Details

analyze3.1s (16.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
9.4%	90.5%	0.1%	7
14%	85.8%	0.1%	8
16.4%	83.5%	0.1%	9
24.6%	75.3%	0.1%	10
28.7%	71.2%	0.1%	11
30.7%	69.1%	0.1%	12
35.8%	64%	0.1%	13
38.4%	61.5%	0.1%	14

Compiler

Compiled 32 to 18 computations (43.8% saved)

sample6.7s (34.4%)

Results

3.6s	2069×	body	1024	valid
1.6s	4631×	body	128	valid
1.0s	1013×	body	512	valid
345.0ms	536×	body	256	valid
25.0ms	7×	body	2048	valid

Compiler

Compiled 95 to 53 computations (44.2% saved)

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Rules

12×	`fma-def_binary64`
11×	`*-commutative_binary64`
6×	`associate-r_binary64`
6×	`associate-l_binary64`
1×	`+-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	44
1	30	44
2	50	44
3	56	44
4	56	44

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.1b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))

Compiler

Compiled 118 to 51 computations (56.8% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))
✓	0.1b	(*.f64 ew (sin.f64 t))
✓	2.6b	(/.f64 (/.f64 eh ew) (tan.f64 t))
✓	33.2b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

series151.0ms (0.8%)

Counts

4 → 132

Calls

4 calls:

84.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
40.0ms	(.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))
20.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
7.0ms	(*.f64 ew (sin.f64 t))

rewrite23.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`times-frac_binary64`
51×	`add-sqr-sqrt_binary64`
49×	`*-un-lft-identity_binary64`
49×	`add-cube-cbrt_binary64`
16×	`add-cbrt-cube_binary64`

Counts

4 → 124

Calls

4 calls:

5.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
5.0ms	(.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))
4.0ms	(*.f64 ew (sin.f64 t))
1.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

simplify148.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

608×	`times-frac_binary64`
574×	`fma-def_binary64`
484×	`associate-/l*_binary64`
426×	`associate-/l/_binary64`
287×	`fma-neg_binary64`

Counts

256 → 197

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	293	4606
1	690	4310
2	2065	4263
3	4443	4255
4	4965	4255

prune234.0ms (1.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	296	8	304
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	297	8	305

Error

0.0b

Counts

305 → 8

Alt Table

Status	Error	Program
	25.7b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (sqrt.f64 (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))) (sqrt.f64 (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))))
	26.8b	(fabs.f64 (fma.f64 (cbrt.f64 (.f64 (.f64 (.f64 ew ew) ew) (.f64 (.f64 (sin.f64 t) (sin.f64 t)) (sin.f64 t)))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	23.5b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (/.f64 (.f64 (/.f64 eh (.f64 (tan.f64 t) ew)) (.f64 eh (cos.f64 t))) (sqrt.f64 (+.f64 1 (*.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)) (/.f64 (/.f64 eh ew) (tan.f64 t))))))))
	28.9b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (cbrt.f64 (.f64 (.f64 (.f64 (.f64 eh eh) eh) (.f64 (.f64 (cos.f64 t) (cos.f64 t)) (cos.f64 t))) (.f64 (*.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))))
	0.8b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (.f64 (cbrt.f64 (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))) (cbrt.f64 (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))))) (cbrt.f64 (.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))))
	29.9b	(fabs.f64 (fma.f64 (.f64 (.f64 ew (sqrt.f64 (sin.f64 t))) (sqrt.f64 (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
▶	0.6b	(fabs.f64 (fma.f64 (.f64 (.f64 ew (.f64 (cbrt.f64 (sin.f64 t)) (cbrt.f64 (sin.f64 t)))) (cbrt.f64 (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	32.1b	(fabs.f64 (fma.f64 (.f64 (sqrt.f64 ew) (.f64 (sqrt.f64 ew) (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))

Compiler

Compiled 11677 to 2334 computations (80% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(*.f64 (cbrt.f64 (sin.f64 t)) (cbrt.f64 (sin.f64 t)))
✓	0.6b	(cbrt.f64 (sin.f64 t))
	2.6b	(/.f64 (/.f64 eh ew) (tan.f64 t))
	33.2b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

series438.0ms (2.2%)

Counts

2 → 24

Calls

2 calls:

248.0ms	(*.f64 (cbrt.f64 (sin.f64 t)) (cbrt.f64 (sin.f64 t)))
190.0ms	(cbrt.f64 (sin.f64 t))

rewrite9.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64`
19×	`cbrt-prod_binary64`
11×	`*-un-lft-identity_binary64`
11×	`add-cube-cbrt_binary64`
9×	`pow1_binary64`

Counts

2 → 55

Calls

2 calls:

5.0ms	(*.f64 (cbrt.f64 (sin.f64 t)) (cbrt.f64 (sin.f64 t)))
1.0ms	(cbrt.f64 (sin.f64 t))

simplify95.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

765×	`fma-neg_binary64`
746×	`log-prod_binary64`
495×	`unswap-sqr_binary64`
463×	`fma-def_binary64`
302×	`*-commutative_binary64`

Counts

79 → 87

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	96	882
1	220	796
2	561	756
3	1357	734
4	3197	612
5	4140	612
6	4682	612
7	4853	612

prune409.0ms (2.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	366	2	368
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	368	8	376

Error

0.0b

Counts

376 → 8

Alt Table

Status	Error	Program
▶	0.6b	(fabs.f64 (fma.f64 (.f64 (.f64 ew (.f64 (cbrt.f64 (sin.f64 t)) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (sin.f64 t)) (cbrt.f64 (sin.f64 t)))) (cbrt.f64 (cbrt.f64 (sin.f64 t)))))) (cbrt.f64 (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	25.7b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (sqrt.f64 (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))) (sqrt.f64 (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))))
	3.5b	(fabs.f64 (fma.f64 (.f64 (.f64 ew (pow.f64 (pow.f64 (sin.f64 t) 2) 1/3)) (cbrt.f64 (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	29.9b	(fabs.f64 (fma.f64 (.f64 (.f64 ew (sqrt.f64 (sin.f64 t))) (sqrt.f64 (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	23.5b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (/.f64 (.f64 (/.f64 eh (.f64 (tan.f64 t) ew)) (.f64 eh (cos.f64 t))) (sqrt.f64 (+.f64 1 (*.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)) (/.f64 (/.f64 eh ew) (tan.f64 t))))))))
	28.9b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (cbrt.f64 (.f64 (.f64 (.f64 (.f64 eh eh) eh) (.f64 (.f64 (cos.f64 t) (cos.f64 t)) (cos.f64 t))) (.f64 (*.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))))
	0.8b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (.f64 (cbrt.f64 (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))) (cbrt.f64 (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))))) (cbrt.f64 (.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))))
	32.1b	(fabs.f64 (fma.f64 (.f64 (sqrt.f64 ew) (.f64 (sqrt.f64 ew) (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))

Compiler

Compiled 16884 to 3040 computations (82% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 (cbrt.f64 (sin.f64 t)))
	0.6b	(cbrt.f64 (sin.f64 t))
	2.6b	(/.f64 (/.f64 eh ew) (tan.f64 t))
	33.2b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

series179.0ms (0.9%)

Counts

1 → 12

Calls

1 calls:

179.0ms

(cbrt.f64 (cbrt.f64 (sin.f64 t)))

rewrite2.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`cbrt-prod_binary64`
3×	`*-un-lft-identity_binary64`
3×	`add-sqr-sqrt_binary64`
3×	`add-cube-cbrt_binary64`
1×	`add-cbrt-cube_binary64`

Counts

1 → 16

Calls

1 calls:

1.0ms

(cbrt.f64 (cbrt.f64 (sin.f64 t)))

simplify114.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

762×	`fma-neg_binary64`
589×	`cancel-sign-sub-inv_binary64`
576×	`unsub-neg_binary64`
552×	`sqr-pow_binary64`
430×	`distribute-rgt-neg-in_binary64`

Counts

28 → 26

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	49	324
1	100	324
2	214	322
3	495	312
4	1277	306
5	2276	306
6	3196	306
7	4060	306
8	3913	306
9	4489	306
10	4714	306

prune411.0ms (2.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	379	0	379
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	379	8	387

Error

0.0b

Counts

387 → 8

Alt Table

Status	Error	Program
✓	0.6b	(fabs.f64 (fma.f64 (.f64 (.f64 ew (.f64 (cbrt.f64 (sin.f64 t)) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (sin.f64 t)) (cbrt.f64 (sin.f64 t)))) (cbrt.f64 (cbrt.f64 (sin.f64 t)))))) (cbrt.f64 (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	25.7b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (sqrt.f64 (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))) (sqrt.f64 (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))))
	3.5b	(fabs.f64 (fma.f64 (.f64 (.f64 ew (pow.f64 (pow.f64 (sin.f64 t) 2) 1/3)) (cbrt.f64 (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	29.9b	(fabs.f64 (fma.f64 (.f64 (.f64 ew (sqrt.f64 (sin.f64 t))) (sqrt.f64 (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	23.5b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (/.f64 (.f64 (/.f64 eh (.f64 (tan.f64 t) ew)) (.f64 eh (cos.f64 t))) (sqrt.f64 (+.f64 1 (*.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)) (/.f64 (/.f64 eh ew) (tan.f64 t))))))))
	28.9b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (cbrt.f64 (.f64 (.f64 (.f64 (.f64 eh eh) eh) (.f64 (.f64 (cos.f64 t) (cos.f64 t)) (cos.f64 t))) (.f64 (*.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))))
▶	0.8b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (.f64 (cbrt.f64 (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))) (cbrt.f64 (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))))) (cbrt.f64 (.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))))
	32.1b	(fabs.f64 (fma.f64 (.f64 (sqrt.f64 ew) (.f64 (sqrt.f64 ew) (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))

Compiler

Compiled 21191 to 3421 computations (83.9% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(.f64 (cbrt.f64 (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))) (cbrt.f64 (.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	2.6b	(/.f64 (/.f64 eh ew) (tan.f64 t))
✓	9.9b	(cbrt.f64 (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))))
	33.2b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

series4.4s (22.7%)

Counts

2 → 72

Calls

2 calls:

2.9s

(*.f64 (cbrt.f64 (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))) (cbrt.f64 (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))

1.5s

(cbrt.f64 (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))))

rewrite14.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`pow1_binary64`
8×	`add-sqr-sqrt_binary64`
7×	`pow1/3_binary64`
6×	`*-un-lft-identity_binary64`
6×	`associate-*r/_binary64`

Counts

2 → 48

Calls

2 calls:

6.0ms

(*.f64 (cbrt.f64 (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))) (cbrt.f64 (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))

3.0ms

(cbrt.f64 (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))))

simplify147.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

639×	`unswap-sqr_binary64`
453×	`cancel-sign-sub-inv_binary64`
446×	`fma-neg_binary64`
271×	`*-commutative_binary64`
261×	`fma-def_binary64`

Counts

120 → 102

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	150	4575
1	360	4329
2	1015	3756
3	2521	3278
4	4970	3278
5	4911	3278

prune795.0ms (4.1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	615	2	617
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	615	10	625

Error

0.0b

Counts

625 → 10

Alt Table

Status	Error	Program
	22.2b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 t) 2) (.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 eh (.f64 (tan.f64 t) ew)))) 2) (pow.f64 (/.f64 -1 eh) -2)))) (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))))
	23.5b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (/.f64 (.f64 (/.f64 eh (.f64 (tan.f64 t) ew)) (.f64 eh (cos.f64 t))) (sqrt.f64 (+.f64 1 (*.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)) (/.f64 (/.f64 eh ew) (tan.f64 t))))))))
✓	0.6b	(fabs.f64 (fma.f64 (.f64 (.f64 ew (.f64 (cbrt.f64 (sin.f64 t)) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (sin.f64 t)) (cbrt.f64 (sin.f64 t)))) (cbrt.f64 (cbrt.f64 (sin.f64 t)))))) (cbrt.f64 (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	25.7b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (sqrt.f64 (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))) (sqrt.f64 (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))))
	3.5b	(fabs.f64 (fma.f64 (.f64 (.f64 ew (pow.f64 (pow.f64 (sin.f64 t) 2) 1/3)) (cbrt.f64 (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	29.9b	(fabs.f64 (fma.f64 (.f64 (.f64 ew (sqrt.f64 (sin.f64 t))) (sqrt.f64 (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	26.0b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (.f64 (cbrt.f64 (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))) (cbrt.f64 (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))))) (sqrt.f64 (cbrt.f64 (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))))))
	28.9b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (cbrt.f64 (.f64 (.f64 (.f64 (.f64 eh eh) eh) (.f64 (.f64 (cos.f64 t) (cos.f64 t)) (cos.f64 t))) (.f64 (*.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))))
✓	0.8b	(fabs.f64 (fma.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (.f64 (cbrt.f64 (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))) (cbrt.f64 (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))))) (cbrt.f64 (.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))))
	32.1b	(fabs.f64 (fma.f64 (.f64 (sqrt.f64 ew) (.f64 (sqrt.f64 ew) (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))

Compiler

Compiled 41967 to 5148 computations (87.7% saved)

regimes1.7s (8.7%)

Accuracy

Total 0.1b remaining (51.3%)

Threshold costs 0.1b (51.3%)

Counts

198 → 1

Compiler

Compiled 42091 to 22574 computations (46.4% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	44
1	24	44
2	24	44

end249.0ms (1.3%)

Compiler: Compiled 564 to 260 computations (53.9% saved)

Details

analyze3.1s (16.1%)

sample6.7s (34.4%)

simplify9.0ms (0%)

prune3.0ms (0%)

localize21.0ms (0.1%)

series151.0ms (0.8%)

rewrite23.0ms (0.1%)

simplify148.0ms (0.8%)

prune234.0ms (1.2%)

localize26.0ms (0.1%)

series438.0ms (2.2%)

rewrite9.0ms (0%)

simplify95.0ms (0.5%)

prune409.0ms (2.1%)

localize31.0ms (0.2%)

series179.0ms (0.9%)

rewrite2.0ms (0%)

simplify114.0ms (0.6%)

prune411.0ms (2.1%)

localize27.0ms (0.1%)

series4.4s (22.7%)

rewrite14.0ms (0.1%)

simplify147.0ms (0.8%)

prune795.0ms (4.1%)

regimes1.7s (8.7%)

simplify3.0ms (0%)

end249.0ms (1.3%)

Profiling