Details

analyze1.2s (14.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

862×	`div-sub_binary64`
580×	`neg-mul-1_binary64`
534×	`sub-neg_binary64`
336×	`distribute-frac-neg_binary64`
276×	`times-frac_binary64`
235×	`cancel-sign-sub_binary64`
227×	`distribute-neg-frac_binary64`
187×	`neg-sub0_binary64`
179×	`unsub-neg_binary64` `cancel-sign-sub-inv_binary64`
139×	`+-commutative_binary64`
120×	`associate-*l/_binary64`
103×	`distribute-lft-neg-in_binary64`
91×	`*-commutative_binary64`
87×	`distribute-rgt-neg-in_binary64`
83×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-/l*_binary64` `associate-+l-_binary64`
76×	`div0_binary64`
72×	`associate--r+_binary64`
69×	`sub0-neg_binary64`
68×	`associate--r-_binary64`
66×	`distribute-neg-in_binary64` `associate-+r-_binary64`
63×	`associate-r/_binary64` `associate-r*_binary64`
52×	`associate-+l+_binary64`
41×	`+-lft-identity_binary64`
38×	`associate--l+_binary64`
36×	`associate-l_binary64`
32×	`associate-/r/_binary64`
28×	`mul-1-neg_binary64` `*-rgt-identity_binary64`
27×	`associate-+r+_binary64`
26×	`mul0-rgt_binary64` `mul0-lft_binary64`
25×	`remove-double-neg_binary64` `distribute-lft-neg-out_binary64`
21×	`associate--l-_binary64`
20×	`--rgt-identity_binary64` `+-rgt-identity_binary64`
19×	`/-rgt-identity_binary64`
14×	`distribute-rgt-neg-out_binary64`
11×	`distribute-rgt-out_binary64`
2×	`*-lft-identity_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` `-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-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	209
1	174	209
2	484	209
3	1198	209
4	2599	209
5	4492	209
6	4945	209
7	5146	209
0	5	5
1	5	5

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0.4%	99.4%	0.2%	10
5.6%	94.2%	0.2%	11
7.1%	92.7%	0.2%	12
8.8%	91%	0.2%	13
15.6%	84.2%	0.2%	14

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample25.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
1.0ms	14×	body	128	invalid

Compiler

Compiled 27 to 30 computations (-11.1% saved)

simplify96.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

615×	`sub-neg_binary64`
500×	`unsub-neg_binary64`
424×	`neg-mul-1_binary64`
399×	`neg-sub0_binary64`
369×	`distribute-rgt-out--_binary64`
362×	`div-sub_binary64`
353×	`cancel-sign-sub-inv_binary64`
294×	`distribute-rgt-out_binary64`
281×	`distribute-neg-frac_binary64`
272×	`distribute-lft-out--_binary64`
241×	`distribute-rgt-in_binary64` `associate-/r/_binary64`
228×	`distribute-frac-neg_binary64`
221×	`distribute-rgt-neg-in_binary64`
191×	`distribute-neg-out_binary64`
187×	`distribute-rgt-neg-out_binary64`
185×	`distribute-lft-neg-in_binary64`
170×	`associate-/r*_binary64`
163×	`distribute-lft-in_binary64`
161×	`distribute-neg-in_binary64`
160×	`associate-*l/_binary64`
143×	`associate--r-_binary64`
134×	`times-frac_binary64`
128×	`associate--r+_binary64`
127×	`associate-/l*_binary64`
123×	`distribute-lft-neg-out_binary64`
118×	`associate-+r-_binary64`
101×	`associate-*r/_binary64`
99×	`remove-double-neg_binary64`
81×	`associate--l-_binary64`
68×	`*-commutative_binary64`
64×	`associate-+l-_binary64`
62×	`associate--l+_binary64`
44×	`associate-r_binary64`
43×	`/-rgt-identity_binary64` `+-commutative_binary64`
36×	`*-lft-identity_binary64` `mul0-rgt_binary64`
35×	`--rgt-identity_binary64` `mul0-lft_binary64` `associate-/l/_binary64` `associate-l_binary64`
34×	`associate-+r+_binary64`
31×	`*-rgt-identity_binary64` `sub0-neg_binary64`
20×	`distribute-rgt1-in_binary64`
19×	`+-rgt-identity_binary64`
16×	`div0_binary64` `associate-+l+_binary64`
12×	`mul-1-neg_binary64`
11×	`+-lft-identity_binary64`
9×	`distribute-lft-out_binary64`
3×	`distribute-lft1-in_binary64`
2×	`*-inverses_binary64`
1×	`1-exp_binary64` `cancel-sign-sub_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `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` `+-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` `count-2_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	19
1	28	19
2	66	19
3	151	19
4	318	19
5	718	19
6	1795	19
7	3038	19
8	4089	19
9	4423	19
10	4869	19

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

1.8b

Counts

1 → 1

Compiler

Compiled 13 to 12 computations (7.7% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a)))
0.0b	(/.f64 (+.f64 (-.f64 t z) 1) a)
8.3b	(/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a))

rewrite380.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

417×	`*-un-lft-identity_binary64`
373×	`times-frac_binary64`
239×	`add-sqr-sqrt_binary64`
152×	`add-cube-cbrt_binary64`
100×	`cancel-sign-sub-inv_binary64`
77×	`distribute-lft-out--_binary64`
74×	`distribute-lft-out_binary64`
42×	`difference-of-squares_binary64`
22×	`associate-/r*_binary64`
14×	`div-inv_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
5×	`add-log-exp_binary64`
4×	`div-exp_binary64` `cbrt-undiv_binary64` `associate-/l/_binary64`
3×	`pow1_binary64` `div-sub_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `flip3--_binary64` `flip--_binary64` `associate-/r/_binary64`
1×	`associate-+l-_binary64` `flip3-+_binary64` `flip-+_binary64` `diff-log_binary64` `sub-neg_binary64` `associate--r-_binary64`

Counts

3 → 291

Calls

3 calls:

47.0ms	(-.f64 x (/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a)))
15.0ms	(/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a))
9.0ms	(/.f64 (+.f64 (-.f64 t z) 1) a)

Compiler

Compiled 5248 to 2242 computations (57.3% saved)

series392.0ms (4.7%)

Error

0.0b

Counts

3 → 84

Calls

3 calls:

164.0ms	(-.f64 x (/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a)))
126.0ms	(/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a))
33.0ms	(/.f64 (+.f64 (-.f64 t z) 1) a)

Compiler

Compiled 5446 to 3682 computations (32.4% saved)

simplify316.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

359×	`associate-/r/_binary64`
320×	`associate-/l*_binary64`
276×	`times-frac_binary64`
208×	`sub-neg_binary64`
168×	`associate-/r*_binary64`
154×	`associate-/l/_binary64`
142×	`neg-sub0_binary64`
139×	`neg-mul-1_binary64`
123×	`div-sub_binary64`
119×	`+-commutative_binary64`
100×	`distribute-lft-neg-out_binary64`
98×	`*-commutative_binary64`
93×	`distribute-rgt-neg-in_binary64`
88×	`distribute-neg-frac_binary64`
83×	`distribute-rgt-in_binary64`
81×	`distribute-lft-in_binary64`
72×	`associate-+r+_binary64`
64×	`associate-*r/_binary64`
61×	`distribute-neg-in_binary64`
48×	`distribute-rgt-neg-out_binary64`
43×	`cancel-sign-sub-inv_binary64`
39×	`distribute-lft-neg-in_binary64`
25×	`sqr-pow_binary64` `associate--l+_binary64`
21×	`exp-prod_binary64`
19×	`associate--r+_binary64`
12×	`associate-r_binary64`
11×	`cube-prod_binary64` `/-rgt-identity_binary64`
9×	`unpow3_binary64` `cube-div_binary64`
8×	`cube-unmult_binary64` `mul-1-neg_binary64`
7×	`log-div_binary64` `log-prod_binary64` `cube-mult_binary64`
6×	`exp-diff_binary64`
5×	`exp-sum_binary64` `-rgt-identity_binary64` `associate-l*_binary64`
4×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `swap-sqr_binary64` `associate-*l/_binary64`
3×	`distribute-rgt-out_binary64`
2×	`exp-neg_binary64` `*-lft-identity_binary64` `remove-double-div_binary64` `difference-of-squares_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `unswap-sqr_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `pow-plus_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` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `unsub-neg_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` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `associate-+l+_binary64`

Counts

375 → 327

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	599	13073
1	1940	12884
2	4908	12774
3	4981	12774

prune206.0ms (2.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	323	4	327
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	324	4	328

Error

Counts

328 → 4

Compiler

Compiled 5734 to 2341 computations (59.2% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (*.f64 (/.f64 (-.f64 y z) (+.f64 1 (-.f64 t z))) a))
0.0b	(/.f64 (-.f64 y z) (+.f64 1 (-.f64 t z)))
0.8b	(*.f64 (/.f64 (-.f64 y z) (+.f64 1 (-.f64 t z))) a)

rewrite134.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

104×	`*-un-lft-identity_binary64`
54×	`add-sqr-sqrt_binary64`
51×	`times-frac_binary64`
31×	`associate-l_binary64`
27×	`add-cube-cbrt_binary64`
22×	`distribute-lft-out_binary64` `distribute-lft-out--_binary64`
11×	`difference-of-squares_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow1_binary64` `add-log-exp_binary64` `associate-/l_binary64` `associate-/r_binary64`
4×	`associate-/r/_binary64`
3×	`associate-r_binary64`
2×	`div-exp_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-inv_binary64` `flip3-+_binary64` `flip-+_binary64` `flip3--_binary64` `associate-/l/_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `associate-l/_binary64` `-commutative_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64`

Counts

3 → 114

Calls

3 calls:

15.0ms	(*.f64 (/.f64 (-.f64 y z) (+.f64 1 (-.f64 t z))) a)
10.0ms	(/.f64 (-.f64 y z) (+.f64 1 (-.f64 t z)))
3.0ms	(-.f64 x (*.f64 (/.f64 (-.f64 y z) (+.f64 1 (-.f64 t z))) a))

Compiler

Compiled 2048 to 890 computations (56.5% saved)

series452.0ms (5.4%)

Error

Counts

3 → 96

Calls

3 calls:

160.0ms	(-.f64 x (*.f64 (/.f64 (-.f64 y z) (+.f64 1 (-.f64 t z))) a))
127.0ms	(*.f64 (/.f64 (-.f64 y z) (+.f64 1 (-.f64 t z))) a)
90.0ms	(/.f64 (-.f64 y z) (+.f64 1 (-.f64 t z)))

Compiler

Compiled 7137 to 4901 computations (31.3% saved)

simplify144.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

349×	`associate-+l+_binary64`
337×	`times-frac_binary64`
289×	`associate-/l*_binary64`
234×	`associate--l+_binary64`
213×	`associate--r+_binary64`
190×	`associate-/r*_binary64`
170×	`+-commutative_binary64`
156×	`sub-neg_binary64`
113×	`associate-r_binary64`
109×	`associate-+r+_binary64`
94×	`distribute-rgt-in_binary64` `associate-*l/_binary64`
92×	`distribute-lft-in_binary64`
89×	`associate-l_binary64`
81×	`distribute-neg-in_binary64`
74×	`associate-/r/_binary64`
73×	`*-commutative_binary64`
69×	`associate-*r/_binary64`
48×	`neg-sub0_binary64`
45×	`neg-mul-1_binary64`
32×	`div-sub_binary64`
28×	`sqr-pow_binary64`
20×	`cancel-sign-sub-inv_binary64` `distribute-neg-frac_binary64` `associate-/l/_binary64`
15×	`distribute-rgt-neg-in_binary64`
11×	`distribute-lft-neg-in_binary64`
9×	`unpow3_binary64`
7×	`cube-mult_binary64`
6×	`cube-prod_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `swap-sqr_binary64` `associate--r-_binary64`
5×	`log-div_binary64` `distribute-rgt-out_binary64`
4×	`unpow2_binary64` `unpow1_binary64` `exp-prod_binary64` `cube-div_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `associate-+r-_binary64`
3×	`log-prod_binary64` `cube-unmult_binary64` `distribute-lft-neg-out_binary64` `associate-+l-_binary64`
2×	`exp-sum_binary64` `difference-of-squares_binary64`
1×	`div-exp_binary64` `exp-diff_binary64` `1-exp_binary64` `unsub-neg_binary64` `distribute-rgt-out--_binary64` `count-2_binary64` `associate--l-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow1/2_binary64` `pow-plus_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` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_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` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `unswap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64`

Counts

210 → 169

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	518	7464
1	1490	7342
2	5128	7342

prune137.0ms (1.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	169	0	169
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	169	4	173

Error

Counts

173 → 4

Compiler

Compiled 3616 to 1671 computations (53.8% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (*.f64 (/.f64 a (-.f64 (+.f64 t 1) z)) (-.f64 y z)))
0.0b	(/.f64 a (-.f64 (+.f64 t 1) z))
7.8b	(*.f64 (/.f64 a (-.f64 (+.f64 t 1) z)) (-.f64 y z))

rewrite156.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

66×	`*-un-lft-identity_binary64`
50×	`add-sqr-sqrt_binary64`
37×	`times-frac_binary64`
29×	`add-cube-cbrt_binary64`
24×	`associate-l_binary64`
15×	`distribute-lft-out--_binary64`
13×	`cancel-sign-sub-inv_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64` `difference-of-squares_binary64` `associate--r+_binary64`
7×	`distribute-lft-out_binary64`
6×	`associate-/r*_binary64`
5×	`pow1_binary64` `add-log-exp_binary64` `flip3--_binary64` `flip--_binary64` `sub-neg_binary64` `associate-r_binary64`
4×	`associate-/r/_binary64`
3×	`associate-/l*_binary64`
2×	`div-exp_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `frac-times_binary64` `unswap-sqr_binary64` `associate-*r/_binary64` `div-inv_binary64`
1×	`pow-prod-down_binary64` `associate-l/_binary64` `-commutative_binary64` `frac-2neg_binary64` `clear-num_binary64` `diff-log_binary64`

Counts

3 → 118

Calls

3 calls:

17.0ms	(*.f64 (/.f64 a (-.f64 (+.f64 t 1) z)) (-.f64 y z))
8.0ms	(/.f64 a (-.f64 (+.f64 t 1) z))
4.0ms	(-.f64 x (*.f64 (/.f64 a (-.f64 (+.f64 t 1) z)) (-.f64 y z)))

Compiler

Compiled 2438 to 1270 computations (47.9% saved)

series408.0ms (4.9%)

Error

Counts

3 → 91

Calls

3 calls:

162.0ms	(-.f64 x (*.f64 (/.f64 a (-.f64 (+.f64 t 1) z)) (-.f64 y z)))
127.0ms	(*.f64 (/.f64 a (-.f64 (+.f64 t 1) z)) (-.f64 y z))
53.0ms	(/.f64 a (-.f64 (+.f64 t 1) z))

Compiler

Compiled 6206 to 4187 computations (32.5% saved)

simplify135.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

330×	`associate-+r+_binary64`
282×	`times-frac_binary64`
280×	`associate-+l+_binary64`
247×	`associate-/l*_binary64`
187×	`associate--l+_binary64`
164×	`associate--r+_binary64`
150×	`associate-/r*_binary64`
140×	`+-commutative_binary64`
139×	`associate-r_binary64`
126×	`sub-neg_binary64`
124×	`associate-l_binary64`
120×	`associate-*l/_binary64`
98×	`distribute-rgt-in_binary64`
93×	`distribute-lft-in_binary64`
84×	`*-commutative_binary64`
79×	`associate-/l/_binary64`
73×	`associate-*r/_binary64`
67×	`associate-/r/_binary64`
65×	`distribute-neg-in_binary64`
52×	`neg-sub0_binary64`
49×	`neg-mul-1_binary64`
31×	`cancel-sign-sub-inv_binary64`
28×	`sqr-pow_binary64`
23×	`distribute-rgt-neg-in_binary64`
22×	`distribute-neg-frac_binary64`
16×	`distribute-lft-neg-in_binary64`
13×	`distribute-lft-neg-out_binary64`
11×	`div-sub_binary64`
9×	`unpow3_binary64` `distribute-rgt-neg-out_binary64`
7×	`cube-mult_binary64`
6×	`mul-1-neg_binary64` `difference-of-squares_binary64` `distribute-rgt-out_binary64` `associate-+r-_binary64`
5×	`log-div_binary64`
4×	`unpow2_binary64` `unpow1_binary64` `exp-prod_binary64` `cube-div_binary64` `cube-prod_binary64` `swap-sqr_binary64`
3×	`log-prod_binary64` `cube-unmult_binary64` `/-rgt-identity_binary64` `*-rgt-identity_binary64`
2×	`*-lft-identity_binary64`
1×	`div-exp_binary64` `exp-sum_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `unsub-neg_binary64` `count-2_binary64` `associate--r-_binary64` `associate-+l-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow1/2_binary64` `pow-plus_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` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `unswap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `associate--l-_binary64`

Counts

209 → 148

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	465	6688
1	1341	6580
2	5170	6580

prune106.0ms (1.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	148	4	152

Error

Counts

152 → 4

Compiler

Compiled 3068 to 1416 computations (53.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 1 (-.f64 t z)) a)
0.0b	(-.f64 (/.f64 y (/.f64 (+.f64 1 (-.f64 t z)) a)) (/.f64 z (/.f64 (+.f64 1 (-.f64 t z)) a)))
3.0b	(/.f64 y (/.f64 (+.f64 1 (-.f64 t z)) a))
7.6b	(/.f64 z (/.f64 (+.f64 1 (-.f64 t z)) a))

rewrite571.0ms (6.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

566×	`*-un-lft-identity_binary64`
509×	`times-frac_binary64`
239×	`add-sqr-sqrt_binary64`
203×	`add-cube-cbrt_binary64`
110×	`distribute-lft-out_binary64`
93×	`distribute-lft-out--_binary64`
62×	`cancel-sign-sub-inv_binary64`
41×	`associate-/r*_binary64`
19×	`div-inv_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`associate-/l*_binary64`
9×	`difference-of-squares_binary64`
7×	`div-exp_binary64` `cbrt-undiv_binary64`
6×	`add-log-exp_binary64`
5×	`associate-/r/_binary64`
4×	`pow1_binary64`
3×	`frac-2neg_binary64` `clear-num_binary64`
2×	`distribute-rgt-out--_binary64` `associate-/l/_binary64`
1×	`diff-log_binary64` `frac-sub_binary64` `sub-div_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `associate-+r-_binary64` `div-sub_binary64` `flip3-+_binary64` `flip-+_binary64`

Counts

4 → 350

Calls

4 calls:

176.0ms	(-.f64 (/.f64 y (/.f64 (+.f64 1 (-.f64 t z)) a)) (/.f64 z (/.f64 (+.f64 1 (-.f64 t z)) a)))
11.0ms	(/.f64 z (/.f64 (+.f64 1 (-.f64 t z)) a))
11.0ms	(/.f64 y (/.f64 (+.f64 1 (-.f64 t z)) a))
9.0ms	(/.f64 (+.f64 1 (-.f64 t z)) a)

Compiler

Compiled 8598 to 4261 computations (50.4% saved)

series417.0ms (5%)

Error

Counts

4 → 90

Calls

4 calls:

152.0ms	(-.f64 (/.f64 y (/.f64 (+.f64 1 (-.f64 t z)) a)) (/.f64 z (/.f64 (+.f64 1 (-.f64 t z)) a)))
77.0ms	(/.f64 y (/.f64 (+.f64 1 (-.f64 t z)) a))
65.0ms	(/.f64 z (/.f64 (+.f64 1 (-.f64 t z)) a))
37.0ms	(/.f64 (+.f64 1 (-.f64 t z)) a)

Compiler

Compiled 6792 to 4527 computations (33.3% saved)

simplify258.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

369×	`associate-/r/_binary64`
365×	`associate-*l/_binary64`
322×	`associate-/l*_binary64`
289×	`times-frac_binary64`
237×	`associate-/l/_binary64`
169×	`associate-/r*_binary64`
163×	`sub-neg_binary64`
128×	`neg-sub0_binary64`
124×	`neg-mul-1_binary64`
97×	`+-commutative_binary64`
92×	`distribute-neg-frac_binary64`
86×	`distribute-rgt-neg-in_binary64`
85×	`*-commutative_binary64`
79×	`distribute-lft-neg-out_binary64`
66×	`distribute-rgt-in_binary64`
61×	`distribute-lft-in_binary64`
56×	`cancel-sign-sub-inv_binary64` `associate-*r/_binary64`
55×	`associate-+r+_binary64`
54×	`div-sub_binary64`
44×	`distribute-neg-in_binary64`
42×	`distribute-lft-neg-in_binary64`
36×	`distribute-rgt-neg-out_binary64`
25×	`sqr-pow_binary64`
20×	`associate--l+_binary64`
13×	`associate--r+_binary64`
12×	`distribute-rgt-out--_binary64`
11×	`/-rgt-identity_binary64`
10×	`associate-r_binary64`
9×	`mul-1-neg_binary64`
8×	`unpow3_binary64`
7×	`cube-div_binary64`
6×	`log-div_binary64` `cube-mult_binary64` `distribute-rgt-out_binary64`
5×	`swap-sqr_binary64` `associate-l_binary64`
4×	`unpow2_binary64` `unpow1_binary64` `-rgt-identity_binary64` `-lft-identity_binary64`
3×	`cube-unmult_binary64` `unsub-neg_binary64` `associate--r-_binary64`
2×	`log-prod_binary64` `exp-prod_binary64` `cube-prod_binary64` `remove-double-div_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `distribute-lft-out--_binary64` `associate-+r-_binary64`
1×	`div-exp_binary64` `exp-diff_binary64` `exp-sum_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow1/2_binary64` `pow-plus_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` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_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` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+l+_binary64`

Counts

440 → 403

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	615	13417
1	1787	13022
2	5005	13022

prune313.0ms (3.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	403	0	403
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	403	4	407

Error

Counts

407 → 4

Compiler

Compiled 8693 to 4436 computations (49% saved)

regimes1.6s (19.6%)

Accuracy

Total 0.3b remaining (95.6%)

Threshold costs 0.3b (95.6%)

Compiler

Compiled 22822 to 18748 computations (17.9% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative_binary64`
9×	`sub-neg_binary64`
8×	`cancel-sign-sub-inv_binary64`
7×	`neg-mul-1_binary64` `neg-sub0_binary64` `*-commutative_binary64`
6×	`distribute-neg-in_binary64`
5×	`distribute-rgt-neg-in_binary64`
3×	`distribute-lft-neg-in_binary64`
2×	`unsub-neg_binary64` `distribute-lft-neg-out_binary64`
1×	`1-exp_binary64` `remove-double-neg_binary64` `distribute-neg-frac_binary64` `distribute-rgt-neg-out_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	19
1	25	19
2	40	19
3	54	19
4	73	19
5	81	19
6	82	19
7	78	19

end1.0ms (0%)

Compiler: Compiled 13 to 12 computations (7.7% saved)

sample885.0ms (10.5%)

Algorithm

1×

intervals

Results

348.0ms	7997×	body	128	valid
25.0ms	506×	body	128	invalid
0.0ms	3×	body	1024	valid

Compiler

Compiled 110 to 115 computations (-4.5% saved)

Details

analyze1.2s (14.1%)

sample25.0ms (0.3%)

simplify96.0ms (1.1%)

prune1.0ms (0%)

localize10.0ms (0.1%)

rewrite380.0ms (4.5%)

series392.0ms (4.7%)

simplify316.0ms (3.8%)

prune206.0ms (2.4%)

localize12.0ms (0.1%)

rewrite134.0ms (1.6%)

series452.0ms (5.4%)

simplify144.0ms (1.7%)

prune137.0ms (1.6%)

localize10.0ms (0.1%)

rewrite156.0ms (1.9%)

series408.0ms (4.9%)

simplify135.0ms (1.6%)

prune106.0ms (1.3%)

localize11.0ms (0.1%)

rewrite571.0ms (6.8%)

series417.0ms (5%)

simplify258.0ms (3.1%)

prune313.0ms (3.7%)

regimes1.6s (19.6%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end1.0ms (0%)

sample885.0ms (10.5%)

Profiling