Details

analyze2.9s (21.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

765×	`sub-neg_binary64`
671×	`cancel-sign-sub-inv_binary64`
466×	`associate-l_binary64`
337×	`associate-r_binary64`
267×	`*-commutative_binary64`
264×	`associate--l+_binary64`
236×	`+-commutative_binary64`
213×	`associate-+l+_binary64`
186×	`distribute-rgt-neg-in_binary64`
175×	`associate-+l-_binary64`
152×	`neg-mul-1_binary64` `neg-sub0_binary64`
135×	`associate--l-_binary64`
134×	`distribute-lft-neg-in_binary64`
105×	`unsub-neg_binary64`
52×	`distribute-lft-neg-out_binary64`
40×	`associate-+r-_binary64`
39×	`associate-+r+_binary64`
36×	`distribute-rgt-out--_binary64`
5×	`associate--r-_binary64`
1×	`associate--r+_binary64` `swap-y-z` `swap-b-c` `swap-j-k`
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` `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_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_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-/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	358	1978
1	1346	1978
2	4308	1978
3	5056	1978
0	10	10
1	10	10

Search

True	Other	False	Iter
0%	99.5%	0.5%	0
0%	99.5%	0.5%	1
0%	99.5%	0.5%	2
0%	99.5%	0.5%	3
0%	99.5%	0.5%	4
0%	99.5%	0.5%	5
0%	99.5%	0.5%	6
0%	99.5%	0.5%	7
0%	99.5%	0.5%	8
0%	99.5%	0.5%	9
0%	99.5%	0.5%	10
0%	99.5%	0.5%	11
0%	99.5%	0.5%	12
0%	99.5%	0.5%	13
0%	99.5%	0.5%	14

Symmetry

(sort y z)

(sort b c)

(sort j k)

Compiler

Compiled 32 to 30 computations (6.3% saved)

sample122.0ms (0.9%)

Algorithm

1×

intervals

Results

27.0ms	278×	body	128	invalid
20.0ms	256×	body	128	valid

Compiler

Compiled 63 to 69 computations (-9.5% saved)

simplify431.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

686×	`unsub-neg_binary64`
621×	`distribute-rgt-neg-in_binary64`
515×	`distribute-rgt-in_binary64`
434×	`sub-neg_binary64`
379×	`distribute-lft-neg-in_binary64`
348×	`distribute-lft-in_binary64`
346×	`associate--r+_binary64`
263×	`distribute-neg-in_binary64`
252×	`distribute-lft-neg-out_binary64`
235×	`associate--r-_binary64`
215×	`distribute-rgt-neg-out_binary64`
210×	`*-commutative_binary64`
209×	`associate-l_binary64`
190×	`neg-sub0_binary64`
189×	`neg-mul-1_binary64`
173×	`cancel-sign-sub-inv_binary64`
170×	`associate-+l-_binary64`
157×	`associate-r_binary64`
151×	`+-commutative_binary64`
147×	`associate--l+_binary64`
114×	`associate--l-_binary64`
107×	`associate-+r-_binary64`
98×	`cancel-sign-sub_binary64`
84×	`mul0-rgt_binary64` `mul0-lft_binary64`
81×	`associate-+l+_binary64` `associate-+r+_binary64`
71×	`remove-double-neg_binary64`
50×	`sub0-neg_binary64`
47×	`distribute-neg-out_binary64`
39×	`distribute-lft-out--_binary64`
33×	`distribute-rgt-out--_binary64`
29×	`*-rgt-identity_binary64`
20×	`+-rgt-identity_binary64`
16×	`--rgt-identity_binary64`
14×	`distribute-rgt-out_binary64`
9×	`*-lft-identity_binary64`
5×	`distribute-lft-out_binary64`
2×	`mul-1-neg_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` `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` `+-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` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_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 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	43
1	76	43
2	234	43
3	618	43
4	1297	43
5	2378	43
6	3075	43
7	3074	43
8	3097	43
9	3120	43
10	3138	43
11	3138	43
12	3130	43
13	3153	43
14	3153	43
15	3243	43
16	3243	43
17	3735	43
18	3279	43
19	3279	43
20	3279	43
21	3279	43
22	3279	43
23	3064	43

prune4.0ms (0%)

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

5.9b

Counts

2 → 1

Compiler

Compiled 58 to 56 computations (3.4% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 18) y)
0.4b	(.f64 (.f64 j 27) k)
3.1b	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
5.2b	(.f64 (.f64 (*.f64 x 18) y) z)

rewrite203.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

3.3b

Rules

25×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
12×	`associate-r_binary64`
11×	`add-sqr-sqrt_binary64`
9×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
6×	`associate-l_binary64`
4×	`add-log-exp_binary64` `*-commutative_binary64`
2×	`sub-neg_binary64` `distribute-rgt-in_binary64` `cancel-sign-sub-inv_binary64` `distribute-lft-in_binary64` `associate-*r/_binary64`
1×	`unswap-sqr_binary64` `flip3--_binary64` `flip--_binary64`

Counts

4 → 81

Calls

4 calls:

14.0ms	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
7.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
5.0ms	(.f64 (.f64 x 18) y)
5.0ms	(.f64 (.f64 j 27) k)

Compiler

Compiled 2662 to 1616 computations (39.3% saved)

series187.0ms (1.4%)

Error

2.7b

Counts

4 → 48

Calls

4 calls:

101.0ms	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
34.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
19.0ms	(.f64 (.f64 j 27) k)
17.0ms	(.f64 (.f64 x 18) y)

Compiler

Compiled 2640 to 2460 computations (6.8% saved)

simplify108.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

409×	`associate-l_binary64`
400×	`unsub-neg_binary64`
293×	`associate-r_binary64`
261×	`neg-mul-1_binary64`
257×	`neg-sub0_binary64`
237×	`exp-prod_binary64`
183×	`cancel-sign-sub-inv_binary64`
171×	`associate-+l+_binary64`
164×	`associate-+r+_binary64`
151×	`*-commutative_binary64`
150×	`sqr-pow_binary64`
133×	`+-commutative_binary64`
123×	`distribute-rgt-in_binary64`
119×	`distribute-lft-in_binary64`
98×	`log-prod_binary64`
96×	`cube-prod_binary64`
94×	`swap-sqr_binary64`
79×	`distribute-lft-neg-out_binary64`
75×	`distribute-rgt-neg-out_binary64`
70×	`exp-sum_binary64`
67×	`distribute-rgt-neg-in_binary64`
63×	`associate-/l*_binary64`
58×	`*-lft-identity_binary64`
56×	`unswap-sqr_binary64` `distribute-lft-neg-in_binary64`
52×	`*-rgt-identity_binary64`
34×	`sub-neg_binary64`
23×	`pow-sqr_binary64`
20×	`unpow3_binary64`
19×	`rem-sqrt-square_binary64`
18×	`exp-diff_binary64` `cube-mult_binary64`
13×	`div-sub_binary64`
11×	`cube-unmult_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
10×	`difference-of-squares_binary64`
8×	`unpow1/2_binary64` `associate-+l-_binary64`
7×	`associate-+r-_binary64`
5×	`associate-/l/_binary64` `associate-*r/_binary64`
4×	`sqr-neg_binary64` `sub0-neg_binary64` `+-rgt-identity_binary64`
3×	`distribute-rgt-out--_binary64`
2×	`cube-neg_binary64` `distribute-rgt-out_binary64` `associate--r+_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `count-2_binary64` `associate-/r/_binary64` `associate-/r*_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_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` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `associate-l/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64`

Counts

129 → 91

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	174	1834
1	415	1684
2	1634	1684
3	2530	1684
4	4261	1684
5	5160	1684

prune108.0ms (0.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	81	10	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	10	92

Error

2.6b

Counts

92 → 10

Compiler

Compiled 2043 to 1269 computations (37.9% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 18) y)
0.3b	(.f64 27 (.f64 k j))
3.1b	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
5.2b	(.f64 (.f64 (*.f64 x 18) y) z)

rewrite231.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

2.6b

Rules

25×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
11×	`add-sqr-sqrt_binary64`
10×	`associate-r_binary64`
9×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
8×	`associate-l_binary64`
4×	`add-log-exp_binary64` `*-commutative_binary64`
2×	`sub-neg_binary64` `distribute-rgt-in_binary64` `cancel-sign-sub-inv_binary64` `distribute-lft-in_binary64` `associate-*r/_binary64`
1×	`unswap-sqr_binary64` `flip3--_binary64` `flip--_binary64`

Counts

4 → 81

Calls

4 calls:

10.0ms	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
7.0ms	(.f64 27 (.f64 k j))
7.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
5.0ms	(.f64 (.f64 x 18) y)

Compiler

Compiled 2773 to 1674 computations (39.6% saved)

series194.0ms (1.4%)

Error

2.6b

Counts

4 → 48

Calls

4 calls:

103.0ms	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
32.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
20.0ms	(.f64 (.f64 x 18) y)
19.0ms	(.f64 27 (.f64 k j))

Compiler

Compiled 2824 to 2637 computations (6.6% saved)

simplify105.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

400×	`unsub-neg_binary64`
370×	`associate-l_binary64`
286×	`associate-r_binary64`
261×	`neg-mul-1_binary64`
257×	`neg-sub0_binary64`
225×	`exp-prod_binary64`
183×	`cancel-sign-sub-inv_binary64`
151×	`associate-+l+_binary64`
148×	`associate-+r+_binary64`
146×	`sqr-pow_binary64`
144×	`*-commutative_binary64`
130×	`+-commutative_binary64`
123×	`distribute-rgt-in_binary64`
119×	`distribute-lft-in_binary64`
89×	`swap-sqr_binary64`
88×	`log-prod_binary64` `cube-prod_binary64`
79×	`distribute-lft-neg-out_binary64`
75×	`distribute-rgt-neg-out_binary64`
70×	`exp-sum_binary64`
67×	`distribute-rgt-neg-in_binary64`
58×	`associate-/l*_binary64`
56×	`distribute-lft-neg-in_binary64`
52×	`unswap-sqr_binary64`
51×	`*-lft-identity_binary64`
46×	`*-rgt-identity_binary64`
34×	`sub-neg_binary64`
21×	`unpow3_binary64`
20×	`pow-sqr_binary64`
19×	`cube-mult_binary64`
18×	`exp-diff_binary64`
15×	`rem-sqrt-square_binary64`
13×	`div-sub_binary64`
11×	`cube-unmult_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
10×	`difference-of-squares_binary64`
8×	`associate-+l-_binary64`
7×	`associate-/l/_binary64` `associate-*r/_binary64` `associate-+r-_binary64`
6×	`unpow1/2_binary64`
4×	`sqr-neg_binary64` `sub0-neg_binary64` `+-rgt-identity_binary64`
3×	`distribute-rgt-out--_binary64` `associate-/r/_binary64`
2×	`cube-neg_binary64` `distribute-rgt-out_binary64` `associate--r+_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `count-2_binary64` `associate-/r*_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_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` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `associate-l/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64`

Counts

129 → 84

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	170	1832
1	402	1682
2	1553	1682
3	2459	1682
4	4121	1682
5	5018	1682

prune118.0ms (0.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	9	9
Picked	1	0	1
Done	0	0	0
Total	84	10	94

Error

2.6b

Counts

94 → 10

Compiler

Compiled 1947 to 1215 computations (37.6% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

5.2b	(.f64 (.f64 (*.f64 x 18) y) z)
9.4b	(cbrt.f64 (.f64 27 (.f64 k j)))
9.4b	(cbrt.f64 (.f64 27 (.f64 k j)))
9.4b	(cbrt.f64 (.f64 27 (.f64 k j)))

rewrite145.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

2.6b

Rules

13×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
5×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64` `cbrt-prod_binary64` `associate-r_binary64`
1×	`associate-l_binary64` `*-commutative_binary64`

Counts

4 → 48

Calls

4 calls:

7.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
6.0ms	(cbrt.f64 (.f64 27 (.f64 k j)))
4.0ms	(cbrt.f64 (.f64 27 (.f64 k j)))
4.0ms	(cbrt.f64 (.f64 27 (.f64 k j)))

Compiler

Compiled 2263 to 1325 computations (41.4% saved)

series207.0ms (1.5%)

Error

2.6b

Counts

4 → 27

Calls

4 calls:

48.0ms	(cbrt.f64 (.f64 27 (.f64 k j)))
47.0ms	(cbrt.f64 (.f64 27 (.f64 k j)))
47.0ms	(cbrt.f64 (.f64 27 (.f64 k j)))
37.0ms	(.f64 (.f64 (*.f64 x 18) y) z)

Compiler

Compiled 3374 to 2737 computations (18.9% saved)

simplify93.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

728×	`exp-sum_binary64`
668×	`div-sub_binary64`
408×	`*-commutative_binary64`
294×	`distribute-rgt-in_binary64`
253×	`distribute-lft-in_binary64`
215×	`exp-diff_binary64`
206×	`sqr-pow_binary64`
187×	`associate-l_binary64`
179×	`exp-prod_binary64`
138×	`associate-/l*_binary64`
129×	`unswap-sqr_binary64`
128×	`associate-+r+_binary64`
122×	`sub-neg_binary64`
121×	`associate-r_binary64`
106×	`log-prod_binary64`
99×	`associate-+l+_binary64`
91×	`unsub-neg_binary64` `distribute-neg-in_binary64`
78×	`associate--r+_binary64`
72×	`associate--r-_binary64`
69×	`associate-/l/_binary64`
66×	`associate-+r-_binary64`
61×	`cancel-sign-sub-inv_binary64`
59×	`swap-sqr_binary64`
55×	`associate-/r*_binary64`
54×	`cube-prod_binary64`
51×	`pow-sqr_binary64`
48×	`associate-/r/_binary64`
42×	`+-commutative_binary64`
41×	`neg-mul-1_binary64` `distribute-neg-out_binary64`
38×	`log-div_binary64`
37×	`neg-sub0_binary64`
36×	`exp-to-pow_binary64` `rem-sqrt-square_binary64`
33×	`associate--l-_binary64`
31×	`associate-+l-_binary64`
28×	`associate--l+_binary64`
27×	`exp-neg_binary64`
22×	`distribute-lft-neg-out_binary64`
20×	`distribute-frac-neg_binary64` `distribute-rgt-neg-out_binary64`
18×	`distribute-rgt-neg-in_binary64`
15×	`distribute-lft-neg-in_binary64`
13×	`unpow1/3_binary64` `*-lft-identity_binary64`
11×	`*-rgt-identity_binary64`
10×	`times-frac_binary64` `--rgt-identity_binary64`
9×	`unpow3_binary64` `cube-mult_binary64`
8×	`log-pow_binary64` `rem-exp-log_binary64` `distribute-lft-out_binary64`
7×	`unpow1/2_binary64` `cube-unmult_binary64`
6×	`sub0-neg_binary64` `distribute-rgt-out_binary64`
5×	`distribute-rgt-out--_binary64`
4×	`log-rec_binary64` `distribute-lft-out--_binary64`
3×	`remove-double-neg_binary64` `associate-*r/_binary64`
2×	`+-rgt-identity_binary64`
1×	`log-E_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-log-exp_binary64` `rem-3cbrt-lft_binary64` `mul-1-neg_binary64` `+-lft-identity_binary64` `distribute-rgt1-in_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` `pow-base-0_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` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_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` `/-rgt-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_binary64` `distribute-neg-frac_binary64` `associate-l/_binary64`

Counts

75 → 54

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	108	1009
1	235	937
2	770	895
3	1308	811
4	2327	811
5	4132	811
6	5140	811

prune332.0ms (2.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	54	10	64

Error

2.6b

Counts

64 → 10

Compiler

Compiled 1962 to 1232 computations (37.2% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 18 (.f64 x y))
0.4b	(.f64 (.f64 j 27) k)
3.1b	(.f64 t (-.f64 (.f64 (pow.f64 (.f64 18 (.f64 x y)) 1) z) (*.f64 a 4)))
5.2b	(.f64 (pow.f64 (.f64 18 (*.f64 x y)) 1) z)

rewrite253.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

2.6b

Rules

28×	`add-exp-log_binary64`
18×	`add-cbrt-cube_binary64`
17×	`pow1_binary64`
15×	`prod-exp_binary64` `add-sqr-sqrt_binary64`
12×	`associate-l_binary64`
10×	`add-cube-cbrt_binary64` `-un-lft-identity_binary64` `associate-r*_binary64`
8×	`pow-prod-down_binary64` `cbrt-unprod_binary64`
4×	`add-log-exp_binary64` `*-commutative_binary64`
3×	`pow-exp_binary64` `unswap-sqr_binary64`
2×	`sqr-pow_binary64` `sub-neg_binary64` `distribute-rgt-in_binary64` `cancel-sign-sub-inv_binary64` `distribute-lft-in_binary64` `associate-*r/_binary64`
1×	`pow-to-exp_binary64` `unpow-prod-down_binary64` `flip3--_binary64` `flip--_binary64`

Counts

4 → 85

Calls

4 calls:

8.0ms	(.f64 t (-.f64 (.f64 (pow.f64 (.f64 18 (.f64 x y)) 1) z) (*.f64 a 4)))
6.0ms	(.f64 (pow.f64 (.f64 18 (*.f64 x y)) 1) z)
5.0ms	(.f64 18 (.f64 x y))
5.0ms	(.f64 (.f64 j 27) k)

Compiler

Compiled 3016 to 1826 computations (39.5% saved)

series182.0ms (1.3%)

Error

2.6b

Counts

4 → 48

Calls

4 calls:

99.0ms	(.f64 t (-.f64 (.f64 (pow.f64 (.f64 18 (.f64 x y)) 1) z) (*.f64 a 4)))
34.0ms	(.f64 (pow.f64 (.f64 18 (*.f64 x y)) 1) z)
20.0ms	(.f64 18 (.f64 x y))
18.0ms	(.f64 (.f64 j 27) k)

Compiler

Compiled 2692 to 2511 computations (6.7% saved)

simplify115.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

345×	`associate-l_binary64`
283×	`associate-r_binary64`
259×	`exp-prod_binary64`
258×	`neg-mul-1_binary64`
207×	`associate-+l+_binary64`
193×	`associate-+r+_binary64`
166×	`cancel-sign-sub-inv_binary64`
159×	`*-commutative_binary64`
158×	`sqr-pow_binary64`
153×	`unswap-sqr_binary64`
151×	`+-commutative_binary64`
137×	`distribute-rgt-in_binary64`
133×	`distribute-lft-in_binary64`
130×	`log-prod_binary64`
120×	`cube-prod_binary64`
99×	`swap-sqr_binary64`
79×	`distribute-lft-neg-out_binary64`
75×	`distribute-rgt-neg-out_binary64`
68×	`exp-sum_binary64`
67×	`distribute-rgt-neg-in_binary64`
66×	`associate-/l*_binary64`
61×	`*-lft-identity_binary64`
60×	`*-rgt-identity_binary64`
56×	`distribute-lft-neg-in_binary64`
45×	`unsub-neg_binary64`
43×	`neg-sub0_binary64`
36×	`unpow3_binary64`
34×	`sub-neg_binary64`
27×	`cube-mult_binary64`
25×	`rem-sqrt-square_binary64`
23×	`pow-sqr_binary64`
18×	`exp-diff_binary64` `cube-unmult_binary64`
13×	`div-sub_binary64`
11×	`mul0-rgt_binary64` `mul0-lft_binary64`
10×	`log-pow_binary64` `pow-plus_binary64` `difference-of-squares_binary64`
8×	`unpow1/2_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
7×	`associate-/l/_binary64` `associate-*r/_binary64`
5×	`count-2_binary64`
4×	`sqr-neg_binary64` `sub0-neg_binary64` `+-rgt-identity_binary64` `distribute-rgt-out_binary64`
3×	`times-frac_binary64` `distribute-rgt-out--_binary64` `associate-/r/_binary64`
2×	`unpow1_binary64` `cube-neg_binary64` `distribute-lft-out_binary64` `associate-/r*_binary64` `associate--r+_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate-l/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64`

Counts

133 → 88

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	189	1903
1	412	1762
2	1523	1762
3	2634	1762
4	4613	1762
5	5016	1762

prune108.0ms (0.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	87	11	98

Error

2.6b

Counts

98 → 11

Compiler

Compiled 1743 to 991 computations (43.1% saved)

regimes3.8s (27.9%)

Accuracy

Total 1.4b remaining (40.1%)

Threshold costs 0b (0%)

Compiler

Compiled 61634 to 58002 computations (5.9% saved)

bsearch7.0ms (0%)

Compiler: Compiled 31 to 29 computations (6.5% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

42×	`*-commutative_binary64`
31×	`+-commutative_binary64`
25×	`sub-neg_binary64`
20×	`distribute-rgt-neg-in_binary64`
18×	`neg-mul-1_binary64` `neg-sub0_binary64`
16×	`distribute-lft-neg-in_binary64`
10×	`cancel-sign-sub-inv_binary64`
4×	`unsub-neg_binary64` `distribute-neg-in_binary64` `distribute-lft-neg-out_binary64`
2×	`unpow1_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` `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_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	219
1	119	219
2	174	219
3	220	219
4	255	219
5	266	219
6	268	219
7	265	219

end77.0ms (0.6%)

Remove

(sort b c)

(sort y z)

Compiler

Compiled 1323 to 882 computations (33.3% saved)

sample3.3s (24.8%)

Algorithm

1×

intervals

Results

668.0ms	8000×	body	128	valid
661.0ms	7951×	body	128	invalid

Compiler

Compiled 671 to 579 computations (13.7% saved)

Details

analyze2.9s (21.8%)

sample122.0ms (0.9%)

simplify431.0ms (3.2%)

prune4.0ms (0%)

localize21.0ms (0.2%)

rewrite203.0ms (1.5%)

series187.0ms (1.4%)

simplify108.0ms (0.8%)

prune108.0ms (0.8%)

localize23.0ms (0.2%)

rewrite231.0ms (1.7%)

series194.0ms (1.4%)

simplify105.0ms (0.8%)

prune118.0ms (0.9%)

localize26.0ms (0.2%)

rewrite145.0ms (1.1%)

series207.0ms (1.5%)

simplify93.0ms (0.7%)

prune332.0ms (2.5%)

localize26.0ms (0.2%)

rewrite253.0ms (1.9%)

series182.0ms (1.3%)

simplify115.0ms (0.9%)

prune108.0ms (0.8%)

regimes3.8s (27.9%)

bsearch7.0ms (0%)

simplify12.0ms (0.1%)

end77.0ms (0.6%)

sample3.3s (24.8%)

Profiling