(*.f64 (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))))
319.0ms	(cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))
80.0ms	(fma.f64 (-.f64 y z) (.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))) x)
48.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))))

rewrite125.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

303×	`*-un-lft-identity_binary64`
248×	`cbrt-prod_binary64`
247×	`add-sqr-sqrt_binary64`
205×	`times-frac_binary64`
96×	`distribute-lft-out--_binary64`

Counts

4 → 284

Calls

4 calls:

32.0ms	(*.f64 (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))))
29.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))))
5.0ms	(cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))
0.0ms	(fma.f64 (-.f64 y z) (.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))) x)

simplify548.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

359×	`fma-def_binary64`
257×	`associate-/l*_binary64`
223×	`associate-/r*_binary64`
201×	`associate-*r/_binary64`
184×	`times-frac_binary64`

Counts

488 → 487

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2258	36428
1	4998	36428
2	4988	36428

prune2.5s (7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	747	2	749
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	747	10	757

Error

0.5b

Counts

757 → 10

Alt Table

Status	Error	Program
✓	14.9b	(fma.f64 (-.f64 y z) (/.f64 (neg.f64 (-.f64 t x)) (neg.f64 (-.f64 a z))) x)
	36.0b	(-.f64 (+.f64 (/.f64 (.f64 y x) z) (+.f64 t (/.f64 (.f64 a t) z))) (+.f64 (/.f64 (.f64 y t) z) (/.f64 (.f64 a x) z)))
	31.9b	(*.f64 t (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z))))
	41.1b	(-.f64 (+.f64 t (+.f64 (/.f64 (.f64 (pow.f64 a 2) t) (pow.f64 z 2)) (+.f64 (/.f64 (.f64 y (.f64 a x)) (pow.f64 z 2)) (+.f64 (/.f64 (.f64 y x) z) (/.f64 (.f64 a t) z))))) (+.f64 (/.f64 (.f64 (pow.f64 a 2) x) (pow.f64 z 2)) (+.f64 (/.f64 (.f64 a x) z) (+.f64 (/.f64 (.f64 y t) z) (/.f64 (.f64 y (.f64 a t)) (pow.f64 z 2))))))
✓	15.5b	(fma.f64 (-.f64 y z) (.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))) x)
	41.4b	(*.f64 y (/.f64 (-.f64 t x) (-.f64 a z)))
	22.2b	(-.f64 (+.f64 (/.f64 (.f64 z x) (-.f64 a z)) (+.f64 (/.f64 (.f64 y t) (-.f64 a z)) x)) (+.f64 (/.f64 (.f64 y x) (-.f64 a z)) (/.f64 (.f64 t z) (-.f64 a z))))
▶	16.1b	(.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 y z) (.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))) x)) (cbrt.f64 (fma.f64 (-.f64 y z) (.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))) x))) (cbrt.f64 (fma.f64 (-.f64 y z) (.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))) x)))
	40.4b	(exp.f64 (log.f64 (fma.f64 (-.f64 y z) (.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))) x)))
	36.7b	(*.f64 (-.f64 (+.f64 (/.f64 z (-.f64 a z)) 1) (/.f64 y (-.f64 a z))) x)

Compiler

Compiled 75773 to 35196 computations (53.6% saved)

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(.f64 (cbrt.f64 (fma.f64 (-.f64 y z) (.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))) x)) (cbrt.f64 (fma.f64 (-.f64 y z) (.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))) x)))
	0.5b	(*.f64 (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))))
	7.5b	(cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))
	14.7b	(fma.f64 (-.f64 y z) (.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))) x)

series16.8s (47.5%)

Counts

1 → 60

Calls

1 calls:

16.8s

(*.f64 (cbrt.f64 (fma.f64 (-.f64 y z) (*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))) x)) (cbrt.f64 (fma.f64 (-.f64 y z) (*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))) x)))

rewrite18.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
16×	`cbrt-prod_binary64`
9×	`*-un-lft-identity_binary64`
9×	`add-cube-cbrt_binary64`
8×	`pow1_binary64`

Counts

1 → 42

Calls

1 calls:

9.0ms

(*.f64 (cbrt.f64 (fma.f64 (-.f64 y z) (*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))) x)) (cbrt.f64 (fma.f64 (-.f64 y z) (*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))) x)))

simplify887.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1141×	`fma-def_binary64`
1×	`fma-udef_binary64`

Counts

102 → 135

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4381	88123
1	5518	88123

prune5.5s (15.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	2123	1	2124
Fresh	1	6	7
Picked	1	0	1
Done	0	2	2
Total	2125	9	2134

Error

0.5b

Counts

2134 → 9

Alt Table

Status	Error	Program
✓	14.9b	(fma.f64 (-.f64 y z) (/.f64 (neg.f64 (-.f64 t x)) (neg.f64 (-.f64 a z))) x)
	36.0b	(-.f64 (+.f64 (/.f64 (.f64 y x) z) (+.f64 t (/.f64 (.f64 a t) z))) (+.f64 (/.f64 (.f64 y t) z) (/.f64 (.f64 a x) z)))
	37.3b	(.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 y z) (.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))) x)) (cbrt.f64 (.f64 t (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z)))))) (cbrt.f64 (fma.f64 (-.f64 y z) (.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))) x)))
✓	15.5b	(fma.f64 (-.f64 y z) (.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))) x)
	31.9b	(*.f64 t (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z))))
	41.1b	(-.f64 (+.f64 t (+.f64 (/.f64 (.f64 (pow.f64 a 2) t) (pow.f64 z 2)) (+.f64 (/.f64 (.f64 y (.f64 a x)) (pow.f64 z 2)) (+.f64 (/.f64 (.f64 y x) z) (/.f64 (.f64 a t) z))))) (+.f64 (/.f64 (.f64 (pow.f64 a 2) x) (pow.f64 z 2)) (+.f64 (/.f64 (.f64 a x) z) (+.f64 (/.f64 (.f64 y t) z) (/.f64 (.f64 y (.f64 a t)) (pow.f64 z 2))))))
	41.4b	(*.f64 y (/.f64 (-.f64 t x) (-.f64 a z)))
	22.2b	(-.f64 (+.f64 (/.f64 (.f64 z x) (-.f64 a z)) (+.f64 (/.f64 (.f64 y t) (-.f64 a z)) x)) (+.f64 (/.f64 (.f64 y x) (-.f64 a z)) (/.f64 (.f64 t z) (-.f64 a z))))
	36.7b	(*.f64 (-.f64 (+.f64 (/.f64 z (-.f64 a z)) 1) (/.f64 y (-.f64 a z))) x)

Compiler

Compiled 468351 to 164108 computations (65% saved)

regimes4.0s (11.2%)

Accuracy

Total 6.1b remaining (87.9%)

Threshold costs 0b (0%)

Counts

236 → 4

Compiler

Compiled 43890 to 21630 computations (50.7% saved)

bsearch10.0ms (0%)

Compiler: Compiled 18 to 11 computations (38.9% saved)

simplify29.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

139×	`cancel-sign-sub-inv_binary64`
124×	`distribute-rgt-neg-in_binary64`
87×	`neg-sub0_binary64`
87×	`neg-mul-1_binary64`
84×	`distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	198
1	79	198
2	112	198
3	160	194
4	228	194
5	281	194
6	348	194
7	414	194
8	467	194
9	535	194
10	596	194
11	655	194
12	696	194
13	722	194
14	736	194
15	740	194
16	736	194

end1.0ms (0%)

Compiler: Compiled 136 to 46 computations (66.2% saved)

sample1.1s (3.2%)

Algorithm

1×

intervals

Results

354.0ms	6726×	body	128	valid
69.0ms	482×	body	512	valid
68.0ms	359×	body	1024	valid
61.0ms	1199×	body	128	invalid
35.0ms	370×	body	256	valid
18.0ms	63×	body	2048	valid

Compiler

Compiled 490 to 216 computations (55.9% saved)

Iter	Nodes	Cost
0	50	198
1	79	198
2	112	198
3	160	194
4	228	194
5	281	194
6	348	194
7	414	194
8	467	194
9	535	194
10	596	194
11	655	194
12	696	194
13	722	194
14	736	194
15	740	194
16	736	194

Iter	Nodes	Cost
0	50	198
1	79	198
2	112	198
3	160	194
4	228	194
5	281	194
6	348	194
7	414	194
8	467	194
9	535	194
10	596	194
11	655	194
12	696	194
13	722	194
14	736	194
15	740	194
16	736	194

Details

analyze1.4s (3.9%)

sample36.0ms (0.1%)

simplify83.0ms (0.2%)

prune4.0ms (0%)

localize9.0ms (0%)

series96.0ms (0.3%)

rewrite11.0ms (0%)

simplify161.0ms (0.5%)

prune117.0ms (0.3%)

localize11.0ms (0%)

series96.0ms (0.3%)

rewrite44.0ms (0.1%)

simplify201.0ms (0.6%)

prune246.0ms (0.7%)

localize12.0ms (0%)

series1.3s (3.7%)

rewrite125.0ms (0.4%)

simplify548.0ms (1.6%)

prune2.5s (7%)

localize31.0ms (0.1%)

series16.8s (47.5%)

rewrite18.0ms (0%)

simplify887.0ms (2.5%)

prune5.5s (15.7%)

regimes4.0s (11.2%)

bsearch10.0ms (0%)

simplify29.0ms (0.1%)

end1.0ms (0%)

sample1.1s (3.2%)

Profiling

Iter	Nodes	Cost
0	50	198
1	79	198
2	112	198
3	160	194
4	228	194
5	281	194
6	348	194
7	414	194
8	467	194
9	535	194
10	596	194
11	655	194
12	696	194
13	722	194
14	736	194
15	740	194
16	736	194