Details

analyze122.0ms (3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	461	10
1	461	10
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	50%	0%	3
87.5%	12.5%	0%	4
93.7%	6.2%	0%	5
96.8%	3.1%	0%	6
98.4%	1.6%	0%	7
99.2%	0.8%	0%	8
99.6%	0.4%	0%	9
99.8%	0.2%	0%	10
99.9%	0.1%	0%	11
99.9%	0%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample12.0ms (0.3%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify35.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	461	10
1	461	10

prune2.0ms (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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (+.f64 x 1) (-.f64 1 x))

rewrite66.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

42×	`*-un-lft-identity_binary64_760`
28×	`add-sqr-sqrt_binary64_782`
24×	`times-frac_binary64_766`
13×	`add-cube-cbrt_binary64_795`
10×	`difference-of-squares_binary64_729`
7×	`distribute-lft-out_binary64_711`
6×	`associate-/r*_binary64_704`
5×	`distribute-lft-out--_binary64_712`
4×	`associate-/l*_binary64_705`
3×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
2×	`associate-/l/_binary64_707` `associate-/r/_binary64_706`
1×	`pow1_binary64_821` `div-exp_binary64_811` `add-log-exp_binary64_799` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757` `flip3-+_binary64_763` `flip-+_binary64_734` `flip3--_binary64_764` `flip--_binary64_735`

Counts

1 → 50

Calls

1 calls:

12.0ms

(/.f64 (+.f64 x 1) (-.f64 1 x))

Compiler

Compiled 800 to 609 computations (23.9% saved)

series40.0ms (1%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

30.0ms

(/.f64 (+.f64 x 1) (-.f64 1 x))

Compiler

Compiled 264 to 241 computations (8.7% saved)

simplify59.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4954	1035
1	4954	1035

prune54.0ms (1.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	60	2	62
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	61	2	63

Error

Counts

63 → 2

Compiler

Compiled 863 to 644 computations (25.4% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
0.0b	(exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite187.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

115×	`*-un-lft-identity_binary64_760`
77×	`add-sqr-sqrt_binary64_782`
72×	`times-frac_binary64_766`
60×	`exp-prod_binary64_812`
38×	`add-cube-cbrt_binary64_795`
31×	`log-pow_binary64_849`
26×	`difference-of-squares_binary64_729`
19×	`distribute-lft-out_binary64_711`
13×	`distribute-lft-out--_binary64_712`
6×	`associate-/r/_binary64_706` `associate-/r*_binary64_704`
5×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
4×	`pow1_binary64_821` `add-log-exp_binary64_799` `associate-/l*_binary64_705`
3×	`div-inv_binary64_757` `flip3--_binary64_764` `flip--_binary64_735` `log-prod_binary64_846`
2×	`associate-/l/_binary64_707`
1×	`rem-exp-log_binary64_800` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759` `flip3-+_binary64_763` `flip-+_binary64_734` `rem-log-exp_binary64_801`

Counts

3 → 130

Calls

3 calls:

13.0ms	(exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
12.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
8.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

Compiler

Compiled 2426 to 1915 computations (21.1% saved)

series155.0ms (3.8%)

Error

Counts

3 → 36

Calls

3 calls:

50.0ms	(exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
44.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
31.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

Compiler

Compiled 936 to 848 computations (9.4% saved)

simplify80.0ms (2%)

Algorithm

1×	egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5326	2446

prune153.0ms (3.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	166	0	166
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	166	2	168

Error

Counts

168 → 2

Compiler

Compiled 2563 to 1972 computations (23.1% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
0.0b	(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))

rewrite972.0ms (23.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

383×	`*-un-lft-identity_binary64_760`
225×	`add-sqr-sqrt_binary64_782`
222×	`times-frac_binary64_766`
180×	`cbrt-prod_binary64_791`
96×	`add-cube-cbrt_binary64_795`
70×	`difference-of-squares_binary64_729`
65×	`distribute-lft-out_binary64_711`
57×	`swap-sqr_binary64_727`
47×	`distribute-lft-out--_binary64_712`
33×	`associate-l_binary64_701` `associate-r_binary64_700`
18×	`associate-/r*_binary64_704`
14×	`associate-/r/_binary64_706`
12×	`add-exp-log_binary64_798` `associate-/l*_binary64_705`
11×	`pow1_binary64_821`
10×	`add-cbrt-cube_binary64_796`
9×	`unswap-sqr_binary64_728`
7×	`div-inv_binary64_757` `flip3--_binary64_764` `flip--_binary64_735`
6×	`pow1/3_binary64_842` `associate-/l/_binary64_707`
4×	`add-log-exp_binary64_799` `cbrt-div_binary64_792`
3×	`div-exp_binary64_811` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759` `flip3-+_binary64_763` `flip-+_binary64_734`
2×	`pow-prod-down_binary64_831` `pow-prod-up_binary64_830` `pow-sqr_binary64_733`
1×	`pow2_binary64_841` `pow-plus_binary64_823` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `frac-times_binary64_770` `associate-l/_binary64_703` `associate-r/_binary64_702` `*-commutative_binary64_691`

Counts

4 → 303

Calls

4 calls:

43.0ms	(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
11.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
8.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
8.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

Compiler

Compiled 11448 to 8967 computations (21.7% saved)

series242.0ms (6%)

Error

Counts

4 → 48

Calls

4 calls:

58.0ms	(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
41.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
40.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
38.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

Compiler

Compiled 2628 to 2197 computations (16.4% saved)

simplify132.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

351 → 351

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5402	8376

prune981.0ms (24.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	351	0	351
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	351	2	353

Error

Counts

353 → 2

Compiler

Compiled 11743 to 9107 computations (22.4% saved)

regimes70.0ms (1.7%)

Accuracy

Total 0.0b remaining (94.1%)

Threshold costs 0.0b (94.1%)

Compiler

Compiled 601 to 515 computations (14.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	14
1	19	14

end0.0ms (0%)

sample681.0ms (16.7%)

Algorithm

1×

intervals

Results

172.0ms

8000×

body

128

valid

Compiler

Compiled 272 to 234 computations (14% saved)

Details

analyze122.0ms (3%)

sample12.0ms (0.3%)

simplify35.0ms (0.9%)

prune2.0ms (0%)

localize4.0ms (0.1%)

rewrite66.0ms (1.6%)

series40.0ms (1%)

simplify59.0ms (1.5%)

prune54.0ms (1.3%)

localize7.0ms (0.2%)

rewrite187.0ms (4.6%)

series155.0ms (3.8%)

simplify80.0ms (2%)

prune153.0ms (3.8%)

localize8.0ms (0.2%)

rewrite972.0ms (23.9%)

series242.0ms (6%)

simplify132.0ms (3.3%)

prune981.0ms (24.1%)

regimes70.0ms (1.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample681.0ms (16.7%)

Profiling