Details

analyze104.0ms (3.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	62.4%	12.6%	6
25%	46.8%	28.2%	7
31.2%	35.9%	32.9%	8
39%	25%	36%	9
42.9%	18.7%	38.3%	10
47.2%	12.9%	39.9%	11
49.4%	9.6%	41.1%	12
51.6%	6.5%	41.9%	13
52.7%	4.8%	42.4%	14

Compiler

Compiled 14 to 10 computations (28.6% saved)

sample17.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 27 to 21 computations (22.2% saved)

simplify158.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary64_15354`
6×	`+-commutative_binary64_15353`
3×	`associate-l_binary64_15364` `associate-r_binary64_15363` `associate-+l+_binary64_15356` `associate-+r+_binary64_15355`
2×	`distribute-rgt-out_binary64_15376` `distribute-lft-out_binary64_15374`
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_15686` `erf-erfc_binary64_15685` `erf-odd_binary64_15684` `if-if-and-not_binary64_15683` `if-if-and_binary64_15682` `if-if-or-not_binary64_15681` `if-if-or_binary64_15680` `if-not_binary64_15679` `if-same_binary64_15678` `if-false_binary64_15677` `if-true_binary64_15676` `not-gte_binary64_15675` `not-lte_binary64_15674` `not-gt_binary64_15673` `not-lt_binary64_15672` `gte-same_binary64_15671` `lte-same_binary64_15670` `gt-same_binary64_15669` `lt-same_binary64_15668` `sinh---cosh_binary64_15615` `sinh-+-cosh_binary64_15614` `sinh-cosh_binary64_15613` `tanh-def-c_binary64_15612` `tanh-def-b_binary64_15611` `tanh-def-a_binary64_15610` `cosh-def_binary64_15609` `sinh-def_binary64_15608` `tan-neg_binary64_15555` `cos-neg_binary64_15554` `sin-neg_binary64_15553` `tan-0_binary64_15552` `cos-0_binary64_15551` `sin-0_binary64_15550` `hang-m-tan_binary64_15549` `hang-p-tan_binary64_15548` `hang-m0-tan_binary64_15547` `hang-p0-tan_binary64_15546` `hang-0m-tan_binary64_15545` `hang-0p-tan_binary64_15544` `tan-+PI/2_binary64_15543` `tan-+PI_binary64_15542` `tan-PI_binary64_15541` `tan-PI/3_binary64_15540` `tan-PI/4_binary64_15539` `tan-PI/6_binary64_15538` `cos-+PI/2_binary64_15537` `cos-+PI_binary64_15536` `cos-PI_binary64_15535` `cos-PI/2_binary64_15534` `cos-PI/3_binary64_15533` `cos-PI/4_binary64_15532` `cos-PI/6_binary64_15531` `sin-+PI/2_binary64_15530` `sin-+PI_binary64_15529` `sin-PI_binary64_15528` `sin-PI/2_binary64_15527` `sin-PI/3_binary64_15526` `sin-PI/4_binary64_15525` `sin-PI/6_binary64_15524` `sub-1-sin_binary64_15523` `sub-1-cos_binary64_15522` `-1-add-sin_binary64_15521` `-1-add-cos_binary64_15520` `1-sub-sin_binary64_15519` `1-sub-cos_binary64_15518` `cos-sin-sum_binary64_15517` `log-E_binary64_15513` `log-pow_binary64_15512` `log-rec_binary64_15511` `log-div_binary64_15510` `log-prod_binary64_15509` `pow-base-0_binary64_15507` `unpow1/3_binary64_15490` `unpow3_binary64_15489` `unpow2_binary64_15488` `unpow1/2_binary64_15487` `pow-plus_binary64_15486` `exp-to-pow_binary64_15485` `pow-base-1_binary64_15483` `unpow0_binary64_15482` `unpow1_binary64_15481` `unpow-1_binary64_15480` `exp-lft-cube_binary64_15479` `exp-lft-sqr_binary64_15478` `exp-cbrt_binary64_15477` `exp-sqrt_binary64_15476` `exp-prod_binary64_15475` `div-exp_binary64_15474` `rec-exp_binary64_15473` `prod-exp_binary64_15472` `exp-diff_binary64_15471` `exp-neg_binary64_15470` `exp-sum_binary64_15469` `e-exp-1_binary64_15468` `1-exp_binary64_15467` `exp-1-e_binary64_15466` `exp-0_binary64_15465` `rem-log-exp_binary64_15464` `rem-exp-log_binary64_15463` `cube-unmult_binary64_15460` `cube-mult_binary64_15453` `cube-div_binary64_15452` `cube-prod_binary64_15451` `cube-neg_binary64_15450` `rem-3cbrt-rft_binary64_15449` `rem-3cbrt-lft_binary64_15448` `rem-cbrt-cube_binary64_15447` `rem-cube-cbrt_binary64_15446` `sqr-abs_binary64_15438` `sqr-neg_binary64_15437` `rem-sqrt-square_binary64_15436` `rem-square-sqrt_binary64_15435` `times-frac_binary64_15429` `div-sub_binary64_15428` `neg-mul-1_binary64_15419` `neg-sub0_binary64_15418` `unsub-neg_binary64_15417` `sub-neg_binary64_15416` `mul-1-neg_binary64_15415` `/-rgt-identity_binary64_15414` `-rgt-identity_binary64_15413` `-lft-identity_binary64_15412` `remove-double-neg_binary64_15411` `sub0-neg_binary64_15410` `--rgt-identity_binary64_15409` `+-rgt-identity_binary64_15408` `+-lft-identity_binary64_15407` `mul0-rgt_binary64_15406` `mul0-lft_binary64_15405` `div0_binary64_15404` `-inverses_binary64_15403` `+-inverses_binary64_15402` `lft-mult-inverse_binary64_15401` `rgt-mult-inverse_binary64_15400` `remove-double-div_binary64_15399` `pow-sqr_binary64_15396` `sqr-pow_binary64_15395` `difference-of-sqr--1_binary64_15394` `difference-of-sqr-1_binary64_15393` `difference-of-squares_binary64_15392` `unswap-sqr_binary64_15391` `swap-sqr_binary64_15390` `cancel-sign-sub-inv_binary64_15389` `cancel-sign-sub_binary64_15388` `distribute-neg-frac_binary64_15387` `distribute-frac-neg_binary64_15386` `distribute-neg-out_binary64_15385` `distribute-neg-in_binary64_15384` `distribute-rgt-neg-out_binary64_15383` `distribute-lft-neg-out_binary64_15382` `distribute-rgt-neg-in_binary64_15381` `distribute-lft-neg-in_binary64_15380` `distribute-rgt1-in_binary64_15379` `distribute-lft1-in_binary64_15378` `distribute-rgt-out--_binary64_15377` `distribute-lft-out--_binary64_15375` `distribute-rgt-in_binary64_15373` `distribute-lft-in_binary64_15372` `count-2_binary64_15371` `associate-/l/_binary64_15370` `associate-/r/_binary64_15369` `associate-/l_binary64_15368` `associate-/r_binary64_15367` `associate-l/_binary64_15366` `associate-*r/_binary64_15365` `associate--r-_binary64_15362` `associate--l-_binary64_15361` `associate--l+_binary64_15360` `associate--r+_binary64_15359` `associate-+l-_binary64_15358` `associate-+r-_binary64_15357`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	18	16
2	36	16
3	38	16

prune7.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Error

0.0b

Counts

3 → 2

Compiler

Compiled 48 to 31 computations (35.4% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 y (+.f64 (*.f64 x 2) y)))
0.0b	(.f64 y (+.f64 (.f64 x 2) y))

rewrite50.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-sqr-sqrt_binary64_15445`
4×	`pow1_binary64_15484` `add-exp-log_binary64_15461` `add-log-exp_binary64_15462` `add-cbrt-cube_binary64_15459` `add-cube-cbrt_binary64_15458` `*-un-lft-identity_binary64_15423`
3×	`associate-l_binary64_15364` `associate-r_binary64_15363`
2×	`distribute-rgt-in_binary64_15373` `distribute-lft-in_binary64_15372` `flip3-+_binary64_15426` `associate-*r/_binary64_15365` `flip-+_binary64_15397` `associate-+r+_binary64_15355`
1×	`pow-prod-down_binary64_15494` `prod-exp_binary64_15472` `cbrt-unprod_binary64_15456` `unswap-sqr_binary64_15391` `*-commutative_binary64_15354` `sum-log_binary64_15514` `+-commutative_binary64_15353`

Counts

2 → 35

Calls

2 calls:

12.0ms	(.f64 y (+.f64 (.f64 x 2) y))
4.0ms	(+.f64 (.f64 x x) (.f64 y (+.f64 (*.f64 x 2) y)))

Compiler

Compiled 694 to 368 computations (47% saved)

series432.0ms (15.5%)

Error

0.0b

Counts

2 → 30

Calls

2 calls:

253.0ms	(+.f64 (.f64 x x) (.f64 y (+.f64 (*.f64 x 2) y)))
158.0ms	(.f64 y (+.f64 (.f64 x 2) y))

Compiler

Compiled 708 to 511 computations (27.8% saved)

simplify238.0ms (8.6%)

Algorithm

1×	egg-herbie

Rules

901×	`associate-*l/_binary64_15366`
474×	`distribute-rgt-in_binary64_15373`
454×	`distribute-lft-in_binary64_15372`
226×	`unswap-sqr_binary64_15391`
221×	`cancel-sign-sub-inv_binary64_15389`
207×	`times-frac_binary64_15429`
178×	`*-commutative_binary64_15354`
141×	`distribute-neg-in_binary64_15384`
131×	`distribute-rgt-neg-in_binary64_15381`
122×	`associate-+r+_binary64_15355`
121×	`associate-+l+_binary64_15356`
117×	`associate-l_binary64_15364`
111×	`distribute-rgt-out_binary64_15376`
109×	`distribute-lft-neg-in_binary64_15380`
107×	`associate-r_binary64_15363`
96×	`associate-/l*_binary64_15368`
94×	`sqr-pow_binary64_15395`
86×	`sub-neg_binary64_15416`
81×	`associate-/r*_binary64_15367`
68×	`associate-/r/_binary64_15369`
53×	`exp-prod_binary64_15475`
52×	`pow-sqr_binary64_15396`
50×	`unsub-neg_binary64_15417`
46×	`distribute-lft-neg-out_binary64_15382` `associate--r+_binary64_15359`
44×	`neg-mul-1_binary64_15419` `neg-sub0_binary64_15418`
34×	`distribute-rgt-neg-out_binary64_15383` `distribute-rgt-out--_binary64_15377`
33×	`associate-*r/_binary64_15365`
32×	`*-rgt-identity_binary64_15413`
31×	`associate--l+_binary64_15360`
28×	`*-lft-identity_binary64_15412`
25×	`pow-plus_binary64_15486` `distribute-neg-frac_binary64_15387` `+-commutative_binary64_15353`
22×	`cube-prod_binary64_15451` `swap-sqr_binary64_15390`
18×	`associate-/l/_binary64_15370`
16×	`log-prod_binary64_15509`
15×	`exp-sqrt_binary64_15476`
12×	`exp-sum_binary64_15469`
11×	`difference-of-squares_binary64_15392`
10×	`unpow3_binary64_15489` `cube-div_binary64_15452`
9×	`distribute-lft-out_binary64_15374` `associate-+r-_binary64_15357`
8×	`+-rgt-identity_binary64_15408`
7×	`log-div_binary64_15510` `associate-+l-_binary64_15358`
6×	`cube-mult_binary64_15453`
5×	`sub0-neg_binary64_15410`
4×	`exp-lft-sqr_binary64_15478`
3×	`log-pow_binary64_15512` `prod-exp_binary64_15472` `cube-unmult_binary64_15460` `distribute-rgt1-in_binary64_15379`
2×	`unpow2_binary64_15488` `pow-base-1_binary64_15483` `unpow1_binary64_15481` `count-2_binary64_15371`
1×	`exp-diff_binary64_15471` `1-exp_binary64_15467` `exp-1-e_binary64_15466` `rem-log-exp_binary64_15464` `rem-sqrt-square_binary64_15436` `*-inverses_binary64_15403` `cancel-sign-sub_binary64_15388` `distribute-lft-out--_binary64_15375`
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_15686` `erf-erfc_binary64_15685` `erf-odd_binary64_15684` `if-if-and-not_binary64_15683` `if-if-and_binary64_15682` `if-if-or-not_binary64_15681` `if-if-or_binary64_15680` `if-not_binary64_15679` `if-same_binary64_15678` `if-false_binary64_15677` `if-true_binary64_15676` `not-gte_binary64_15675` `not-lte_binary64_15674` `not-gt_binary64_15673` `not-lt_binary64_15672` `gte-same_binary64_15671` `lte-same_binary64_15670` `gt-same_binary64_15669` `lt-same_binary64_15668` `sinh---cosh_binary64_15615` `sinh-+-cosh_binary64_15614` `sinh-cosh_binary64_15613` `tanh-def-c_binary64_15612` `tanh-def-b_binary64_15611` `tanh-def-a_binary64_15610` `cosh-def_binary64_15609` `sinh-def_binary64_15608` `tan-neg_binary64_15555` `cos-neg_binary64_15554` `sin-neg_binary64_15553` `tan-0_binary64_15552` `cos-0_binary64_15551` `sin-0_binary64_15550` `hang-m-tan_binary64_15549` `hang-p-tan_binary64_15548` `hang-m0-tan_binary64_15547` `hang-p0-tan_binary64_15546` `hang-0m-tan_binary64_15545` `hang-0p-tan_binary64_15544` `tan-+PI/2_binary64_15543` `tan-+PI_binary64_15542` `tan-PI_binary64_15541` `tan-PI/3_binary64_15540` `tan-PI/4_binary64_15539` `tan-PI/6_binary64_15538` `cos-+PI/2_binary64_15537` `cos-+PI_binary64_15536` `cos-PI_binary64_15535` `cos-PI/2_binary64_15534` `cos-PI/3_binary64_15533` `cos-PI/4_binary64_15532` `cos-PI/6_binary64_15531` `sin-+PI/2_binary64_15530` `sin-+PI_binary64_15529` `sin-PI_binary64_15528` `sin-PI/2_binary64_15527` `sin-PI/3_binary64_15526` `sin-PI/4_binary64_15525` `sin-PI/6_binary64_15524` `sub-1-sin_binary64_15523` `sub-1-cos_binary64_15522` `-1-add-sin_binary64_15521` `-1-add-cos_binary64_15520` `1-sub-sin_binary64_15519` `1-sub-cos_binary64_15518` `cos-sin-sum_binary64_15517` `log-E_binary64_15513` `log-rec_binary64_15511` `pow-base-0_binary64_15507` `unpow1/3_binary64_15490` `unpow1/2_binary64_15487` `exp-to-pow_binary64_15485` `unpow0_binary64_15482` `unpow-1_binary64_15480` `exp-lft-cube_binary64_15479` `exp-cbrt_binary64_15477` `div-exp_binary64_15474` `rec-exp_binary64_15473` `exp-neg_binary64_15470` `e-exp-1_binary64_15468` `exp-0_binary64_15465` `rem-exp-log_binary64_15463` `cube-neg_binary64_15450` `rem-3cbrt-rft_binary64_15449` `rem-3cbrt-lft_binary64_15448` `rem-cbrt-cube_binary64_15447` `rem-cube-cbrt_binary64_15446` `sqr-abs_binary64_15438` `sqr-neg_binary64_15437` `rem-square-sqrt_binary64_15435` `div-sub_binary64_15428` `mul-1-neg_binary64_15415` `/-rgt-identity_binary64_15414` `remove-double-neg_binary64_15411` `--rgt-identity_binary64_15409` `+-lft-identity_binary64_15407` `mul0-rgt_binary64_15406` `mul0-lft_binary64_15405` `div0_binary64_15404` `+-inverses_binary64_15402` `lft-mult-inverse_binary64_15401` `rgt-mult-inverse_binary64_15400` `remove-double-div_binary64_15399` `difference-of-sqr--1_binary64_15394` `difference-of-sqr-1_binary64_15393` `distribute-frac-neg_binary64_15386` `distribute-neg-out_binary64_15385` `distribute-lft1-in_binary64_15378` `associate--r-_binary64_15362` `associate--l-_binary64_15361`

Counts

65 → 123

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	74	925
1	226	853
2	891	853
3	2903	853

prune136.0ms (4.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	123	2	125

Error

Counts

125 → 2

Compiler

Compiled 2454 to 1257 computations (48.8% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 x (+.f64 x (.f64 2 y)))
0.0b	(+.f64 (.f64 y y) (.f64 x (+.f64 x (*.f64 2 y))))

rewrite47.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`add-sqr-sqrt_binary64_15445`
4×	`add-log-exp_binary64_15462` `pow1_binary64_15484` `add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459` `add-cube-cbrt_binary64_15458` `*-un-lft-identity_binary64_15423`
3×	`associate-l_binary64_15364` `associate-r_binary64_15363`
2×	`flip3-+_binary64_15426` `flip-+_binary64_15397` `distribute-rgt-in_binary64_15373` `associate-+r+_binary64_15355` `distribute-lft-in_binary64_15372` `associate-*r/_binary64_15365`
1×	`sum-log_binary64_15514` `+-commutative_binary64_15353` `pow-prod-down_binary64_15494` `prod-exp_binary64_15472` `cbrt-unprod_binary64_15456` `unswap-sqr_binary64_15391` `*-commutative_binary64_15354`

Counts

2 → 35

Calls

2 calls:

6.0ms	(.f64 x (+.f64 x (.f64 2 y)))
5.0ms	(+.f64 (.f64 y y) (.f64 x (+.f64 x (*.f64 2 y))))

Compiler

Compiled 694 to 367 computations (47.1% saved)

series431.0ms (15.5%)

Error

Counts

2 → 30

Calls

2 calls:

254.0ms	(+.f64 (.f64 y y) (.f64 x (+.f64 x (*.f64 2 y))))
156.0ms	(.f64 x (+.f64 x (.f64 2 y)))

Compiler

Compiled 708 to 511 computations (27.8% saved)

simplify236.0ms (8.5%)

Algorithm

1×	egg-herbie

Rules

552×	`distribute-rgt-in_binary64_15373`
531×	`distribute-lft-in_binary64_15372`
226×	`unswap-sqr_binary64_15391` `associate--r+_binary64_15359`
221×	`associate--l+_binary64_15360`
219×	`cancel-sign-sub-inv_binary64_15389`
209×	`times-frac_binary64_15429`
171×	`*-commutative_binary64_15354`
146×	`associate-+l+_binary64_15356`
141×	`distribute-rgt-neg-in_binary64_15381`
137×	`distribute-neg-in_binary64_15384`
119×	`distribute-lft-neg-in_binary64_15380`
118×	`associate-l_binary64_15364`
109×	`associate-+r+_binary64_15355`
107×	`distribute-rgt-out_binary64_15376` `associate-r_binary64_15363`
102×	`associate-/l*_binary64_15368`
94×	`sqr-pow_binary64_15395`
88×	`sub-neg_binary64_15416`
79×	`associate-/r*_binary64_15367`
67×	`associate-/r/_binary64_15369`
53×	`exp-prod_binary64_15475`
52×	`pow-sqr_binary64_15396`
51×	`distribute-lft-neg-out_binary64_15382`
47×	`neg-mul-1_binary64_15419` `neg-sub0_binary64_15418`
45×	`unsub-neg_binary64_15417`
38×	`distribute-rgt-neg-out_binary64_15383`
34×	`associate-*l/_binary64_15366` `associate--l-_binary64_15361`
33×	`distribute-rgt-out--_binary64_15377`
31×	`*-rgt-identity_binary64_15413`
30×	`associate-*r/_binary64_15365`
28×	`*-lft-identity_binary64_15412`
25×	`pow-plus_binary64_15486` `+-commutative_binary64_15353`
24×	`swap-sqr_binary64_15390` `distribute-neg-frac_binary64_15387`
22×	`cube-prod_binary64_15451`
19×	`associate-/l/_binary64_15370`
16×	`log-prod_binary64_15509` `exp-sqrt_binary64_15476`
12×	`exp-sum_binary64_15469`
11×	`difference-of-squares_binary64_15392`
10×	`unpow3_binary64_15489` `cube-div_binary64_15452`
8×	`associate-+r-_binary64_15357`
7×	`log-div_binary64_15510` `+-rgt-identity_binary64_15408` `distribute-lft-out_binary64_15374`
6×	`cube-mult_binary64_15453` `associate-+l-_binary64_15358`
4×	`exp-lft-sqr_binary64_15478` `sub0-neg_binary64_15410` `associate--r-_binary64_15362`
3×	`log-pow_binary64_15512` `prod-exp_binary64_15472` `cube-unmult_binary64_15460` `distribute-rgt1-in_binary64_15379`
2×	`unpow2_binary64_15488` `pow-base-1_binary64_15483` `unpow1_binary64_15481` `count-2_binary64_15371`
1×	`exp-diff_binary64_15471` `1-exp_binary64_15467` `exp-1-e_binary64_15466` `rem-log-exp_binary64_15464` `rem-sqrt-square_binary64_15436` `div-sub_binary64_15428` `*-inverses_binary64_15403` `distribute-lft-out--_binary64_15375`
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_15686` `erf-erfc_binary64_15685` `erf-odd_binary64_15684` `if-if-and-not_binary64_15683` `if-if-and_binary64_15682` `if-if-or-not_binary64_15681` `if-if-or_binary64_15680` `if-not_binary64_15679` `if-same_binary64_15678` `if-false_binary64_15677` `if-true_binary64_15676` `not-gte_binary64_15675` `not-lte_binary64_15674` `not-gt_binary64_15673` `not-lt_binary64_15672` `gte-same_binary64_15671` `lte-same_binary64_15670` `gt-same_binary64_15669` `lt-same_binary64_15668` `sinh---cosh_binary64_15615` `sinh-+-cosh_binary64_15614` `sinh-cosh_binary64_15613` `tanh-def-c_binary64_15612` `tanh-def-b_binary64_15611` `tanh-def-a_binary64_15610` `cosh-def_binary64_15609` `sinh-def_binary64_15608` `tan-neg_binary64_15555` `cos-neg_binary64_15554` `sin-neg_binary64_15553` `tan-0_binary64_15552` `cos-0_binary64_15551` `sin-0_binary64_15550` `hang-m-tan_binary64_15549` `hang-p-tan_binary64_15548` `hang-m0-tan_binary64_15547` `hang-p0-tan_binary64_15546` `hang-0m-tan_binary64_15545` `hang-0p-tan_binary64_15544` `tan-+PI/2_binary64_15543` `tan-+PI_binary64_15542` `tan-PI_binary64_15541` `tan-PI/3_binary64_15540` `tan-PI/4_binary64_15539` `tan-PI/6_binary64_15538` `cos-+PI/2_binary64_15537` `cos-+PI_binary64_15536` `cos-PI_binary64_15535` `cos-PI/2_binary64_15534` `cos-PI/3_binary64_15533` `cos-PI/4_binary64_15532` `cos-PI/6_binary64_15531` `sin-+PI/2_binary64_15530` `sin-+PI_binary64_15529` `sin-PI_binary64_15528` `sin-PI/2_binary64_15527` `sin-PI/3_binary64_15526` `sin-PI/4_binary64_15525` `sin-PI/6_binary64_15524` `sub-1-sin_binary64_15523` `sub-1-cos_binary64_15522` `-1-add-sin_binary64_15521` `-1-add-cos_binary64_15520` `1-sub-sin_binary64_15519` `1-sub-cos_binary64_15518` `cos-sin-sum_binary64_15517` `log-E_binary64_15513` `log-rec_binary64_15511` `pow-base-0_binary64_15507` `unpow1/3_binary64_15490` `unpow1/2_binary64_15487` `exp-to-pow_binary64_15485` `unpow0_binary64_15482` `unpow-1_binary64_15480` `exp-lft-cube_binary64_15479` `exp-cbrt_binary64_15477` `div-exp_binary64_15474` `rec-exp_binary64_15473` `exp-neg_binary64_15470` `e-exp-1_binary64_15468` `exp-0_binary64_15465` `rem-exp-log_binary64_15463` `cube-neg_binary64_15450` `rem-3cbrt-rft_binary64_15449` `rem-3cbrt-lft_binary64_15448` `rem-cbrt-cube_binary64_15447` `rem-cube-cbrt_binary64_15446` `sqr-abs_binary64_15438` `sqr-neg_binary64_15437` `rem-square-sqrt_binary64_15435` `mul-1-neg_binary64_15415` `/-rgt-identity_binary64_15414` `remove-double-neg_binary64_15411` `--rgt-identity_binary64_15409` `+-lft-identity_binary64_15407` `mul0-rgt_binary64_15406` `mul0-lft_binary64_15405` `div0_binary64_15404` `+-inverses_binary64_15402` `lft-mult-inverse_binary64_15401` `rgt-mult-inverse_binary64_15400` `remove-double-div_binary64_15399` `difference-of-sqr--1_binary64_15394` `difference-of-sqr-1_binary64_15393` `cancel-sign-sub_binary64_15388` `distribute-frac-neg_binary64_15386` `distribute-neg-out_binary64_15385` `distribute-lft1-in_binary64_15378`

Counts

65 → 120

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	73	901
1	230	853
2	940	853
3	3153	853

prune121.0ms (4.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	120	2	122

Error

Counts

122 → 2

Compiler

Compiled 2359 to 1212 computations (48.6% saved)

regimes81.0ms (2.9%)

Accuracy

Total 0.0b remaining (62.3%)

Threshold costs 0.0b (62.3%)

Compiler

Compiled 429 to 350 computations (18.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2× *-commutative_binary64_15354 +-commutative_binary64_15353

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_15683 if-if-and_binary64_15682 if-if-or-not_binary64_15681 if-if-or_binary64_15680 if-not_binary64_15679 if-same_binary64_15678 if-false_binary64_15677 if-true_binary64_15676 tan-0_binary64_15552 cos-0_binary64_15551 sin-0_binary64_15550 unpow1_binary64_15481 e-exp-1_binary64_15468 1-exp_binary64_15467 exp-1-e_binary64_15466 exp-0_binary64_15465 sqr-abs_binary64_15438 sqr-neg_binary64_15437 neg-mul-1_binary64_15419 neg-sub0_binary64_15418 unsub-neg_binary64_15417 sub-neg_binary64_15416 mul-1-neg_binary64_15415 /-rgt-identity_binary64_15414 *-rgt-identity_binary64_15413 *-lft-identity_binary64_15412 remove-double-neg_binary64_15411 sub0-neg_binary64_15410 --rgt-identity_binary64_15409 +-rgt-identity_binary64_15408 +-lft-identity_binary64_15407 cancel-sign-sub-inv_binary64_15389 cancel-sign-sub_binary64_15388 distribute-neg-frac_binary64_15387 distribute-frac-neg_binary64_15386 distribute-neg-out_binary64_15385 distribute-neg-in_binary64_15384 distribute-rgt-neg-out_binary64_15383 distribute-lft-neg-out_binary64_15382 distribute-rgt-neg-in_binary64_15381 distribute-lft-neg-in_binary64_15380

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	13	16

Proof

(+ f64 (* f64 h0 h0) (* f64 h1 (+ f64 h1 (=> (* f64 2 h0)))))
*-commutative_binary64_15354 =>
(+ f64 (* f64 h0 h0) (* f64 h1 (+ f64 h1 (* f64 h0 2))))

end0.0ms (0%)

sample704.0ms (25.3%)

Algorithm

1×

intervals

Results

256.0ms	8000×	body	128	valid
7.0ms	213×	body	128	invalid

Compiler

Compiled 171 to 137 computations (19.9% saved)

Details

analyze104.0ms (3.8%)

sample17.0ms (0.6%)

simplify158.0ms (5.7%)

prune7.0ms (0.3%)

localize7.0ms (0.3%)

rewrite50.0ms (1.8%)

series432.0ms (15.5%)

simplify238.0ms (8.6%)

prune136.0ms (4.9%)

localize7.0ms (0.3%)

rewrite47.0ms (1.7%)

series431.0ms (15.5%)

simplify236.0ms (8.5%)

prune121.0ms (4.3%)

regimes81.0ms (2.9%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample704.0ms (25.3%)

Profiling