Details

analyze24.0ms (0.3%)

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
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
62.4%	37.5%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample13.0ms (0.2%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify902.0ms (10.9%)

Algorithm

1×	egg-herbie

Rules

1217×	`exp-prod_binary64_9337`
899×	`div-sub_binary64_9290`
551×	`distribute-rgt-out--_binary64_9239`
523×	`distribute-rgt-out_binary64_9238`
496×	`cube-prod_binary64_9313`
433×	`swap-sqr_binary64_9252`
319×	`distribute-rgt-neg-in_binary64_9243`
269×	`sub-neg_binary64_9278`
257×	`exp-diff_binary64_9333`
255×	`exp-sum_binary64_9331`
189×	`cancel-sign-sub-inv_binary64_9251` `associate--r-_binary64_9224`
172×	`unsub-neg_binary64_9279`
171×	`*-commutative_binary64_9216`
146×	`associate--l-_binary64_9223`
118×	`pow-plus_binary64_9348` `associate-+r-_binary64_9219`
83×	`associate-+l-_binary64_9220`
74×	`+-commutative_binary64_9215`
49×	`distribute-lft-neg-in_binary64_9242`
48×	`distribute-neg-out_binary64_9247`
46×	`distribute-rgt1-in_binary64_9241`
37×	`neg-mul-1_binary64_9281` `sqr-pow_binary64_9257`
36×	`associate-/r*_binary64_9229`
35×	`distribute-rgt-in_binary64_9235`
34×	`neg-sub0_binary64_9280`
20×	`distribute-neg-in_binary64_9246`
19×	`associate-r_binary64_9225`
17×	`associate--r+_binary64_9221`
15×	`sqr-neg_binary64_9299` `+-inverses_binary64_9264` `difference-of-squares_binary64_9254` `distribute-lft-in_binary64_9234` `associate-+l+_binary64_9218` `associate-+r+_binary64_9217`
14×	`pow-base-1_binary64_9345`
13×	`count-2_binary64_9233`
11×	`cube-unmult_binary64_9322` `distribute-lft1-in_binary64_9240`
10×	`exp-lft-sqr_binary64_9340` `pow-sqr_binary64_9258` `associate--l+_binary64_9222`
9×	`remove-double-neg_binary64_9273` `distribute-frac-neg_binary64_9248` `distribute-rgt-neg-out_binary64_9245` `distribute-lft-neg-out_binary64_9244`
8×	`sub0-neg_binary64_9272`
6×	`-rgt-identity_binary64_9275` `-lft-identity_binary64_9274` `+-rgt-identity_binary64_9270`
5×	`+-lft-identity_binary64_9269` `associate-l_binary64_9226`
4×	`cube-div_binary64_9314` `associate-*l/_binary64_9228`
3×	`--rgt-identity_binary64_9271` `div0_binary64_9266` `difference-of-sqr--1_binary64_9256` `distribute-lft-out--_binary64_9237` `distribute-lft-out_binary64_9236`
2×	`exp-neg_binary64_9332` `mul0-lft_binary64_9267`
1×	`unpow3_binary64_9351` `1-exp_binary64_9329` `exp-1-e_binary64_9328` `cube-neg_binary64_9312` `distribute-neg-frac_binary64_9249`
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_9548` `erf-erfc_binary64_9547` `erf-odd_binary64_9546` `if-if-and-not_binary64_9545` `if-if-and_binary64_9544` `if-if-or-not_binary64_9543` `if-if-or_binary64_9542` `if-not_binary64_9541` `if-same_binary64_9540` `if-false_binary64_9539` `if-true_binary64_9538` `not-gte_binary64_9537` `not-lte_binary64_9536` `not-gt_binary64_9535` `not-lt_binary64_9534` `gte-same_binary64_9533` `lte-same_binary64_9532` `gt-same_binary64_9531` `lt-same_binary64_9530` `sinh---cosh_binary64_9477` `sinh-+-cosh_binary64_9476` `sinh-cosh_binary64_9475` `tanh-def-c_binary64_9474` `tanh-def-b_binary64_9473` `tanh-def-a_binary64_9472` `cosh-def_binary64_9471` `sinh-def_binary64_9470` `tan-neg_binary64_9417` `cos-neg_binary64_9416` `sin-neg_binary64_9415` `tan-0_binary64_9414` `cos-0_binary64_9413` `sin-0_binary64_9412` `hang-m-tan_binary64_9411` `hang-p-tan_binary64_9410` `hang-m0-tan_binary64_9409` `hang-p0-tan_binary64_9408` `hang-0m-tan_binary64_9407` `hang-0p-tan_binary64_9406` `tan-+PI/2_binary64_9405` `tan-+PI_binary64_9404` `tan-PI_binary64_9403` `tan-PI/3_binary64_9402` `tan-PI/4_binary64_9401` `tan-PI/6_binary64_9400` `cos-+PI/2_binary64_9399` `cos-+PI_binary64_9398` `cos-PI_binary64_9397` `cos-PI/2_binary64_9396` `cos-PI/3_binary64_9395` `cos-PI/4_binary64_9394` `cos-PI/6_binary64_9393` `sin-+PI/2_binary64_9392` `sin-+PI_binary64_9391` `sin-PI_binary64_9390` `sin-PI/2_binary64_9389` `sin-PI/3_binary64_9388` `sin-PI/4_binary64_9387` `sin-PI/6_binary64_9386` `sub-1-sin_binary64_9385` `sub-1-cos_binary64_9384` `-1-add-sin_binary64_9383` `-1-add-cos_binary64_9382` `1-sub-sin_binary64_9381` `1-sub-cos_binary64_9380` `cos-sin-sum_binary64_9379` `log-E_binary64_9375` `log-pow_binary64_9374` `log-rec_binary64_9373` `log-div_binary64_9372` `log-prod_binary64_9371` `pow-base-0_binary64_9369` `unpow1/3_binary64_9352` `unpow2_binary64_9350` `unpow1/2_binary64_9349` `exp-to-pow_binary64_9347` `unpow0_binary64_9344` `unpow1_binary64_9343` `unpow-1_binary64_9342` `exp-lft-cube_binary64_9341` `exp-cbrt_binary64_9339` `exp-sqrt_binary64_9338` `div-exp_binary64_9336` `rec-exp_binary64_9335` `prod-exp_binary64_9334` `e-exp-1_binary64_9330` `exp-0_binary64_9327` `rem-log-exp_binary64_9326` `rem-exp-log_binary64_9325` `cube-mult_binary64_9315` `rem-3cbrt-rft_binary64_9311` `rem-3cbrt-lft_binary64_9310` `rem-cbrt-cube_binary64_9309` `rem-cube-cbrt_binary64_9308` `sqr-abs_binary64_9300` `rem-sqrt-square_binary64_9298` `rem-square-sqrt_binary64_9297` `times-frac_binary64_9291` `mul-1-neg_binary64_9277` `/-rgt-identity_binary64_9276` `mul0-rgt_binary64_9268` `-inverses_binary64_9265` `lft-mult-inverse_binary64_9263` `rgt-mult-inverse_binary64_9262` `remove-double-div_binary64_9261` `difference-of-sqr-1_binary64_9255` `unswap-sqr_binary64_9253` `cancel-sign-sub_binary64_9250` `associate-/l/_binary64_9232` `associate-/r/_binary64_9231` `associate-/l_binary64_9230` `associate-*r/_binary64_9227`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	9	10
2	14	10
3	20	10
4	28	10
5	49	10
6	93	10
7	213	10
8	1831	10
9	2514	10

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

1 → 1

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (+.f64 x y) (-.f64 x y))

rewrite47.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

34×	`*-un-lft-identity_binary64_9285`
22×	`add-sqr-sqrt_binary64_9307`
20×	`times-frac_binary64_9291`
12×	`add-cube-cbrt_binary64_9320`
6×	`distribute-lft-out_binary64_9236`
5×	`difference-of-squares_binary64_9254` `distribute-lft-out--_binary64_9237` `associate-/r*_binary64_9229`
4×	`associate-/l*_binary64_9230`
3×	`add-exp-log_binary64_9323` `add-cbrt-cube_binary64_9321`
2×	`associate-/l/_binary64_9232` `associate-/r/_binary64_9231`
1×	`pow1_binary64_9346` `div-exp_binary64_9336` `add-log-exp_binary64_9324` `cbrt-undiv_binary64_9319` `frac-2neg_binary64_9296` `clear-num_binary64_9284` `div-inv_binary64_9282` `flip3-+_binary64_9288` `flip-+_binary64_9259` `flip3--_binary64_9289` `flip--_binary64_9260`

Counts

1 → 45

Calls

1 calls:

8.0ms

(/.f64 (+.f64 x y) (-.f64 x y))

Compiler

Compiled 714 to 162 computations (77.3% saved)

series142.0ms (1.7%)

Error

0.0b

Counts

1 → 24

Calls

1 calls:

118.0ms

(/.f64 (+.f64 x y) (-.f64 x y))

Compiler

Compiled 642 to 532 computations (17.1% saved)

simplify247.0ms (3%)

Algorithm

1×	egg-herbie

Rules

569×	`associate-/l/_binary64_9232`
372×	`distribute-rgt-in_binary64_9235`
361×	`cancel-sign-sub-inv_binary64_9251`
311×	`distribute-lft-in_binary64_9234`
190×	`times-frac_binary64_9291`
177×	`associate-/l*_binary64_9230`
137×	`associate-/r*_binary64_9229`
122×	`distribute-rgt-out_binary64_9238`
113×	`distribute-rgt-neg-in_binary64_9243`
112×	`div-sub_binary64_9290`
108×	`unsub-neg_binary64_9279` `sub-neg_binary64_9278`
106×	`distribute-lft-neg-in_binary64_9242`
99×	`associate-l_binary64_9226`
95×	`distribute-rgt-neg-out_binary64_9245` `associate-*r/_binary64_9227`
94×	`associate-*l/_binary64_9228`
87×	`*-commutative_binary64_9216`
84×	`associate-r_binary64_9225`
81×	`distribute-neg-frac_binary64_9249`
77×	`unswap-sqr_binary64_9253`
74×	`distribute-lft-neg-out_binary64_9244`
68×	`distribute-lft-out_binary64_9236`
67×	`associate-/r/_binary64_9231`
58×	`associate-+l+_binary64_9218`
57×	`distribute-neg-in_binary64_9246`
55×	`neg-sub0_binary64_9280` `associate-+r+_binary64_9217`
51×	`distribute-neg-out_binary64_9247`
49×	`neg-mul-1_binary64_9281`
47×	`+-commutative_binary64_9215`
37×	`sqr-pow_binary64_9257`
29×	`associate--r+_binary64_9221`
28×	`difference-of-squares_binary64_9254`
24×	`distribute-frac-neg_binary64_9248` `distribute-rgt-out--_binary64_9239`
22×	`pow-sqr_binary64_9258`
20×	`associate-+r-_binary64_9219`
18×	`associate-+l-_binary64_9220`
16×	`distribute-rgt1-in_binary64_9241`
15×	`cube-prod_binary64_9313` `*-rgt-identity_binary64_9275` `+-rgt-identity_binary64_9270`
14×	`/-rgt-identity_binary64_9276` `sub0-neg_binary64_9272`
13×	`pow-plus_binary64_9348`
12×	`*-lft-identity_binary64_9274`
11×	`log-div_binary64_9372` `log-prod_binary64_9371` `swap-sqr_binary64_9252`
10×	`cube-unmult_binary64_9322` `cube-div_binary64_9314`
9×	`div-exp_binary64_9336` `prod-exp_binary64_9334`
8×	`distribute-lft-out--_binary64_9237`
4×	`cancel-sign-sub_binary64_9250` `distribute-lft1-in_binary64_9240` `associate--l+_binary64_9222`
3×	`rec-exp_binary64_9335`
2×	`unpow3_binary64_9351` `unpow2_binary64_9350` `unpow1_binary64_9343` `exp-prod_binary64_9337` `cube-mult_binary64_9315` `sqr-neg_binary64_9299` `rem-sqrt-square_binary64_9298` `*-inverses_binary64_9265` `count-2_binary64_9233` `associate--r-_binary64_9224`
1×	`log-pow_binary64_9374` `log-rec_binary64_9373` `exp-diff_binary64_9333` `1-exp_binary64_9329` `rem-log-exp_binary64_9326` `cube-neg_binary64_9312` `remove-double-neg_binary64_9273` `--rgt-identity_binary64_9271` `rgt-mult-inverse_binary64_9262` `associate--l-_binary64_9223`
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_9548` `erf-erfc_binary64_9547` `erf-odd_binary64_9546` `if-if-and-not_binary64_9545` `if-if-and_binary64_9544` `if-if-or-not_binary64_9543` `if-if-or_binary64_9542` `if-not_binary64_9541` `if-same_binary64_9540` `if-false_binary64_9539` `if-true_binary64_9538` `not-gte_binary64_9537` `not-lte_binary64_9536` `not-gt_binary64_9535` `not-lt_binary64_9534` `gte-same_binary64_9533` `lte-same_binary64_9532` `gt-same_binary64_9531` `lt-same_binary64_9530` `sinh---cosh_binary64_9477` `sinh-+-cosh_binary64_9476` `sinh-cosh_binary64_9475` `tanh-def-c_binary64_9474` `tanh-def-b_binary64_9473` `tanh-def-a_binary64_9472` `cosh-def_binary64_9471` `sinh-def_binary64_9470` `tan-neg_binary64_9417` `cos-neg_binary64_9416` `sin-neg_binary64_9415` `tan-0_binary64_9414` `cos-0_binary64_9413` `sin-0_binary64_9412` `hang-m-tan_binary64_9411` `hang-p-tan_binary64_9410` `hang-m0-tan_binary64_9409` `hang-p0-tan_binary64_9408` `hang-0m-tan_binary64_9407` `hang-0p-tan_binary64_9406` `tan-+PI/2_binary64_9405` `tan-+PI_binary64_9404` `tan-PI_binary64_9403` `tan-PI/3_binary64_9402` `tan-PI/4_binary64_9401` `tan-PI/6_binary64_9400` `cos-+PI/2_binary64_9399` `cos-+PI_binary64_9398` `cos-PI_binary64_9397` `cos-PI/2_binary64_9396` `cos-PI/3_binary64_9395` `cos-PI/4_binary64_9394` `cos-PI/6_binary64_9393` `sin-+PI/2_binary64_9392` `sin-+PI_binary64_9391` `sin-PI_binary64_9390` `sin-PI/2_binary64_9389` `sin-PI/3_binary64_9388` `sin-PI/4_binary64_9387` `sin-PI/6_binary64_9386` `sub-1-sin_binary64_9385` `sub-1-cos_binary64_9384` `-1-add-sin_binary64_9383` `-1-add-cos_binary64_9382` `1-sub-sin_binary64_9381` `1-sub-cos_binary64_9380` `cos-sin-sum_binary64_9379` `log-E_binary64_9375` `pow-base-0_binary64_9369` `unpow1/3_binary64_9352` `unpow1/2_binary64_9349` `exp-to-pow_binary64_9347` `pow-base-1_binary64_9345` `unpow0_binary64_9344` `unpow-1_binary64_9342` `exp-lft-cube_binary64_9341` `exp-lft-sqr_binary64_9340` `exp-cbrt_binary64_9339` `exp-sqrt_binary64_9338` `exp-neg_binary64_9332` `exp-sum_binary64_9331` `e-exp-1_binary64_9330` `exp-1-e_binary64_9328` `exp-0_binary64_9327` `rem-exp-log_binary64_9325` `rem-3cbrt-rft_binary64_9311` `rem-3cbrt-lft_binary64_9310` `rem-cbrt-cube_binary64_9309` `rem-cube-cbrt_binary64_9308` `sqr-abs_binary64_9300` `rem-square-sqrt_binary64_9297` `mul-1-neg_binary64_9277` `+-lft-identity_binary64_9269` `mul0-rgt_binary64_9268` `mul0-lft_binary64_9267` `div0_binary64_9266` `+-inverses_binary64_9264` `lft-mult-inverse_binary64_9263` `remove-double-div_binary64_9261` `difference-of-sqr--1_binary64_9256` `difference-of-sqr-1_binary64_9255`

Counts

69 → 87

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	107	1317
1	265	1239
2	827	1153
3	2278	1153

prune80.0ms (1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	84	3	87
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	84	4	88

Error

0.0b

Counts

88 → 4

Compiler

Compiled 1476 to 610 computations (58.7% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 2 (+.f64 (.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)) (pow.f64 (/.f64 y x) 3)))
0.1b	(*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x))
0.2b	(pow.f64 (/.f64 y x) 3)
7.5b	(+.f64 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)) (pow.f64 (/.f64 y x) 3))

rewrite262.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

36×	`add-sqr-sqrt_binary64_9307`
31×	`*-un-lft-identity_binary64_9285`
29×	`add-cube-cbrt_binary64_9320`
28×	`times-frac_binary64_9291`
17×	`associate-r_binary64_9225`
14×	`add-exp-log_binary64_9323` `add-cbrt-cube_binary64_9321`
13×	`unpow-prod-down_binary64_9364` `cube-prod_binary64_9313`
11×	`cube-div_binary64_9314`
10×	`frac-add_binary64_9293` `associate-*r/_binary64_9227`
9×	`pow1_binary64_9346`
8×	`flip3-+_binary64_9288` `flip-+_binary64_9259`
7×	`associate-l_binary64_9226`
6×	`add-log-exp_binary64_9324` `frac-times_binary64_9295` `associate-*l/_binary64_9228`
3×	`unpow3_binary64_9351` `div-inv_binary64_9282` `pow-unpow_binary64_9362` `prod-exp_binary64_9334` `cbrt-unprod_binary64_9318` `unswap-sqr_binary64_9253`
2×	`distribute-rgt-out_binary64_9238` `div-exp_binary64_9336` `pow-exp_binary64_9353` `rem-cube-cbrt_binary64_9308` `cbrt-undiv_binary64_9319` `pow-prod-down_binary64_9356` `*-commutative_binary64_9216`
1×	`sum-log_binary64_9376` `+-commutative_binary64_9215` `pow-pow_binary64_9357` `pow-to-exp_binary64_9354` `cube-mult_binary64_9315` `sqr-pow_binary64_9257` `distribute-lft-out_binary64_9236` `distribute-rgt-in_binary64_9235` `distribute-lft-in_binary64_9234`

Counts

4 → 128

Calls

4 calls:

22.0ms	(.f64 2 (+.f64 (.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)) (pow.f64 (/.f64 y x) 3)))
20.0ms	(+.f64 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)) (pow.f64 (/.f64 y x) 3))
13.0ms	(*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x))
5.0ms	(pow.f64 (/.f64 y x) 3)

Compiler

Compiled 3936 to 2069 computations (47.4% saved)

series909.0ms (10.9%)

Error

0.0b

Counts

4 → 42

Calls

4 calls:

279.0ms	(.f64 2 (+.f64 (.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)) (pow.f64 (/.f64 y x) 3)))
232.0ms	(+.f64 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)) (pow.f64 (/.f64 y x) 3))
224.0ms	(*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x))
132.0ms	(pow.f64 (/.f64 y x) 3)

Compiler

Compiled 1914 to 1479 computations (22.7% saved)

simplify1.3s (16.1%)

Algorithm

1×	egg-herbie

Rules

380×	`associate-l_binary64_9226`
359×	`associate-r_binary64_9225`
208×	`cancel-sign-sub-inv_binary64_9251`
164×	`distribute-rgt-out_binary64_9238`
163×	`sqr-pow_binary64_9257`
157×	`log-prod_binary64_9371`
145×	`associate-*r/_binary64_9227`
141×	`associate-*l/_binary64_9228`
136×	`distribute-rgt-neg-in_binary64_9243`
135×	`cube-prod_binary64_9313`
133×	`exp-prod_binary64_9337`
120×	`cube-div_binary64_9314`
119×	`distribute-lft-neg-in_binary64_9242`
114×	`distribute-lft-out_binary64_9236` `*-commutative_binary64_9216`
106×	`distribute-rgt-in_binary64_9235`
96×	`distribute-lft-in_binary64_9234`
95×	`associate-/l*_binary64_9230`
85×	`pow-sqr_binary64_9258`
75×	`distribute-neg-frac_binary64_9249`
72×	`log-div_binary64_9372`
64×	`times-frac_binary64_9291`
57×	`*-rgt-identity_binary64_9275`
51×	`swap-sqr_binary64_9252`
48×	`*-lft-identity_binary64_9274`
46×	`unpow3_binary64_9351`
40×	`cube-mult_binary64_9315`
39×	`associate-/r*_binary64_9229`
37×	`distribute-rgt-out--_binary64_9239`
34×	`log-pow_binary64_9374` `sub-neg_binary64_9278`
32×	`associate-/l/_binary64_9232`
30×	`+-commutative_binary64_9215`
28×	`pow-plus_binary64_9348`
27×	`unswap-sqr_binary64_9253`
22×	`difference-of-squares_binary64_9254`
21×	`neg-mul-1_binary64_9281`
20×	`neg-sub0_binary64_9280`
19×	`prod-exp_binary64_9334` `distribute-lft-neg-out_binary64_9244`
18×	`exp-sum_binary64_9331` `rem-sqrt-square_binary64_9298` `distribute-lft-out--_binary64_9237`
16×	`div-exp_binary64_9336` `/-rgt-identity_binary64_9276`
10×	`associate-/r/_binary64_9231`
9×	`difference-of-sqr-1_binary64_9255` `distribute-rgt1-in_binary64_9241` `associate-+l+_binary64_9218`
8×	`cube-unmult_binary64_9322` `distribute-rgt-neg-out_binary64_9245` `associate-+r+_binary64_9217`
6×	`exp-lft-sqr_binary64_9340` `distribute-neg-in_binary64_9246`
5×	`distribute-lft1-in_binary64_9240`
4×	`rec-exp_binary64_9335` `div-sub_binary64_9290`
3×	`pow-base-1_binary64_9345` `unpow1_binary64_9343` `rem-cube-cbrt_binary64_9308` `rem-square-sqrt_binary64_9297` `associate-+l-_binary64_9220` `associate-+r-_binary64_9219`
2×	`log-rec_binary64_9373` `unpow2_binary64_9350` `rem-cbrt-cube_binary64_9309`
1×	`exp-sqrt_binary64_9338` `1-exp_binary64_9329` `exp-1-e_binary64_9328` `rem-log-exp_binary64_9326` `unsub-neg_binary64_9279` `*-inverses_binary64_9265`
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_9548` `erf-erfc_binary64_9547` `erf-odd_binary64_9546` `if-if-and-not_binary64_9545` `if-if-and_binary64_9544` `if-if-or-not_binary64_9543` `if-if-or_binary64_9542` `if-not_binary64_9541` `if-same_binary64_9540` `if-false_binary64_9539` `if-true_binary64_9538` `not-gte_binary64_9537` `not-lte_binary64_9536` `not-gt_binary64_9535` `not-lt_binary64_9534` `gte-same_binary64_9533` `lte-same_binary64_9532` `gt-same_binary64_9531` `lt-same_binary64_9530` `sinh---cosh_binary64_9477` `sinh-+-cosh_binary64_9476` `sinh-cosh_binary64_9475` `tanh-def-c_binary64_9474` `tanh-def-b_binary64_9473` `tanh-def-a_binary64_9472` `cosh-def_binary64_9471` `sinh-def_binary64_9470` `tan-neg_binary64_9417` `cos-neg_binary64_9416` `sin-neg_binary64_9415` `tan-0_binary64_9414` `cos-0_binary64_9413` `sin-0_binary64_9412` `hang-m-tan_binary64_9411` `hang-p-tan_binary64_9410` `hang-m0-tan_binary64_9409` `hang-p0-tan_binary64_9408` `hang-0m-tan_binary64_9407` `hang-0p-tan_binary64_9406` `tan-+PI/2_binary64_9405` `tan-+PI_binary64_9404` `tan-PI_binary64_9403` `tan-PI/3_binary64_9402` `tan-PI/4_binary64_9401` `tan-PI/6_binary64_9400` `cos-+PI/2_binary64_9399` `cos-+PI_binary64_9398` `cos-PI_binary64_9397` `cos-PI/2_binary64_9396` `cos-PI/3_binary64_9395` `cos-PI/4_binary64_9394` `cos-PI/6_binary64_9393` `sin-+PI/2_binary64_9392` `sin-+PI_binary64_9391` `sin-PI_binary64_9390` `sin-PI/2_binary64_9389` `sin-PI/3_binary64_9388` `sin-PI/4_binary64_9387` `sin-PI/6_binary64_9386` `sub-1-sin_binary64_9385` `sub-1-cos_binary64_9384` `-1-add-sin_binary64_9383` `-1-add-cos_binary64_9382` `1-sub-sin_binary64_9381` `1-sub-cos_binary64_9380` `cos-sin-sum_binary64_9379` `log-E_binary64_9375` `pow-base-0_binary64_9369` `unpow1/3_binary64_9352` `unpow1/2_binary64_9349` `exp-to-pow_binary64_9347` `unpow0_binary64_9344` `unpow-1_binary64_9342` `exp-lft-cube_binary64_9341` `exp-cbrt_binary64_9339` `exp-diff_binary64_9333` `exp-neg_binary64_9332` `e-exp-1_binary64_9330` `exp-0_binary64_9327` `rem-exp-log_binary64_9325` `cube-neg_binary64_9312` `rem-3cbrt-rft_binary64_9311` `rem-3cbrt-lft_binary64_9310` `sqr-abs_binary64_9300` `sqr-neg_binary64_9299` `mul-1-neg_binary64_9277` `remove-double-neg_binary64_9273` `sub0-neg_binary64_9272` `--rgt-identity_binary64_9271` `+-rgt-identity_binary64_9270` `+-lft-identity_binary64_9269` `mul0-rgt_binary64_9268` `mul0-lft_binary64_9267` `div0_binary64_9266` `+-inverses_binary64_9264` `lft-mult-inverse_binary64_9263` `rgt-mult-inverse_binary64_9262` `remove-double-div_binary64_9261` `difference-of-sqr--1_binary64_9256` `cancel-sign-sub_binary64_9250` `distribute-frac-neg_binary64_9248` `distribute-neg-out_binary64_9247` `count-2_binary64_9233` `associate--r-_binary64_9224` `associate--l-_binary64_9223` `associate--l+_binary64_9222` `associate--r+_binary64_9221`

Counts

170 → 407

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	217	3509
1	650	3128
2	3157	3110

prune773.0ms (9.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	407	0	407
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	407	4	411

Error

0.0b

Counts

411 → 4

Compiler

Compiled 13083 to 6822 computations (47.9% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite34.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-sqr-sqrt_binary64_9307`
13×	`associate-r_binary64_9225`
10×	`times-frac_binary64_9291`
9×	`add-cube-cbrt_binary64_9320` `*-un-lft-identity_binary64_9285`
6×	`add-exp-log_binary64_9323` `add-cbrt-cube_binary64_9321`
3×	`pow1_binary64_9346` `associate-l_binary64_9226`
2×	`prod-exp_binary64_9334` `cbrt-unprod_binary64_9318` `unswap-sqr_binary64_9253`
1×	`pow-prod-down_binary64_9356` `div-exp_binary64_9336` `add-log-exp_binary64_9324` `cbrt-undiv_binary64_9319` `associate-r/_binary64_9227` `div-inv_binary64_9282` `-commutative_binary64_9216`

Counts

1 → 32

Calls

1 calls:

7.0ms

(*.f64 2 (/.f64 x y))

Compiler

Compiled 437 to 258 computations (41% saved)

series78.0ms (0.9%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

74.0ms

(*.f64 2 (/.f64 x y))

Compiler

Compiled 126 to 111 computations (11.9% saved)

simplify451.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

354×	`cube-prod_binary64_9313`
324×	`exp-to-pow_binary64_9347`
258×	`distribute-rgt-out--_binary64_9239`
247×	`associate-/l*_binary64_9230`
230×	`distribute-rgt-out_binary64_9238`
229×	`sqr-pow_binary64_9257`
224×	`*-commutative_binary64_9216`
223×	`associate-*l/_binary64_9228`
206×	`swap-sqr_binary64_9252`
204×	`associate-l_binary64_9226`
202×	`associate-*r/_binary64_9227`
196×	`sub-neg_binary64_9278`
186×	`log-pow_binary64_9374`
182×	`times-frac_binary64_9291`
165×	`log-prod_binary64_9371`
164×	`pow-sqr_binary64_9258`
141×	`distribute-rgt-neg-in_binary64_9243`
140×	`distribute-rgt-in_binary64_9235`
139×	`associate-r_binary64_9225`
133×	`unsub-neg_binary64_9279`
129×	`associate-/l/_binary64_9232`
102×	`exp-prod_binary64_9337`
91×	`unpow3_binary64_9351`
86×	`exp-sum_binary64_9331`
85×	`+-commutative_binary64_9215`
76×	`unswap-sqr_binary64_9253`
74×	`log-div_binary64_9372`
73×	`distribute-rgt1-in_binary64_9241`
72×	`*-lft-identity_binary64_9274` `cancel-sign-sub-inv_binary64_9251`
71×	`distribute-neg-out_binary64_9247`
58×	`distribute-lft-neg-in_binary64_9242`
54×	`associate-/r*_binary64_9229`
52×	`associate-/r/_binary64_9231`
51×	`distribute-neg-in_binary64_9246` `associate-+l+_binary64_9218`
49×	`associate-+l-_binary64_9220`
47×	`associate--l-_binary64_9223`
46×	`pow-plus_binary64_9348`
45×	`exp-diff_binary64_9333` `cube-div_binary64_9314` `*-rgt-identity_binary64_9275` `associate--r-_binary64_9224`
43×	`count-2_binary64_9233` `associate-+r+_binary64_9217`
40×	`neg-mul-1_binary64_9281`
38×	`associate--r+_binary64_9221`
35×	`div-sub_binary64_9290`
34×	`associate--l+_binary64_9222`
32×	`associate-+r-_binary64_9219`
27×	`distribute-lft-in_binary64_9234`
26×	`neg-sub0_binary64_9280` `remove-double-div_binary64_9261`
25×	`distribute-lft1-in_binary64_9240`
23×	`distribute-rgt-neg-out_binary64_9245`
18×	`log-rec_binary64_9373`
14×	`pow-base-1_binary64_9345`
13×	`/-rgt-identity_binary64_9276`
11×	`prod-exp_binary64_9334`
9×	`exp-lft-sqr_binary64_9340` `div-exp_binary64_9336` `cube-mult_binary64_9315` `--rgt-identity_binary64_9271` `+-inverses_binary64_9264` `distribute-neg-frac_binary64_9249`
8×	`cube-unmult_binary64_9322` `sub0-neg_binary64_9272` `+-rgt-identity_binary64_9270` `distribute-lft-out_binary64_9236`
7×	`distribute-lft-neg-out_binary64_9244` `distribute-lft-out--_binary64_9237`
5×	`+-lft-identity_binary64_9269`
4×	`rem-log-exp_binary64_9326` `sqr-neg_binary64_9299`
3×	`exp-sqrt_binary64_9338` `rec-exp_binary64_9335` `remove-double-neg_binary64_9273` `difference-of-sqr--1_binary64_9256`
2×	`distribute-frac-neg_binary64_9248`
1×	`pow-base-0_binary64_9369` `exp-lft-cube_binary64_9341` `1-exp_binary64_9329` `exp-1-e_binary64_9328` `rem-exp-log_binary64_9325` `rem-sqrt-square_binary64_9298` `mul-1-neg_binary64_9277` `div0_binary64_9266` `*-inverses_binary64_9265` `lft-mult-inverse_binary64_9263`
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_9548` `erf-erfc_binary64_9547` `erf-odd_binary64_9546` `if-if-and-not_binary64_9545` `if-if-and_binary64_9544` `if-if-or-not_binary64_9543` `if-if-or_binary64_9542` `if-not_binary64_9541` `if-same_binary64_9540` `if-false_binary64_9539` `if-true_binary64_9538` `not-gte_binary64_9537` `not-lte_binary64_9536` `not-gt_binary64_9535` `not-lt_binary64_9534` `gte-same_binary64_9533` `lte-same_binary64_9532` `gt-same_binary64_9531` `lt-same_binary64_9530` `sinh---cosh_binary64_9477` `sinh-+-cosh_binary64_9476` `sinh-cosh_binary64_9475` `tanh-def-c_binary64_9474` `tanh-def-b_binary64_9473` `tanh-def-a_binary64_9472` `cosh-def_binary64_9471` `sinh-def_binary64_9470` `tan-neg_binary64_9417` `cos-neg_binary64_9416` `sin-neg_binary64_9415` `tan-0_binary64_9414` `cos-0_binary64_9413` `sin-0_binary64_9412` `hang-m-tan_binary64_9411` `hang-p-tan_binary64_9410` `hang-m0-tan_binary64_9409` `hang-p0-tan_binary64_9408` `hang-0m-tan_binary64_9407` `hang-0p-tan_binary64_9406` `tan-+PI/2_binary64_9405` `tan-+PI_binary64_9404` `tan-PI_binary64_9403` `tan-PI/3_binary64_9402` `tan-PI/4_binary64_9401` `tan-PI/6_binary64_9400` `cos-+PI/2_binary64_9399` `cos-+PI_binary64_9398` `cos-PI_binary64_9397` `cos-PI/2_binary64_9396` `cos-PI/3_binary64_9395` `cos-PI/4_binary64_9394` `cos-PI/6_binary64_9393` `sin-+PI/2_binary64_9392` `sin-+PI_binary64_9391` `sin-PI_binary64_9390` `sin-PI/2_binary64_9389` `sin-PI/3_binary64_9388` `sin-PI/4_binary64_9387` `sin-PI/6_binary64_9386` `sub-1-sin_binary64_9385` `sub-1-cos_binary64_9384` `-1-add-sin_binary64_9383` `-1-add-cos_binary64_9382` `1-sub-sin_binary64_9381` `1-sub-cos_binary64_9380` `cos-sin-sum_binary64_9379` `log-E_binary64_9375` `unpow1/3_binary64_9352` `unpow2_binary64_9350` `unpow1/2_binary64_9349` `unpow0_binary64_9344` `unpow1_binary64_9343` `unpow-1_binary64_9342` `exp-cbrt_binary64_9339` `exp-neg_binary64_9332` `e-exp-1_binary64_9330` `exp-0_binary64_9327` `cube-neg_binary64_9312` `rem-3cbrt-rft_binary64_9311` `rem-3cbrt-lft_binary64_9310` `rem-cbrt-cube_binary64_9309` `rem-cube-cbrt_binary64_9308` `sqr-abs_binary64_9300` `rem-square-sqrt_binary64_9297` `mul0-rgt_binary64_9268` `mul0-lft_binary64_9267` `rgt-mult-inverse_binary64_9262` `difference-of-sqr-1_binary64_9255` `difference-of-squares_binary64_9254` `cancel-sign-sub_binary64_9250`

Counts

38 → 90

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	69	414
1	159	369
2	540	369
3	1518	369
4	1674	369
5	2086	369
6	3443	369
7	4574	369

prune80.0ms (1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	90	4	94

Error

0.0b

Counts

94 → 4

Compiler

Compiled 1218 to 766 computations (37.1% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (-.f64 x y) (+.f64 (.f64 x x) (*.f64 y (-.f64 y x))))
2.6b	(+.f64 (pow.f64 x 3) (pow.f64 y 3))
2.8b	(+.f64 (.f64 x x) (.f64 y (-.f64 y x)))
43.3b	(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (.f64 (-.f64 x y) (+.f64 (.f64 x x) (*.f64 y (-.f64 y x)))))

rewrite218.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

42×	`*-un-lft-identity_binary64_9285`
15×	`distribute-lft-out_binary64_9236`
14×	`add-sqr-sqrt_binary64_9307`
12×	`unpow-prod-down_binary64_9364` `cube-prod_binary64_9313`
11×	`add-exp-log_binary64_9323` `add-cbrt-cube_binary64_9321`
10×	`add-cube-cbrt_binary64_9320`
9×	`times-frac_binary64_9291` `flip3-+_binary64_9288` `flip-+_binary64_9259` `associate-/l*_binary64_9230`
8×	`add-log-exp_binary64_9324` `frac-times_binary64_9295` `associate-/r/_binary64_9231` `associate-+r+_binary64_9217`
6×	`pow1_binary64_9346` `flip3--_binary64_9289` `flip--_binary64_9260` `cancel-sign-sub-inv_binary64_9251`
5×	`distribute-rgt-in_binary64_9235` `distribute-lft-in_binary64_9234` `associate-l_binary64_9226`
4×	`associate-l/_binary64_9228` `associate-r/_binary64_9227`
3×	`sum-cubes_binary64_9286` `associate-r_binary64_9225`
2×	`prod-exp_binary64_9334` `div-exp_binary64_9336` `cbrt-undiv_binary64_9319` `cbrt-unprod_binary64_9318` `associate-/l/_binary64_9232` `sum-log_binary64_9376` `sub-neg_binary64_9278` `+-commutative_binary64_9215`
1×	`frac-2neg_binary64_9296` `clear-num_binary64_9284` `div-inv_binary64_9282` `associate-/r_binary64_9229` `pow-prod-down_binary64_9356` `unswap-sqr_binary64_9253` `difference-of-squares_binary64_9254` `distribute-lft-out--_binary64_9237` `-commutative_binary64_9216`

Counts

4 → 109

Calls

4 calls:

21.0ms	(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (.f64 (-.f64 x y) (+.f64 (.f64 x x) (*.f64 y (-.f64 y x)))))
11.0ms	(+.f64 (pow.f64 x 3) (pow.f64 y 3))
9.0ms	(.f64 (-.f64 x y) (+.f64 (.f64 x x) (*.f64 y (-.f64 y x))))
5.0ms	(+.f64 (.f64 x x) (.f64 y (-.f64 y x)))

Compiler

Compiled 3650 to 1207 computations (66.9% saved)

series846.0ms (10.2%)

Error

0.0b

Counts

4 → 78

Calls

4 calls:

220.0ms	(+.f64 (pow.f64 x 3) (pow.f64 y 3))
202.0ms	(+.f64 (.f64 x x) (.f64 y (-.f64 y x)))
190.0ms	(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (.f64 (-.f64 x y) (+.f64 (.f64 x x) (*.f64 y (-.f64 y x)))))
145.0ms	(.f64 (-.f64 x y) (+.f64 (.f64 x x) (*.f64 y (-.f64 y x))))

Compiler

Compiled 3114 to 2219 computations (28.7% saved)

simplify462.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

524×	`times-frac_binary64_9291`
342×	`associate-/l*_binary64_9230`
229×	`associate-l_binary64_9226`
225×	`associate-r_binary64_9225`
215×	`cancel-sign-sub-inv_binary64_9251`
192×	`distribute-rgt-in_binary64_9235`
175×	`distribute-lft-in_binary64_9234`
113×	`unswap-sqr_binary64_9253`
111×	`distribute-rgt-neg-in_binary64_9243`
105×	`*-commutative_binary64_9216`
100×	`associate-/l/_binary64_9232`
91×	`distribute-lft-neg-out_binary64_9244`
90×	`distribute-lft-neg-in_binary64_9242`
88×	`associate-/r/_binary64_9231`
87×	`sub-neg_binary64_9278`
85×	`associate-/r*_binary64_9229`
82×	`distribute-neg-in_binary64_9246`
73×	`distribute-rgt-neg-out_binary64_9245`
72×	`distribute-rgt-out_binary64_9238`
70×	`sqr-pow_binary64_9257`
55×	`+-commutative_binary64_9215`
50×	`neg-sub0_binary64_9280`
49×	`exp-prod_binary64_9337` `neg-mul-1_binary64_9281`
38×	`pow-sqr_binary64_9258`
33×	`distribute-lft-out_binary64_9236`
30×	`div-sub_binary64_9290`
29×	`exp-sum_binary64_9331` `distribute-rgt-out--_binary64_9239`
27×	`difference-of-squares_binary64_9254`
24×	`pow-plus_binary64_9348`
21×	`unsub-neg_binary64_9279`
20×	`associate-+l+_binary64_9218` `associate-+r+_binary64_9217`
18×	`-lft-identity_binary64_9274` `associate-l/_binary64_9228`
17×	`*-rgt-identity_binary64_9275`
16×	`associate--r+_binary64_9221`
15×	`cube-prod_binary64_9313`
14×	`associate-*r/_binary64_9227`
12×	`unpow3_binary64_9351` `/-rgt-identity_binary64_9276`
10×	`distribute-lft-out--_binary64_9237`
9×	`log-prod_binary64_9371` `cube-unmult_binary64_9322` `associate--l+_binary64_9222`
8×	`cube-mult_binary64_9315` `swap-sqr_binary64_9252`
7×	`log-div_binary64_9372` `exp-diff_binary64_9333` `distribute-neg-frac_binary64_9249`
6×	`prod-exp_binary64_9334`
5×	`log-pow_binary64_9374`
4×	`div-exp_binary64_9336` `distribute-rgt1-in_binary64_9241`
3×	`pow-base-1_binary64_9345` `cube-div_binary64_9314` `associate-+l-_binary64_9220`
2×	`unpow2_binary64_9350` `unpow1_binary64_9343` `rec-exp_binary64_9335` `remove-double-neg_binary64_9273` `associate-+r-_binary64_9219`
1×	`exp-sqrt_binary64_9338` `1-exp_binary64_9329` `exp-1-e_binary64_9328` `rem-log-exp_binary64_9326` `mul-1-neg_binary64_9277` `*-inverses_binary64_9265` `count-2_binary64_9233` `associate--r-_binary64_9224` `associate--l-_binary64_9223`
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_9548` `erf-erfc_binary64_9547` `erf-odd_binary64_9546` `if-if-and-not_binary64_9545` `if-if-and_binary64_9544` `if-if-or-not_binary64_9543` `if-if-or_binary64_9542` `if-not_binary64_9541` `if-same_binary64_9540` `if-false_binary64_9539` `if-true_binary64_9538` `not-gte_binary64_9537` `not-lte_binary64_9536` `not-gt_binary64_9535` `not-lt_binary64_9534` `gte-same_binary64_9533` `lte-same_binary64_9532` `gt-same_binary64_9531` `lt-same_binary64_9530` `sinh---cosh_binary64_9477` `sinh-+-cosh_binary64_9476` `sinh-cosh_binary64_9475` `tanh-def-c_binary64_9474` `tanh-def-b_binary64_9473` `tanh-def-a_binary64_9472` `cosh-def_binary64_9471` `sinh-def_binary64_9470` `tan-neg_binary64_9417` `cos-neg_binary64_9416` `sin-neg_binary64_9415` `tan-0_binary64_9414` `cos-0_binary64_9413` `sin-0_binary64_9412` `hang-m-tan_binary64_9411` `hang-p-tan_binary64_9410` `hang-m0-tan_binary64_9409` `hang-p0-tan_binary64_9408` `hang-0m-tan_binary64_9407` `hang-0p-tan_binary64_9406` `tan-+PI/2_binary64_9405` `tan-+PI_binary64_9404` `tan-PI_binary64_9403` `tan-PI/3_binary64_9402` `tan-PI/4_binary64_9401` `tan-PI/6_binary64_9400` `cos-+PI/2_binary64_9399` `cos-+PI_binary64_9398` `cos-PI_binary64_9397` `cos-PI/2_binary64_9396` `cos-PI/3_binary64_9395` `cos-PI/4_binary64_9394` `cos-PI/6_binary64_9393` `sin-+PI/2_binary64_9392` `sin-+PI_binary64_9391` `sin-PI_binary64_9390` `sin-PI/2_binary64_9389` `sin-PI/3_binary64_9388` `sin-PI/4_binary64_9387` `sin-PI/6_binary64_9386` `sub-1-sin_binary64_9385` `sub-1-cos_binary64_9384` `-1-add-sin_binary64_9383` `-1-add-cos_binary64_9382` `1-sub-sin_binary64_9381` `1-sub-cos_binary64_9380` `cos-sin-sum_binary64_9379` `log-E_binary64_9375` `log-rec_binary64_9373` `pow-base-0_binary64_9369` `unpow1/3_binary64_9352` `unpow1/2_binary64_9349` `exp-to-pow_binary64_9347` `unpow0_binary64_9344` `unpow-1_binary64_9342` `exp-lft-cube_binary64_9341` `exp-lft-sqr_binary64_9340` `exp-cbrt_binary64_9339` `exp-neg_binary64_9332` `e-exp-1_binary64_9330` `exp-0_binary64_9327` `rem-exp-log_binary64_9325` `cube-neg_binary64_9312` `rem-3cbrt-rft_binary64_9311` `rem-3cbrt-lft_binary64_9310` `rem-cbrt-cube_binary64_9309` `rem-cube-cbrt_binary64_9308` `sqr-abs_binary64_9300` `sqr-neg_binary64_9299` `rem-sqrt-square_binary64_9298` `rem-square-sqrt_binary64_9297` `sub0-neg_binary64_9272` `--rgt-identity_binary64_9271` `+-rgt-identity_binary64_9270` `+-lft-identity_binary64_9269` `mul0-rgt_binary64_9268` `mul0-lft_binary64_9267` `div0_binary64_9266` `+-inverses_binary64_9264` `lft-mult-inverse_binary64_9263` `rgt-mult-inverse_binary64_9262` `remove-double-div_binary64_9261` `difference-of-sqr--1_binary64_9256` `difference-of-sqr-1_binary64_9255` `cancel-sign-sub_binary64_9250` `distribute-frac-neg_binary64_9248` `distribute-neg-out_binary64_9247` `distribute-lft1-in_binary64_9240`

Counts

187 → 307

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	191	4467
1	592	4062
2	2815	3901

prune486.0ms (5.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	307	0	307
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	307	4	311

Error

0.0b

Counts

311 → 4

Compiler

Compiled 9722 to 3761 computations (61.3% saved)

regimes117.0ms (1.4%)

Accuracy

Total 0.0b remaining (88.3%)

Threshold costs 0.0b (88.3%)

Compiler

Compiled 999 to 700 computations (29.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64_9215`
2×	`sub-neg_binary64_9278`
1×	`1-exp_binary64_9329` `neg-mul-1_binary64_9281` `neg-sub0_binary64_9280` `*-commutative_binary64_9216`
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_9545` `if-if-and_binary64_9544` `if-if-or-not_binary64_9543` `if-if-or_binary64_9542` `if-not_binary64_9541` `if-same_binary64_9540` `if-false_binary64_9539` `if-true_binary64_9538` `tan-0_binary64_9414` `cos-0_binary64_9413` `sin-0_binary64_9412` `unpow1_binary64_9343` `e-exp-1_binary64_9330` `exp-1-e_binary64_9328` `exp-0_binary64_9327` `sqr-abs_binary64_9300` `sqr-neg_binary64_9299` `unsub-neg_binary64_9279` `mul-1-neg_binary64_9277` `/-rgt-identity_binary64_9276` `-rgt-identity_binary64_9275` `-lft-identity_binary64_9274` `remove-double-neg_binary64_9273` `sub0-neg_binary64_9272` `--rgt-identity_binary64_9271` `+-rgt-identity_binary64_9270` `+-lft-identity_binary64_9269` `cancel-sign-sub-inv_binary64_9251` `cancel-sign-sub_binary64_9250` `distribute-neg-frac_binary64_9249` `distribute-frac-neg_binary64_9248` `distribute-neg-out_binary64_9247` `distribute-neg-in_binary64_9246` `distribute-rgt-neg-out_binary64_9245` `distribute-lft-neg-out_binary64_9244` `distribute-rgt-neg-in_binary64_9243` `distribute-lft-neg-in_binary64_9242`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	13	13
2	17	13
3	19	13
4	20	13

Proof

(/ f64 1 (/ f64 (- f64 h0 h1) (+ f64 h0 h1)))

end0.0ms (0%)

sample764.0ms (9.2%)

Algorithm

1×

intervals

Results

186.0ms

8000×

body

128

valid

Compiler

Compiled 343 to 239 computations (30.3% saved)

Details

analyze24.0ms (0.3%)

sample13.0ms (0.2%)

simplify902.0ms (10.9%)

prune2.0ms (0%)

localize4.0ms (0.1%)

rewrite47.0ms (0.6%)

series142.0ms (1.7%)

simplify247.0ms (3%)

prune80.0ms (1%)

localize10.0ms (0.1%)

rewrite262.0ms (3.1%)

series909.0ms (10.9%)

simplify1.3s (16.1%)

prune773.0ms (9.3%)

localize5.0ms (0.1%)

rewrite34.0ms (0.4%)

series78.0ms (0.9%)

simplify451.0ms (5.4%)

prune80.0ms (1%)

localize13.0ms (0.2%)

rewrite218.0ms (2.6%)

series846.0ms (10.2%)

simplify462.0ms (5.6%)

prune486.0ms (5.8%)

regimes117.0ms (1.4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample764.0ms (9.2%)

Profiling