Details

analyze1.2s (14.2%)

Algorithm

1×	search
2×	egg-herbie

Rules

539×	`associate--r+_binary64`
527×	`cancel-sign-sub-inv_binary64`
466×	`associate-+r+_binary64`
420×	`sub-neg_binary64`
386×	`unsub-neg_binary64`
384×	`+-commutative_binary64`
336×	`associate-+l+_binary64`
309×	`associate--l+_binary64`
305×	`distribute-neg-in_binary64`
288×	`associate--r-_binary64`
218×	`neg-mul-1_binary64` `distribute-neg-out_binary64`
175×	`neg-sub0_binary64`
126×	`distribute-rgt-in_binary64`
115×	`associate-+r-_binary64`
94×	`distribute-rgt-neg-in_binary64`
70×	`distribute-lft-in_binary64`
65×	`--rgt-identity_binary64`
59×	`associate-+l-_binary64`
56×	`remove-double-neg_binary64`
54×	`distribute-lft-neg-in_binary64`
51×	`*-commutative_binary64`
46×	`distribute-lft-neg-out_binary64`
45×	`associate-r_binary64`
43×	`sub0-neg_binary64`
41×	`+-rgt-identity_binary64`
30×	`associate--l-_binary64`
20×	`distribute-rgt1-in_binary64`
18×	`log-prod_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
16×	`distribute-rgt-neg-out_binary64`
10×	`associate-l_binary64`
1×	`1-exp_binary64` `swap-x-y`
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` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `+-lft-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` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_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	94	384
1	274	384
2	1043	384
3	2782	384
4	4384	384
5	4561	384
6	4998	384
7	4964	384
0	6	6
1	6	6

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	74.8%	25.2%	5
0%	74.8%	25.2%	6
0%	74.8%	25.2%	7
0%	74.8%	25.2%	8
0%	74.8%	25.2%	9
0%	62.3%	37.7%	10
0%	56.1%	43.9%	11
0%	56.1%	43.9%	12
1.6%	54.5%	43.9%	13
2.4%	53.7%	43.9%	14

Symmetry

(sort x y)

Compiler

Compiled 17 to 16 computations (5.9% saved)

sample49.0ms (0.6%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
3.0ms	42×	body	128	invalid
2.0ms	33×	body	128	nan

Compiler

Compiled 33 to 37 computations (-12.1% saved)

simplify456.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

1270×	`associate--r-_binary64`
946×	`sub-neg_binary64`
658×	`unsub-neg_binary64`
445×	`+-commutative_binary64`
391×	`distribute-neg-in_binary64`
370×	`distribute-rgt-in_binary64`
310×	`associate--l-_binary64`
255×	`neg-sub0_binary64`
231×	`associate--l+_binary64`
224×	`distribute-neg-out_binary64`
221×	`neg-mul-1_binary64`
210×	`*-commutative_binary64`
181×	`associate-+l-_binary64`
172×	`distribute-lft-out--_binary64`
167×	`associate--r+_binary64`
157×	`distribute-rgt-neg-in_binary64`
146×	`distribute-lft-neg-in_binary64`
138×	`distribute-lft-neg-out_binary64` `associate-+r+_binary64`
131×	`cancel-sign-sub-inv_binary64`
128×	`associate-+l+_binary64`
116×	`remove-double-neg_binary64`
104×	`cancel-sign-sub_binary64`
93×	`associate-+r-_binary64`
89×	`distribute-lft-in_binary64`
77×	`distribute-rgt-out--_binary64`
68×	`*-lft-identity_binary64`
62×	`mul-1-neg_binary64`
59×	`sub0-neg_binary64` `associate-l_binary64`
43×	`distribute-rgt-neg-out_binary64`
34×	`distribute-rgt-out_binary64`
30×	`+-rgt-identity_binary64`
26×	`distribute-lft-out_binary64`
18×	`-rgt-identity_binary64` `associate-r*_binary64`
14×	`--rgt-identity_binary64`
12×	`mul0-rgt_binary64` `mul0-lft_binary64`
2×	`distribute-rgt1-in_binary64`
1×	`1-exp_binary64` `+-lft-identity_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `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-lft1-in_binary64` `count-2_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	16	24
1	35	24
2	97	24
3	249	24
4	684	24
5	1638	24
6	2045	24
7	2758	24
8	3074	24
9	3216	24
10	3000	24
11	3004	24
12	3100	24
13	3398	24
14	3491	24
15	3497	24
16	3497	24
17	3503	24
18	3509	24
19	3509	24
20	3527	24
21	3511	24
22	3511	24
23	4539	24
24	3780	24
25	3765	24
26	3765	24
27	3765	24
28	3765	24
29	3701	24

prune2.0ms (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 16 to 15 computations (6.3% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
0.0b	(*.f64 (-.f64 a 1/2) b)
0.1b	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
0.2b	(*.f64 z (log.f64 t))

rewrite170.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

27×	`add-log-exp_binary64`
18×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64`
12×	`add-cube-cbrt_binary64` `log-prod_binary64`
10×	`sum-log_binary64`
9×	`pow1_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
7×	`associate-r_binary64`
6×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64` `diff-log_binary64` `flip3--_binary64` `flip--_binary64` `associate--r+_binary64` `associate-*l/_binary64`
4×	`frac-add_binary64`
3×	`associate-+l+_binary64`
2×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64` `associate--l+_binary64`
1×	`log-pow_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-+l-_binary64` `+-commutative_binary64`

Counts

4 → 90

Calls

4 calls:

13.0ms	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
9.0ms	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
6.0ms	(*.f64 (-.f64 a 1/2) b)
5.0ms	(*.f64 z (log.f64 t))

Compiler

Compiled 2289 to 756 computations (67% saved)

series314.0ms (3.7%)

Error

0.0b

Counts

4 → 69

Calls

4 calls:

143.0ms	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
77.0ms	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
32.0ms	(*.f64 z (log.f64 t))
21.0ms	(*.f64 (-.f64 a 1/2) b)

Compiler

Compiled 2220 to 1856 computations (16.4% saved)

simplify135.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

439×	`associate--l+_binary64`
263×	`associate--r+_binary64`
232×	`exp-diff_binary64`
193×	`distribute-rgt-in_binary64`
187×	`distribute-lft-in_binary64`
173×	`sub-neg_binary64`
141×	`associate-l_binary64`
135×	`distribute-rgt-neg-in_binary64`
129×	`exp-prod_binary64`
126×	`*-commutative_binary64`
124×	`associate-r_binary64`
115×	`associate-+r-_binary64`
104×	`associate-+l-_binary64` `associate-+l+_binary64`
98×	`+-commutative_binary64`
92×	`distribute-lft-neg-in_binary64`
85×	`distribute-lft-neg-out_binary64`
80×	`distribute-neg-in_binary64`
70×	`exp-sum_binary64`
68×	`associate--r-_binary64`
67×	`associate-+r+_binary64`
66×	`cancel-sign-sub-inv_binary64`
63×	`log-prod_binary64` `distribute-rgt-neg-out_binary64`
57×	`neg-sub0_binary64`
55×	`unsub-neg_binary64`
52×	`neg-mul-1_binary64`
44×	`distribute-rgt-out_binary64`
38×	`div-exp_binary64`
34×	`sqr-pow_binary64`
32×	`prod-exp_binary64`
28×	`cube-prod_binary64`
27×	`-rgt-identity_binary64` `associate-/l_binary64`
25×	`cancel-sign-sub_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out_binary64`
24×	`*-lft-identity_binary64`
20×	`associate--l-_binary64`
19×	`times-frac_binary64`
16×	`unswap-sqr_binary64`
13×	`unpow3_binary64`
12×	`swap-sqr_binary64`
10×	`exp-to-pow_binary64` `associate-l/_binary64` `associate-r/_binary64`
8×	`distribute-rgt1-in_binary64` `associate-/r*_binary64`
7×	`associate-/r/_binary64`
6×	`remove-double-neg_binary64` `+-rgt-identity_binary64`
5×	`cube-mult_binary64` `mul-1-neg_binary64` `distribute-lft-out--_binary64`
4×	`unpow1/2_binary64` `sub0-neg_binary64` `difference-of-squares_binary64`
3×	`distribute-neg-out_binary64`
2×	`log-div_binary64` `pow-sqr_binary64` `count-2_binary64` `associate-/l/_binary64`
1×	`log-rec_binary64` `rec-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-neg_binary64` `sqr-neg_binary64` `+-inverses_binary64` `distribute-lft1-in_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `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-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-div_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` `div-sub_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` `difference-of-sqr-1_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64`

Counts

159 → 132

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	244	2944
1	618	2798
2	2546	2736
3	4767	2736
4	5219	2736

prune114.0ms (1.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	125	7	132
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	126	7	133

Error

0.0b

Counts

133 → 7

Compiler

Compiled 1996 to 781 computations (60.9% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 z (log.f64 (cbrt.f64 t)))
0.3b	(+.f64 (.f64 z (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 z (log.f64 (cbrt.f64 t))))
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)

rewrite215.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

4 → 102

Calls

4 calls:

12.0ms	(+.f64 (.f64 z (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 z (log.f64 (cbrt.f64 t))))
5.0ms	(*.f64 z (log.f64 (cbrt.f64 t)))
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

Compiler

Compiled 3275 to 1263 computations (61.4% saved)

series172.0ms (2%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

59.0ms	(+.f64 (.f64 z (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 z (log.f64 (cbrt.f64 t))))
58.0ms	(*.f64 z (log.f64 (cbrt.f64 t)))
21.0ms	(cbrt.f64 t)
18.0ms	(cbrt.f64 t)

Compiler

Compiled 1147 to 967 computations (15.7% saved)

simplify154.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

415×	`log-prod_binary64`
404×	`cancel-sign-sub-inv_binary64`
364×	`distribute-rgt-out_binary64`
330×	`*-commutative_binary64`
302×	`distribute-rgt-neg-in_binary64`
251×	`distribute-lft-neg-in_binary64`
184×	`associate-l_binary64`
183×	`exp-prod_binary64`
176×	`distribute-rgt-in_binary64`
165×	`exp-sum_binary64`
154×	`distribute-lft-in_binary64` `associate-r_binary64`
127×	`distribute-neg-in_binary64`
115×	`log-div_binary64` `associate--l+_binary64`
111×	`distribute-lft-out_binary64`
93×	`sqr-pow_binary64`
91×	`distribute-rgt-out--_binary64` `count-2_binary64`
89×	`log-pow_binary64`
85×	`cube-prod_binary64`
75×	`swap-sqr_binary64`
70×	`exp-to-pow_binary64`
68×	`unswap-sqr_binary64`
64×	`sub-neg_binary64`
62×	`+-commutative_binary64`
47×	`neg-sub0_binary64`
46×	`neg-mul-1_binary64` `distribute-lft-neg-out_binary64`
43×	`distribute-lft-out--_binary64` `associate-/r*_binary64`
39×	`*-lft-identity_binary64`
33×	`associate-/l*_binary64`
31×	`exp-diff_binary64`
26×	`*-rgt-identity_binary64` `associate-+l+_binary64`
25×	`distribute-rgt1-in_binary64`
22×	`associate-+r+_binary64`
20×	`distribute-rgt-neg-out_binary64` `associate--r-_binary64`
19×	`log-rec_binary64` `unpow3_binary64`
17×	`pow-sqr_binary64`
16×	`associate-/l/_binary64`
14×	`unsub-neg_binary64`
13×	`distribute-lft1-in_binary64`
10×	`cube-mult_binary64`
9×	`div-sub_binary64`
8×	`unpow1/3_binary64`
7×	`prod-exp_binary64` `associate-+r-_binary64`
6×	`exp-lft-sqr_binary64` `+-rgt-identity_binary64` `associate-*r/_binary64` `associate-+l-_binary64`
5×	`unpow1/2_binary64` `cube-unmult_binary64` `associate--l-_binary64`
4×	`pow-plus_binary64` `rem-sqrt-square_binary64` `difference-of-squares_binary64`
3×	`exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `sub0-neg_binary64` `associate--r+_binary64`
2×	`associate-/r/_binary64`
1×	`log-E_binary64` `exp-lft-cube_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-exp-log_binary64` `rem-3cbrt-lft_binary64` `mul-1-neg_binary64` `/-rgt-identity_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` `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` `unpow2_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-cbrt_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` `+-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` `distribute-neg-out_binary64` `associate-l/_binary64`

Counts

120 → 94

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	158	1701
1	303	1540
2	1030	1398
3	2408	1390
4	4300	1320
5	4875	1320
6	5074	1320

prune143.0ms (1.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	91	3	94
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	95	6	101

Error

Counts

101 → 6

Compiler

Compiled 2134 to 960 computations (55% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (pow.f64 t 1/6) (pow.f64 t 1/6))
0.6b	(cbrt.f64 t)
4.1b	(pow.f64 t 1/6)
4.1b	(pow.f64 t 1/6)

rewrite214.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

29×	`add-sqr-sqrt_binary64`
24×	`unpow-prod-down_binary64`
18×	`add-exp-log_binary64`
17×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
12×	`sqr-pow_binary64`
9×	`prod-exp_binary64` `unswap-sqr_binary64`
8×	`pow-to-exp_binary64` `pow-exp_binary64`
7×	`swap-sqr_binary64` `associate-l_binary64` `associate-r_binary64`
6×	`pow-unpow_binary64` `pow1_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64`
3×	`cbrt-prod_binary64`
2×	`pow-pow_binary64`
1×	`pow1/3_binary64` `pow2_binary64` `pow-prod-down_binary64` `pow-prod-up_binary64` `cbrt-unprod_binary64` `pow-sqr_binary64` `*-commutative_binary64`

Counts

4 → 97

Calls

4 calls:

8.0ms	(*.f64 (pow.f64 t 1/6) (pow.f64 t 1/6))
3.0ms	(pow.f64 t 1/6)
2.0ms	(pow.f64 t 1/6)
1.0ms	(cbrt.f64 t)

Compiler

Compiled 3119 to 1723 computations (44.8% saved)

series80.0ms (1%)

Error

Counts

4 → 12

Calls

4 calls:

19.0ms	(pow.f64 t 1/6)
18.0ms	(*.f64 (pow.f64 t 1/6) (pow.f64 t 1/6))
18.0ms	(cbrt.f64 t)
17.0ms	(pow.f64 t 1/6)

Compiler

Compiled 984 to 808 computations (17.9% saved)

simplify90.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

574×	`log-div_binary64`
478×	`distribute-rgt-in_binary64`
456×	`distribute-lft-in_binary64`
411×	`associate-/r*_binary64`
266×	`associate-/l/_binary64`
178×	`distribute-rgt-neg-in_binary64`
167×	`log-prod_binary64`
166×	`unswap-sqr_binary64` `distribute-lft-neg-in_binary64`
132×	`*-commutative_binary64`
108×	`sqr-pow_binary64`
92×	`distribute-neg-in_binary64`
78×	`exp-prod_binary64`
76×	`associate-l_binary64`
75×	`cancel-sign-sub-inv_binary64`
74×	`associate-r_binary64`
61×	`cube-prod_binary64`
60×	`log-pow_binary64`
47×	`pow-sqr_binary64` `swap-sqr_binary64`
46×	`distribute-rgt-out_binary64`
43×	`exp-sum_binary64`
39×	`neg-sub0_binary64`
38×	`neg-mul-1_binary64`
36×	`associate-/l*_binary64`
29×	`sub-neg_binary64`
27×	`pow-plus_binary64` `distribute-lft-out_binary64`
23×	`count-2_binary64`
20×	`cube-unmult_binary64`
17×	`associate-+r+_binary64`
14×	`*-rgt-identity_binary64`
13×	`rem-sqrt-square_binary64` `*-lft-identity_binary64`
12×	`exp-diff_binary64`
11×	`div-sub_binary64`
10×	`unsub-neg_binary64` `associate-+l+_binary64`
9×	`distribute-rgt1-in_binary64` `associate-/r/_binary64`
7×	`associate--r+_binary64`
6×	`unpow1/3_binary64` `+-lft-identity_binary64` `+-commutative_binary64`
5×	`unpow3_binary64` `distribute-lft1-in_binary64`
4×	`exp-to-pow_binary64` `pow-base-1_binary64` `exp-neg_binary64` `distribute-rgt-neg-out_binary64`
3×	`distribute-lft-neg-out_binary64` `associate-*r/_binary64` `associate--r-_binary64`
2×	`log-rec_binary64` `unpow1/2_binary64` `rem-exp-log_binary64` `rem-3cbrt-lft_binary64` `sub0-neg_binary64` `distribute-neg-out_binary64`
1×	`unpow1_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-mult_binary64` `rem-3cbrt-rft_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64` `+-inverses_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` `unpow2_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` `cube-div_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `times-frac_binary64` `/-rgt-identity_binary64` `--rgt-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` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate-l/_binary64` `associate--l-_binary64` `associate--l+_binary64`

Counts

109 → 74

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	97	892
1	155	820
2	548	799
3	1455	791
4	4800	791
5	5520	791

prune83.0ms (1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	74	6	80

Error

Counts

80 → 6

Compiler

Compiled 1353 to 751 computations (44.5% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(+.f64 (.f64 z (.f64 (log.f64 t) 5/6)) (*.f64 (log.f64 (sqrt.f64 (cbrt.f64 t))) z))
0.3b	(.f64 z (.f64 (log.f64 t) 5/6))
0.3b	(*.f64 (log.f64 t) 5/6)
0.6b	(cbrt.f64 t)

rewrite119.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`pow1_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`add-sqr-sqrt_binary64`
8×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
7×	`associate-l_binary64`
6×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-r_binary64`
3×	`cbrt-prod_binary64`
2×	`*-commutative_binary64`
1×	`pow1/3_binary64` `unswap-sqr_binary64` `log-pow_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

4 → 59

Calls

4 calls:

6.0ms	(+.f64 (.f64 z (.f64 (log.f64 t) 5/6)) (*.f64 (log.f64 (sqrt.f64 (cbrt.f64 t))) z))
5.0ms	(.f64 z (.f64 (log.f64 t) 5/6))
4.0ms	(*.f64 (log.f64 t) 5/6)
1.0ms	(cbrt.f64 t)

Compiler

Compiled 1718 to 738 computations (57% saved)

series173.0ms (2.1%)

Error

Counts

4 → 18

Calls

4 calls:

83.0ms	(+.f64 (.f64 z (.f64 (log.f64 t) 5/6)) (*.f64 (log.f64 (sqrt.f64 (cbrt.f64 t))) z))
33.0ms	(.f64 z (.f64 (log.f64 t) 5/6))
18.0ms	(cbrt.f64 t)
17.0ms	(*.f64 (log.f64 t) 5/6)

Compiler

Compiled 1333 to 1063 computations (20.3% saved)

simplify99.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

371×	`cancel-sign-sub-inv_binary64`
351×	`*-commutative_binary64`
286×	`distribute-rgt-in_binary64`
278×	`log-prod_binary64`
269×	`distribute-lft-in_binary64`
246×	`distribute-rgt-neg-out_binary64`
240×	`distribute-neg-in_binary64`
147×	`associate-l_binary64`
141×	`associate-r_binary64`
116×	`exp-sum_binary64`
100×	`sub-neg_binary64`
93×	`distribute-rgt-neg-in_binary64`
90×	`sqr-pow_binary64`
86×	`distribute-rgt-out_binary64`
84×	`unsub-neg_binary64`
80×	`exp-prod_binary64`
79×	`distribute-lft-neg-in_binary64`
73×	`log-div_binary64` `unswap-sqr_binary64`
69×	`neg-sub0_binary64`
68×	`neg-mul-1_binary64`
64×	`cube-prod_binary64`
45×	`log-pow_binary64`
40×	`swap-sqr_binary64`
38×	`distribute-lft-out_binary64`
36×	`associate-/r*_binary64`
32×	`distribute-rgt-out--_binary64` `associate-+l+_binary64`
29×	`associate-+r+_binary64` `+-commutative_binary64`
25×	`exp-to-pow_binary64`
19×	`exp-diff_binary64`
17×	`distribute-lft-neg-out_binary64`
16×	`associate-+r-_binary64`
14×	`pow-sqr_binary64` `associate--r+_binary64`
12×	`*-rgt-identity_binary64`
11×	`remove-double-neg_binary64` `+-rgt-identity_binary64`
10×	`log-rec_binary64`
9×	`unpow3_binary64` `associate--l+_binary64` `associate-+l-_binary64`
8×	`cube-unmult_binary64` `*-lft-identity_binary64` `distribute-lft-out--_binary64`
7×	`cube-mult_binary64` `div-sub_binary64`
6×	`rem-sqrt-square_binary64` `distribute-neg-out_binary64`
5×	`exp-neg_binary64` `sub0-neg_binary64`
4×	`pow-plus_binary64` `cube-neg_binary64` `sqr-neg_binary64` `distribute-frac-neg_binary64` `count-2_binary64` `associate--r-_binary64`
3×	`difference-of-squares_binary64` `associate-/l*_binary64`
2×	`unpow1/3_binary64` `rem-exp-log_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
1×	`log-E_binary64` `unpow1/2_binary64` `rec-exp_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `mul-1-neg_binary64` `--rgt-identity_binary64` `+-inverses_binary64` `cancel-sign-sub_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` `unpow2_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` `div-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `/-rgt-identity_binary64` `div0_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` `distribute-neg-frac_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--l-_binary64`

Counts

77 → 54

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	137	1056
1	326	878
2	990	864
3	2845	861
4	4906	861
5	5100	861

prune61.0ms (0.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	54	6	60

Error

Counts

60 → 6

Compiler

Compiled 1010 to 430 computations (57.4% saved)

regimes2.9s (34.4%)

Accuracy

Total 0.1b remaining (75.1%)

Threshold costs 0.1b (75.1%)

Compiler

Compiled 37341 to 33321 computations (10.8% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

13×	`+-commutative_binary64`
11×	`*-commutative_binary64`
9×	`sub-neg_binary64`
7×	`neg-mul-1_binary64` `neg-sub0_binary64`
6×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
2×	`unsub-neg_binary64` `distribute-neg-in_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` `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` `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-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	37
1	38	37
2	47	37
3	66	37
4	84	37
5	94	37
6	99	37
7	100	37
8	97	37

end10.0ms (0.1%)

Remove: (sort x y)
Compiler: Compiled 72 to 66 computations (8.3% saved)

sample1.4s (16.4%)

Algorithm

1×

intervals

Results

501.0ms	7994×	body	128	valid
78.0ms	1168×	body	128	invalid
65.0ms	1157×	body	128	nan
1.0ms	3×	body	1024	valid
0.0ms	2×	body	256	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 213 to 207 computations (2.8% saved)

Details

analyze1.2s (14.2%)

sample49.0ms (0.6%)

simplify456.0ms (5.4%)

prune2.0ms (0%)

localize13.0ms (0.2%)

rewrite170.0ms (2%)

series314.0ms (3.7%)

simplify135.0ms (1.6%)

prune114.0ms (1.4%)

localize19.0ms (0.2%)

rewrite215.0ms (2.6%)

series172.0ms (2%)

simplify154.0ms (1.8%)

prune143.0ms (1.7%)

localize25.0ms (0.3%)

rewrite214.0ms (2.5%)

series80.0ms (1%)

simplify90.0ms (1.1%)

prune83.0ms (1%)

localize25.0ms (0.3%)

rewrite119.0ms (1.4%)

series173.0ms (2.1%)

simplify99.0ms (1.2%)

prune61.0ms (0.7%)

regimes2.9s (34.4%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

end10.0ms (0.1%)

sample1.4s (16.4%)

Profiling