Details

analyze32.0ms (0.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

182×	`associate-+l+_binary64`
70×	`associate-+r+_binary64`
50×	`+-commutative_binary64`
1×	`swap-a-b` `swap-a-c` `swap-a-d` `swap-a-e`
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` `1-exp_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` `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` `mul0-rgt_binary64` `mul0-lft_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-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-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate-l_binary64` `associate-r_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `-commutative_binary64` `swap-b-c` `swap-b-d` `swap-c-d` `swap-b-e` `swap-c-e` `swap-d-e`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	143
1	100	143
2	197	143
3	186	143
4	186	143
0	5	5
1	5	5

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Symmetry

(sort a b c d e)

Compiler

Compiled 21 to 16 computations (23.8% saved)

sample46.0ms (1.2%)

Algorithm

1×

intervals

Results

11.0ms	256×	pre	128	true
7.0ms	256×	body	128	valid

Compiler

Compiled 30 to 30 computations (0% saved)

simplify11.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

128×	`associate-+l+_binary64`
99×	`associate-+r+_binary64`
56×	`+-commutative_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` `1-exp_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` `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` `mul0-rgt_binary64` `mul0-lft_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-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-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate-l_binary64` `associate-r_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `-commutative_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	20	13
2	56	13
3	143	13
4	188	13
5	186	13
6	186	13

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

0.4b

Counts

1 → 1

Compiler

Compiled 9 to 9 computations (0% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.2b	(+.f64 (+.f64 e d) c)
0.2b	(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
0.3b	(+.f64 (+.f64 (+.f64 e d) c) b)

rewrite90.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

31×	`add-log-exp_binary64` `*-un-lft-identity_binary64`
19×	`sum-log_binary64` `distribute-lft-out_binary64`
3×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-+l+_binary64` `+-commutative_binary64`

Counts

3 → 51

Calls

3 calls:

18.0ms	(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
9.0ms	(+.f64 (+.f64 (+.f64 e d) c) b)
6.0ms	(+.f64 (+.f64 e d) c)

Compiler

Compiled 709 to 171 computations (75.9% saved)

series106.0ms (2.8%)

Error

0.0b

Counts

3 → 72

Calls

3 calls:

40.0ms	(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
32.0ms	(+.f64 (+.f64 (+.f64 e d) c) b)
20.0ms	(+.f64 (+.f64 e d) c)

Compiler

Compiled 966 to 939 computations (2.8% saved)

simplify88.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

672×	`associate--r+_binary64`
506×	`associate-+r+_binary64`
458×	`associate--l+_binary64`
323×	`sub-neg_binary64`
232×	`cancel-sign-sub-inv_binary64`
180×	`+-commutative_binary64`
164×	`distribute-neg-in_binary64`
151×	`unsub-neg_binary64`
148×	`associate-l_binary64`
144×	`neg-mul-1_binary64`
134×	`associate-r_binary64`
133×	`neg-sub0_binary64`
128×	`*-commutative_binary64`
122×	`distribute-rgt-in_binary64`
110×	`exp-sum_binary64` `distribute-lft-in_binary64`
98×	`distribute-rgt-out_binary64`
97×	`associate-+l+_binary64`
77×	`associate--r-_binary64`
72×	`unswap-sqr_binary64`
50×	`prod-exp_binary64`
45×	`sub0-neg_binary64`
43×	`distribute-rgt-neg-in_binary64` `associate-+r-_binary64`
39×	`sqr-pow_binary64`
35×	`distribute-lft-neg-in_binary64`
33×	`distribute-rgt-out--_binary64`
28×	`+-rgt-identity_binary64`
26×	`associate-+l-_binary64`
17×	`associate--l-_binary64`
13×	`cube-unmult_binary64` `difference-of-squares_binary64`
12×	`distribute-lft-neg-out_binary64`
10×	`remove-double-neg_binary64`
6×	`unpow3_binary64` `pow-plus_binary64` `cube-mult_binary64`
5×	`*-lft-identity_binary64`
4×	`--rgt-identity_binary64`
3×	`distribute-neg-out_binary64` `distribute-rgt-neg-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` `unpow2_binary64` `unpow1/2_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` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_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` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_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`

Counts

123 → 85

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	106	1275
1	283	1248
2	1017	1230
3	2349	1230
4	4587	1230
5	4853	1230

prune40.0ms (1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	75	10	85
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	75	11	86

Error

Counts

86 → 11

Compiler

Compiled 692 to 248 computations (64.2% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.2b	(+.f64 e (+.f64 (+.f64 b c) a))
0.2b	(+.f64 d (+.f64 e (+.f64 (+.f64 b c) a)))
0.2b	(+.f64 (+.f64 b c) a)

rewrite93.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

31×	`add-log-exp_binary64` `*-un-lft-identity_binary64`
19×	`sum-log_binary64` `distribute-lft-out_binary64`
3×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`
2×	`associate-+r+_binary64`
1×	`associate-+l+_binary64`

Counts

3 → 51

Calls

3 calls:

12.0ms	(+.f64 d (+.f64 e (+.f64 (+.f64 b c) a)))
8.0ms	(+.f64 e (+.f64 (+.f64 b c) a))
6.0ms	(+.f64 (+.f64 b c) a)

Compiler

Compiled 709 to 171 computations (75.9% saved)

series102.0ms (2.7%)

Error

Counts

3 → 72

Calls

3 calls:

41.0ms	(+.f64 d (+.f64 e (+.f64 (+.f64 b c) a)))
31.0ms	(+.f64 e (+.f64 (+.f64 b c) a))
20.0ms	(+.f64 (+.f64 b c) a)

Compiler

Compiled 906 to 923 computations (-1.9% saved)

simplify97.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

663×	`associate-+l+_binary64`
617×	`associate-+r+_binary64`
412×	`sub-neg_binary64`
382×	`distribute-neg-in_binary64`
293×	`neg-mul-1_binary64`
272×	`associate--r+_binary64`
271×	`cancel-sign-sub-inv_binary64`
239×	`unsub-neg_binary64`
180×	`+-commutative_binary64`
172×	`associate--l+_binary64`
169×	`distribute-rgt-in_binary64`
157×	`distribute-lft-in_binary64`
152×	`*-commutative_binary64`
130×	`associate-r_binary64`
128×	`associate-l_binary64`
108×	`exp-sum_binary64`
77×	`neg-sub0_binary64`
55×	`prod-exp_binary64`
37×	`distribute-lft-neg-out_binary64`
34×	`associate-+r-_binary64`
31×	`distribute-rgt-neg-out_binary64`
28×	`+-rgt-identity_binary64` `associate-+l-_binary64`
26×	`sqr-pow_binary64`
15×	`distribute-rgt-neg-in_binary64`
14×	`sub0-neg_binary64`
13×	`cube-unmult_binary64`
12×	`unpow3_binary64` `unswap-sqr_binary64`
9×	`difference-of-squares_binary64` `distribute-lft-neg-in_binary64`
8×	`distribute-rgt-out--_binary64`
6×	`cube-mult_binary64` `distribute-neg-out_binary64` `distribute-rgt-out_binary64` `associate--l-_binary64`
1×	`1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `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` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_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` `remove-double-neg_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` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_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` `associate--r-_binary64`

Counts

123 → 88

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	101	1263
1	281	1236
2	1163	1233
3	3788	1233
4	4854	1233
5	4711	1233

prune44.0ms (1.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	85	3	88
Fresh	5	4	9
Picked	1	0	1
Done	1	0	1
Total	92	7	99

Error

Counts

99 → 7

Compiler

Compiled 630 to 215 computations (65.9% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b	(+.f64 (+.f64 b c) a)
0.3b	(+.f64 (+.f64 e d) (+.f64 (+.f64 b c) a))

rewrite63.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`add-log-exp_binary64` `*-un-lft-identity_binary64`
18×	`sum-log_binary64` `distribute-lft-out_binary64`
6×	`flip3-+_binary64` `flip-+_binary64`
4×	`frac-add_binary64`
2×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `associate-+l+_binary64` `+-commutative_binary64`
1×	`associate-+r+_binary64`

Counts

2 → 43

Calls

2 calls:

11.0ms	(+.f64 (+.f64 e d) (+.f64 (+.f64 b c) a))
5.0ms	(+.f64 (+.f64 b c) a)

Compiler

Compiled 741 to 161 computations (78.3% saved)

series69.0ms (1.8%)

Error

Counts

2 → 48

Calls

2 calls:

40.0ms	(+.f64 (+.f64 e d) (+.f64 (+.f64 b c) a))
20.0ms	(+.f64 (+.f64 b c) a)

Compiler

Compiled 649 to 623 computations (4% saved)

simplify56.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

681×	`associate-+l+_binary64`
577×	`associate-+r+_binary64`
348×	`associate-l_binary64` `associate-r_binary64`
194×	`distribute-rgt-in_binary64`
186×	`associate--r+_binary64`
182×	`distribute-lft-in_binary64`
112×	`associate--l+_binary64`
78×	`sub-neg_binary64`
72×	`distribute-neg-in_binary64`
61×	`*-commutative_binary64` `+-commutative_binary64`
49×	`exp-sum_binary64`
43×	`distribute-lft-neg-out_binary64`
37×	`distribute-rgt-neg-out_binary64`
34×	`associate-+r-_binary64`
33×	`associate-+l-_binary64`
30×	`cancel-sign-sub-inv_binary64`
21×	`distribute-rgt-out_binary64`
20×	`prod-exp_binary64` `neg-mul-1_binary64` `neg-sub0_binary64`
19×	`sqr-pow_binary64`
16×	`unsub-neg_binary64`
12×	`distribute-rgt-neg-in_binary64`
10×	`unswap-sqr_binary64`
7×	`distribute-rgt-out--_binary64`
6×	`unpow3_binary64` `cube-mult_binary64` `distribute-lft-neg-in_binary64`
3×	`difference-of-squares_binary64`
1×	`cube-unmult_binary64` `associate--l-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_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` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_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` `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` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_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` `associate--r-_binary64`

Counts

91 → 53

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	111	1251
1	343	1224
2	1415	1179
3	5063	1179

prune31.0ms (0.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	52	1	53
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	53	7	60

Error

Counts

60 → 7

Compiler

Compiled 587 to 185 computations (68.5% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.2b	(+.f64 e (+.f64 d (+.f64 a (+.f64 b c))))
0.2b	(+.f64 a (+.f64 b c))
0.2b	(+.f64 d (+.f64 a (+.f64 b c)))

rewrite75.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

31×	`add-log-exp_binary64` `*-un-lft-identity_binary64`
19×	`sum-log_binary64` `distribute-lft-out_binary64`
3×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-+r+_binary64` `+-commutative_binary64`

Counts

3 → 51

Calls

3 calls:

11.0ms	(+.f64 e (+.f64 d (+.f64 a (+.f64 b c))))
8.0ms	(+.f64 d (+.f64 a (+.f64 b c)))
5.0ms	(+.f64 a (+.f64 b c))

Compiler

Compiled 709 to 171 computations (75.9% saved)

series99.0ms (2.6%)

Error

Counts

3 → 72

Calls

3 calls:

39.0ms	(+.f64 e (+.f64 d (+.f64 a (+.f64 b c))))
31.0ms	(+.f64 d (+.f64 a (+.f64 b c)))
20.0ms	(+.f64 a (+.f64 b c))

Compiler

Compiled 936 to 927 computations (1% saved)

simplify100.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

528×	`associate-+l+_binary64`
496×	`associate-+r+_binary64`
434×	`associate-+l-_binary64`
364×	`sub-neg_binary64`
317×	`distribute-neg-in_binary64`
226×	`cancel-sign-sub-inv_binary64`
218×	`distribute-rgt-out_binary64` `associate--r+_binary64`
204×	`neg-mul-1_binary64`
203×	`unsub-neg_binary64`
165×	`associate-r_binary64`
146×	`associate-l_binary64`
145×	`+-commutative_binary64`
143×	`associate--l+_binary64`
140×	`distribute-rgt-in_binary64`
137×	`*-commutative_binary64`
128×	`distribute-lft-in_binary64`
118×	`associate--l-_binary64`
108×	`exp-sum_binary64`
72×	`neg-sub0_binary64`
71×	`distribute-rgt-neg-in_binary64`
63×	`distribute-lft-neg-in_binary64`
49×	`prod-exp_binary64`
46×	`distribute-rgt-out--_binary64`
36×	`distribute-lft-neg-out_binary64`
30×	`associate-+r-_binary64`
27×	`distribute-rgt-neg-out_binary64`
26×	`sqr-pow_binary64`
25×	`+-rgt-identity_binary64` `associate--r-_binary64`
13×	`cube-unmult_binary64` `sub0-neg_binary64`
12×	`unswap-sqr_binary64`
10×	`distribute-neg-out_binary64`
9×	`difference-of-squares_binary64`
6×	`unpow3_binary64` `pow-plus_binary64` `cube-mult_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` `unpow2_binary64` `unpow1/2_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` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_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` `remove-double-neg_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` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_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`

Counts

123 → 66

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	100	1257
1	301	1230
2	1069	1230
3	3222	1230
4	4928	1230
5	4890	1230

prune24.0ms (0.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	66	7	73

Error

Counts

73 → 7

Compiler

Compiled 413 to 106 computations (74.3% saved)

regimes1.4s (36%)

Accuracy

Total 0.0b remaining (54.7%)

Threshold costs 0.0b (54.7%)

Compiler

Compiled 13499 to 12382 computations (8.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4× *-commutative_binary64

0× not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 unpow1_binary64 e-exp-1_binary64 1-exp_binary64 exp-1-e_binary64 exp-0_binary64 sqr-abs_binary64 sqr-neg_binary64 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 +-commutative_binary64

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	25
1	20	25
2	20	25

end16.0ms (0.4%)

Remove: (sort a b c d e)
Compiler: Compiled 45 to 45 computations (0% saved)

sample1.1s (29.6%)

Algorithm

1×

intervals

Results

364.0ms	8000×	pre	128	true
216.0ms	8000×	body	128	valid

Compiler

Compiled 129 to 136 computations (-5.4% saved)

Details

analyze32.0ms (0.8%)

sample46.0ms (1.2%)

simplify11.0ms (0.3%)

prune1.0ms (0%)

localize7.0ms (0.2%)

rewrite90.0ms (2.4%)

series106.0ms (2.8%)

simplify88.0ms (2.3%)

prune40.0ms (1%)

localize7.0ms (0.2%)

rewrite93.0ms (2.4%)

series102.0ms (2.7%)

simplify97.0ms (2.6%)

prune44.0ms (1.1%)

localize7.0ms (0.2%)

rewrite63.0ms (1.6%)

series69.0ms (1.8%)

simplify56.0ms (1.5%)

prune31.0ms (0.8%)

localize7.0ms (0.2%)

rewrite75.0ms (2%)

series99.0ms (2.6%)

simplify100.0ms (2.6%)

prune24.0ms (0.6%)

regimes1.4s (36%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end16.0ms (0.4%)

sample1.1s (29.6%)

Profiling