Details

analyze332.0ms (14.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4827	7
1	4827	7
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 23 to 20 computations (13% saved)

sample34.0ms (1.5%)

Algorithm

1×

intervals

Results

23.0ms	256×	body	256	valid
4.0ms	256×	pre	128	true

Compiler

Compiled 42 to 38 computations (9.5% saved)

simplify246.0ms (10.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (241.0ms)

Iter	Nodes	Cost
0	4827	7
1	4827	7

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.3b

Counts

2 → 1

Compiler

Compiled 10 to 8 computations (20% saved)

localize3.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b

(*.f64 t (*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))

0.3b

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

rewrite10.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480` `pow1_binary64_1503`
7×	`add-sqr-sqrt_binary64_1464`
6×	`associate-l_binary64_1383`
5×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
4×	`associate-r_binary64_1382` `cbrt-unprod_binary64_1475` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491`
2×	`*-commutative_binary64_1373` `add-log-exp_binary64_1481`
1×	`unswap-sqr_binary64_1410`

Counts

2 → 36

Calls

2 calls:

4.0ms

(*.f64 t (*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))

4.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

series30.0ms (1.3%)

Counts

2 → 6

Calls

2 calls:

18.0ms

(*.f64 t (*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))

11.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

simplify80.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4984	290
1	4984	290

prune36.0ms (1.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	36	6	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	37	6	43

Error

0.0b

Counts

43 → 6

Compiler

Compiled 379 to 265 computations (30.1% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.3b	(.f64 (.f64 t t) 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

rewrite6.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480` `pow1_binary64_1503`
3×	`associate-r_binary64_1382` `cbrt-unprod_binary64_1475` `pow-prod-down_binary64_1513` `add-sqr-sqrt_binary64_1464` `prod-exp_binary64_1491`
2×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
1×	`associate-l_binary64_1383` `*-commutative_binary64_1373` `add-log-exp_binary64_1481` `unswap-sqr_binary64_1410`

Counts

1 → 19

Calls

1 calls:

5.0ms

(*.f64 (*.f64 t t) 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

series19.0ms (0.8%)

Counts

1 → 3

Calls

1 calls:

19.0ms

(*.f64 (*.f64 t t) 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

simplify84.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	5392	176

prune19.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	21	1	22
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	22	6	28

Error

Counts

28 → 6

Compiler

Compiled 204 to 134 computations (34.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b

(*.f64 t (*.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)))

0.3b

(*.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))

rewrite16.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480` `pow1_binary64_1503`
9×	`cbrt-unprod_binary64_1475` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491`
7×	`associate-r_binary64_1382`
5×	`add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
4×	`associate-l_binary64_1383`
3×	`sqrt-prod_binary64_1458`
2×	`*-commutative_binary64_1373` `add-log-exp_binary64_1481`

Counts

2 → 42

Calls

2 calls:

7.0ms

(*.f64 t (*.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)))

6.0ms

(*.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))

series30.0ms (1.3%)

Counts

2 → 6

Calls

2 calls:

18.0ms

(*.f64 t (*.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)))

13.0ms

(*.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))

simplify84.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5066	335

prune33.0ms (1.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	48	6	54

Error

Counts

54 → 6

Compiler

Compiled 428 to 321 computations (25% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.5b	(.f64 (.f64 t 2028240960365167/10141204801825835211973625643008) (*.f64 t 2028240960365167/10141204801825835211973625643008))

rewrite8.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`pow1_binary64_1503`
17×	`pow-prod-down_binary64_1513`
13×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
8×	`cbrt-unprod_binary64_1475` `prod-exp_binary64_1491`
4×	`pow-sqr_binary64_1415` `pow-prod-up_binary64_1512`
2×	`pow-plus_binary64_1505`
1×	`pow2_binary64_1523` `associate-r_binary64_1382` `swap-sqr_binary64_1409` `associate-l_binary64_1383` `-commutative_binary64_1373` `add-log-exp_binary64_1481` `add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `-un-lft-identity_binary64_1442`

Counts

1 → 34

Calls

1 calls:

6.0ms

(*.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (*.f64 t 2028240960365167/10141204801825835211973625643008))

series19.0ms (0.8%)

Counts

1 → 3

Calls

1 calls:

19.0ms

(*.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (*.f64 t 2028240960365167/10141204801825835211973625643008))

simplify66.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4983	205
1	4983	205

prune23.0ms (1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	37	0	37
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	37	6	43

Error

Counts

43 → 6

Compiler

Compiled 241 to 185 computations (23.2% saved)

regimes76.0ms (3.2%)

Accuracy

Total 0.3b remaining (98.3%)

Threshold costs 0.3b (98.3%)

Compiler

Compiled 557 to 466 computations (16.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	6	7

end0.0ms (0%)

sample1.1s (45.8%)

Algorithm

1×

intervals

Results

605.0ms	8000×	body	256	valid
115.0ms	8000×	pre	128	true

Compiler

Compiled 202 to 169 computations (16.3% saved)

Details

analyze332.0ms (14.2%)

sample34.0ms (1.5%)

simplify246.0ms (10.5%)

prune3.0ms (0.1%)

localize3.0ms (0.1%)

rewrite10.0ms (0.4%)

series30.0ms (1.3%)

simplify80.0ms (3.4%)

prune36.0ms (1.5%)

localize3.0ms (0.1%)

rewrite6.0ms (0.3%)

series19.0ms (0.8%)

simplify84.0ms (3.6%)

prune19.0ms (0.8%)

localize5.0ms (0.2%)

rewrite16.0ms (0.7%)

series30.0ms (1.3%)

simplify84.0ms (3.6%)

prune33.0ms (1.4%)

localize3.0ms (0.1%)

rewrite8.0ms (0.3%)

series19.0ms (0.8%)

simplify66.0ms (2.8%)

prune23.0ms (1%)

regimes76.0ms (3.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.1s (45.8%)

Profiling