Details

analyze715.0ms (9.6%)

Algorithm

1×	search
2×	egg-herbie

Rules

674×	`div-sub_binary64`
618×	`unsub-neg_binary64`
585×	`neg-mul-1_binary64`
552×	`times-frac_binary64`
314×	`distribute-rgt-in_binary64`
310×	`sub-neg_binary64`
262×	`distribute-frac-neg_binary64`
237×	`associate-+l+_binary64`
224×	`distribute-neg-out_binary64`
218×	`distribute-lft-in_binary64`
178×	`neg-sub0_binary64`
138×	`+-commutative_binary64`
111×	`*-commutative_binary64`
107×	`cancel-sign-sub_binary64`
104×	`associate--r+_binary64`
96×	`associate-/l*_binary64` `associate-+r+_binary64`
80×	`distribute-rgt-neg-out_binary64`
76×	`associate-l_binary64`
71×	`distribute-lft-neg-out_binary64`
65×	`associate-r_binary64`
61×	`associate-+l-_binary64`
56×	`distribute-rgt-out_binary64`
50×	`sub0-neg_binary64`
49×	`distribute-neg-in_binary64`
42×	`cancel-sign-sub-inv_binary64`
41×	`associate-/r*_binary64`
39×	`distribute-lft-neg-in_binary64`
36×	`mul0-rgt_binary64` `mul0-lft_binary64`
31×	`div0_binary64`
30×	`distribute-neg-frac_binary64` `associate-/r/_binary64`
29×	`distribute-rgt-neg-in_binary64`
28×	`remove-double-neg_binary64`
27×	`associate--r-_binary64`
24×	`associate-/l/_binary64` `associate-*l/_binary64`
17×	`associate-*r/_binary64`
9×	`associate-+r-_binary64`
6×	`swap-sqr_binary64`
4×	`sqr-neg_binary64` `mul-1-neg_binary64` `+-rgt-identity_binary64` `distribute-lft-out_binary64`
3×	`--rgt-identity_binary64`
1×	`1-exp_binary64` `*-rgt-identity_binary64` `swap-z-t`
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` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_binary64` `-lft-identity_binary64` `+-lft-identity_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_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` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--l-_binary64` `associate--l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	112
1	80	112
2	212	112
3	563	112
4	1277	112
5	2337	112
6	4739	112
7	5061	112
0	4	4
1	4	4

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
12.5%	87.3%	0.2%	7
15.6%	84.2%	0.2%	8
28.1%	71.7%	0.2%	9
37.4%	62.4%	0.2%	10
43.7%	56.1%	0.2%	11
53%	46.8%	0.2%	12
64.1%	35.6%	0.3%	13
66.7%	32.8%	0.5%	14

Symmetry

(sort z t)

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample31.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	14×	body	128	invalid

Compiler

Compiled 23 to 25 computations (-8.7% saved)

simplify172.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1286×	`div-sub_binary64`
719×	`unsub-neg_binary64`
499×	`sub-neg_binary64`
472×	`neg-sub0_binary64`
443×	`neg-mul-1_binary64`
433×	`*-commutative_binary64`
365×	`associate-/l/_binary64`
327×	`times-frac_binary64`
310×	`distribute-lft-neg-in_binary64`
309×	`distribute-frac-neg_binary64` `distribute-neg-in_binary64`
269×	`associate-/r*_binary64`
258×	`distribute-neg-frac_binary64`
254×	`associate-/l*_binary64`
253×	`distribute-neg-out_binary64`
207×	`distribute-rgt-neg-in_binary64`
194×	`distribute-rgt-neg-out_binary64`
192×	`+-commutative_binary64`
190×	`distribute-rgt-in_binary64`
186×	`associate--r+_binary64`
158×	`distribute-lft-neg-out_binary64`
144×	`associate--r-_binary64`
137×	`cancel-sign-sub-inv_binary64`
134×	`remove-double-neg_binary64`
126×	`distribute-lft-in_binary64`
102×	`associate-+l-_binary64`
100×	`/-rgt-identity_binary64`
89×	`associate-+l+_binary64`
84×	`distribute-lft-out--_binary64`
83×	`associate-r_binary64` `associate-+r-_binary64`
77×	`associate-+r+_binary64`
65×	`associate-l_binary64`
62×	`associate--l+_binary64`
60×	`div0_binary64`
53×	`distribute-rgt-out--_binary64`
51×	`associate-/r/_binary64`
47×	`remove-double-div_binary64`
45×	`distribute-rgt-out_binary64`
41×	`*-rgt-identity_binary64`
35×	`distribute-lft-out_binary64`
33×	`sub0-neg_binary64`
30×	`associate--l-_binary64`
25×	`associate-*l/_binary64`
21×	`*-lft-identity_binary64`
20×	`mul0-rgt_binary64`
18×	`mul0-lft_binary64`
17×	`associate-*r/_binary64`
15×	`--rgt-identity_binary64`
14×	`cancel-sign-sub_binary64`
12×	`mul-1-neg_binary64`
5×	`+-rgt-identity_binary64`
2×	`swap-sqr_binary64` `distribute-rgt1-in_binary64`
1×	`1-exp_binary64` `sqr-neg_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` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `+-lft-identity_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	22	16
2	50	16
3	114	16
4	267	16
5	485	16
6	1022	16
7	2057	16
8	3037	16
9	3202	16
10	3414	16
11	3635	16
12	3718	16
13	4884	16
14	4496	16
15	4758	16
16	5014	16

prune1.0ms (0%)

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

0.6b

Counts

1 → 1

Compiler

Compiled 11 to 10 computations (9.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 y z) (-.f64 y t))
6.8b	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))

rewrite97.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64` `flip3--_binary64` `flip--_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-cube-cbrt_binary64` `frac-times_binary64` `associate-/r/_binary64`
6×	`cancel-sign-sub-inv_binary64`
5×	`associate-l_binary64` `associate-r_binary64`
4×	`pow1_binary64` `associate-l/_binary64` `associate-r/_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
3×	`times-frac_binary64` `associate-/l*_binary64`
2×	`prod-exp_binary64` `div-exp_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `cbrt-unprod_binary64` `sub-neg_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/r_binary64` `pow-prod-down_binary64` `unswap-sqr_binary64` `-commutative_binary64`

Counts

2 → 67

Calls

2 calls:

10.0ms	(*.f64 (-.f64 y z) (-.f64 y t))
9.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))

Compiler

Compiled 1317 to 423 computations (67.9% saved)

series185.0ms (2.5%)

Error

0.6b

Counts

2 → 43

Calls

2 calls:

124.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))
43.0ms	(*.f64 (-.f64 y z) (-.f64 y t))

Compiler

Compiled 2364 to 1652 computations (30.1% saved)

simplify84.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

740×	`distribute-rgt-in_binary64`
685×	`distribute-lft-in_binary64`
205×	`times-frac_binary64`
177×	`associate-/r*_binary64`
139×	`associate-/l*_binary64`
121×	`associate-l_binary64`
119×	`cancel-sign-sub-inv_binary64`
110×	`associate-r_binary64`
105×	`unswap-sqr_binary64`
101×	`*-commutative_binary64`
96×	`sub-neg_binary64`
68×	`distribute-rgt-neg-in_binary64`
61×	`distribute-rgt-neg-out_binary64`
60×	`distribute-lft-neg-out_binary64`
58×	`distribute-lft-neg-in_binary64`
50×	`neg-sub0_binary64` `+-commutative_binary64`
47×	`distribute-neg-frac_binary64`
46×	`neg-mul-1_binary64` `distribute-neg-in_binary64`
41×	`sqr-pow_binary64`
30×	`associate-*l/_binary64`
28×	`associate-*r/_binary64`
25×	`div-sub_binary64`
23×	`distribute-rgt-out_binary64`
22×	`associate--r+_binary64`
19×	`unsub-neg_binary64` `associate-/r/_binary64`
18×	`*-lft-identity_binary64`
16×	`*-rgt-identity_binary64` `associate-+l+_binary64`
15×	`associate-+r+_binary64`
14×	`exp-prod_binary64`
13×	`cube-prod_binary64`
10×	`swap-sqr_binary64` `associate--l+_binary64`
9×	`log-prod_binary64` `difference-of-squares_binary64`
8×	`exp-sum_binary64` `/-rgt-identity_binary64`
7×	`distribute-rgt-out--_binary64`
6×	`log-div_binary64`
5×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `distribute-lft-out_binary64`
4×	`unpow3_binary64` `exp-diff_binary64` `cube-unmult_binary64` `cube-mult_binary64` `mul-1-neg_binary64`
3×	`distribute-lft-out--_binary64`
2×	`log-pow_binary64` `cube-div_binary64` `remove-double-neg_binary64` `div0_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64`
1×	`pow-plus_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `+-rgt-identity_binary64` `pow-sqr_binary64` `distribute-lft1-in_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-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-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_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-neg-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64`

Counts

110 → 79

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	212	2333
1	593	2153
2	2420	2084
3	5573	2084

prune49.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	75	4	79
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	75	5	80

Error

0.0b

Counts

80 → 5

Compiler

Compiled 918 to 389 computations (57.6% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (-.f64 y t))
0.6b	(/.f64 1 (/.f64 (-.f64 y z) (/.f64 x (-.f64 y t))))
1.7b	(/.f64 (-.f64 y z) (/.f64 x (-.f64 y t)))

rewrite684.0ms (9.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

1260×	`times-frac_binary64`
844×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
468×	`add-cube-cbrt_binary64`
188×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
136×	`associate-/r*_binary64`
60×	`associate-/r/_binary64`
33×	`div-inv_binary64`
31×	`add-exp-log_binary64`
28×	`flip3--_binary64` `flip--_binary64`
19×	`div-exp_binary64` `add-cbrt-cube_binary64`
11×	`associate-/l*_binary64`
10×	`cbrt-undiv_binary64`
4×	`pow1_binary64`
3×	`add-log-exp_binary64` `frac-2neg_binary64` `clear-num_binary64` `1-exp_binary64` `rec-exp_binary64`
2×	`associate-/l/_binary64`
1×	`div-sub_binary64` `inv-pow_binary64` `pow-flip_binary64`

Counts

3 → 654

Calls

3 calls:

31.0ms	(/.f64 1 (/.f64 (-.f64 y z) (/.f64 x (-.f64 y t))))
13.0ms	(/.f64 (-.f64 y z) (/.f64 x (-.f64 y t)))
5.0ms	(/.f64 x (-.f64 y t))

Compiler

Compiled 14279 to 4499 computations (68.5% saved)

series289.0ms (3.9%)

Error

0.0b

Counts

3 → 67

Calls

3 calls:

126.0ms	(/.f64 1 (/.f64 (-.f64 y z) (/.f64 x (-.f64 y t))))
81.0ms	(/.f64 (-.f64 y z) (/.f64 x (-.f64 y t)))
42.0ms	(/.f64 x (-.f64 y t))

Compiler

Compiled 3508 to 2491 computations (29% saved)

simplify695.0ms (9.4%)

Algorithm

1×	egg-herbie

Rules

902×	`associate-/r/_binary64`
507×	`associate-/l/_binary64`
341×	`times-frac_binary64`
151×	`distribute-rgt-in_binary64`
141×	`distribute-lft-in_binary64`
121×	`associate-/l*_binary64`
111×	`div-sub_binary64`
109×	`sub-neg_binary64`
39×	`*-commutative_binary64`
38×	`log-div_binary64`
34×	`neg-sub0_binary64`
31×	`associate-/r*_binary64`
29×	`neg-mul-1_binary64`
28×	`distribute-neg-in_binary64` `+-commutative_binary64`
25×	`exp-prod_binary64`
24×	`log-prod_binary64`
20×	`remove-double-div_binary64`
19×	`cancel-sign-sub-inv_binary64` `distribute-neg-frac_binary64`
18×	`cube-prod_binary64` `sqr-pow_binary64`
17×	`cube-div_binary64`
14×	`/-rgt-identity_binary64`
13×	`associate-*r/_binary64`
12×	`log-rec_binary64`
10×	`unswap-sqr_binary64` `distribute-rgt-neg-in_binary64`
9×	`mul-1-neg_binary64`
8×	`exp-sum_binary64` `associate--r+_binary64` `associate-+r+_binary64`
7×	`distribute-lft-neg-in_binary64`
5×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64` `associate-l_binary64` `associate-r*_binary64` `associate--l+_binary64`
4×	`log-pow_binary64` `exp-diff_binary64` `cube-unmult_binary64` `swap-sqr_binary64` `distribute-rgt-out_binary64`
3×	`unpow3_binary64` `cube-mult_binary64` `unsub-neg_binary64` `associate--r-_binary64`
2×	`*-rgt-identity_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64`
1×	`pow-plus_binary64` `1-exp_binary64` `exp-1-e_binary64` `*-lft-identity_binary64` `sub0-neg_binary64` `distribute-lft-neg-out_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` `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` `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-square-sqrt_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64`

Counts

721 → 589

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	691	22770
1	1833	22390
2	4828	22390
3	4994	22390
4	4992	22390

prune318.0ms (4.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	588	1	589
Fresh	0	3	3
Picked	0	1	1
Done	1	0	1
Total	589	5	594

Error

Counts

594 → 5

Compiler

Compiled 7988 to 2449 computations (69.3% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.2b	(*.f64 (/.f64 1 x) (-.f64 y t))
0.6b	(/.f64 1 (.f64 (-.f64 y z) (.f64 (/.f64 1 x) (-.f64 y t))))
2.1b	(.f64 (-.f64 y z) (.f64 (/.f64 1 x) (-.f64 y t)))

rewrite246.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

81×	`add-exp-log_binary64`
40×	`prod-exp_binary64`
34×	`frac-times_binary64`
31×	`add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
26×	`flip3--_binary64` `flip--_binary64`
25×	`*-un-lft-identity_binary64`
24×	`associate-*r/_binary64`
22×	`div-exp_binary64`
20×	`add-cube-cbrt_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
18×	`cancel-sign-sub-inv_binary64` `associate-l_binary64`
17×	`associate-/r/_binary64`
16×	`pow1_binary64`
14×	`times-frac_binary64`
12×	`cbrt-unprod_binary64`
11×	`1-exp_binary64` `rec-exp_binary64` `associate-*l/_binary64`
7×	`pow-prod-down_binary64` `cbrt-undiv_binary64`
6×	`sub-neg_binary64` `associate-r_binary64`
3×	`add-log-exp_binary64` `pow-flip_binary64` `associate-/l*_binary64` `unswap-sqr_binary64`
2×	`difference-of-squares_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64` `div-inv_binary64`
1×	`inv-pow_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/r*_binary64`

Counts

3 → 166

Calls

3 calls:

15.0ms	(/.f64 1 (.f64 (-.f64 y z) (.f64 (/.f64 1 x) (-.f64 y t))))
14.0ms	(.f64 (-.f64 y z) (.f64 (/.f64 1 x) (-.f64 y t)))
10.0ms	(*.f64 (/.f64 1 x) (-.f64 y t))

Compiler

Compiled 3941 to 1922 computations (51.2% saved)

series274.0ms (3.7%)

Error

Counts

3 → 61

Calls

3 calls:

124.0ms	(/.f64 1 (.f64 (-.f64 y z) (.f64 (/.f64 1 x) (-.f64 y t))))
78.0ms	(.f64 (-.f64 y z) (.f64 (/.f64 1 x) (-.f64 y t)))
34.0ms	(*.f64 (/.f64 1 x) (-.f64 y t))

Compiler

Compiled 3199 to 2273 computations (28.9% saved)

simplify177.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

322×	`associate-r_binary64`
273×	`associate-l_binary64`
261×	`associate-/r*_binary64`
197×	`*-commutative_binary64`
194×	`exp-prod_binary64`
178×	`distribute-rgt-in_binary64`
173×	`times-frac_binary64`
171×	`sub-neg_binary64`
166×	`distribute-lft-in_binary64`
165×	`associate-/l*_binary64`
157×	`cancel-sign-sub-inv_binary64`
125×	`distribute-rgt-neg-out_binary64`
101×	`unswap-sqr_binary64` `associate-*l/_binary64`
86×	`neg-sub0_binary64`
81×	`distribute-neg-in_binary64` `associate-*r/_binary64`
78×	`distribute-neg-frac_binary64`
71×	`neg-mul-1_binary64`
67×	`+-commutative_binary64`
58×	`div-sub_binary64`
47×	`sqr-pow_binary64`
46×	`associate-/r/_binary64`
44×	`associate--r+_binary64`
42×	`log-div_binary64`
36×	`*-rgt-identity_binary64`
35×	`unsub-neg_binary64` `*-lft-identity_binary64`
34×	`log-prod_binary64`
29×	`associate-+r+_binary64`
24×	`swap-sqr_binary64`
22×	`cube-prod_binary64` `associate-+l+_binary64`
20×	`cube-div_binary64`
19×	`unpow3_binary64`
18×	`distribute-rgt-neg-in_binary64` `associate--l+_binary64`
15×	`mul-1-neg_binary64` `distribute-lft-neg-in_binary64`
14×	`distribute-lft-neg-out_binary64` `associate-+r-_binary64`
11×	`exp-sum_binary64` `/-rgt-identity_binary64`
9×	`log-rec_binary64` `exp-diff_binary64` `difference-of-squares_binary64`
6×	`unpow1/2_binary64` `pow-plus_binary64` `cube-unmult_binary64`
5×	`unpow2_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `remove-double-neg_binary64`
4×	`log-pow_binary64` `cube-mult_binary64` `+-rgt-identity_binary64` `remove-double-div_binary64` `distribute-rgt-out_binary64` `associate-/l/_binary64` `associate--r-_binary64` `associate-+l-_binary64`
3×	`sub0-neg_binary64`
2×	`exp-neg_binary64` `+-lft-identity_binary64` `pow-sqr_binary64` `distribute-frac-neg_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `--rgt-identity_binary64` `div0_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` `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` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

227 → 208

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	351	4605
1	927	4087
2	3733	4067
3	4834	4067
4	4984	4067

prune127.0ms (1.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	208	0	208
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	208	5	213

Error

Counts

213 → 5

Compiler

Compiled 2566 to 1041 computations (59.4% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.7b	(.f64 (-.f64 y t) (-.f64 (.f64 y y) (*.f64 z z)))
3.9b	(-.f64 (.f64 y y) (.f64 z z))
5.3b	(/.f64 x (.f64 (-.f64 y t) (-.f64 (.f64 y y) (*.f64 z z))))
12.5b	(.f64 (/.f64 x (.f64 (-.f64 y t) (-.f64 (.f64 y y) (.f64 z z)))) (+.f64 y z))

rewrite173.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

20×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
19×	`flip3--_binary64` `flip--_binary64`
17×	`add-sqr-sqrt_binary64`
16×	`associate-/r/_binary64`
15×	`*-un-lft-identity_binary64`
14×	`frac-times_binary64`
11×	`add-cube-cbrt_binary64`
8×	`pow1_binary64` `associate-r/_binary64` `associate-r*_binary64`
7×	`associate-*l/_binary64`
6×	`prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `times-frac_binary64`
4×	`div-exp_binary64` `cbrt-undiv_binary64`
3×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-/l*_binary64` `sub-neg_binary64` `difference-of-squares_binary64` `cancel-sign-sub-inv_binary64`
2×	`pow-prod-down_binary64` `flip3-+_binary64` `flip-+_binary64` `unswap-sqr_binary64` `div-inv_binary64` `*-commutative_binary64`
1×	`distribute-lft-out_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/r*_binary64` `diff-log_binary64` `distribute-lft-out--_binary64`

Counts

4 → 117

Calls

4 calls:

17.0ms	(.f64 (/.f64 x (.f64 (-.f64 y t) (-.f64 (.f64 y y) (.f64 z z)))) (+.f64 y z))
12.0ms	(/.f64 x (.f64 (-.f64 y t) (-.f64 (.f64 y y) (*.f64 z z))))
10.0ms	(.f64 (-.f64 y t) (-.f64 (.f64 y y) (*.f64 z z)))
4.0ms	(-.f64 (.f64 y y) (.f64 z z))

Compiler

Compiled 3584 to 767 computations (78.6% saved)

series432.0ms (5.8%)

Error

Counts

4 → 74

Calls

4 calls:

172.0ms	(.f64 (/.f64 x (.f64 (-.f64 y t) (-.f64 (.f64 y y) (.f64 z z)))) (+.f64 y z))
119.0ms	(/.f64 x (.f64 (-.f64 y t) (-.f64 (.f64 y y) (*.f64 z z))))
58.0ms	(.f64 (-.f64 y t) (-.f64 (.f64 y y) (*.f64 z z)))
29.0ms	(-.f64 (.f64 y y) (.f64 z z))

Compiler

Compiled 4834 to 3645 computations (24.6% saved)

simplify146.0ms (2%)

Algorithm

1×	egg-herbie

Rules

302×	`times-frac_binary64`
277×	`cancel-sign-sub-inv_binary64`
276×	`associate-l_binary64`
255×	`associate-r_binary64`
254×	`distribute-rgt-in_binary64` `associate-/r*_binary64`
232×	`distribute-lft-in_binary64`
230×	`associate-/l*_binary64`
201×	`*-commutative_binary64`
135×	`sub-neg_binary64`
109×	`associate-*l/_binary64`
97×	`unswap-sqr_binary64`
86×	`associate-*r/_binary64`
71×	`div-sub_binary64` `+-commutative_binary64`
64×	`neg-sub0_binary64`
62×	`exp-prod_binary64`
57×	`neg-mul-1_binary64`
54×	`sqr-pow_binary64`
37×	`log-prod_binary64`
34×	`log-div_binary64`
31×	`associate-/r/_binary64`
30×	`cube-prod_binary64`
29×	`distribute-rgt-neg-in_binary64`
27×	`*-lft-identity_binary64`
26×	`swap-sqr_binary64` `associate--r+_binary64`
24×	`associate-+l+_binary64`
23×	`*-rgt-identity_binary64` `associate--l+_binary64` `associate-+r+_binary64`
22×	`unsub-neg_binary64` `distribute-lft-neg-in_binary64`
19×	`exp-sum_binary64`
18×	`difference-of-squares_binary64`
17×	`cube-div_binary64`
15×	`distribute-neg-in_binary64`
14×	`/-rgt-identity_binary64`
11×	`distribute-neg-frac_binary64`
9×	`mul-1-neg_binary64`
8×	`cube-unmult_binary64` `distribute-lft-neg-out_binary64`
6×	`pow-plus_binary64` `pow-sqr_binary64`
5×	`unpow3_binary64` `exp-diff_binary64` `cube-mult_binary64` `distribute-lft-out_binary64` `associate-+r-_binary64`
4×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `associate-+l-_binary64`
3×	`rem-sqrt-square_binary64` `div0_binary64`
2×	`remove-double-neg_binary64` `+-rgt-identity_binary64` `*-inverses_binary64` `distribute-rgt-neg-out_binary64`
1×	`log-pow_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `distribute-lft-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-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` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_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-square-sqrt_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-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

191 → 167

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	305	5182
1	972	4552
2	4043	4306
3	5045	4306

prune128.0ms (1.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	166	1	167
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	167	5	172

Error

Counts

172 → 5

Compiler

Compiled 3048 to 953 computations (68.7% saved)

regimes1.6s (21.4%)

Accuracy

Total 1.0b remaining (98.2%)

Threshold costs 1.0b (98.2%)

Compiler

Compiled 20281 to 17707 computations (12.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`sub-neg_binary64` `+-commutative_binary64`
3×	`neg-mul-1_binary64` `neg-sub0_binary64` `*-commutative_binary64`
1×	`1-exp_binary64` `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` `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	13	22
1	21	22
2	33	22
3	39	22
4	42	22
5	40	22

end6.0ms (0.1%)

Remove: (sort z t)
Compiler: Compiled 45 to 42 computations (6.7% saved)

sample758.0ms (10.2%)

Algorithm

1×

intervals

Results

304.0ms	8000×	body	128	valid
14.0ms	412×	body	128	invalid

Compiler

Compiled 107 to 108 computations (-0.9% saved)

Details

analyze715.0ms (9.6%)

sample31.0ms (0.4%)

simplify172.0ms (2.3%)

prune1.0ms (0%)

localize7.0ms (0.1%)

rewrite97.0ms (1.3%)

series185.0ms (2.5%)

simplify84.0ms (1.1%)

prune49.0ms (0.7%)

localize9.0ms (0.1%)

rewrite684.0ms (9.2%)

series289.0ms (3.9%)

simplify695.0ms (9.4%)

prune318.0ms (4.3%)

localize10.0ms (0.1%)

rewrite246.0ms (3.3%)

series274.0ms (3.7%)

simplify177.0ms (2.4%)

prune127.0ms (1.7%)

localize12.0ms (0.2%)

rewrite173.0ms (2.3%)

series432.0ms (5.8%)

simplify146.0ms (2%)

prune128.0ms (1.7%)

regimes1.6s (21.4%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end6.0ms (0.1%)

sample758.0ms (10.2%)

Profiling