Details

analyze508.0ms (10.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

1057×	`distribute-rgt-in_binary64`
847×	`unsub-neg_binary64`
612×	`sub-neg_binary64`
437×	`distribute-neg-in_binary64`
432×	`neg-mul-1_binary64`
425×	`neg-sub0_binary64`
369×	`+-commutative_binary64`
275×	`associate--r+_binary64`
252×	`*-commutative_binary64`
232×	`distribute-lft-neg-out_binary64`
221×	`distribute-rgt-neg-out_binary64`
196×	`remove-double-neg_binary64`
192×	`distribute-rgt-neg-in_binary64`
180×	`distribute-neg-out_binary64`
162×	`associate-+l+_binary64`
153×	`associate--l+_binary64`
149×	`associate-+l-_binary64`
142×	`associate-+r+_binary64`
137×	`associate-+r-_binary64`
135×	`cancel-sign-sub-inv_binary64`
111×	`associate-r_binary64`
101×	`associate-l_binary64`
78×	`associate--r-_binary64`
76×	`distribute-lft-in_binary64`
74×	`distribute-rgt-out--_binary64`
71×	`distribute-rgt-out_binary64`
69×	`sub0-neg_binary64`
63×	`associate--l-_binary64`
62×	`distribute-lft-neg-in_binary64`
58×	`*-rgt-identity_binary64`
52×	`distribute-lft-out--_binary64`
46×	`*-lft-identity_binary64`
31×	`+-rgt-identity_binary64`
24×	`log-prod_binary64`
16×	`--rgt-identity_binary64`
8×	`cancel-sign-sub_binary64`
7×	`distribute-lft1-in_binary64`
6×	`+-lft-identity_binary64`
5×	`distribute-rgt1-in_binary64`
3×	`mul-1-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
1×	`1-exp_binary64` `count-2_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` `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` `times-frac_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `div0_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` `swap-sqr_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-lft-out_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	72
1	78	72
2	161	72
3	307	72
4	688	72
5	1291	72
6	2233	72
7	2847	72
8	3397	72
9	3462	72
10	3500	72
11	3491	72
12	3491	72
13	3982	72
14	4067	72
15	4098	72
16	4116	72
17	4120	72
18	4120	72
19	4128	72
20	4158	72
21	4158	72
22	4158	72
23	4158	72
24	5270	72
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%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
12.5%	43.7%	43.8%	7
12.5%	43.7%	43.8%	8
25%	28.1%	47%	9
28.1%	20.3%	51.6%	10
28.1%	20.3%	51.6%	11
34.3%	13.3%	52.4%	12
35.9%	9.8%	54.4%	13
35.9%	9.8%	54.4%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample22.0ms (0.4%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 25 to 26 computations (-4% saved)

simplify340.0ms (6.7%)

Algorithm

1×	egg-herbie

Rules

1119×	`unsub-neg_binary64`
746×	`distribute-rgt-in_binary64`
570×	`+-commutative_binary64`
521×	`sub-neg_binary64`
510×	`associate--r+_binary64`
426×	`associate--l+_binary64`
393×	`*-commutative_binary64`
357×	`neg-sub0_binary64`
356×	`associate-+r+_binary64`
346×	`neg-mul-1_binary64`
336×	`distribute-lft-neg-in_binary64`
332×	`distribute-neg-out_binary64`
304×	`associate-+l+_binary64`
217×	`distribute-rgt-neg-in_binary64`
189×	`distribute-neg-in_binary64`
157×	`distribute-lft-in_binary64`
149×	`associate-r_binary64`
125×	`associate-+l-_binary64`
90×	`distribute-lft-neg-out_binary64` `associate-l_binary64`
89×	`cancel-sign-sub-inv_binary64`
75×	`distribute-rgt-out--_binary64`
70×	`cancel-sign-sub_binary64`
65×	`distribute-rgt-neg-out_binary64`
56×	`associate-+r-_binary64`
42×	`associate--r-_binary64` `associate--l-_binary64`
40×	`distribute-rgt1-in_binary64`
31×	`distribute-rgt-out_binary64`
24×	`sub0-neg_binary64`
22×	`remove-double-neg_binary64`
20×	`*-rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-lft1-in_binary64`
18×	`*-lft-identity_binary64`
13×	`+-rgt-identity_binary64`
8×	`log-prod_binary64` `--rgt-identity_binary64`
6×	`mul-1-neg_binary64`
5×	`distribute-lft-out--_binary64`
4×	`+-lft-identity_binary64`
2×	`distribute-lft-out_binary64`
1×	`1-exp_binary64` `count-2_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` `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` `times-frac_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `div0_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` `swap-sqr_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	28	18
2	53	18
3	97	18
4	218	18
5	349	18
6	486	18
7	829	18
8	1163	18
9	1232	18
10	1335	18
11	1416	18
12	1453	18
13	3274	18
14	3271	18
15	3920	18
16	4486	18
17	4497	18
18	4497	18
19	4982	18
20	4217	18
21	4371	18
22	4375	18
23	4375	18
24	4405	18
25	4405	18
26	4358	18
27	4352	18
28	4352	18
29	4889	18

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

0.1b

Counts

1 → 1

Compiler

Compiled 12 to 11 computations (8.3% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
0.0b	(+.f64 (-.f64 1 z) (log.f64 z))
0.2b	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))

rewrite106.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`*-un-lft-identity_binary64`
9×	`pow1_binary64` `add-sqr-sqrt_binary64`
8×	`add-log-exp_binary64` `distribute-lft-out_binary64`
7×	`add-cube-cbrt_binary64` `associate-r_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-+r+_binary64`
4×	`log-pow_binary64` `distribute-lft-out--_binary64` `associate-+l+_binary64`
3×	`flip3-+_binary64` `flip-+_binary64` `associate-l_binary64` `sum-log_binary64` `cancel-sign-sub-inv_binary64` `log-prod_binary64`
2×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-*r/_binary64` `+-commutative_binary64`
1×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64` `diff-log_binary64` `associate-+l-_binary64` `sub-neg_binary64`

Counts

3 → 63

Calls

3 calls:

11.0ms	(+.f64 (-.f64 1 z) (log.f64 z))
10.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
6.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))

Compiler

Compiled 1091 to 665 computations (39% saved)

series126.0ms (2.5%)

Error

0.1b

Counts

3 → 30

Calls

3 calls:

61.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
28.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
12.0ms	(+.f64 (-.f64 1 z) (log.f64 z))

Compiler

Compiled 784 to 611 computations (22.1% saved)

simplify107.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

450×	`times-frac_binary64`
274×	`*-commutative_binary64`
264×	`sub-neg_binary64`
250×	`exp-sum_binary64`
224×	`unsub-neg_binary64`
217×	`exp-prod_binary64`
213×	`distribute-rgt-neg-in_binary64`
206×	`associate-+l+_binary64`
200×	`distribute-neg-in_binary64`
183×	`distribute-lft-neg-in_binary64`
167×	`associate-+r+_binary64`
147×	`distribute-rgt-neg-out_binary64`
144×	`distribute-lft-neg-out_binary64`
133×	`neg-mul-1_binary64` `neg-sub0_binary64` `+-commutative_binary64`
127×	`exp-diff_binary64`
125×	`associate--r-_binary64`
104×	`cancel-sign-sub-inv_binary64` `associate--r+_binary64`
99×	`distribute-rgt-out_binary64` `distribute-rgt-in_binary64`
97×	`associate-l_binary64`
92×	`log-prod_binary64`
91×	`associate-r_binary64`
90×	`distribute-lft-in_binary64`
79×	`associate--l+_binary64`
66×	`sqr-pow_binary64`
53×	`distribute-rgt-out--_binary64`
51×	`cube-prod_binary64`
50×	`associate-+l-_binary64`
46×	`associate-/l*_binary64`
45×	`cancel-sign-sub_binary64`
41×	`associate-+r-_binary64`
34×	`unswap-sqr_binary64`
33×	`associate-/r*_binary64`
31×	`distribute-neg-out_binary64`
29×	`div-sub_binary64`
27×	`remove-double-neg_binary64`
24×	`*-lft-identity_binary64`
22×	`log-div_binary64`
21×	`*-rgt-identity_binary64`
18×	`+-rgt-identity_binary64`
15×	`distribute-lft-out_binary64`
12×	`exp-to-pow_binary64` `sub0-neg_binary64` `swap-sqr_binary64` `associate-/r/_binary64`
11×	`unpow3_binary64` `associate-*r/_binary64`
10×	`div-exp_binary64` `cube-neg_binary64`
9×	`sqr-neg_binary64` `distribute-lft1-in_binary64` `associate--l-_binary64`
8×	`distribute-lft-out--_binary64`
7×	`associate-*l/_binary64`
6×	`cube-unmult_binary64` `cube-mult_binary64`
5×	`log-pow_binary64` `unpow1/2_binary64` `rem-exp-log_binary64` `rem-sqrt-square_binary64` `pow-sqr_binary64` `distribute-frac-neg_binary64`
4×	`log-rec_binary64` `prod-exp_binary64` `--rgt-identity_binary64` `difference-of-squares_binary64` `associate-/l/_binary64`
3×	`count-2_binary64`
2×	`rec-exp_binary64` `mul-1-neg_binary64`
1×	`exp-lft-sqr_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-log-exp_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-rgt1-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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `pow-plus_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_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` `remove-double-div_binary64` `distribute-neg-frac_binary64`

Counts

93 → 69

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	132	1365
1	365	1271
2	1204	1270
3	2545	1270
4	4393	1270
5	5370	1270

prune57.0ms (1.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	60	9	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	61	9	70

Error

0.0b

Counts

70 → 9

Compiler

Compiled 913 to 586 computations (35.8% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (-.f64 (log.f64 z) z))
0.0b	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 1 (-.f64 (log.f64 z) z))))
0.0b	(-.f64 (log.f64 z) z)
0.2b	(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))

rewrite144.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

27×	`*-un-lft-identity_binary64`
14×	`add-sqr-sqrt_binary64`
11×	`add-log-exp_binary64`
10×	`add-cube-cbrt_binary64`
9×	`pow1_binary64` `associate-+r+_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-r_binary64` `distribute-lft-out_binary64` `distribute-lft-out--_binary64` `cancel-sign-sub-inv_binary64` `log-prod_binary64` `associate--l+_binary64`
3×	`flip3-+_binary64` `flip-+_binary64` `associate-l_binary64` `log-pow_binary64` `sum-log_binary64`
2×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-*r/_binary64` `diff-log_binary64` `sub-neg_binary64` `+-commutative_binary64`
1×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64` `flip3--_binary64` `flip--_binary64` `difference-of-squares_binary64` `associate-+r-_binary64`

Counts

4 → 81

Calls

4 calls:

9.0ms	(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
7.0ms	(+.f64 1 (-.f64 (log.f64 z) z))
5.0ms	(-.f64 (log.f64 z) z)
4.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 1 (-.f64 (log.f64 z) z))))

Compiler

Compiled 1420 to 739 computations (48% saved)

series143.0ms (2.8%)

Error

0.0b

Counts

4 → 35

Calls

4 calls:

61.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 1 (-.f64 (log.f64 z) z))))
31.0ms	(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
12.0ms	(+.f64 1 (-.f64 (log.f64 z) z))
12.0ms	(-.f64 (log.f64 z) z)

Compiler

Compiled 935 to 741 computations (20.7% saved)

simplify141.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

385×	`unsub-neg_binary64`
294×	`sub-neg_binary64`
265×	`times-frac_binary64`
251×	`*-commutative_binary64`
246×	`associate-+l+_binary64`
237×	`exp-sum_binary64`
209×	`distribute-rgt-neg-out_binary64`
206×	`distribute-neg-in_binary64`
196×	`distribute-lft-neg-out_binary64`
173×	`associate-+r+_binary64`
162×	`exp-prod_binary64` `neg-sub0_binary64`
160×	`neg-mul-1_binary64`
147×	`exp-diff_binary64`
143×	`+-commutative_binary64`
136×	`cancel-sign-sub-inv_binary64`
128×	`distribute-neg-out_binary64`
115×	`associate--r+_binary64`
106×	`distribute-rgt-in_binary64`
99×	`log-prod_binary64`
95×	`distribute-lft-in_binary64`
93×	`associate-l_binary64`
92×	`cube-prod_binary64`
88×	`distribute-rgt-neg-in_binary64` `associate-r_binary64`
78×	`associate--l+_binary64`
77×	`sqr-pow_binary64`
59×	`associate-+l-_binary64`
58×	`distribute-lft-neg-in_binary64`
49×	`associate-+r-_binary64`
44×	`div-sub_binary64`
42×	`unswap-sqr_binary64`
36×	`remove-double-neg_binary64` `associate--r-_binary64`
34×	`cancel-sign-sub_binary64`
27×	`distribute-rgt-out_binary64`
23×	`*-lft-identity_binary64`
20×	`unpow3_binary64` `swap-sqr_binary64`
19×	`*-rgt-identity_binary64` `sub0-neg_binary64` `+-rgt-identity_binary64`
16×	`log-div_binary64` `difference-of-squares_binary64`
14×	`cube-neg_binary64` `sqr-neg_binary64` `distribute-rgt-out--_binary64`
12×	`associate--l-_binary64`
11×	`--rgt-identity_binary64`
10×	`log-pow_binary64` `exp-to-pow_binary64` `cube-mult_binary64` `rem-sqrt-square_binary64` `distribute-lft-out_binary64`
9×	`pow-sqr_binary64`
8×	`cube-unmult_binary64` `cube-div_binary64` `distribute-frac-neg_binary64`
6×	`unpow1/2_binary64` `prod-exp_binary64` `associate-/l_binary64` `associate-/r_binary64`
5×	`rem-exp-log_binary64`
4×	`log-rec_binary64` `pow-plus_binary64` `distribute-lft-out--_binary64`
3×	`difference-of-sqr-1_binary64` `distribute-rgt1-in_binary64`
2×	`div-exp_binary64` `exp-neg_binary64` `mul-1-neg_binary64` `distribute-lft1-in_binary64` `associate-*l/_binary64`
1×	`log-E_binary64` `exp-lft-sqr_binary64` `rec-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-log-exp_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `difference-of-sqr--1_binary64` `distribute-neg-frac_binary64` `count-2_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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_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` `remove-double-div_binary64` `associate-/l/_binary64` `associate-/r/_binary64`

Counts

116 → 81

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	150	1514
1	397	1425
2	1200	1423
3	2697	1423
4	4283	1423
5	4985	1423
6	4943	1423

prune71.0ms (1.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	78	3	81
Fresh	5	3	8
Picked	1	0	1
Done	0	0	0
Total	84	6	90

Error

0.0b

Counts

90 → 6

Compiler

Compiled 1088 to 649 computations (40.3% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(+.f64 (+.f64 (-.f64 1 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z)))
0.2b	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z))))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite139.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`*-un-lft-identity_binary64`
12×	`add-sqr-sqrt_binary64`
10×	`add-log-exp_binary64` `add-cube-cbrt_binary64`
9×	`cbrt-prod_binary64`
8×	`pow1_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `log-prod_binary64` `associate-+r+_binary64`
5×	`associate-r_binary64` `sum-log_binary64`
4×	`distribute-lft-out_binary64`
3×	`associate-l_binary64`
2×	`pow1/3_binary64` `flip3-+_binary64` `associate-*r/_binary64` `flip-+_binary64` `log-pow_binary64` `associate-+l-_binary64`
1×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `*-commutative_binary64` `diff-log_binary64` `associate-+l+_binary64` `+-commutative_binary64`

Counts

4 → 69

Calls

4 calls:

12.0ms	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z))))
12.0ms	(+.f64 (+.f64 (-.f64 1 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z)))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

Compiler

Compiled 1779 to 952 computations (46.5% saved)

series129.0ms (2.6%)

Error

0.0b

Counts

4 → 19

Calls

4 calls:

56.0ms	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z))))
23.0ms	(+.f64 (+.f64 (-.f64 1 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z)))
17.0ms	(cbrt.f64 z)
17.0ms	(cbrt.f64 z)

Compiler

Compiled 816 to 709 computations (13.1% saved)

simplify88.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

888×	`distribute-rgt-in_binary64`
875×	`distribute-lft-in_binary64`
164×	`exp-prod_binary64`
141×	`exp-sum_binary64`
127×	`cancel-sign-sub-inv_binary64`
110×	`associate-l_binary64`
101×	`associate-r_binary64`
75×	`sub-neg_binary64` `*-commutative_binary64`
43×	`+-commutative_binary64`
42×	`log-prod_binary64`
39×	`associate-+l+_binary64`
37×	`distribute-rgt-neg-in_binary64`
32×	`sqr-pow_binary64`
31×	`distribute-lft-neg-in_binary64`
22×	`exp-diff_binary64`
20×	`associate-+r+_binary64`
19×	`*-rgt-identity_binary64`
18×	`log-pow_binary64` `log-div_binary64` `prod-exp_binary64` `associate-+l-_binary64`
17×	`exp-to-pow_binary64` `-lft-identity_binary64` `distribute-rgt-out_binary64` `associate-/r_binary64`
15×	`distribute-neg-in_binary64`
14×	`distribute-lft-out_binary64` `associate--l+_binary64`
13×	`neg-sub0_binary64`
12×	`distribute-rgt-out--_binary64`
11×	`div-exp_binary64` `neg-mul-1_binary64` `swap-sqr_binary64` `distribute-lft-neg-out_binary64`
10×	`associate-+r-_binary64`
8×	`unsub-neg_binary64`
7×	`cube-prod_binary64`
6×	`unswap-sqr_binary64` `distribute-rgt-neg-out_binary64` `associate-/l*_binary64`
5×	`cube-unmult_binary64` `distribute-lft-out--_binary64` `associate-*l/_binary64`
4×	`log-rec_binary64` `unpow3_binary64` `associate--r+_binary64`
3×	`exp-lft-sqr_binary64` `cube-mult_binary64` `rem-sqrt-square_binary64` `div-sub_binary64` `mul-1-neg_binary64` `pow-sqr_binary64` `distribute-rgt1-in_binary64` `count-2_binary64` `associate--l-_binary64`
2×	`unpow1/3_binary64` `unpow1/2_binary64` `rec-exp_binary64` `associate-*r/_binary64`
1×	`unpow2_binary64` `pow-plus_binary64` `unpow1_binary64` `exp-lft-cube_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-exp-log_binary64` `rem-3cbrt-lft_binary64` `difference-of-squares_binary64` `distribute-neg-out_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` `pow-base-0_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `sub0-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` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `associate-/l/_binary64` `associate-/r/_binary64`

Counts

88 → 64

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	122	1688
1	313	1172
2	1131	1012
3	4646	1012
4	5010	1012

prune65.0ms (1.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	62	2	64
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	63	7	70

Error

Counts

70 → 7

Compiler

Compiled 1034 to 634 computations (38.7% saved)

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 (cbrt.f64 z))
0.6b	(cbrt.f64 (cbrt.f64 z))

rewrite108.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

24×	`cbrt-prod_binary64`
10×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
4×	`pow1/3_binary64` `pow1_binary64` `add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`

Counts

4 → 50

Calls

4 calls:

2.0ms	(cbrt.f64 (cbrt.f64 z))
2.0ms	(cbrt.f64 (cbrt.f64 z))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

Compiler

Compiled 1420 to 635 computations (55.3% saved)

series95.0ms (1.9%)

Error

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt.f64 (cbrt.f64 z))
22.0ms	(cbrt.f64 (cbrt.f64 z))
19.0ms	(cbrt.f64 z)
18.0ms	(cbrt.f64 z)

Compiler

Compiled 888 to 708 computations (20.3% saved)

simplify115.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

513×	`log-prod_binary64`
450×	`unswap-sqr_binary64`
391×	`associate-+l+_binary64`
359×	`associate-+r+_binary64`
347×	`distribute-rgt-in_binary64`
341×	`distribute-lft-in_binary64`
328×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
214×	`distribute-rgt-out_binary64`
192×	`*-commutative_binary64`
149×	`distribute-lft-out_binary64`
137×	`cancel-sign-sub-inv_binary64`
126×	`sqr-pow_binary64`
123×	`associate-l_binary64`
88×	`associate-r_binary64`
84×	`log-pow_binary64`
51×	`neg-sub0_binary64`
50×	`neg-mul-1_binary64`
38×	`pow-sqr_binary64`
34×	`rem-sqrt-square_binary64`
33×	`exp-prod_binary64`
28×	`sub-neg_binary64`
27×	`pow-plus_binary64`
24×	`unpow3_binary64` `unsub-neg_binary64`
23×	`cube-prod_binary64`
22×	`cube-unmult_binary64`
19×	`distribute-rgt1-in_binary64`
15×	`distribute-lft1-in_binary64`
14×	`count-2_binary64`
9×	`unpow2_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`
8×	`mul0-rgt_binary64` `mul0-lft_binary64`
7×	`cube-mult_binary64`
5×	`associate-/l/_binary64` `associate-*r/_binary64`
4×	`associate-/l*_binary64`
3×	`unpow1/3_binary64` `unpow1_binary64` `+-commutative_binary64`
2×	`rem-3cbrt-lft_binary64` `swap-sqr_binary64` `associate-/r/_binary64`
1×	`unpow1/2_binary64` `1-exp_binary64` `rem-cbrt-cube_binary64` `times-frac_binary64` `mul-1-neg_binary64` `sub0-neg_binary64` `--rgt-identity_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-rec_binary64` `log-div_binary64` `pow-base-0_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-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-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `div0_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` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate-l/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+r-_binary64`

Counts

62 → 20

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	500
1	63	500
2	158	500
3	489	452
4	976	452
5	3453	452
6	4795	452
7	4957	452
8	4718	452

prune16.0ms (0.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	20	0	20
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	20	7	27

Error

Counts

27 → 7

Compiler

Compiled 269 to 153 computations (43.1% saved)

regimes1.5s (30.6%)

Accuracy

Total 0.1b remaining (82.6%)

Threshold costs 0.1b (82.6%)

Compiler

Compiled 19233 to 15615 computations (18.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64`
5×	`*-commutative_binary64`
4×	`sub-neg_binary64`
3×	`neg-mul-1_binary64` `neg-sub0_binary64`
2×	`cancel-sign-sub-inv_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
1×	`1-exp_binary64` `unsub-neg_binary64` `remove-double-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` `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` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	18
1	27	18
2	38	18
3	46	18
4	47	18
5	43	18

end1.0ms (0%)

Compiler: Compiled 12 to 11 computations (8.3% saved)

sample916.0ms (18.2%)

Algorithm

1×

intervals

Results

402.0ms	8000×	body	128	valid
13.0ms	281×	body	128	invalid
2.0ms	63×	body	128	nan

Compiler

Compiled 212 to 170 computations (19.8% saved)

Details

analyze508.0ms (10.1%)

sample22.0ms (0.4%)

simplify340.0ms (6.7%)

prune1.0ms (0%)

localize9.0ms (0.2%)

rewrite106.0ms (2.1%)

series126.0ms (2.5%)

simplify107.0ms (2.1%)

prune57.0ms (1.1%)

localize9.0ms (0.2%)

rewrite144.0ms (2.9%)

series143.0ms (2.8%)

simplify141.0ms (2.8%)

prune71.0ms (1.4%)

localize17.0ms (0.3%)

rewrite139.0ms (2.8%)

series129.0ms (2.6%)

simplify88.0ms (1.7%)

prune65.0ms (1.3%)

localize20.0ms (0.4%)

rewrite108.0ms (2.1%)

series95.0ms (1.9%)

simplify115.0ms (2.3%)

prune16.0ms (0.3%)

regimes1.5s (30.6%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample916.0ms (18.2%)

Profiling