Details

analyze367.0ms (9.8%)

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)

sample31.0ms (0.8%)

Algorithm

1×

intervals

Results

18.0ms	256×	body	256	valid
3.0ms	256×	pre	128	true

Compiler

Compiled 42 to 38 computations (9.5% saved)

simplify319.0ms (8.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (313.0ms)

Iter	Nodes	Cost
0	4827	7
1	4827	7

prune7.0ms (0.2%)

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

0.4b

Counts

2 → 1

Compiler

Compiled 10 to 8 computations (20% saved)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.3b

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

0.3b

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

rewrite52.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

2 → 36

Calls

2 calls:

10.0ms

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

7.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

Compiler

Compiled 356 to 232 computations (34.8% saved)

series62.0ms (1.7%)

Error

0.2b

Counts

2 → 6

Calls

2 calls:

28.0ms

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

26.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

Compiler

Compiled 90 to 76 computations (15.6% saved)

simplify91.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4984	290
1	4984	290

prune48.0ms (1.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	34	8	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	35	8	43

Error

0.0b

Counts

43 → 8

Compiler

Compiled 400 to 265 computations (33.8% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b

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

0.3b

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

rewrite60.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

2 → 42

Calls

2 calls:

15.0ms

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

8.0ms

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

Compiler

Compiled 605 to 473 computations (21.8% saved)

series55.0ms (1.5%)

Error

0.0b

Counts

2 → 6

Calls

2 calls:

36.0ms

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

17.0ms

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

Compiler

Compiled 90 to 76 computations (15.6% saved)

simplify96.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	5066	335

prune45.0ms (1.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	48	8	56

Error

Counts

56 → 8

Compiler

Compiled 468 to 347 computations (25.9% saved)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.2b

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

0.2b

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

rewrite66.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

2 → 42

Calls

2 calls:

12.0ms

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

9.0ms

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

Compiler

Compiled 596 to 451 computations (24.3% saved)

series64.0ms (1.7%)

Error

Counts

2 → 6

Calls

2 calls:

35.0ms

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

25.0ms

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

Compiler

Compiled 117 to 112 computations (4.3% saved)

simplify69.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4959	395
1	4959	395

prune55.0ms (1.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	47	1	48
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	48	8	56

Error

Counts

56 → 8

Compiler

Compiled 508 to 372 computations (26.8% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite19.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

1 → 19

Calls

1 calls:

5.0ms

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

Compiler

Compiled 193 to 113 computations (41.5% saved)

series43.0ms (1.2%)

Error

Counts

1 → 3

Calls

1 calls:

41.0ms

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

Compiler

Compiled 45 to 43 computations (4.4% saved)

simplify70.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4846	174
1	4846	174

prune12.0ms (0.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	21	1	22
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	22	8	30

Error

Counts

30 → 8

Compiler

Compiled 166 to 102 computations (38.6% saved)

regimes214.0ms (5.8%)

Accuracy

Total 0.3b remaining (99.7%)

Threshold costs 0.3b (99.7%)

Compiler

Compiled 1311 to 1021 computations (22.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

end0.0ms (0%)

sample1.9s (49.6%)

Algorithm

1×

intervals

Results

651.0ms	8000×	body	256	valid
124.0ms	8000×	pre	128	true

Compiler

Compiled 454 to 355 computations (21.8% saved)

Details

analyze367.0ms (9.8%)

sample31.0ms (0.8%)

simplify319.0ms (8.6%)

prune7.0ms (0.2%)

localize11.0ms (0.3%)

rewrite52.0ms (1.4%)

series62.0ms (1.7%)

simplify91.0ms (2.4%)

prune48.0ms (1.3%)

localize6.0ms (0.2%)

rewrite60.0ms (1.6%)

series55.0ms (1.5%)

simplify96.0ms (2.6%)

prune45.0ms (1.2%)

localize11.0ms (0.3%)

rewrite66.0ms (1.8%)

series64.0ms (1.7%)

simplify69.0ms (1.9%)

prune55.0ms (1.5%)

localize3.0ms (0.1%)

rewrite19.0ms (0.5%)

series43.0ms (1.2%)

simplify70.0ms (1.9%)

prune12.0ms (0.3%)

regimes214.0ms (5.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.9s (49.6%)

Profiling