Details

analyze372.0ms (2.5%)

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 37 to 28 computations (24.3% saved)

sample87.0ms (0.6%)

Algorithm

1×

intervals

Results

29.0ms	256×	body	128	valid
9.0ms	256×	pre	128	true

Compiler

Compiled 54 to 42 computations (22.2% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

11×	`sub-neg_binary32`
7×	`+-commutative_binary32`
6×	`fma-def_binary32`
4×	`*-commutative_binary32`
4×	`div-sub_binary32`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	17	17
2	21	17
3	27	17
4	34	17
5	44	17
6	54	17
7	69	17
8	76	17
9	79	17
10	80	17
11	60	17

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

0.5b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))

Compiler

Compiled 42 to 33 computations (21.4% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f32 u1 (-.f32 1 u1))
✓	0.2b	(sin.f32 (*.f32 314159265359/50000000000 u2))
✓	0.3b	(*.f32 314159265359/50000000000 u2)
✓	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))

series34.0ms (0.2%)

Counts

4 → 28

Calls

4 calls:

28.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
2.0ms	(/.f32 u1 (-.f32 1 u1))
2.0ms	(sin.f32 (*.f32 314159265359/50000000000 u2))
2.0ms	(*.f32 314159265359/50000000000 u2)

rewrite28.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

59×	`add-sqr-sqrt_binary32`
50×	`*-un-lft-identity_binary32`
37×	`times-frac_binary32`
30×	`associate-l_binary32`
29×	`add-cube-cbrt_binary32`

Counts

4 → 119

Calls

4 calls:

12.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
4.0ms	(/.f32 u1 (-.f32 1 u1))
3.0ms	(*.f32 314159265359/50000000000 u2)
1.0ms	(sin.f32 (*.f32 314159265359/50000000000 u2))

simplify114.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

508×	`fma-def_binary32`
448×	`associate-r_binary32`
378×	`associate-/r*_binary32`
357×	`times-frac_binary32`
261×	`fma-neg_binary32`

Counts

147 → 189

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	257	2754
1	569	2577
2	1673	2467
3	4686	2467
4	5037	2467

prune231.0ms (1.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	178	11	189
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	179	11	190

Error

0.0b

Counts

190 → 11

Alt Table

Status	Error	Program
	1.7b	(.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))) (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
	1.9b	(-.f32 (+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (+.f32 (.f32 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
	0.6b	(.f32 (sqrt.f32 (/.f32 1 (+.f32 1 (sqrt.f32 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 (sqrt.f32 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2))))
	0.5b	(cbrt.f32 (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sin.f32 (.f32 314159265359/50000000000 u2))) (sin.f32 (.f32 314159265359/50000000000 u2)))))
▶	0.5b	(.f32 (sqrt.f32 (cbrt.f32 (/.f32 (.f32 (.f32 u1 u1) u1) (.f32 (.f32 (-.f32 1 u1) (-.f32 1 u1)) (-.f32 1 u1))))) (sin.f32 (.f32 314159265359/50000000000 u2)))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 (.f32 (cbrt.f32 314159265359/50000000000) (cbrt.f32 314159265359/50000000000)) (.f32 (cbrt.f32 314159265359/50000000000) u2))))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (cbrt.f32 (.f32 (.f32 (.f32 314159265359/50000000000 314159265359/50000000000) 314159265359/50000000000) (.f32 (.f32 u2 u2) u2)))))
	0.9b	(.f32 (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sin.f32 (.f32 314159265359/50000000000 u2))))
	0.7b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))) (sin.f32 (.f32 314159265359/50000000000 u2))))
	1.2b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (.f32 314159265359/50000000000 u2)))
	0.6b	(/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))

Compiler

Compiled 4372 to 3204 computations (26.7% saved)

localize60.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f32 (.f32 (.f32 u1 u1) u1) (.f32 (.f32 (-.f32 1 u1) (-.f32 1 u1)) (-.f32 1 u1)))
	0.3b	(*.f32 314159265359/50000000000 u2)
✓	0.4b	(.f32 (sqrt.f32 (cbrt.f32 (/.f32 (.f32 (.f32 u1 u1) u1) (.f32 (.f32 (-.f32 1 u1) (-.f32 1 u1)) (-.f32 1 u1))))) (sin.f32 (.f32 314159265359/50000000000 u2)))
✓	0.4b	(*.f32 (-.f32 1 u1) (-.f32 1 u1))

series47.0ms (0.3%)

Counts

3 → 44

Calls

3 calls:

41.0ms

(*.f32 (sqrt.f32 (cbrt.f32 (/.f32 (*.f32 (*.f32 u1 u1) u1) (*.f32 (*.f32 (-.f32 1 u1) (-.f32 1 u1)) (-.f32 1 u1))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))

3.0ms

(/.f32 (*.f32 (*.f32 u1 u1) u1) (*.f32 (*.f32 (-.f32 1 u1) (-.f32 1 u1)) (-.f32 1 u1)))

2.0ms

(*.f32 (-.f32 1 u1) (-.f32 1 u1))

rewrite68.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`flip--_binary32`
60×	`frac-times_binary32`
60×	`flip3--_binary32`
52×	`associate-/r/_binary32`
45×	`add-sqr-sqrt_binary32`

Counts

3 → 188

Calls

3 calls:

17.0ms

(/.f32 (*.f32 (*.f32 u1 u1) u1) (*.f32 (*.f32 (-.f32 1 u1) (-.f32 1 u1)) (-.f32 1 u1)))

15.0ms

(*.f32 (sqrt.f32 (cbrt.f32 (/.f32 (*.f32 (*.f32 u1 u1) u1) (*.f32 (*.f32 (-.f32 1 u1) (-.f32 1 u1)) (-.f32 1 u1))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))

9.0ms

(*.f32 (-.f32 1 u1) (-.f32 1 u1))

simplify143.0ms (1%)

Algorithm

1×	egg-herbie

Rules

504×	`times-frac_binary32`
317×	`associate-l_binary32`
298×	`unswap-sqr_binary32`
289×	`associate-r_binary32`
275×	`associate-/r*_binary32`

Counts

232 → 316

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	418	6172
1	898	4770
2	3986	4435
3	5032	4435

prune570.0ms (3.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	336	1	337
Fresh	1	9	10
Picked	1	0	1
Done	0	0	0
Total	338	10	348

Error

0.0b

Counts

348 → 10

Alt Table

Status	Error	Program
	1.7b	(.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))) (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
	1.9b	(-.f32 (+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (+.f32 (.f32 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
	0.6b	(.f32 (sqrt.f32 (/.f32 1 (+.f32 1 (sqrt.f32 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 (sqrt.f32 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2))))
▶	0.5b	(cbrt.f32 (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sin.f32 (.f32 314159265359/50000000000 u2))) (sin.f32 (.f32 314159265359/50000000000 u2)))))
	1.2b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (.f32 314159265359/50000000000 u2)))
	0.5b	(.f32 (sqrt.f32 (cbrt.f32 (/.f32 (.f32 (.f32 u1 u1) u1) (.f32 (.f32 (-.f32 1 u1) (-.f32 1 u1)) (-.f32 1 u1))))) (sin.f32 (.f32 (.f32 (cbrt.f32 314159265359/50000000000) (cbrt.f32 314159265359/50000000000)) (.f32 u2 (cbrt.f32 314159265359/50000000000)))))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (cbrt.f32 (.f32 (.f32 (.f32 314159265359/50000000000 314159265359/50000000000) 314159265359/50000000000) (.f32 (.f32 u2 u2) u2)))))
	0.9b	(.f32 (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sin.f32 (.f32 314159265359/50000000000 u2))))
	0.7b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))) (sin.f32 (.f32 314159265359/50000000000 u2))))
	0.6b	(/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))

Compiler

Compiled 12858 to 8641 computations (32.8% saved)

localize50.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sin.f32 (.f32 314159265359/50000000000 u2))) (sin.f32 (.f32 314159265359/50000000000 u2))))
✓	0.4b	(.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sin.f32 (.f32 314159265359/50000000000 u2))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
✓	0.4b	(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
✓	0.5b	(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))

series107.0ms (0.7%)

Counts

4 → 56

Calls

4 calls:

91.0ms	(.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sin.f32 (.f32 314159265359/50000000000 u2))) (sin.f32 (.f32 314159265359/50000000000 u2))))
7.0ms	(.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sin.f32 (.f32 314159265359/50000000000 u2))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
5.0ms	(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
4.0ms	(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sin.f32 (*.f32 314159265359/50000000000 u2)))

rewrite132.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

169×	`pow1_binary32`
142×	`add-sqr-sqrt_binary32`
122×	`sqrt-prod_binary32`
111×	`*-un-lft-identity_binary32`
96×	`times-frac_binary32`

Counts

4 → 274

Calls

4 calls:

44.0ms	(.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sin.f32 (.f32 314159265359/50000000000 u2))) (sin.f32 (.f32 314159265359/50000000000 u2))))
26.0ms	(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
10.0ms	(.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sin.f32 (.f32 314159265359/50000000000 u2))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
5.0ms	(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sin.f32 (*.f32 314159265359/50000000000 u2)))

simplify179.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

507×	`unswap-sqr_binary32`
463×	`associate-r_binary32`
463×	`associate-l_binary32`
254×	`fma-neg_binary32`
178×	`*-commutative_binary32`

Counts

330 → 369

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	430	7212
1	940	6085
2	3759	5970
3	5267	5970

prune669.0ms (4.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	364	5	369
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	369	10	379

Error

0.0b

Counts

379 → 10

Alt Table

Status	Error	Program
	22.1b	(cbrt.f32 (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (log.f32 (exp.f32 (.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sin.f32 (.f32 314159265359/50000000000 u2))) (sin.f32 (.f32 314159265359/50000000000 u2)))))))
	4.1b	(cbrt.f32 (-.f32 (.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))) (.f32 3060196847853821555298148281676017575122444629042460390799/625000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)))))))
	0.7b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))) (sin.f32 (.f32 314159265359/50000000000 u2))))
	0.9b	(cbrt.f32 (.f32 (.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sin.f32 (.f32 314159265359/50000000000 u2))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
▶	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (cbrt.f32 (.f32 (.f32 (.f32 314159265359/50000000000 314159265359/50000000000) 314159265359/50000000000) (.f32 (.f32 u2 u2) u2)))))
	0.9b	(.f32 (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sin.f32 (.f32 314159265359/50000000000 u2))))
	1.7b	(.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))) (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
	2.5b	(cbrt.f32 (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (-.f32 (fma.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2) (.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6))) (fma.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/12304687500000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 8)))) (sin.f32 (.f32 314159265359/50000000000 u2)))))
	3.1b	(cbrt.f32 (fma.f32 3926381196111638570368189976325357820282927479677289842826169154812205366148846947/93750000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 7) (sqrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3))) (.f32 (sqrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3)) (fma.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f32 u2 3) (*.f32 (pow.f32 u2 5) -3060196847853821555298148281676017575122444629042460390799/625000000000000000000000000000000000000000000000000000)))))
	0.5b	(.f32 (sqrt.f32 (cbrt.f32 (/.f32 (.f32 (.f32 u1 u1) u1) (.f32 (.f32 (-.f32 1 u1) (-.f32 1 u1)) (-.f32 1 u1))))) (sin.f32 (.f32 (.f32 (cbrt.f32 314159265359/50000000000) (cbrt.f32 314159265359/50000000000)) (.f32 u2 (cbrt.f32 314159265359/50000000000)))))

Compiler

Compiled 16210 to 12236 computations (24.5% saved)

localize49.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 (.f32 u2 u2) u2)
✓	0.3b	(.f32 (.f32 (.f32 314159265359/50000000000 314159265359/50000000000) 314159265359/50000000000) (.f32 (*.f32 u2 u2) u2))
✓	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (cbrt.f32 (.f32 (.f32 (.f32 314159265359/50000000000 314159265359/50000000000) 314159265359/50000000000) (.f32 (.f32 u2 u2) u2)))))
✓	1.0b	(*.f32 314159265359/50000000000 314159265359/50000000000)

series50.0ms (0.3%)

Counts

4 → 44

Calls

4 calls:

44.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (cbrt.f32 (.f32 (.f32 (.f32 314159265359/50000000000 314159265359/50000000000) 314159265359/50000000000) (.f32 (.f32 u2 u2) u2)))))
3.0ms	(.f32 (.f32 (.f32 314159265359/50000000000 314159265359/50000000000) 314159265359/50000000000) (.f32 (*.f32 u2 u2) u2))
2.0ms	(.f32 (.f32 u2 u2) u2)
0.0ms	(*.f32 314159265359/50000000000 314159265359/50000000000)

rewrite78.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

156×	`pow1_binary32`
57×	`pow-prod-down_binary32`
52×	`add-cbrt-cube_binary32`
49×	`add-exp-log_binary32`
47×	`pow-plus_binary32`

Counts

4 → 169

Calls

4 calls:

34.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (cbrt.f32 (.f32 (.f32 (.f32 314159265359/50000000000 314159265359/50000000000) 314159265359/50000000000) (.f32 (.f32 u2 u2) u2)))))
14.0ms	(.f32 (.f32 (.f32 314159265359/50000000000 314159265359/50000000000) 314159265359/50000000000) (.f32 (*.f32 u2 u2) u2))
10.0ms	(.f32 (.f32 u2 u2) u2)
3.0ms	(*.f32 314159265359/50000000000 314159265359/50000000000)

simplify161.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

551×	`fma-neg_binary32`
399×	`*-commutative_binary32`
377×	`fma-def_binary32`
299×	`associate-/r*_binary32`
228×	`sub-neg_binary32`

Counts

213 → 207

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	257	3253
1	531	2924
2	1556	2757
3	4092	2718
4	4916	2718
5	4916	2718

prune317.0ms (2.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	204	3	207
Fresh	3	6	9
Picked	1	0	1
Done	0	0	0
Total	208	9	217

Error

0.0b

Counts

217 → 9

Alt Table

Status	Error	Program
	1.7b	(.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))) (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
	0.5b	(.f32 (sqrt.f32 u1) (.f32 (sin.f32 (cbrt.f32 (*.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f32 u2 3)))) (sqrt.f32 (/.f32 1 (-.f32 1 u1)))))
	22.1b	(cbrt.f32 (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (log.f32 (exp.f32 (.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sin.f32 (.f32 314159265359/50000000000 u2))) (sin.f32 (.f32 314159265359/50000000000 u2)))))))
	4.1b	(cbrt.f32 (-.f32 (.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))) (.f32 3060196847853821555298148281676017575122444629042460390799/625000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)))))))
	0.7b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))) (sin.f32 (.f32 314159265359/50000000000 u2))))
	0.9b	(cbrt.f32 (.f32 (.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sin.f32 (.f32 314159265359/50000000000 u2))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (cbrt.f32 (.f32 (.f32 (cbrt.f32 961389193575684075633145058384385882649239799132134631991269883031841/15625000000000000000000000000000000000000000000000000000000000000) 314159265359/50000000000) (.f32 (*.f32 u2 u2) u2)))))
	0.9b	(.f32 (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sin.f32 (.f32 314159265359/50000000000 u2))))
	0.5b	(/.f32 (.f32 (sin.f32 (cbrt.f32 (.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f32 u2 3)))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))

Compiler

Compiled 5713 to 4083 computations (28.5% saved)

regimes9.2s (63%)

Accuracy

Total 0.4b remaining (84.7%)

Threshold costs 0.4b (84.7%)

Counts

534 → 1

Compiler

Compiled 136464 to 106038 computations (22.3% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary32`
2×	`+-commutative_binary32`
2×	`sub-neg_binary32`
1×	`neg-sub0_binary32`
1×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	28
1	22	28
2	26	28
3	28	28
4	29	28
5	28	28

end1.0ms (0%)

Compiler: Compiled 21 to 18 computations (14.3% saved)

sample1.8s (12.4%)

Algorithm

1×

intervals

Results

819.0ms	8000×	body	128	valid
270.0ms	8000×	pre	128	true
0.0ms	3×	pre	128	false

Compiler

Compiled 319 to 253 computations (20.7% saved)

Iter	Nodes	Cost
0	11	17
1	17	17
2	21	17
3	27	17
4	34	17
5	44	17
6	54	17
7	69	17
8	76	17
9	79	17
10	80	17
11	60	17

Iter	Nodes	Cost
0	11	17
1	17	17
2	21	17
3	27	17
4	34	17
5	44	17
6	54	17
7	69	17
8	76	17
9	79	17
10	80	17
11	60	17

Details

analyze372.0ms (2.5%)

sample87.0ms (0.6%)

simplify10.0ms (0.1%)

prune2.0ms (0%)

localize27.0ms (0.2%)

series34.0ms (0.2%)

rewrite28.0ms (0.2%)

simplify114.0ms (0.8%)

prune231.0ms (1.6%)

localize60.0ms (0.4%)

series47.0ms (0.3%)

rewrite68.0ms (0.5%)

simplify143.0ms (1%)

prune570.0ms (3.9%)

localize50.0ms (0.3%)

series107.0ms (0.7%)

rewrite132.0ms (0.9%)

simplify179.0ms (1.2%)

prune669.0ms (4.6%)

localize49.0ms (0.3%)

series50.0ms (0.3%)

rewrite78.0ms (0.5%)

simplify161.0ms (1.1%)

prune317.0ms (2.2%)

regimes9.2s (63%)

simplify3.0ms (0%)

end1.0ms (0%)

sample1.8s (12.4%)

Profiling

Iter	Nodes	Cost
0	11	17
1	17	17
2	21	17
3	27	17
4	34	17
5	44	17
6	54	17
7	69	17
8	76	17
9	79	17
10	80	17
11	60	17