Details

analyze1.6s (16.6%)

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
0%	99.8%	0.2%	10
16.4%	83.4%	0.2%	11
19.9%	79.9%	0.2%	12
21.6%	77.2%	1.2%	13
24.8%	73.7%	1.4%	14

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample49.0ms (0.5%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
4.0ms	88×	body	128	invalid

Compiler

Compiled 34 to 24 computations (29.4% saved)

simplify46.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

828×	`fma-def_binary64`
389×	`fma-neg_binary64`
130×	`cancel-sign-sub-inv_binary64`
113×	`distribute-rgt-in_binary64`
103×	`associate-/l*_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	21	13
2	42	13
3	73	13
4	144	13
5	223	13
6	319	13
7	495	13
8	678	13
9	833	13
10	889	13
11	976	13
12	982	13
13	987	13
14	914	13

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

7.4b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	7.4b	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)

Compiler

Compiled 42 to 27 computations (35.7% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 x y) (.f64 z t))
✓	7.0b	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)

series35.0ms (0.4%)

Counts

2 → 108

Calls

2 calls:

26.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
9.0ms	(-.f64 (.f64 x y) (.f64 z t))

rewrite12.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64`
10×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
9×	`times-frac_binary64`
4×	`add-cbrt-cube_binary64`

Counts

2 → 48

Calls

2 calls:

5.0ms	(-.f64 (.f64 x y) (.f64 z t))
4.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)

simplify115.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

644×	`distribute-rgt-in_binary64`
301×	`fma-neg_binary64`
270×	`associate-l_binary64`
223×	`fma-def_binary64`
213×	`associate-r_binary64`

Counts

156 → 93

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	99	2115
1	251	2035
2	743	2029
3	2355	2029
4	4590	2029
5	4996	2029
6	4923	2029

prune72.0ms (0.7%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	79	14	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	14	94

Error

7.0b

Counts

94 → 14

Alt Table

Status	Error	Program
	33.7b	(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z t) (.f64 z t))) (.f64 a (fma.f64 t z (.f64 y x))))
	31.9b	(.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)) (sqrt.f64 (/.f64 (-.f64 (.f64 x y) (*.f64 z t)) a)))
	46.1b	(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3)) (.f64 a (+.f64 (.f64 (.f64 x y) (.f64 x y)) (+.f64 (.f64 (.f64 z t) (.f64 z t)) (.f64 (.f64 x y) (.f64 z t))))))
	8.3b	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)) (cbrt.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a))) (cbrt.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)))
	35.7b	(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (sqrt.f64 (-.f64 (.f64 x y) (*.f64 z t)))) a)
▶	7.4b	(.f64 (-.f64 (.f64 x y) (*.f64 z t)) (/.f64 1 a))
	8.3b	(/.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))) a)
	7.7b	(/.f64 1 (/.f64 a (-.f64 (.f64 x y) (.f64 z t))))
	37.7b	(/.f64 (cbrt.f64 (.f64 (.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 x y) (.f64 z t))) (-.f64 (.f64 x y) (.f64 z t)))) a)
	8.3b	(.f64 (/.f64 1 (.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) (cbrt.f64 a)))
	33.4b	(/.f64 (*.f64 y x) a)
	32.7b	(neg.f64 (/.f64 (*.f64 t z) a))
	8.3b	(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))) (/.f64 a (cbrt.f64 (-.f64 (.f64 x y) (*.f64 z t)))))
	34.2b	(exp.f64 (log.f64 (/.f64 (-.f64 (.f64 y x) (.f64 t z)) a)))

Compiler

Compiled 2286 to 619 computations (72.9% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (.f64 x y) (.f64 z t))
✓	7.0b	(.f64 (-.f64 (.f64 x y) (*.f64 z t)) (/.f64 1 a))

series26.0ms (0.3%)

Counts

1 → 60

Calls

1 calls:

26.0ms

(*.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (/.f64 1 a))

rewrite10.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
11×	`times-frac_binary64`
10×	`*-un-lft-identity_binary64`
10×	`add-exp-log_binary64`

Counts

1 → 42

Calls

1 calls:

7.0ms

(*.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (/.f64 1 a))

simplify92.0ms (1%)

Algorithm

1×	egg-herbie

Rules

493×	`associate-l_binary64`
488×	`fma-neg_binary64`
416×	`associate-r_binary64`
344×	`distribute-lft-neg-out_binary64`
344×	`distribute-rgt-neg-out_binary64`

Counts

102 → 73

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	92	1553
1	243	1454
2	777	1454
3	2712	1454
4	4976	1454
5	5217	1454

prune85.0ms (0.9%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	103	2	105
Fresh	2	11	13
Picked	0	1	1
Done	0	0	0
Total	105	14	119

Error

7.0b

Counts

119 → 14

Alt Table

Status	Error	Program
	33.7b	(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z t) (.f64 z t))) (.f64 a (fma.f64 t z (.f64 y x))))
	31.9b	(.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)) (sqrt.f64 (/.f64 (-.f64 (.f64 x y) (*.f64 z t)) a)))
	46.1b	(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3)) (.f64 a (+.f64 (.f64 (.f64 x y) (.f64 x y)) (+.f64 (.f64 (.f64 z t) (.f64 z t)) (.f64 (.f64 x y) (.f64 z t))))))
	8.3b	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)) (cbrt.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a))) (cbrt.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)))
	34.2b	(exp.f64 (log.f64 (/.f64 (-.f64 (.f64 y x) (.f64 t z)) a)))
	8.3b	(.f64 (.f64 (-.f64 (.f64 x y) (.f64 z t)) (*.f64 (cbrt.f64 (/.f64 1 a)) (cbrt.f64 (/.f64 1 a)))) (cbrt.f64 (/.f64 1 a)))
	37.7b	(/.f64 (cbrt.f64 (.f64 (.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 x y) (.f64 z t))) (-.f64 (.f64 x y) (.f64 z t)))) a)
	8.3b	(.f64 (/.f64 1 (.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) (cbrt.f64 a)))
	33.4b	(/.f64 (*.f64 y x) a)
	32.7b	(neg.f64 (/.f64 (*.f64 t z) a))
	8.3b	(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))) (/.f64 a (cbrt.f64 (-.f64 (.f64 x y) (*.f64 z t)))))
✓	7.4b	(.f64 (-.f64 (.f64 x y) (*.f64 z t)) (/.f64 1 a))
▶	8.3b	(/.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))) a)
	35.7b	(.f64 (sqrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (.f64 (sqrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (/.f64 1 a)))

Compiler

Compiled 2646 to 925 computations (65% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t))))
✓	0.5b	(.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (-.f64 (.f64 x y) (*.f64 z t))))
✓	7.0b	(/.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))) a)
✓	8.1b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))

series367.0ms (3.8%)

Counts

4 → 204

Calls

4 calls:

200.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (-.f64 (.f64 x y) (*.f64 z t))))
91.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
46.0ms	(/.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))) a)
30.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t))))

rewrite82.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

122×	`cbrt-div_binary64`
61×	`flip--_binary64`
61×	`flip3--_binary64`
60×	`frac-times_binary64`
30×	`associate-*l/_binary64`

Counts

4 → 180

Calls

4 calls:

18.0ms	(/.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))) a)
15.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t))))
8.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (-.f64 (.f64 x y) (*.f64 z t))))
2.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))

simplify257.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

775×	`associate-/l*_binary64`
281×	`fma-def_binary64`
275×	`*-commutative_binary64`
155×	`sub-neg_binary64`
154×	`cancel-sign-sub-inv_binary64`

Counts

384 → 449

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	703	14360
1	2290	13632
2	5095	13632

prune490.0ms (5.1%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	653	2	655
Fresh	1	11	12
Picked	0	1	1
Done	0	1	1
Total	654	15	669

Error

7.0b

Counts

669 → 15

Alt Table

Status	Error	Program
	36.0b	(/.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x y) (.f64 z t)))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x y) (*.f64 z t)))))) a)
	32.7b	(neg.f64 (/.f64 (*.f64 t z) a))
	33.7b	(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z t) (.f64 z t))) (.f64 a (fma.f64 t z (.f64 y x))))
	31.9b	(.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)) (sqrt.f64 (/.f64 (-.f64 (.f64 x y) (*.f64 z t)) a)))
	41.2b	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 t z) 3)) (fma.f64 (.f64 t z) (fma.f64 t z (.f64 y x)) (.f64 (.f64 y x) (*.f64 y x)))) a)
▶	8.3b	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)) (cbrt.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a))) (cbrt.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)))
	34.2b	(exp.f64 (log.f64 (/.f64 (-.f64 (.f64 y x) (.f64 t z)) a)))
	8.3b	(.f64 (.f64 (-.f64 (.f64 x y) (.f64 z t)) (*.f64 (cbrt.f64 (/.f64 1 a)) (cbrt.f64 (/.f64 1 a)))) (cbrt.f64 (/.f64 1 a)))
	37.7b	(/.f64 (cbrt.f64 (.f64 (.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 x y) (.f64 z t))) (-.f64 (.f64 x y) (.f64 z t)))) a)
	8.3b	(.f64 (/.f64 1 (.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) (cbrt.f64 a)))
	33.4b	(/.f64 (*.f64 y x) a)
	8.3b	(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))) (/.f64 a (cbrt.f64 (-.f64 (.f64 x y) (*.f64 z t)))))
✓	7.4b	(.f64 (-.f64 (.f64 x y) (*.f64 z t)) (/.f64 1 a))
✓	8.3b	(/.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))) a)
	35.7b	(.f64 (sqrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (.f64 (sqrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (/.f64 1 a)))

Compiler

Compiled 36531 to 12276 computations (66.4% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)) (cbrt.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a))) (cbrt.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)))
✓	0.5b	(.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)) (cbrt.f64 (/.f64 (-.f64 (.f64 x y) (*.f64 z t)) a)))
✓	4.3b	(cbrt.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a))
	7.0b	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)

series1.5s (15.7%)

Counts

3 → 180

Calls

3 calls:

985.0ms

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

472.0ms

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

61.0ms

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

rewrite69.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

92×	`cbrt-prod_binary64`
78×	`add-sqr-sqrt_binary64`
61×	`times-frac_binary64`
50×	`*-un-lft-identity_binary64`
50×	`add-cube-cbrt_binary64`

Counts

3 → 160

Calls

3 calls:

25.0ms

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

18.0ms

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

3.0ms

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

simplify252.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

667×	`associate-/l*_binary64`
301×	`*-commutative_binary64`
282×	`fma-def_binary64`
166×	`sub-neg_binary64`
158×	`cancel-sign-sub-inv_binary64`

Counts

340 → 431

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	767	15227
1	2469	14701
2	4986	14701

prune693.0ms (7.1%)

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	861	5	866
Fresh	4	8	12
Picked	0	1	1
Done	0	2	2
Total	865	16	881

Error

3.3b

Counts

881 → 16

Alt Table

Status	Error	Program
	31.9b	(.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)) (sqrt.f64 (/.f64 (-.f64 (.f64 x y) (*.f64 z t)) a)))
	8.6b	(.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 y x) (.f64 t z)) a)) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 y x) (.f64 t z)) a)))) (.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 y x) (.f64 t z)) a))) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 y x) (.f64 t z)) a))))) (cbrt.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)))
	33.7b	(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z t) (.f64 z t))) (.f64 a (fma.f64 t z (.f64 y x))))
✓	8.3b	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)) (cbrt.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a))) (cbrt.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)))
	33.8b	(.f64 (exp.f64 (.f64 2 (log.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 y x) (.f64 t z)) a))))) (cbrt.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)))
	41.2b	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 t z) 3)) (fma.f64 (.f64 t z) (fma.f64 t z (.f64 y x)) (.f64 (.f64 y x) (*.f64 y x)))) a)
	37.7b	(/.f64 (cbrt.f64 (.f64 (.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 x y) (.f64 z t))) (-.f64 (.f64 x y) (.f64 z t)))) a)
	8.3b	(.f64 (/.f64 1 (.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) (cbrt.f64 a)))
	33.4b	(*.f64 (/.f64 y a) x)
	35.7b	(.f64 (sqrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (.f64 (sqrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (/.f64 1 a)))
	7.4b	(pow.f64 (/.f64 (-.f64 (.f64 y x) (.f64 t z)) a) 1)
	8.3b	(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))) (/.f64 a (cbrt.f64 (-.f64 (.f64 x y) (*.f64 z t)))))
✓	7.4b	(.f64 (-.f64 (.f64 x y) (*.f64 z t)) (/.f64 1 a))
✓	8.3b	(/.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))) a)
	8.3b	(.f64 (.f64 (-.f64 (.f64 x y) (.f64 z t)) (*.f64 (cbrt.f64 (/.f64 1 a)) (cbrt.f64 (/.f64 1 a)))) (cbrt.f64 (/.f64 1 a)))
	55.4b	(.f64 (exp.f64 (.f64 1/3 (-.f64 (log.f64 (/.f64 (pow.f64 t 2) (pow.f64 a 2))) (.f64 2 (log.f64 (/.f64 -1 z)))))) (cbrt.f64 (/.f64 (-.f64 (.f64 x y) (*.f64 z t)) a)))

Compiler

Compiled 47015 to 12865 computations (72.6% saved)

regimes2.1s (21.8%)

Accuracy

Total 1.0b remaining (20.2%)

Threshold costs 0b (0%)

Counts

132 → 3

Compiler

Compiled 35678 to 19504 computations (45.3% saved)

bsearch5.0ms (0.1%)

Compiler: Compiled 14 to 9 computations (35.7% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary64`
6×	`+-commutative_binary64`
6×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	61
1	35	61
2	49	61
3	57	61
4	62	61
5	63	61
6	63	61

end43.0ms (0.4%)

Remove: (sort z t)
Compiler: Compiled 322 to 147 computations (54.3% saved)

sample1.6s (16.6%)

Algorithm

1×

intervals

Results

363.0ms	8000×	body	128	valid
134.0ms	2991×	body	128	invalid

Compiler

Compiled 535 to 268 computations (49.9% saved)

Iter	Nodes	Cost
0	10	13
1	21	13
2	42	13
3	73	13
4	144	13
5	223	13
6	319	13
7	495	13
8	678	13
9	833	13
10	889	13
11	976	13
12	982	13
13	987	13
14	914	13

Iter	Nodes	Cost
0	10	13
1	21	13
2	42	13
3	73	13
4	144	13
5	223	13
6	319	13
7	495	13
8	678	13
9	833	13
10	889	13
11	976	13
12	982	13
13	987	13
14	914	13

Details

analyze1.6s (16.6%)

sample49.0ms (0.5%)

simplify46.0ms (0.5%)

prune2.0ms (0%)

localize7.0ms (0.1%)

series35.0ms (0.4%)

rewrite12.0ms (0.1%)

simplify115.0ms (1.2%)

prune72.0ms (0.7%)

localize8.0ms (0.1%)

series26.0ms (0.3%)

rewrite10.0ms (0.1%)

simplify92.0ms (1%)

prune85.0ms (0.9%)

localize10.0ms (0.1%)

series367.0ms (3.8%)

rewrite82.0ms (0.8%)

simplify257.0ms (2.7%)

prune490.0ms (5.1%)

localize10.0ms (0.1%)

series1.5s (15.7%)

rewrite69.0ms (0.7%)

simplify252.0ms (2.6%)

prune693.0ms (7.1%)

regimes2.1s (21.8%)

bsearch5.0ms (0.1%)

simplify5.0ms (0%)

end43.0ms (0.4%)

sample1.6s (16.6%)

Profiling

Iter	Nodes	Cost
0	10	13
1	21	13
2	42	13
3	73	13
4	144	13
5	223	13
6	319	13
7	495	13
8	678	13
9	833	13
10	889	13
11	976	13
12	982	13
13	987	13
14	914	13