Details

analyze364.0ms (5.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 43 to 31 computations (27.9% saved)

sample2.3s (34.9%)

Results

1.1s	3904×	body	256	valid
574.0ms	1502×	body	512	valid
440.0ms	2850×	body	128	valid
121.0ms	809×	body	128	invalid

Compiler

Compiled 106 to 76 computations (28.3% saved)

simplify360.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

1968×	`fma-neg_binary64`
1363×	`fma-def_binary64`
898×	`div-sub_binary64`
743×	`associate-/l*_binary64`
567×	`times-frac_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	30	22
2	64	22
3	135	22
4	201	22
5	335	22
6	554	22
7	929	22
8	1477	22
9	2115	22
10	2599	22
11	2554	22
12	2602	22
13	2671	22
14	3117	22
15	2327	22
16	2375	22
17	2383	22
18	2389	22
19	2395	22
20	2397	22
21	2397	22
22	2585	22
23	2685	22
24	2619	22
25	2631	22
26	2661	22
27	2677	22
28	2707	22
29	2707	22
30	2751	22
31	2851	22
32	2827	22
33	2827	22
34	2638	22

prune4.0ms (0.1%)

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

50.4b

Counts

3 → 2

Alt Table

Status	Error	Program
	50.4b	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (*.f64 b b))) b) (/.f64 1/3 a))
▶	50.4b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))

Compiler

Compiled 111 to 74 computations (33.3% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
✓	0.2b	(.f64 (.f64 3 a) c)
✓	0.2b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
✓	26.0b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))

series170.0ms (2.6%)

Counts

4 → 100

Calls

4 calls:

95.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
57.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
13.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
5.0ms	(.f64 (.f64 3 a) c)

rewrite27.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64`
14×	`add-cbrt-cube_binary64`
14×	`add-exp-log_binary64`
10×	`add-log-exp_binary64`
10×	`add-sqr-sqrt_binary64`

Counts

4 → 93

Calls

4 calls:

9.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
7.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
4.0ms	(.f64 (.f64 3 a) c)
3.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

simplify124.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

791×	`fma-def_binary64`
309×	`fma-neg_binary64`
282×	`cancel-sign-sub-inv_binary64`
189×	`associate-r_binary64`
182×	`associate-l_binary64`

Counts

193 → 187

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	247	3732
1	687	3410
2	2579	3302
3	4808	3302
4	4889	3302

prune135.0ms (2.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	178	9	187
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	180	9	189

Error

0.4b

Counts

189 → 9

Alt Table

Status	Error	Program
	50.6b	(/.f64 (/.f64 (+.f64 (pow.f64 (neg.f64 b) 3) (pow.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) 3)) (+.f64 (.f64 (neg.f64 b) (neg.f64 b)) (-.f64 (.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))))) (.f64 3 a))
	4.1b	(/.f64 (fma.f64 -3/2 (/.f64 (.f64 c a) b) (fma.f64 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)) -9/8 (/.f64 -27/16 (/.f64 (pow.f64 b 5) (pow.f64 (.f64 c a) 3))))) (.f64 3 a))
	50.5b	(/.f64 (-.f64 (.f64 (neg.f64 b) (neg.f64 b)) (.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (.f64 (.f64 3 a) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))))
	50.4b	(cbrt.f64 (/.f64 (.f64 (.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (.f64 (.f64 (.f64 3 3) 3) (.f64 (.f64 a a) a))))
	50.5b	(.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))) (cbrt.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a)))) (cbrt.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))))
	50.4b	(/.f64 (.f64 (.f64 (cbrt.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (cbrt.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))))) (cbrt.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))))) (.f64 3 a))
	50.4b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (fma.f64 b b (neg.f64 (.f64 c (.f64 3 a)))) (fma.f64 (neg.f64 c) (.f64 3 a) (.f64 c (.f64 3 a)))))) (.f64 3 a))
	50.3b	(/.f64 (fma.f64 (.f64 (cbrt.f64 b) (cbrt.f64 b)) (neg.f64 (cbrt.f64 b)) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (*.f64 3 a))
▶	2.8b	(neg.f64 (fma.f64 9/16 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 135/128 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)) (fma.f64 1/2 (/.f64 c b) (.f64 3/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)))))))

Compiler

Compiled 5480 to 3212 computations (41.4% saved)

localize27.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
✓	0.3b	(/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3))
✓	0.3b	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
✓	0.4b	(.f64 (.f64 a a) (pow.f64 c 3))

series201.0ms (3.1%)

Counts

4 → 120

Calls

4 calls:

95.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
70.0ms	(/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3))
21.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
14.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

rewrite38.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

109×	`add-exp-log_binary64`
54×	`prod-exp_binary64`
42×	`add-sqr-sqrt_binary64`
30×	`div-exp_binary64`
29×	`unpow-prod-down_binary64`

Counts

4 → 186

Calls

4 calls:

9.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
6.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
6.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
6.0ms	(/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3))

simplify145.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

394×	`times-frac_binary64`
381×	`associate-l_binary64`
328×	`associate-r_binary64`
312×	`log-div_binary64`
300×	`associate-/l*_binary64`

Counts

306 → 228

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	273	4694
1	600	4318
2	3453	4239
3	4707	4239
4	5155	4239

prune328.0ms (5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	228	0	228
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	228	9	237

Error

0.4b

Counts

237 → 9

Alt Table

Status	Error	Program
	50.6b	(/.f64 (/.f64 (+.f64 (pow.f64 (neg.f64 b) 3) (pow.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) 3)) (+.f64 (.f64 (neg.f64 b) (neg.f64 b)) (-.f64 (.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))))) (.f64 3 a))
▶	4.1b	(/.f64 (fma.f64 -3/2 (/.f64 (.f64 c a) b) (fma.f64 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)) -9/8 (/.f64 -27/16 (/.f64 (pow.f64 b 5) (pow.f64 (.f64 c a) 3))))) (.f64 3 a))
	50.5b	(/.f64 (-.f64 (.f64 (neg.f64 b) (neg.f64 b)) (.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (.f64 (.f64 3 a) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))))
	50.4b	(cbrt.f64 (/.f64 (.f64 (.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (.f64 (.f64 (.f64 3 3) 3) (.f64 (.f64 a a) a))))
	50.5b	(.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))) (cbrt.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a)))) (cbrt.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))))
	50.4b	(/.f64 (.f64 (.f64 (cbrt.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (cbrt.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))))) (cbrt.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))))) (.f64 3 a))
	50.4b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (fma.f64 b b (neg.f64 (.f64 c (.f64 3 a)))) (fma.f64 (neg.f64 c) (.f64 3 a) (.f64 c (.f64 3 a)))))) (.f64 3 a))
	50.3b	(/.f64 (fma.f64 (.f64 (cbrt.f64 b) (cbrt.f64 b)) (neg.f64 (cbrt.f64 b)) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (*.f64 3 a))
✓	2.8b	(neg.f64 (fma.f64 9/16 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 135/128 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)) (fma.f64 1/2 (/.f64 c b) (.f64 3/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)))))))

Compiler

Compiled 12016 to 7356 computations (38.8% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (pow.f64 b 5) (pow.f64 (*.f64 c a) 3))
✓	0.4b	(/.f64 (fma.f64 -3/2 (/.f64 (.f64 c a) b) (fma.f64 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)) -9/8 (/.f64 -27/16 (/.f64 (pow.f64 b 5) (pow.f64 (.f64 c a) 3))))) (.f64 3 a))
✓	0.4b	(.f64 (.f64 c a) (*.f64 c a))
✓	0.7b	(pow.f64 (*.f64 c a) 3)

series287.0ms (4.4%)

Counts

4 → 120

Calls

4 calls:

142.0ms	(/.f64 (pow.f64 b 5) (pow.f64 (*.f64 c a) 3))
120.0ms	(/.f64 (fma.f64 -3/2 (/.f64 (.f64 c a) b) (fma.f64 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)) -9/8 (/.f64 -27/16 (/.f64 (pow.f64 b 5) (pow.f64 (.f64 c a) 3))))) (.f64 3 a))
14.0ms	(pow.f64 (*.f64 c a) 3)
11.0ms	(.f64 (.f64 c a) (*.f64 c a))

rewrite29.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

59×	`times-frac_binary64`
46×	`pow1_binary64`
44×	`add-exp-log_binary64`
36×	`unpow-prod-down_binary64`
33×	`*-un-lft-identity_binary64`

Counts

4 → 179

Calls

4 calls:

5.0ms	(/.f64 (pow.f64 b 5) (pow.f64 (*.f64 c a) 3))
5.0ms	(.f64 (.f64 c a) (*.f64 c a))
3.0ms	(/.f64 (fma.f64 -3/2 (/.f64 (.f64 c a) b) (fma.f64 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)) -9/8 (/.f64 -27/16 (/.f64 (pow.f64 b 5) (pow.f64 (.f64 c a) 3))))) (.f64 3 a))
2.0ms	(pow.f64 (*.f64 c a) 3)

simplify161.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

466×	`associate-/r/_binary64`
466×	`fma-def_binary64`
339×	`unswap-sqr_binary64`
307×	`associate-/r*_binary64`
271×	`times-frac_binary64`

Counts

299 → 217

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	264	6388
1	494	5761
2	2474	5570
3	4811	5570
4	5176	5570

prune258.0ms (3.9%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	215	2	217
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	215	11	226

Error

0.4b

Counts

226 → 11

Alt Table

Status	Error	Program
	50.6b	(/.f64 (/.f64 (+.f64 (pow.f64 (neg.f64 b) 3) (pow.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) 3)) (+.f64 (.f64 (neg.f64 b) (neg.f64 b)) (-.f64 (.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))))) (.f64 3 a))
✓	4.1b	(/.f64 (fma.f64 -3/2 (/.f64 (.f64 c a) b) (fma.f64 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)) -9/8 (/.f64 -27/16 (/.f64 (pow.f64 b 5) (pow.f64 (.f64 c a) 3))))) (.f64 3 a))
	50.3b	(/.f64 (fma.f64 (.f64 (cbrt.f64 b) (cbrt.f64 b)) (neg.f64 (cbrt.f64 b)) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (*.f64 3 a))
	4.2b	(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -3/2 (.f64 (/.f64 c b) a) (fma.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) -9/8 (.f64 (pow.f64 (.f64 c a) 3) (/.f64 -27/16 (pow.f64 b 5))))) (*.f64 3 a)) 3))
	50.5b	(/.f64 (-.f64 (.f64 (neg.f64 b) (neg.f64 b)) (.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (.f64 (.f64 3 a) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))))
	50.4b	(cbrt.f64 (/.f64 (.f64 (.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (.f64 (.f64 (.f64 3 3) 3) (.f64 (.f64 a a) a))))
	50.5b	(.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))) (cbrt.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a)))) (cbrt.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))))
▶	4.1b	(/.f64 1 (/.f64 3 (/.f64 (fma.f64 -3/2 (.f64 (/.f64 c b) a) (fma.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) -9/8 (.f64 (pow.f64 (.f64 c a) 3) (/.f64 -27/16 (pow.f64 b 5))))) a)))
	50.4b	(/.f64 (.f64 (.f64 (cbrt.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (cbrt.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))))) (cbrt.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))))) (.f64 3 a))
	50.4b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (fma.f64 b b (neg.f64 (.f64 c (.f64 3 a)))) (fma.f64 (neg.f64 c) (.f64 3 a) (.f64 c (.f64 3 a)))))) (.f64 3 a))
✓	2.8b	(neg.f64 (fma.f64 9/16 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 135/128 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)) (fma.f64 1/2 (/.f64 c b) (.f64 3/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)))))))

Compiler

Compiled 10608 to 5585 computations (47.4% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3))
✓	0.3b	(.f64 (pow.f64 (.f64 c a) 3) (/.f64 -27/16 (pow.f64 b 5)))
✓	0.4b	(pow.f64 (*.f64 c a) 2)
	0.7b	(pow.f64 (*.f64 c a) 3)

series195.0ms (3%)

Counts

3 → 96

Calls

3 calls:

110.0ms	(.f64 (pow.f64 (.f64 c a) 3) (/.f64 -27/16 (pow.f64 b 5)))
77.0ms	(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3))
8.0ms	(pow.f64 (*.f64 c a) 2)

rewrite33.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

99×	`times-frac_binary64`
69×	`add-sqr-sqrt_binary64`
66×	`add-exp-log_binary64`
53×	`*-un-lft-identity_binary64`
53×	`add-cube-cbrt_binary64`

Counts

3 → 205

Calls

3 calls:

11.0ms	(.f64 (pow.f64 (.f64 c a) 3) (/.f64 -27/16 (pow.f64 b 5)))
5.0ms	(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3))
2.0ms	(pow.f64 (*.f64 c a) 2)

simplify156.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

550×	`log-prod_binary64`
378×	`unswap-sqr_binary64`
327×	`associate-l_binary64`
288×	`associate-r_binary64`
277×	`times-frac_binary64`

Counts

301 → 227

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	287	5142
1	522	5007
2	3133	4885
3	4498	4885
4	5355	4885

prune308.0ms (4.7%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	253	0	253
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	253	11	264

Error

0.4b

Counts

264 → 11

Alt Table

Status	Error	Program
	50.6b	(/.f64 (/.f64 (+.f64 (pow.f64 (neg.f64 b) 3) (pow.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) 3)) (+.f64 (.f64 (neg.f64 b) (neg.f64 b)) (-.f64 (.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))))) (.f64 3 a))
✓	4.1b	(/.f64 (fma.f64 -3/2 (/.f64 (.f64 c a) b) (fma.f64 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)) -9/8 (/.f64 -27/16 (/.f64 (pow.f64 b 5) (pow.f64 (.f64 c a) 3))))) (.f64 3 a))
	50.3b	(/.f64 (fma.f64 (.f64 (cbrt.f64 b) (cbrt.f64 b)) (neg.f64 (cbrt.f64 b)) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (*.f64 3 a))
	4.2b	(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -3/2 (.f64 (/.f64 c b) a) (fma.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) -9/8 (.f64 (pow.f64 (.f64 c a) 3) (/.f64 -27/16 (pow.f64 b 5))))) (*.f64 3 a)) 3))
	50.5b	(/.f64 (-.f64 (.f64 (neg.f64 b) (neg.f64 b)) (.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (.f64 (.f64 3 a) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))))
	50.4b	(cbrt.f64 (/.f64 (.f64 (.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (.f64 (.f64 (.f64 3 3) 3) (.f64 (.f64 a a) a))))
	50.5b	(.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))) (cbrt.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a)))) (cbrt.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))))
✓	4.1b	(/.f64 1 (/.f64 3 (/.f64 (fma.f64 -3/2 (.f64 (/.f64 c b) a) (fma.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) -9/8 (.f64 (pow.f64 (.f64 c a) 3) (/.f64 -27/16 (pow.f64 b 5))))) a)))
	50.4b	(/.f64 (.f64 (.f64 (cbrt.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (cbrt.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))))) (cbrt.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))))) (.f64 3 a))
	50.4b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (fma.f64 b b (neg.f64 (.f64 c (.f64 3 a)))) (fma.f64 (neg.f64 c) (.f64 3 a) (.f64 c (.f64 3 a)))))) (.f64 3 a))
✓	2.8b	(neg.f64 (fma.f64 9/16 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 135/128 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)) (fma.f64 1/2 (/.f64 c b) (.f64 3/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)))))))

Compiler

Compiled 11438 to 7019 computations (38.6% saved)

regimes585.0ms (8.9%)

Accuracy

Total 1.4b remaining (86.7%)

Threshold costs 0b (0%)

Counts

90 → 1

Compiler

Compiled 16001 to 10698 computations (33.1% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

28×	`*-commutative_binary64`
24×	`+-commutative_binary64`
21×	`sub-neg_binary64`
21×	`neg-sub0_binary64`
21×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	69
1	53	67
2	72	67
3	99	67
4	139	67
5	170	67
6	198	67
7	215	67
8	223	67
9	225	67
10	221	67

end290.0ms (4.4%)

Compiler: Compiled 596 to 393 computations (34.1% saved)

Iter	Nodes	Cost
0	36	69
1	53	67
2	72	67
3	99	67
4	139	67
5	170	67
6	198	67
7	215	67
8	223	67
9	225	67
10	221	67

Iter	Nodes	Cost
0	36	69
1	53	67
2	72	67
3	99	67
4	139	67
5	170	67
6	198	67
7	215	67
8	223	67
9	225	67
10	221	67

Details

analyze364.0ms (5.5%)

sample2.3s (34.9%)

simplify360.0ms (5.5%)

prune4.0ms (0.1%)

localize11.0ms (0.2%)

series170.0ms (2.6%)

rewrite27.0ms (0.4%)

simplify124.0ms (1.9%)

prune135.0ms (2.1%)

localize27.0ms (0.4%)

series201.0ms (3.1%)

rewrite38.0ms (0.6%)

simplify145.0ms (2.2%)

prune328.0ms (5%)

localize17.0ms (0.3%)

series287.0ms (4.4%)

rewrite29.0ms (0.4%)

simplify161.0ms (2.5%)

prune258.0ms (3.9%)

localize22.0ms (0.3%)

series195.0ms (3%)

rewrite33.0ms (0.5%)

simplify156.0ms (2.4%)

prune308.0ms (4.7%)

regimes585.0ms (8.9%)

simplify7.0ms (0.1%)

end290.0ms (4.4%)

Profiling

Iter	Nodes	Cost
0	36	69
1	53	67
2	72	67
3	99	67
4	139	67
5	170	67
6	198	67
7	215	67
8	223	67
9	225	67
10	221	67