Details

analyze331.0ms (15.9%)

Algorithm

1×	search
2×	egg-herbie

Rules

1487×	`div-sub_binary64`
708×	`unsub-neg_binary64`
664×	`sub-neg_binary64`
621×	`times-frac_binary64`
503×	`distribute-rgt-in_binary64`
470×	`distribute-lft-in_binary64`
337×	`associate-/l*_binary64`
239×	`cancel-sign-sub-inv_binary64`
146×	`associate-/l/_binary64`
144×	`neg-mul-1_binary64`
114×	`distribute-neg-in_binary64`
113×	`associate-/r*_binary64`
111×	`distribute-rgt-neg-in_binary64`
107×	`distribute-neg-frac_binary64`
105×	`distribute-lft-neg-in_binary64`
102×	`distribute-frac-neg_binary64`
93×	`*-commutative_binary64`
91×	`neg-sub0_binary64` `distribute-lft-neg-out_binary64`
83×	`associate--r-_binary64` `associate--r+_binary64`
72×	`associate--l-_binary64`
67×	`distribute-rgt-neg-out_binary64`
40×	`associate-/r/_binary64`
38×	`+-commutative_binary64`
30×	`remove-double-neg_binary64`
27×	`/-rgt-identity_binary64` `mul0-rgt_binary64`
26×	`div0_binary64` `associate-*l/_binary64`
25×	`mul0-lft_binary64`
23×	`*-lft-identity_binary64`
20×	`associate-r_binary64` `associate-+l-_binary64`
19×	`remove-double-div_binary64`
16×	`sub0-neg_binary64` `--rgt-identity_binary64`
15×	`lft-mult-inverse_binary64`
12×	`associate-l_binary64`
10×	`*-rgt-identity_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
8×	`distribute-rgt-out--_binary64`
7×	`+-rgt-identity_binary64`
6×	`cancel-sign-sub_binary64`
4×	`distribute-neg-out_binary64` `associate-+l+_binary64`
3×	`+-lft-identity_binary64` `*-inverses_binary64` `rgt-mult-inverse_binary64`
2×	`mul-1-neg_binary64` `associate--l+_binary64`
1×	`1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `+-inverses_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-*r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	40
1	35	40
2	57	40
3	94	40
4	179	40
5	331	40
6	748	40
7	1370	40
8	2251	40
9	1733	40
10	1837	40
11	1973	40
12	2067	40
13	1847	40
14	2343	40
15	1871	40
16	1871	40
17	2123	40
18	1883	40
19	1883	40
20	1883	40
21	1723	40
0	3	3
1	3	3

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
18.7%	81.1%	0.1%	6
40.6%	59.3%	0.1%	7
45.2%	54.6%	0.1%	8
65.5%	34.3%	0.1%	9
78%	21.8%	0.1%	10
80%	19.5%	0.5%	11
81.7%	17.7%	0.5%	12
87.9%	11.3%	0.8%	13
88.3%	10.1%	1.6%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample16.0ms (0.8%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	9×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify82.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

530×	`div-sub_binary64`
326×	`times-frac_binary64`
174×	`associate-/l/_binary64`
166×	`sub-neg_binary64`
160×	`associate-/l*_binary64`
123×	`associate-/r*_binary64`
121×	`associate-/r/_binary64`
106×	`distribute-rgt-in_binary64`
103×	`distribute-lft-in_binary64`
92×	`cancel-sign-sub-inv_binary64`
76×	`unsub-neg_binary64`
61×	`distribute-neg-frac_binary64`
41×	`distribute-frac-neg_binary64`
40×	`neg-mul-1_binary64`
34×	`associate-*l/_binary64`
29×	`associate--r+_binary64`
27×	`neg-sub0_binary64` `associate--r-_binary64` `associate--l-_binary64`
24×	`*-commutative_binary64`
23×	`distribute-rgt-neg-in_binary64` `associate-*r/_binary64`
22×	`associate-r_binary64`
21×	`+-commutative_binary64`
20×	`mul0-rgt_binary64` `div0_binary64` `distribute-lft-neg-out_binary64`
19×	`distribute-rgt-neg-out_binary64`
18×	`distribute-lft-neg-in_binary64`
17×	`distribute-neg-in_binary64`
15×	`*-lft-identity_binary64` `mul0-lft_binary64`
12×	`associate-l_binary64`
11×	`sub0-neg_binary64` `associate-+l-_binary64`
9×	`associate-+l+_binary64`
8×	`+-lft-identity_binary64` `associate-+r-_binary64`
6×	`*-rgt-identity_binary64` `associate-+r+_binary64`
5×	`+-rgt-identity_binary64`
4×	`/-rgt-identity_binary64` `lft-mult-inverse_binary64`
3×	`remove-double-neg_binary64` `distribute-neg-out_binary64` `distribute-lft-out_binary64`
2×	`mul-1-neg_binary64` `*-inverses_binary64` `associate--l+_binary64`
1×	`1-exp_binary64` `--rgt-identity_binary64` `distribute-rgt-out--_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `+-inverses_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `count-2_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	13	10
2	21	10
3	35	10
4	59	10
5	105	10
6	198	10
7	371	10
8	664	10
9	998	10
10	1100	10
11	1117	10
12	1088	10
13	1095	10
14	1097	10
15	1105	10
16	1105	10
17	1003	10

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

1 → 1

Compiler

Compiled 7 to 6 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 z y))

rewrite39.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

37×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
25×	`times-frac_binary64`
13×	`add-cube-cbrt_binary64`
12×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`associate-/l_binary64` `associate-/r_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`flip3--_binary64` `associate-/l/_binary64` `flip--_binary64` `associate-/r/_binary64`
1×	`pow1_binary64` `div-exp_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64`

Counts

1 → 52

Calls

1 calls:

9.0ms

(/.f64 (-.f64 x y) (-.f64 z y))

Compiler

Compiled 680 to 156 computations (77.1% saved)

series80.0ms (3.8%)

Error

0.0b

Counts

1 → 30

Calls

1 calls:

60.0ms

(/.f64 (-.f64 x y) (-.f64 z y))

Compiler

Compiled 1152 to 785 computations (31.9% saved)

simplify99.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

506×	`associate--l+_binary64`
373×	`associate--r+_binary64`
268×	`times-frac_binary64`
250×	`associate-/l*_binary64`
212×	`div-sub_binary64`
211×	`sub-neg_binary64`
201×	`cancel-sign-sub-inv_binary64`
199×	`associate-/r*_binary64`
186×	`distribute-rgt-in_binary64`
160×	`associate-*l/_binary64`
153×	`distribute-lft-in_binary64`
114×	`associate-l_binary64`
111×	`associate-r/_binary64` `associate-r*_binary64`
95×	`associate-/l/_binary64`
94×	`associate-/r/_binary64`
79×	`+-commutative_binary64`
67×	`distribute-neg-in_binary64`
58×	`associate-+l+_binary64`
47×	`neg-sub0_binary64`
45×	`neg-mul-1_binary64`
41×	`unsub-neg_binary64`
38×	`associate-+r+_binary64`
36×	`distribute-neg-frac_binary64`
22×	`*-commutative_binary64`
20×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `associate--l-_binary64`
19×	`sqr-pow_binary64`
17×	`distribute-lft-neg-out_binary64`
15×	`cube-prod_binary64` `distribute-rgt-neg-out_binary64`
14×	`unswap-sqr_binary64` `distribute-rgt-out_binary64`
11×	`distribute-rgt1-in_binary64`
10×	`*-rgt-identity_binary64`
9×	`cube-unmult_binary64`
7×	`cube-div_binary64` `/-rgt-identity_binary64` `distribute-lft-out_binary64`
5×	`pow-plus_binary64` `distribute-rgt-out--_binary64`
4×	`log-div_binary64` `unpow3_binary64` `difference-of-squares_binary64` `associate--r-_binary64`
3×	`exp-prod_binary64` `exp-diff_binary64` `exp-sum_binary64`
2×	`log-prod_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `cube-mult_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `mul-1-neg_binary64`
1×	`1-exp_binary64` `cube-neg_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `div0_binary64` `-inverses_binary64` `distribute-lft1-in_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

82 → 44

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	170	2011
1	450	1951
2	1400	1813
3	4799	1807
4	5162	1807

prune21.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	42	2	44
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	3	45

Error

0.0b

Counts

45 → 3

Compiler

Compiled 563 to 196 computations (65.2% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

1.0b	(-.f64 (+.f64 1 (/.f64 z y)) (/.f64 x y))

rewrite37.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64` `cancel-sign-sub-inv_binary64`
10×	`times-frac_binary64`
8×	`add-cube-cbrt_binary64`
6×	`add-log-exp_binary64`
2×	`diff-log_binary64` `frac-sub_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
1×	`sum-log_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3-+_binary64` `flip-+_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `div-inv_binary64` `distribute-lft-out_binary64` `associate--l+_binary64`

Counts

1 → 32

Calls

1 calls:

13.0ms

(-.f64 (+.f64 1 (/.f64 z y)) (/.f64 x y))

Compiler

Compiled 600 to 264 computations (56% saved)

series44.0ms (2.1%)

Error

0.0b

Counts

1 → 18

Calls

1 calls:

38.0ms

(-.f64 (+.f64 1 (/.f64 z y)) (/.f64 x y))

Compiler

Compiled 237 to 209 computations (11.8% saved)

simplify81.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

350×	`div-sub_binary64`
273×	`distribute-rgt-in_binary64`
259×	`distribute-lft-in_binary64`
216×	`associate-*l/_binary64`
205×	`associate-l_binary64` `associate-r_binary64`
202×	`cancel-sign-sub-inv_binary64`
198×	`distribute-lft-neg-out_binary64`
195×	`associate-/l*_binary64`
190×	`exp-prod_binary64`
185×	`associate-*r/_binary64`
183×	`distribute-rgt-neg-out_binary64`
161×	`unsub-neg_binary64`
127×	`sub-neg_binary64`
115×	`distribute-neg-frac_binary64`
111×	`*-commutative_binary64`
107×	`distribute-rgt-neg-in_binary64`
83×	`distribute-rgt-out_binary64`
82×	`cube-prod_binary64`
79×	`neg-sub0_binary64`
74×	`distribute-lft-neg-in_binary64`
70×	`neg-mul-1_binary64`
64×	`times-frac_binary64` `associate-/l/_binary64`
63×	`exp-sum_binary64` `associate-+l+_binary64`
60×	`exp-diff_binary64`
58×	`cube-div_binary64`
54×	`+-commutative_binary64`
53×	`swap-sqr_binary64` `distribute-frac-neg_binary64`
49×	`sqr-pow_binary64` `associate-/r*_binary64`
44×	`associate-+r+_binary64`
41×	`distribute-neg-in_binary64`
38×	`distribute-lft-out_binary64`
37×	`sqr-neg_binary64` `associate-/r/_binary64`
34×	`*-lft-identity_binary64`
31×	`unswap-sqr_binary64`
30×	`unpow3_binary64`
28×	`*-rgt-identity_binary64`
21×	`mul0-rgt_binary64` `mul0-lft_binary64`
20×	`cube-mult_binary64`
19×	`exp-neg_binary64`
17×	`associate-+l-_binary64`
16×	`cube-unmult_binary64` `associate--r+_binary64`
15×	`associate--l+_binary64`
14×	`difference-of-squares_binary64`
13×	`associate-+r-_binary64`
12×	`sub0-neg_binary64` `div0_binary64`
11×	`+-rgt-identity_binary64`
10×	`distribute-rgt1-in_binary64`
9×	`distribute-rgt-out--_binary64`
8×	`/-rgt-identity_binary64`
7×	`pow-plus_binary64` `rem-sqrt-square_binary64`
5×	`div-exp_binary64`
4×	`cube-neg_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64`
3×	`rem-square-sqrt_binary64` `pow-sqr_binary64`
2×	`log-prod_binary64` `unpow1/2_binary64` `rem-3cbrt-lft_binary64` `difference-of-sqr-1_binary64` `distribute-lft-out--_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `associate--r-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

50 → 39

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	115	645
1	315	624
2	917	621
3	2995	620
4	4301	620
5	5047	620

prune12.0ms (0.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	39	3	42

Error

0.0b

Counts

42 → 3

Compiler

Compiled 246 to 116 computations (52.8% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 z y)))
0.1b	(/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 z y))

rewrite103.0ms (4.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

118×	`add-sqr-sqrt_binary64`
102×	`*-un-lft-identity_binary64`
84×	`times-frac_binary64`
65×	`sqrt-prod_binary64`
46×	`associate-r_binary64`
44×	`add-cube-cbrt_binary64`
29×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-/l_binary64` `associate-l*_binary64`
6×	`sqrt-div_binary64` `unswap-sqr_binary64`
5×	`flip3--_binary64` `flip--_binary64` `associate-/r*_binary64`
4×	`pow1_binary64` `associate-/r/_binary64`
2×	`div-exp_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `associate-/l/_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64`

Counts

2 → 147

Calls

2 calls:

28.0ms	(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 z y)))
9.0ms	(/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 z y))

Compiler

Compiled 2582 to 410 computations (84.1% saved)

series118.0ms (5.7%)

Error

0.0b

Counts

2 → 42

Calls

2 calls:

59.0ms	(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 z y)))
38.0ms	(/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 z y))

Compiler

Compiled 1830 to 1193 computations (34.8% saved)

simplify202.0ms (9.7%)

Algorithm

1×	egg-herbie

Rules

719×	`times-frac_binary64`
314×	`associate-/l/_binary64`
220×	`cancel-sign-sub-inv_binary64`
216×	`sub-neg_binary64`
179×	`div-sub_binary64`
160×	`distribute-rgt-in_binary64`
136×	`distribute-lft-in_binary64`
127×	`associate-/l*_binary64`
122×	`associate-l_binary64`
113×	`associate-r_binary64`
88×	`+-commutative_binary64`
84×	`associate--l+_binary64`
83×	`*-commutative_binary64`
78×	`associate-*r/_binary64`
74×	`associate--r+_binary64`
71×	`associate-*l/_binary64`
66×	`distribute-neg-in_binary64` `associate-/r*_binary64`
60×	`associate-+l+_binary64`
56×	`unswap-sqr_binary64`
45×	`neg-sub0_binary64`
43×	`*-rgt-identity_binary64`
40×	`distribute-rgt-neg-in_binary64`
39×	`neg-mul-1_binary64` `unsub-neg_binary64` `distribute-neg-frac_binary64`
38×	`sqr-pow_binary64` `associate-+r+_binary64`
36×	`distribute-lft-neg-in_binary64`
35×	`*-lft-identity_binary64`
31×	`log-div_binary64`
30×	`cube-prod_binary64`
23×	`log-prod_binary64`
18×	`exp-prod_binary64` `/-rgt-identity_binary64` `associate-/r/_binary64`
16×	`cube-div_binary64`
15×	`distribute-rgt-out_binary64`
12×	`distribute-lft-neg-out_binary64`
11×	`cube-unmult_binary64` `distribute-rgt1-in_binary64`
10×	`swap-sqr_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-out_binary64`
9×	`unpow3_binary64`
8×	`log-rec_binary64` `rem-sqrt-square_binary64` `difference-of-squares_binary64`
7×	`exp-sum_binary64`
6×	`pow-plus_binary64` `mul-1-neg_binary64`
5×	`unpow1/2_binary64` `cube-mult_binary64` `distribute-rgt-out--_binary64`
4×	`unpow2_binary64` `unpow1_binary64`
3×	`exp-diff_binary64` `rem-square-sqrt_binary64` `associate-+r-_binary64`
2×	`+-rgt-identity_binary64` `pow-sqr_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `div0_binary64` `*-inverses_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--r-_binary64` `associate-+l-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64`

Counts

189 → 131

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	272	4439
1	654	4289
2	2179	4091
3	4615	4085
4	4998	4085
5	4972	4085

prune42.0ms (2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	131	3	134

Error

0.0b

Counts

134 → 3

Compiler

Compiled 1499 to 364 computations (75.7% saved)

regimes170.0ms (8.2%)

Accuracy

Total 0.0b remaining (40%)

Threshold costs 0.0b (40%)

Compiler

Compiled 1086 to 936 computations (13.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`sub-neg_binary64` `+-commutative_binary64`
2×	`neg-mul-1_binary64` `neg-sub0_binary64` `*-commutative_binary64`
1×	`distribute-neg-frac_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	12	16
2	21	16
3	25	16
4	27	16
5	27	16

end1.0ms (0%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

sample585.0ms (28.1%)

Algorithm

1×

intervals

Results

205.0ms	8000×	body	128	valid
5.0ms	229×	body	128	invalid

Compiler

Compiled 62 to 58 computations (6.5% saved)

Details

analyze331.0ms (15.9%)

sample16.0ms (0.8%)

simplify82.0ms (3.9%)

prune1.0ms (0.1%)

localize5.0ms (0.2%)

rewrite39.0ms (1.9%)

series80.0ms (3.8%)

simplify99.0ms (4.7%)

prune21.0ms (1%)

localize6.0ms (0.3%)

rewrite37.0ms (1.8%)

series44.0ms (2.1%)

simplify81.0ms (3.9%)

prune12.0ms (0.6%)

localize7.0ms (0.3%)

rewrite103.0ms (4.9%)

series118.0ms (5.7%)

simplify202.0ms (9.7%)

prune42.0ms (2%)

regimes170.0ms (8.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

end1.0ms (0%)

sample585.0ms (28.1%)

Profiling