Details

analyze1.1s (19.3%)

Algorithm

1×	search
2×	egg-herbie

Rules

544×	`associate-l_binary64`
504×	`pow-sqr_binary64`
440×	`sqr-pow_binary64`
390×	`associate-r_binary64`
288×	`unswap-sqr_binary64`
269×	`associate-/l*_binary64`
264×	`unpow3_binary64`
260×	`cube-prod_binary64`
248×	`associate-/r*_binary64`
244×	`associate-*l/_binary64`
189×	`associate-/r/_binary64`
148×	`associate-/l/_binary64`
134×	`*-commutative_binary64`
124×	`cube-mult_binary64`
120×	`associate-*r/_binary64`
64×	`pow-plus_binary64`
36×	`rem-sqrt-square_binary64`
30×	`swap-sqr_binary64`
18×	`+-commutative_binary64`
16×	`unpow2_binary64` `unpow1_binary64` `cube-unmult_binary64`
12×	`unpow1/2_binary64`
9×	`associate-+l+_binary64` `associate-+r+_binary64`
6×	`/-rgt-identity_binary64` `distribute-rgt-out_binary64`
3×	`*-lft-identity_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` `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` `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-div_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` `times-frac_binary64` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_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` `difference-of-squares_binary64` `cancel-sign-sub-inv_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` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	88
1	71	76
2	153	76
3	314	76
4	768	76
5	2179	76
6	2713	76
7	2746	76
8	2979	76
9	3418	76
10	4245	76
11	4995	76
12	5045	76
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
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
25%	74.9%	0.1%	5
31.2%	68.6%	0.1%	6
32.8%	67.1%	0.1%	7
34.3%	65.5%	0.1%	8
38.2%	61.2%	0.5%	9
39.6%	53%	7.4%	10
40.3%	52.4%	7.4%	11
41.6%	49.6%	8.8%	12
42%	39.9%	18.1%	13
42.3%	39.6%	18.2%	14

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample47.0ms (0.8%)

Algorithm

1×

intervals

Results

18.0ms	256×	body	128	valid
8.0ms	99×	body	128	invalid
4.0ms	84×	body	128	nan

Compiler

Compiled 31 to 28 computations (9.7% saved)

simplify118.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

624×	`*-commutative_binary64`
613×	`associate-l_binary64`
532×	`sqr-pow_binary64`
394×	`associate-*r/_binary64`
357×	`unswap-sqr_binary64`
330×	`cube-prod_binary64`
317×	`pow-sqr_binary64`
262×	`associate-*l/_binary64`
258×	`associate-/r*_binary64`
253×	`associate-/l*_binary64`
227×	`associate-/r/_binary64`
189×	`associate-/l/_binary64`
176×	`unpow3_binary64`
171×	`cube-mult_binary64`
98×	`associate-r_binary64`
48×	`pow-plus_binary64`
34×	`rem-sqrt-square_binary64`
9×	`cube-unmult_binary64`
7×	`*-lft-identity_binary64`
6×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `+-commutative_binary64`
3×	`*-rgt-identity_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
2×	`/-rgt-identity_binary64` `remove-double-div_binary64` `distribute-rgt-out_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` `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` `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-div_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` `times-frac_binary64` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `swap-sqr_binary64` `cancel-sign-sub-inv_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` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	27	19
2	50	19
3	94	19
4	214	19
5	580	19
6	1763	19
7	2455	19
8	2523	19
9	2681	19
10	2897	19
11	3244	19
12	3829	19
13	4775	19
14	5019	19

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

1.7b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 k (+.f64 k 10))
0.0b	(+.f64 1 (*.f64 k (+.f64 k 10)))
0.0b	(*.f64 a (pow.f64 k m))
1.7b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))

rewrite157.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

1.6b

Rules

21×	`add-exp-log_binary64`
18×	`add-sqr-sqrt_binary64`
13×	`add-cbrt-cube_binary64` `*-un-lft-identity_binary64`
11×	`add-cube-cbrt_binary64` `associate-r_binary64`
7×	`prod-exp_binary64`
6×	`pow1_binary64` `add-log-exp_binary64` `associate-l_binary64`
4×	`div-exp_binary64` `unpow-prod-down_binary64` `unswap-sqr_binary64`
3×	`cbrt-unprod_binary64` `times-frac_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-/r*_binary64`
2×	`pow-to-exp_binary64` `pow-exp_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `sqr-pow_binary64` `-commutative_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64` `distribute-lft-in_binary64` `associate-r/_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l*_binary64` `sum-log_binary64` `+-commutative_binary64` `pow-prod-down_binary64` `distribute-lft-out_binary64`

Counts

4 → 86

Calls

4 calls:

6.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
6.0ms	(*.f64 k (+.f64 k 10))
5.0ms	(*.f64 a (pow.f64 k m))
3.0ms	(+.f64 1 (*.f64 k (+.f64 k 10)))

Compiler

Compiled 1690 to 910 computations (46.2% saved)

series179.0ms (3.2%)

Error

1.7b

Counts

4 → 45

Calls

4 calls:

76.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
43.0ms	(*.f64 a (pow.f64 k m))
15.0ms	(+.f64 1 (*.f64 k (+.f64 k 10)))
11.0ms	(*.f64 k (+.f64 k 10))

Compiler

Compiled 1898 to 1431 computations (24.6% saved)

simplify135.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

513×	`distribute-rgt-in_binary64`
498×	`distribute-lft-in_binary64`
226×	`cancel-sign-sub-inv_binary64`
197×	`associate-r_binary64`
192×	`associate-l_binary64`
134×	`neg-mul-1_binary64`
126×	`associate-/l*_binary64`
122×	`distribute-rgt-neg-in_binary64`
109×	`*-commutative_binary64`
105×	`log-prod_binary64`
104×	`distribute-lft-neg-in_binary64`
95×	`exp-prod_binary64`
86×	`unswap-sqr_binary64`
76×	`sub-neg_binary64`
71×	`sqr-pow_binary64`
64×	`exp-sum_binary64`
60×	`distribute-rgt-out_binary64`
59×	`times-frac_binary64`
53×	`cube-prod_binary64`
52×	`associate-*l/_binary64`
51×	`log-div_binary64`
48×	`+-commutative_binary64`
45×	`associate-/r*_binary64`
44×	`*-rgt-identity_binary64`
43×	`associate-*r/_binary64`
41×	`distribute-neg-in_binary64`
38×	`distribute-neg-frac_binary64`
36×	`log-pow_binary64`
35×	`neg-sub0_binary64`
34×	`*-lft-identity_binary64`
33×	`distribute-rgt-out--_binary64`
31×	`cube-div_binary64`
30×	`associate-/l/_binary64`
26×	`div-sub_binary64`
25×	`associate-+l+_binary64`
21×	`unpow3_binary64`
20×	`/-rgt-identity_binary64` `associate-/r/_binary64`
17×	`distribute-lft-neg-out_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+r+_binary64`
15×	`pow-sqr_binary64` `distribute-lft-out_binary64`
14×	`cube-mult_binary64`
13×	`unsub-neg_binary64`
12×	`pow-plus_binary64`
11×	`exp-diff_binary64` `swap-sqr_binary64`
10×	`cube-unmult_binary64` `distribute-rgt1-in_binary64`
9×	`log-rec_binary64` `distribute-rgt-neg-out_binary64`
8×	`exp-neg_binary64`
7×	`exp-to-pow_binary64`
6×	`unpow1/2_binary64`
5×	`rem-sqrt-square_binary64` `distribute-lft-out--_binary64`
4×	`pow-base-1_binary64` `rem-exp-log_binary64`
3×	`unpow2_binary64` `unpow1_binary64` `sqr-neg_binary64`
2×	`mul-1-neg_binary64` `remove-double-neg_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `+-inverses_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64` `associate-+l-_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` `unpow1/3_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` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_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` `div0_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

131 → 76

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	217	2353
1	572	2168
2	2154	2080
3	4601	2044
4	4926	2044
5	4971	2044

prune53.0ms (0.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	72	4	76
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	5	77

Error

1.6b

Counts

77 → 5

Compiler

Compiled 1016 to 561 computations (44.8% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 k (+.f64 k 10))
0.0b	(+.f64 1 (*.f64 k (+.f64 k 10)))
0.0b	(/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10))))
1.6b	(.f64 a (/.f64 (pow.f64 k m) (+.f64 1 (.f64 k (+.f64 k 10)))))

rewrite263.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

1.6b

Rules

49×	`add-sqr-sqrt_binary64`
45×	`times-frac_binary64`
39×	`*-un-lft-identity_binary64`
37×	`add-cube-cbrt_binary64`
31×	`associate-r_binary64`
22×	`unpow-prod-down_binary64`
21×	`add-exp-log_binary64`
13×	`add-cbrt-cube_binary64`
8×	`pow1_binary64` `sqr-pow_binary64`
7×	`associate-/l*_binary64`
6×	`div-exp_binary64` `add-log-exp_binary64` `associate-l_binary64`
5×	`prod-exp_binary64` `unswap-sqr_binary64`
4×	`flip3-+_binary64` `associate-/r/_binary64` `flip-+_binary64`
3×	`cbrt-unprod_binary64` `associate-r/_binary64` `associate-/r_binary64`
2×	`pow-prod-down_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `*-commutative_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64` `distribute-lft-in_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `sum-log_binary64` `+-commutative_binary64` `distribute-lft-out_binary64`

Counts

4 → 133

Calls

4 calls:

12.0ms	(.f64 a (/.f64 (pow.f64 k m) (+.f64 1 (.f64 k (+.f64 k 10)))))
6.0ms	(*.f64 k (+.f64 k 10))
6.0ms	(/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10))))
3.0ms	(+.f64 1 (*.f64 k (+.f64 k 10)))

Compiler

Compiled 3131 to 1856 computations (40.7% saved)

series194.0ms (3.4%)

Error

1.6b

Counts

4 → 48

Calls

4 calls:

77.0ms	(.f64 a (/.f64 (pow.f64 k m) (+.f64 1 (.f64 k (+.f64 k 10)))))
42.0ms	(/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10))))
17.0ms	(+.f64 1 (*.f64 k (+.f64 k 10)))
11.0ms	(*.f64 k (+.f64 k 10))

Compiler

Compiled 2335 to 1774 computations (24% saved)

simplify122.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

517×	`distribute-rgt-in_binary64`
498×	`distribute-lft-in_binary64`
344×	`cancel-sign-sub-inv_binary64`
248×	`associate-r_binary64`
236×	`associate-l_binary64`
167×	`distribute-rgt-neg-in_binary64`
153×	`associate-/l*_binary64`
149×	`*-commutative_binary64`
145×	`distribute-lft-neg-in_binary64`
101×	`associate-*r/_binary64`
99×	`sub-neg_binary64`
94×	`unswap-sqr_binary64`
89×	`associate-*l/_binary64`
76×	`sqr-pow_binary64`
68×	`+-commutative_binary64`
61×	`associate-/r*_binary64`
55×	`*-rgt-identity_binary64`
52×	`times-frac_binary64`
51×	`distribute-rgt-out_binary64`
50×	`*-lft-identity_binary64`
49×	`distribute-neg-frac_binary64`
46×	`associate-/l/_binary64`
45×	`neg-sub0_binary64` `distribute-neg-in_binary64`
43×	`exp-prod_binary64` `neg-mul-1_binary64`
42×	`distribute-rgt-out--_binary64`
32×	`log-prod_binary64`
26×	`associate--l+_binary64` `associate-+l+_binary64`
25×	`associate--r+_binary64`
22×	`cube-prod_binary64`
21×	`log-div_binary64` `associate-/r/_binary64`
20×	`unsub-neg_binary64` `/-rgt-identity_binary64`
19×	`exp-sum_binary64` `distribute-lft-neg-out_binary64`
18×	`associate-+r+_binary64`
17×	`pow-sqr_binary64`
11×	`swap-sqr_binary64`
9×	`cube-div_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64`
8×	`pow-plus_binary64`
7×	`cube-unmult_binary64` `distribute-lft-out--_binary64`
6×	`div-sub_binary64`
5×	`log-pow_binary64` `unpow3_binary64`
4×	`exp-neg_binary64` `cube-mult_binary64`
3×	`log-rec_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-base-1_binary64` `unpow1_binary64` `associate-+r-_binary64`
2×	`exp-to-pow_binary64` `rem-sqrt-square_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `associate-+l-_binary64`
1×	`prod-exp_binary64` `exp-diff_binary64` `1-exp_binary64` `exp-1-e_binary64` `+-inverses_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `distribute-frac-neg_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` `unpow1/3_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` `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` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

181 → 109

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	298	4460
1	749	4221
2	2670	4067
3	5126	4067

prune93.0ms (1.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	109	5	114

Error

1.6b

Counts

114 → 5

Compiler

Compiled 1749 to 967 computations (44.7% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 a (pow.f64 k m))
0.1b	(pow.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) 3)
1.7b	(/.f64 (.f64 a (pow.f64 k m)) (cbrt.f64 (pow.f64 (+.f64 1 (.f64 k (+.f64 k 10))) 3)))
6.8b	(cbrt.f64 (pow.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) 3))

rewrite184.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

1.6b

Rules

36×	`cbrt-prod_binary64`
26×	`add-sqr-sqrt_binary64`
21×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
20×	`add-exp-log_binary64`
16×	`unpow-prod-down_binary64`
15×	`times-frac_binary64` `associate-/r*_binary64`
12×	`cube-prod_binary64`
10×	`add-cbrt-cube_binary64`
7×	`associate-r_binary64`
6×	`cube-div_binary64` `sqr-pow_binary64` `prod-exp_binary64`
5×	`pow1_binary64`
4×	`add-log-exp_binary64` `cbrt-div_binary64` `unpow3_binary64` `cube-mult_binary64` `div-exp_binary64`
3×	`flip3-+_binary64` `flip-+_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `pow-unpow_binary64` `unswap-sqr_binary64` `associate-l_binary64`
2×	`cbrt-undiv_binary64` `cbrt-unprod_binary64` `associate-/r/_binary64`
1×	`pow1/3_binary64` `rem-cbrt-cube_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l_binary64` `pow-pow_binary64` `rem-cube-cbrt_binary64` `-commutative_binary64`

Counts

4 → 122

Calls

4 calls:

10.0ms	(/.f64 (.f64 a (pow.f64 k m)) (cbrt.f64 (pow.f64 (+.f64 1 (.f64 k (+.f64 k 10))) 3)))
5.0ms	(*.f64 a (pow.f64 k m))
4.0ms	(cbrt.f64 (pow.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) 3))
4.0ms	(pow.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) 3)

Compiler

Compiled 2763 to 1780 computations (35.6% saved)

series192.0ms (3.4%)

Error

1.6b

Counts

4 → 51

Calls

4 calls:

77.0ms	(/.f64 (.f64 a (pow.f64 k m)) (cbrt.f64 (pow.f64 (+.f64 1 (.f64 k (+.f64 k 10))) 3)))
44.0ms	(*.f64 a (pow.f64 k m))
17.0ms	(pow.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) 3)
16.0ms	(cbrt.f64 (pow.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) 3))

Compiler

Compiled 2171 to 1656 computations (23.7% saved)

simplify150.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

317×	`unswap-sqr_binary64`
296×	`exp-prod_binary64`
266×	`log-prod_binary64`
225×	`cancel-sign-sub-inv_binary64`
206×	`associate-r_binary64`
194×	`times-frac_binary64`
186×	`associate-l_binary64`
165×	`associate-/l*_binary64`
123×	`distribute-rgt-neg-in_binary64`
109×	`sqr-pow_binary64`
108×	`distribute-lft-neg-in_binary64`
102×	`log-div_binary64`
94×	`associate-/r*_binary64`
92×	`*-commutative_binary64`
88×	`distribute-rgt-out_binary64`
75×	`sub-neg_binary64`
69×	`unpow3_binary64`
65×	`cube-prod_binary64`
61×	`+-commutative_binary64`
53×	`distribute-rgt-in_binary64`
52×	`*-rgt-identity_binary64`
51×	`distribute-lft-in_binary64`
50×	`associate-*l/_binary64`
44×	`associate-/l/_binary64`
41×	`swap-sqr_binary64`
40×	`-lft-identity_binary64` `associate-r/_binary64`
39×	`exp-sum_binary64` `neg-sub0_binary64` `distribute-neg-in_binary64`
38×	`distribute-neg-frac_binary64`
37×	`neg-mul-1_binary64`
34×	`associate-+l+_binary64`
33×	`associate-+r+_binary64`
32×	`log-pow_binary64`
29×	`distribute-rgt-out--_binary64`
28×	`/-rgt-identity_binary64`
26×	`pow-plus_binary64`
25×	`pow-sqr_binary64`
24×	`associate-/r/_binary64`
21×	`distribute-lft-neg-out_binary64`
18×	`cube-div_binary64` `associate--r+_binary64`
17×	`associate--l+_binary64`
14×	`log-rec_binary64`
13×	`cube-unmult_binary64` `cube-mult_binary64` `distribute-rgt-neg-out_binary64`
12×	`unsub-neg_binary64`
11×	`rem-sqrt-square_binary64`
8×	`rem-cbrt-cube_binary64` `distribute-rgt1-in_binary64`
7×	`exp-to-pow_binary64` `div-sub_binary64`
5×	`unpow1/2_binary64`
4×	`pow-base-1_binary64` `unpow1_binary64` `exp-neg_binary64`
3×	`unpow2_binary64`
2×	`mul-1-neg_binary64` `remove-double-neg_binary64`
1×	`exp-diff_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_binary64` `+-inverses_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate-+l-_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` `unpow1/3_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` `sqr-abs_binary64` `sqr-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

173 → 136

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	266	3794
1	622	3420
2	2789	3311
3	4545	3279
4	5148	3279

prune110.0ms (1.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	136	5	141

Error

1.6b

Counts

141 → 5

Compiler

Compiled 1870 to 1141 computations (39% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 a (pow.f64 k m))
0.0b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (.f64 k 10) 1))

rewrite73.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

1.6b

Rules

17×	`add-exp-log_binary64`
12×	`add-sqr-sqrt_binary64`
9×	`add-cbrt-cube_binary64`
7×	`add-cube-cbrt_binary64` `-un-lft-identity_binary64` `associate-r*_binary64`
6×	`prod-exp_binary64`
4×	`div-exp_binary64` `unpow-prod-down_binary64`
3×	`times-frac_binary64` `associate-/r_binary64` `unswap-sqr_binary64` `associate-l*_binary64`
2×	`pow1_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `cbrt-unprod_binary64` `associate-/r/_binary64` `sqr-pow_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-/l_binary64` `-commutative_binary64`

Counts

2 → 50

Calls

2 calls:

7.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (.f64 k 10) 1))
5.0ms	(*.f64 a (pow.f64 k m))

Compiler

Compiled 894 to 478 computations (46.5% saved)

series116.0ms (2%)

Error

1.6b

Counts

2 → 26

Calls

2 calls:

56.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (.f64 k 10) 1))
42.0ms	(*.f64 a (pow.f64 k m))

Compiler

Compiled 1056 to 806 computations (23.7% saved)

simplify99.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

370×	`*-commutative_binary64`
353×	`associate-/r*_binary64`
327×	`associate-*l/_binary64`
250×	`associate-*r/_binary64`
247×	`associate-/l/_binary64`
237×	`associate-/r/_binary64`
178×	`unswap-sqr_binary64`
155×	`cancel-sign-sub-inv_binary64`
154×	`exp-prod_binary64`
139×	`associate-r_binary64`
129×	`associate-l_binary64`
123×	`log-prod_binary64`
122×	`sqr-pow_binary64`
107×	`associate-/l*_binary64`
102×	`log-div_binary64`
89×	`*-rgt-identity_binary64`
84×	`sub-neg_binary64`
70×	`associate-+l+_binary64`
65×	`cube-prod_binary64`
56×	`*-lft-identity_binary64`
55×	`cube-div_binary64`
53×	`distribute-rgt-in_binary64`
52×	`associate-+r+_binary64`
51×	`+-commutative_binary64`
45×	`unpow3_binary64`
44×	`div-sub_binary64`
43×	`times-frac_binary64` `neg-sub0_binary64` `unsub-neg_binary64`
42×	`neg-mul-1_binary64` `distribute-lft-in_binary64`
38×	`log-pow_binary64`
37×	`distribute-rgt-neg-in_binary64`
35×	`exp-sum_binary64` `distribute-lft-neg-in_binary64`
34×	`distribute-rgt-out_binary64`
33×	`pow-sqr_binary64` `distribute-neg-frac_binary64`
30×	`swap-sqr_binary64`
27×	`distribute-neg-in_binary64`
26×	`/-rgt-identity_binary64`
17×	`log-rec_binary64` `pow-plus_binary64` `exp-to-pow_binary64`
16×	`exp-diff_binary64` `associate--l+_binary64`
15×	`distribute-lft-out_binary64`
14×	`associate-+l-_binary64`
13×	`cube-mult_binary64` `associate-+r-_binary64`
11×	`cube-unmult_binary64` `distribute-rgt-out--_binary64`
10×	`distribute-frac-neg_binary64`
8×	`exp-neg_binary64` `+-rgt-identity_binary64`
6×	`distribute-lft-neg-out_binary64` `distribute-rgt1-in_binary64` `associate--l-_binary64`
5×	`unpow1/2_binary64` `pow-base-1_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64`
4×	`rem-exp-log_binary64` `rem-sqrt-square_binary64` `remove-double-neg_binary64` `associate--r+_binary64`
3×	`unpow2_binary64` `unpow1_binary64` `sqr-neg_binary64` `sub0-neg_binary64` `associate--r-_binary64`
2×	`mul-1-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `+-inverses_binary64`
1×	`exp-lft-sqr_binary64` `exp-sqrt_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `div0_binary64` `difference-of-sqr-1_binary64` `distribute-lft1-in_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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-lft-out--_binary64`

Counts

76 → 41

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	159	1405
1	399	1274
2	1426	1243
3	3624	1237
4	4701	1237
5	4908	1237

prune28.0ms (0.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	40	1	41
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	41	5	46

Error

1.6b

Counts

46 → 5

Compiler

Compiled 454 to 274 computations (39.6% saved)

regimes708.0ms (12.5%)

Accuracy

Total 0.0b remaining (1.8%)

Threshold costs 0.0b (1.8%)

Compiler

Compiled 8588 to 7006 computations (18.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64` `+-commutative_binary64`
1×	`unpow1_binary64` `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` `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` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-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-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` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	19
1	19	19
2	18	19

end1.0ms (0%)

Compiler: Compiled 13 to 11 computations (15.4% saved)

sample1.5s (26.7%)

Algorithm

1×

intervals

Results

510.0ms	8000×	body	128	valid
283.0ms	3219×	body	128	invalid
91.0ms	1993×	body	128	nan

Compiler

Compiled 115 to 106 computations (7.8% saved)

Details

analyze1.1s (19.3%)

sample47.0ms (0.8%)

simplify118.0ms (2.1%)

prune3.0ms (0.1%)

localize9.0ms (0.2%)

rewrite157.0ms (2.8%)

series179.0ms (3.2%)

simplify135.0ms (2.4%)

prune53.0ms (0.9%)

localize12.0ms (0.2%)

rewrite263.0ms (4.6%)

series194.0ms (3.4%)

simplify122.0ms (2.1%)

prune93.0ms (1.6%)

localize14.0ms (0.2%)

rewrite184.0ms (3.2%)

series192.0ms (3.4%)

simplify150.0ms (2.6%)

prune110.0ms (1.9%)

localize7.0ms (0.1%)

rewrite73.0ms (1.3%)

series116.0ms (2%)

simplify99.0ms (1.7%)

prune28.0ms (0.5%)

regimes708.0ms (12.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample1.5s (26.7%)

Profiling