Details

analyze2.1s (17.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5719	148
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	49.9%	50.1%	0
0%	49.9%	50.1%	1
0%	49.9%	50.1%	2
0%	49.9%	50.1%	3
0%	49.9%	50.1%	4
0%	49.9%	50.1%	5
0%	49.9%	50.1%	6
0%	49.9%	50.1%	7
0%	49.9%	50.1%	8
0.4%	49.5%	50.1%	9
0.4%	49.3%	50.3%	10
0.6%	48.9%	50.5%	11
1.1%	48.1%	50.9%	12
1.5%	47.3%	51.2%	13
1.7%	46.9%	51.5%	14

Symmetry

(sort a b)

Compiler

Compiled 31 to 24 computations (22.6% saved)

sample197.0ms (1.7%)

Algorithm

1×

intervals

Results

112.0ms	137×	body	2048	valid
28.0ms	73×	body	1024	valid
6.0ms	308×	pre	128	true
5.0ms	18×	body	1024	overflowed
5.0ms	21×	body	512	valid
5.0ms	10×	body	2048	overflowed
2.0ms	8×	body	512	overflowed
1.0ms	9×	body	256	valid
1.0ms	16×	body	128	valid
1.0ms	6×	body	256	overflowed
1.0ms	10×	body	128	overflowed

Compiler

Compiled 55 to 46 computations (16.4% saved)

simplify24.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5217	37

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

60.4b

Counts

2 → 1

Compiler

Compiled 48 to 38 computations (20.8% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.5b	(.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1))
3.3b	(-.f64 (exp.f64 (*.f64 a eps)) 1)
3.6b	(-.f64 (exp.f64 (*.f64 b eps)) 1)
5.5b	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)

rewrite162.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

60.4b

Rules

33×	`add-sqr-sqrt_binary64_441`
26×	`*-un-lft-identity_binary64_419`
15×	`cancel-sign-sub-inv_binary64_385`
11×	`add-cube-cbrt_binary64_454`
10×	`add-log-exp_binary64_458` `difference-of-squares_binary64_388`
9×	`flip3--_binary64_423` `flip--_binary64_394`
7×	`associate-l_binary64_360` `associate-r_binary64_359`
6×	`pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
5×	`sub-neg_binary64_412` `difference-of-sqr-1_binary64_389` `distribute-lft-out--_binary64_371`
4×	`frac-times_binary64_429` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368`
3×	`diff-log_binary64_511`
2×	`associate-l/_binary64_362` `associate-r/_binary64_361`
1×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387` `*-commutative_binary64_350`

Counts

4 → 96

Calls

4 calls:

12.0ms	(.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1))
9.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
4.0ms	(-.f64 (exp.f64 (*.f64 b eps)) 1)
4.0ms	(-.f64 (exp.f64 (*.f64 a eps)) 1)

Compiler

Compiled 3325 to 1407 computations (57.7% saved)

series372.0ms (3.2%)

Error

48.1b

Counts

4 → 39

Calls

4 calls:

157.0ms	(.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1))
69.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
55.0ms	(-.f64 (exp.f64 (*.f64 a eps)) 1)
47.0ms	(-.f64 (exp.f64 (*.f64 b eps)) 1)

Compiler

Compiled 3024 to 1954 computations (35.4% saved)

simplify69.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5234	2449

prune159.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	132	3	135
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	132	4	136

Error

48.0b

Counts

136 → 4

Compiler

Compiled 4057 to 1648 computations (59.4% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.8b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (.f64 b (+.f64 eps (.f64 b (.f64 1/2 (.f64 eps eps)))))))
3.3b	(-.f64 (exp.f64 (*.f64 a eps)) 1)
5.5b	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
8.0b	(.f64 b (.f64 1/2 (*.f64 eps eps)))

rewrite190.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

48.0b

Rules

34×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
15×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452` `add-sqr-sqrt_binary64_441`
13×	`pow1_binary64_480` `*-un-lft-identity_binary64_419`
10×	`associate-*r/_binary64_361`
8×	`add-log-exp_binary64_458` `associate-/r/_binary64_365`
7×	`add-cube-cbrt_binary64_454`
6×	`pow-prod-down_binary64_490` `flip3--_binary64_423` `flip--_binary64_394` `cancel-sign-sub-inv_binary64_385` `div-exp_binary64_470` `cbrt-undiv_binary64_453`
4×	`difference-of-squares_binary64_388` `frac-times_binary64_429`
3×	`associate-l_binary64_360` `flip3-+_binary64_422` `flip-+_binary64_393`
2×	`diff-log_binary64_511` `sub-neg_binary64_412` `difference-of-sqr-1_binary64_389` `distribute-lft-out--_binary64_371` `associate-/l/_binary64_366` `associate-*l/_binary64_362`
1×	`associate-r_binary64_359` `-commutative_binary64_350` `frac-2neg_binary64_430` `times-frac_binary64_425` `clear-num_binary64_418` `div-inv_binary64_416` `associate-/l_binary64_364` `associate-/r*_binary64_363`

Counts

4 → 92

Calls

4 calls:

21.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (.f64 b (+.f64 eps (.f64 b (.f64 1/2 (.f64 eps eps)))))))
8.0ms	(.f64 b (.f64 1/2 (*.f64 eps eps)))
5.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
4.0ms	(-.f64 (exp.f64 (*.f64 a eps)) 1)

Compiler

Compiled 3999 to 1763 computations (55.9% saved)

series1.2s (10%)

Error

0.3b

Counts

4 → 39

Calls

4 calls:

898.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (.f64 b (+.f64 eps (.f64 b (.f64 1/2 (.f64 eps eps)))))))
83.0ms	(.f64 b (.f64 1/2 (*.f64 eps eps)))
81.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
55.0ms	(-.f64 (exp.f64 (*.f64 a eps)) 1)

Compiler

Compiled 5113 to 3212 computations (37.2% saved)

simplify89.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4958	3598
1	4958	3598

prune177.0ms (1.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	128	3	131
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	129	6	135

Error

0.2b

Counts

135 → 6

Compiler

Compiled 4803 to 2088 computations (56.5% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

15.4b

(/.f64 (+.f64 b a) (*.f64 b a))

rewrite26.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`*-un-lft-identity_binary64_419`
6×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
4×	`times-frac_binary64_425` `associate-/l*_binary64_364`
3×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
2×	`div-exp_binary64_470` `cbrt-undiv_binary64_453` `distribute-lft-out_binary64_370` `associate-/l/_binary64_366`
1×	`pow1_binary64_480` `prod-exp_binary64_468` `add-log-exp_binary64_458` `cbrt-unprod_binary64_452` `frac-2neg_binary64_430` `clear-num_binary64_418` `div-inv_binary64_416` `flip3-+_binary64_422` `flip-+_binary64_393` `associate-/r*_binary64_363`

Counts

1 → 25

Calls

1 calls:

7.0ms

(/.f64 (+.f64 b a) (*.f64 b a))

Compiler

Compiled 342 to 92 computations (73.1% saved)

series109.0ms (0.9%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

102.0ms

(/.f64 (+.f64 b a) (*.f64 b a))

Compiler

Compiled 162 to 171 computations (-5.6% saved)

simplify51.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5070	408

prune25.0ms (0.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	35	2	37
Fresh	3	0	3
Picked	0	1	1
Done	0	2	2
Total	38	5	43

Error

Counts

43 → 5

Compiler

Compiled 369 to 135 computations (63.4% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (/.f64 1 b) (/.f64 1 a))

rewrite29.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`*-un-lft-identity_binary64_419`
7×	`distribute-lft-out_binary64_370`
6×	`times-frac_binary64_425`
4×	`div-inv_binary64_416`
3×	`add-log-exp_binary64_458` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
1×	`sum-log_binary64_510` `pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `frac-add_binary64_427` `flip3-+_binary64_422` `flip-+_binary64_393` `+-commutative_binary64_349`

Counts

1 → 19

Calls

1 calls:

13.0ms

(+.f64 (/.f64 1 b) (/.f64 1 a))

Compiler

Compiled 267 to 210 computations (21.3% saved)

series64.0ms (0.5%)

Error

Counts

1 → 12

Calls

1 calls:

59.0ms

(+.f64 (/.f64 1 b) (/.f64 1 a))

Compiler

Compiled 162 to 171 computations (-5.6% saved)

simplify82.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4871	341
1	4871	341

prune18.0ms (0.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	31	5	36

Error

Counts

36 → 5

Compiler

Compiled 294 to 224 computations (23.8% saved)

regimes384.0ms (3.3%)

Accuracy

Total 0.2b remaining (68.7%)

Threshold costs 0.2b (68.7%)

Compiler

Compiled 4710 to 3292 computations (30.1% saved)

bsearch5.0ms (0%)

Compiler: Compiled 24 to 19 computations (20.8% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	52	133
1	52	133

Remove

(sort a b)

Compiler

Compiled 172 to 98 computations (43% saved)

end0.0ms (0%)

sample6.3s (53.2%)

Algorithm

1×

intervals

Results

3.1s	4108×	body	2048	valid
932.0ms	2406×	body	1024	valid
202.0ms	9566×	pre	128	true
169.0ms	723×	body	512	valid
166.0ms	551×	body	1024	overflowed
165.0ms	349×	body	2048	overflowed
51.0ms	258×	body	512	overflowed
41.0ms	525×	body	128	valid
33.0ms	229×	body	256	valid
18.0ms	142×	body	256	overflowed
18.0ms	266×	body	128	overflowed
13.0ms	9×	body	4096	valid

Compiler

Compiled 1288 to 891 computations (30.8% saved)

Details

analyze2.1s (17.5%)

sample197.0ms (1.7%)

simplify24.0ms (0.2%)

prune3.0ms (0%)

localize16.0ms (0.1%)

rewrite162.0ms (1.4%)

series372.0ms (3.2%)

simplify69.0ms (0.6%)

prune159.0ms (1.3%)

localize18.0ms (0.2%)

rewrite190.0ms (1.6%)

series1.2s (10%)

simplify89.0ms (0.7%)

prune177.0ms (1.5%)

localize4.0ms (0%)

rewrite26.0ms (0.2%)

series109.0ms (0.9%)

simplify51.0ms (0.4%)

prune25.0ms (0.2%)

localize4.0ms (0%)

rewrite29.0ms (0.2%)

series64.0ms (0.5%)

simplify82.0ms (0.7%)

prune18.0ms (0.2%)

regimes384.0ms (3.3%)

bsearch5.0ms (0%)

simplify14.0ms (0.1%)

end0.0ms (0%)

sample6.3s (53.2%)

Profiling