Details

analyze373.0ms (5.3%)

Algorithm

1×

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%	68.6%	31.4%	5
0%	65.5%	34.5%	6
0%	59.2%	40.8%	7
0%	51.4%	48.6%	8
0%	41.3%	58.7%	9
0%	28.4%	71.6%	10
2.3%	22.3%	75.4%	11
2.3%	21%	76.7%	12
2.7%	18%	79.3%	13
2.7%	16.4%	80.8%	14

Compiler

Compiled 17 to 16 computations (5.9% saved)

sample46.0ms (0.6%)

Algorithm

1×

intervals

Results

20.0ms	256×	body	128	valid
10.0ms	153×	body	128	nan

Compiler

Compiled 33 to 36 computations (-9.1% saved)

simplify260.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	1362	25
1	1362	25

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.3b

Counts

2 → 1

Compiler

Compiled 32 to 30 computations (6.3% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
0.1b	(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a 1/2) (log.f64 t)))
0.2b	(*.f64 (-.f64 a 1/2) (log.f64 t))
0.6b	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

rewrite52.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`*-un-lft-identity_binary64_11087`
20×	`add-sqr-sqrt_binary64_11109`
19×	`log-prod_binary64_11173`
15×	`pow1_binary64_11148`
14×	`add-log-exp_binary64_11126` `add-cube-cbrt_binary64_11122`
9×	`distribute-lft-out_binary64_11038` `log-pow_binary64_11176` `associate-+l+_binary64_11020` `associate-+r+_binary64_11019`
6×	`flip--_binary64_11062` `distribute-lft-out--_binary64_11039` `add-cbrt-cube_binary64_11123` `add-exp-log_binary64_11125` `associate-*l/_binary64_11030` `distribute-rgt-in_binary64_11037` `sum-log_binary64_11178` `distribute-lft-in_binary64_11036` `flip3--_binary64_11091` `cancel-sign-sub-inv_binary64_11053`
5×	`associate-l_binary64_11028` `associate-+l-_binary64_11022`
4×	`diff-log_binary64_11179` `log-div_binary64_11174` `flip-+_binary64_11061` `associate-r_binary64_11027` `flip3-+_binary64_11090` `frac-add_binary64_11095`
2×	`difference-of-squares_binary64_11056` `associate--l+_binary64_11024` `sub-neg_binary64_11080` `+-commutative_binary64_11017` `associate--l-_binary64_11025`
1×	`pow-prod-down_binary64_11158` `cbrt-unprod_binary64_11120` `unswap-sqr_binary64_11055` `prod-exp_binary64_11136` `*-commutative_binary64_11018`

Counts

4 → 106

Calls

4 calls:

15.0ms	(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a 1/2) (log.f64 t)))
10.0ms	(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
8.0ms	(*.f64 (-.f64 a 1/2) (log.f64 t))
8.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

series763.0ms (10.8%)

Counts

4 → 12

Calls

4 calls:

356.0ms	(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a 1/2) (log.f64 t)))
235.0ms	(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
102.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
68.0ms	(*.f64 (-.f64 a 1/2) (log.f64 t))

simplify70.0ms (1%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4978	2455
1	4978	2455

prune534.0ms (7.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	110	8	118
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	110	9	119

Merged error: 0.0b

Counts

119 → 9

Compiler

Compiled 9276 to 6280 computations (32.3% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t)
0.1b	(+.f64 (log.f64 (+.f64 x y)) (+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t)))
0.1b	(+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t))
0.2b	(*.f64 (-.f64 a 1/2) (log.f64 t))

rewrite56.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64_11087`
25×	`log-prod_binary64_11173`
20×	`add-sqr-sqrt_binary64_11109`
16×	`add-cube-cbrt_binary64_11122`
13×	`add-log-exp_binary64_11126` `pow1_binary64_11148` `distribute-lft-out_binary64_11038`
12×	`associate--l+_binary64_11024`
11×	`associate-+r+_binary64_11019`
9×	`distribute-rgt-in_binary64_11037` `distribute-lft-in_binary64_11036`
7×	`sum-log_binary64_11178` `log-pow_binary64_11176` `associate-+l+_binary64_11020`
6×	`add-cbrt-cube_binary64_11123` `add-exp-log_binary64_11125` `cancel-sign-sub-inv_binary64_11053`
5×	`associate-l_binary64_11028`
4×	`associate-r_binary64_11027`
3×	`diff-log_binary64_11179` `flip-+_binary64_11061` `associate-+r-_binary64_11021` `flip3-+_binary64_11090`
2×	`flip--_binary64_11062` `log-div_binary64_11174` `associate-*l/_binary64_11030` `sub-neg_binary64_11080` `+-commutative_binary64_11017` `flip3--_binary64_11091` `associate-+l-_binary64_11022`
1×	`difference-of-squares_binary64_11056` `distribute-lft-out--_binary64_11039` `pow-prod-down_binary64_11158` `cbrt-unprod_binary64_11120` `unswap-sqr_binary64_11055` `prod-exp_binary64_11136` `*-commutative_binary64_11018`

Counts

4 → 104

Calls

4 calls:

15.0ms	(+.f64 (log.f64 (+.f64 x y)) (+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t)))
11.0ms	(-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t)
11.0ms	(+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t))
8.0ms	(*.f64 (-.f64 a 1/2) (log.f64 t))

series632.0ms (9%)

Counts

4 → 12

Calls

4 calls:

353.0ms	(+.f64 (log.f64 (+.f64 x y)) (+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t)))
146.0ms	(+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t))
72.0ms	(*.f64 (-.f64 a 1/2) (log.f64 t))
61.0ms	(-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t)

simplify53.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5120	2313

prune151.0ms (2.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	0	7	7
Picked	1	0	1
Done	1	0	1
Total	117	8	125

Merged error: 0.0b

Counts

125 → 8

Compiler

Compiled 3051 to 1554 computations (49.1% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(+.f64 (log.f64 (sqrt.f64 z)) (+.f64 (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t) (log.f64 (sqrt.f64 z))))
0.1b	(+.f64 (log.f64 (+.f64 x y)) (+.f64 (log.f64 (sqrt.f64 z)) (+.f64 (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t) (log.f64 (sqrt.f64 z)))))
0.1b	(+.f64 (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t) (log.f64 (sqrt.f64 z)))
0.2b	(*.f64 (-.f64 a 1/2) (log.f64 t))

rewrite76.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

65×	`*-un-lft-identity_binary64_11087`
47×	`distribute-lft-out_binary64_11038`
30×	`pow1_binary64_11148`
28×	`log-prod_binary64_11173`
24×	`log-pow_binary64_11176`
20×	`add-sqr-sqrt_binary64_11109` `associate-+l+_binary64_11020`
16×	`add-log-exp_binary64_11126` `add-cube-cbrt_binary64_11122` `sum-log_binary64_11178`
8×	`associate-+r+_binary64_11019`
6×	`add-cbrt-cube_binary64_11123` `associate--l+_binary64_11024` `add-exp-log_binary64_11125` `distribute-rgt-in_binary64_11037` `distribute-lft-in_binary64_11036` `sqrt-prod_binary64_11103`
5×	`associate-l_binary64_11028` `associate-+l-_binary64_11022`
4×	`flip-+_binary64_11061` `associate-r_binary64_11027` `flip3-+_binary64_11090`
3×	`diff-log_binary64_11179` `+-commutative_binary64_11017` `associate-+r-_binary64_11021` `cancel-sign-sub-inv_binary64_11053`
2×	`log-div_binary64_11174` `associate-*l/_binary64_11030`
1×	`difference-of-squares_binary64_11056` `flip--_binary64_11062` `distribute-lft-out--_binary64_11039` `pow-prod-down_binary64_11158` `cbrt-unprod_binary64_11120` `sub-neg_binary64_11080` `unswap-sqr_binary64_11055` `prod-exp_binary64_11136` `flip3--_binary64_11091` `*-commutative_binary64_11018`

Counts

4 → 123

Calls

4 calls:

21.0ms	(+.f64 (log.f64 (+.f64 x y)) (+.f64 (log.f64 (sqrt.f64 z)) (+.f64 (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t) (log.f64 (sqrt.f64 z)))))
18.0ms	(+.f64 (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t) (log.f64 (sqrt.f64 z)))
15.0ms	(+.f64 (log.f64 (sqrt.f64 z)) (+.f64 (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t) (log.f64 (sqrt.f64 z))))
9.0ms	(*.f64 (-.f64 a 1/2) (log.f64 t))

series781.0ms (11.1%)

Counts

4 → 12

Calls

4 calls:

421.0ms	(+.f64 (log.f64 (+.f64 x y)) (+.f64 (log.f64 (sqrt.f64 z)) (+.f64 (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t) (log.f64 (sqrt.f64 z)))))
169.0ms	(+.f64 (log.f64 (sqrt.f64 z)) (+.f64 (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t) (log.f64 (sqrt.f64 z))))
118.0ms	(+.f64 (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t) (log.f64 (sqrt.f64 z)))
72.0ms	(*.f64 (-.f64 a 1/2) (log.f64 t))

simplify84.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4937	3453
1	4937	3453

prune163.0ms (2.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	135	8	143

Merged error: 0.0b

Counts

143 → 8

Compiler

Compiled 3814 to 1625 computations (57.4% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (log.f64 z) (log.f64 z))
0.5b	(-.f64 (log.f64 (+.f64 x y)) (log.f64 z))
0.5b	(*.f64 (log.f64 (+.f64 x y)) (log.f64 (+.f64 x y)))
0.6b	(-.f64 (.f64 (log.f64 (+.f64 x y)) (log.f64 (+.f64 x y))) (.f64 (log.f64 z) (log.f64 z)))

rewrite47.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`*-un-lft-identity_binary64_11087`
35×	`log-prod_binary64_11173` `pow1_binary64_11148`
29×	`add-sqr-sqrt_binary64_11109`
23×	`add-cube-cbrt_binary64_11122`
17×	`log-pow_binary64_11176`
14×	`distribute-rgt-in_binary64_11037` `distribute-lft-in_binary64_11036`
12×	`associate--l+_binary64_11024` `swap-sqr_binary64_11054`
9×	`associate--r+_binary64_11023`
8×	`add-cbrt-cube_binary64_11123` `associate-l_binary64_11028` `add-exp-log_binary64_11125` `associate-r_binary64_11027`
6×	`add-log-exp_binary64_11126`
5×	`distribute-lft-out_binary64_11038` `cancel-sign-sub-inv_binary64_11053`
4×	`distribute-lft-out--_binary64_11039`
2×	`diff-log_binary64_11179` `difference-of-squares_binary64_11056` `flip--_binary64_11062` `pow-prod-down_binary64_11158` `pow2_binary64_11168` `log-div_binary64_11174` `pow-plus_binary64_11150` `cbrt-unprod_binary64_11120` `pow-sqr_binary64_11060` `sub-neg_binary64_11080` `unswap-sqr_binary64_11055` `prod-exp_binary64_11136` `flip3--_binary64_11091` `associate--l-_binary64_11025` `*-commutative_binary64_11018` `pow-prod-up_binary64_11157`
1×	`flip-+_binary64_11061` `flip3-+_binary64_11090`

Counts

4 → 130

Calls

4 calls:

8.0ms	(-.f64 (log.f64 (+.f64 x y)) (log.f64 z))
8.0ms	(-.f64 (.f64 (log.f64 (+.f64 x y)) (log.f64 (+.f64 x y))) (.f64 (log.f64 z) (log.f64 z)))
8.0ms	(*.f64 (log.f64 (+.f64 x y)) (log.f64 (+.f64 x y)))
5.0ms	(*.f64 (log.f64 z) (log.f64 z))

series677.0ms (9.6%)

Counts

4 → 12

Calls

4 calls:

251.0ms	(-.f64 (.f64 (log.f64 (+.f64 x y)) (log.f64 (+.f64 x y))) (.f64 (log.f64 z) (log.f64 z)))
208.0ms	(*.f64 (log.f64 (+.f64 x y)) (log.f64 (+.f64 x y)))
120.0ms	(*.f64 (log.f64 z) (log.f64 z))
97.0ms	(-.f64 (log.f64 (+.f64 x y)) (log.f64 z))

simplify107.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4890	1898
1	4890	1898

prune187.0ms (2.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	142	8	150

Merged error: 0.0b

Counts

150 → 8

Compiler

Compiled 5021 to 1466 computations (70.8% saved)

regimes263.0ms (3.7%)

Compiler: Compiled 2350 to 1977 computations (15.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	34
1	41	34

end0.0ms (0%)

sample1.6s (22.5%)

Algorithm

1×

intervals

Results

641.0ms	8000×	body	128	valid
291.0ms	4238×	body	128	nan
2.0ms	21×	body	128	invalid

Compiler

Compiled 253 to 212 computations (16.2% saved)

Details

analyze373.0ms (5.3%)

sample46.0ms (0.6%)

simplify260.0ms (3.7%)

prune3.0ms (0%)

localize14.0ms (0.2%)

rewrite52.0ms (0.7%)

series763.0ms (10.8%)

simplify70.0ms (1%)

prune534.0ms (7.6%)

localize15.0ms (0.2%)

rewrite56.0ms (0.8%)

series632.0ms (9%)

simplify53.0ms (0.8%)

prune151.0ms (2.1%)

localize17.0ms (0.2%)

rewrite76.0ms (1.1%)

series781.0ms (11.1%)

simplify84.0ms (1.2%)

prune163.0ms (2.3%)

localize22.0ms (0.3%)

rewrite47.0ms (0.7%)

series677.0ms (9.6%)

simplify107.0ms (1.5%)

prune187.0ms (2.7%)

regimes263.0ms (3.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.6s (22.5%)

Profiling