Details

analyze1.7s (14.1%)

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

Compiler

Compiled 31 to 24 computations (22.6% saved)

sample187.0ms (1.5%)

Algorithm

1×

intervals

Results

93.0ms	120×	body	2048	valid
32.0ms	87×	body	1024	valid
6.0ms	321×	pre	128	true
6.0ms	13×	body	2048	overflowed
6.0ms	19×	body	1024	overflowed
4.0ms	19×	body	512	valid
4.0ms	2×	body	4096	valid
2.0ms	12×	body	512	overflowed
1.0ms	22×	body	128	valid
1.0ms	14×	body	128	overflowed
1.0ms	7×	body	256	overflowed
1.0ms	6×	body	256	valid

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

60.3b

Counts

2 → 1

Compiler

Compiled 48 to 38 computations (20.8% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1))
2.5b	(-.f64 (exp.f64 (*.f64 b eps)) 1)
2.7b	(-.f64 (exp.f64 (*.f64 a eps)) 1)
3.2b	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)

rewrite177.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

60.3b

Rules

33×	`add-sqr-sqrt_binary64_1464`
26×	`*-un-lft-identity_binary64_1442`
15×	`cancel-sign-sub-inv_binary64_1408`
11×	`add-cube-cbrt_binary64_1477`
10×	`add-log-exp_binary64_1481` `difference-of-squares_binary64_1411`
9×	`flip3--_binary64_1446` `flip--_binary64_1417`
7×	`associate-l_binary64_1383` `associate-r_binary64_1382`
6×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
5×	`sub-neg_binary64_1435` `difference-of-sqr-1_binary64_1412` `distribute-lft-out--_binary64_1394`
4×	`frac-times_binary64_1452` `distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391`
3×	`diff-log_binary64_1534`
2×	`associate-l/_binary64_1385` `associate-r/_binary64_1384`
1×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `unswap-sqr_binary64_1410` `*-commutative_binary64_1373`

Counts

4 → 96

Calls

4 calls:

12.0ms	(.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1))
5.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
5.0ms	(-.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)

series417.0ms (3.4%)

Error

49.2b

Counts

4 → 42

Calls

4 calls:

185.0ms	(.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1))
73.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
55.0ms	(-.f64 (exp.f64 (*.f64 b eps)) 1)
45.0ms	(-.f64 (exp.f64 (*.f64 a eps)) 1)

Compiler

Compiled 3446 to 2258 computations (34.5% saved)

simplify59.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5302	2710

prune188.0ms (1.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	129	9	138
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	130	9	139

Error

49.1b

Counts

139 → 9

Compiler

Compiled 4492 to 1942 computations (56.8% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (*.f64 (+.f64 a b) eps))
1.8b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (.f64 eps a) (-.f64 (exp.f64 (*.f64 b eps)) 1)))
2.5b	(-.f64 (exp.f64 (*.f64 b eps)) 1)
3.2b	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)

rewrite130.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

49.1b

Rules

25×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
14×	`add-sqr-sqrt_binary64_1464`
12×	`add-log-exp_binary64_1481` `*-un-lft-identity_binary64_1442`
9×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475`
6×	`add-cube-cbrt_binary64_1477` `cancel-sign-sub-inv_binary64_1408` `div-exp_binary64_1493` `cbrt-undiv_binary64_1476`
4×	`pow1_binary64_1503` `flip3--_binary64_1446` `flip--_binary64_1417` `difference-of-squares_binary64_1411` `associate-*r/_binary64_1384`
2×	`diff-log_binary64_1534` `sub-neg_binary64_1435` `difference-of-sqr-1_binary64_1412` `distribute-lft-out--_binary64_1394` `associate-/l/_binary64_1389` `associate-/r/_binary64_1388` `exp-to-pow_binary64_1504`
1×	`frac-2neg_binary64_1453` `times-frac_binary64_1448` `clear-num_binary64_1441` `div-inv_binary64_1439` `associate-/l_binary64_1387` `associate-/r_binary64_1386` `sum-log_binary64_1533` `exp-prod_binary64_1494` `rem-exp-log_binary64_1482`

Counts

4 → 76

Calls

4 calls:

17.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (.f64 eps a) (-.f64 (exp.f64 (*.f64 b eps)) 1)))
5.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
4.0ms	(-.f64 (exp.f64 (*.f64 b eps)) 1)
3.0ms	(exp.f64 (*.f64 (+.f64 a b) eps))

Compiler

Compiled 2465 to 933 computations (62.2% saved)

series607.0ms (4.9%)

Error

0.2b

Counts

4 → 57

Calls

4 calls:

282.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (.f64 eps a) (-.f64 (exp.f64 (*.f64 b eps)) 1)))
108.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
79.0ms	(exp.f64 (*.f64 (+.f64 a b) eps))
56.0ms	(-.f64 (exp.f64 (*.f64 b eps)) 1)

Compiler

Compiled 4157 to 2582 computations (37.9% saved)

simplify64.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5318	2916

prune152.0ms (1.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	130	3	133
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	133	9	142

Error

0.1b

Counts

142 → 9

Compiler

Compiled 3749 to 1592 computations (57.5% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 eps (/.f64 (*.f64 eps a) b))
0.0b	(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (.f64 1/2 (+.f64 eps (/.f64 (.f64 eps a) b)))))
4.0b	(/.f64 (*.f64 eps a) b)

rewrite88.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

10×	`add-log-exp_binary64_1481` `*-un-lft-identity_binary64_1442`
8×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
6×	`frac-add_binary64_1450`
5×	`add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464`
4×	`sum-log_binary64_1533` `flip3-+_binary64_1445` `flip-+_binary64_1416`
3×	`pow1_binary64_1503` `times-frac_binary64_1448` `associate-/r*_binary64_1386` `distribute-lft-out_binary64_1393`
2×	`div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `div-inv_binary64_1439` `associate-*r/_binary64_1384` `+-commutative_binary64_1372`
1×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `frac-2neg_binary64_1453` `clear-num_binary64_1441` `associate-/l*_binary64_1387` `associate-+r+_binary64_1374`

Counts

3 → 52

Calls

3 calls:

14.0ms	(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (.f64 1/2 (+.f64 eps (/.f64 (.f64 eps a) b)))))
5.0ms	(+.f64 eps (/.f64 (*.f64 eps a) b))
4.0ms	(/.f64 (*.f64 eps a) b)

Compiler

Compiled 1559 to 740 computations (52.5% saved)

series429.0ms (3.5%)

Error

0.1b

Counts

3 → 37

Calls

3 calls:

231.0ms	(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (.f64 1/2 (+.f64 eps (/.f64 (.f64 eps a) b)))))
102.0ms	(/.f64 (*.f64 eps a) b)
67.0ms	(+.f64 eps (/.f64 (*.f64 eps a) b))

Compiler

Compiled 1519 to 1158 computations (23.8% saved)

simplify66.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5047	1659

prune97.0ms (0.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	90	8	98

Error

0.1b

Counts

98 → 8

Compiler

Compiled 2054 to 1163 computations (43.4% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

rewrite31.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

13×	`*-un-lft-identity_binary64_1442`
7×	`distribute-lft-out_binary64_1393`
6×	`times-frac_binary64_1448`
4×	`div-inv_binary64_1439`
3×	`add-log-exp_binary64_1481` `add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464`
1×	`sum-log_binary64_1533` `pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `frac-add_binary64_1450` `flip3-+_binary64_1445` `flip-+_binary64_1416` `+-commutative_binary64_1372`

Counts

1 → 19

Calls

1 calls:

13.0ms

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

Compiler

Compiled 267 to 210 computations (21.3% saved)

series66.0ms (0.5%)

Error

0.1b

Counts

1 → 12

Calls

1 calls:

60.0ms

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

Compiler

Compiled 162 to 171 computations (-5.6% saved)

simplify85.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4871	341
1	4871	341

prune20.0ms (0.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	31	8	39

Error

0.1b

Counts

39 → 8

Compiler

Compiled 294 to 224 computations (23.8% saved)

regimes542.0ms (4.4%)

Accuracy

Total 0.8b remaining (93.7%)

Threshold costs 0.8b (93.7%)

Compiler

Compiled 6802 to 5120 computations (24.7% saved)

bsearch5.0ms (0%)

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

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	61	151
1	61	151

Compiler

Compiled 196 to 116 computations (40.8% saved)

end0.0ms (0%)

sample7.1s (57.7%)

Algorithm

1×

intervals

Results

3.1s	4123×	body	2048	valid
949.0ms	2444×	body	1024	valid
200.0ms	9770×	pre	128	true
182.0ms	615×	body	1024	overflowed
178.0ms	364×	body	2048	overflowed
162.0ms	706×	body	512	valid
62.0ms	312×	body	512	overflowed
37.0ms	235×	body	256	valid
36.0ms	481×	body	128	valid
24.0ms	313×	body	128	overflowed
21.0ms	163×	body	256	overflowed
13.0ms	11×	body	4096	valid
2.0ms	3×	body	2048	invalid

Compiler

Compiled 1823 to 1357 computations (25.6% saved)

Details

analyze1.7s (14.1%)

sample187.0ms (1.5%)

simplify24.0ms (0.2%)

prune3.0ms (0%)

localize15.0ms (0.1%)

rewrite177.0ms (1.4%)

series417.0ms (3.4%)

simplify59.0ms (0.5%)

prune188.0ms (1.5%)

localize14.0ms (0.1%)

rewrite130.0ms (1%)

series607.0ms (4.9%)

simplify64.0ms (0.5%)

prune152.0ms (1.2%)

localize10.0ms (0.1%)

rewrite88.0ms (0.7%)

series429.0ms (3.5%)

simplify66.0ms (0.5%)

prune97.0ms (0.8%)

localize5.0ms (0%)

rewrite31.0ms (0.2%)

series66.0ms (0.5%)

simplify85.0ms (0.7%)

prune20.0ms (0.2%)

regimes542.0ms (4.4%)

bsearch5.0ms (0%)

simplify16.0ms (0.1%)

end0.0ms (0%)

sample7.1s (57.7%)

Profiling