Details

analyze2.0ms (0.1%)

Algorithm

1×

Search

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

Compiler

Compiled 23 to 20 computations (13% saved)

sample33.0ms (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)

simplify339.0ms (15.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (246.0ms)

Iter	Nodes	Cost
0	4827	7
1	4827	7

prune4.0ms (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

0.3b

Counts

2 → 1

Compiler

Compiled 10 to 8 computations (20% saved)

localize3.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.3b

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

0.3b

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

rewrite12.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `pow1_binary64_1844`
7×	`add-sqr-sqrt_binary64_1805`
6×	`associate-l_binary64_1724`
5×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
4×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `pow-prod-down_binary64_1854` `associate-r_binary64_1723`
2×	`*-commutative_binary64_1714` `add-log-exp_binary64_1822`
1×	`unswap-sqr_binary64_1751`

Counts

2 → 36

Calls

2 calls:

5.0ms

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

5.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

series34.0ms (1.6%)

Counts

2 → 6

Calls

2 calls:

22.0ms

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

12.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

simplify94.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4984	290
1	4984	290

prune34.0ms (1.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	35	7	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	36	7	43

Error

0.0b

Counts

43 → 7

Compiler

Compiled 387 to 268 computations (30.7% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite9.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `pow1_binary64_1844`
3×	`add-sqr-sqrt_binary64_1805` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `pow-prod-down_binary64_1854` `associate-r_binary64_1723`
2×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
1×	`associate-l_binary64_1724` `*-commutative_binary64_1714` `unswap-sqr_binary64_1751` `add-log-exp_binary64_1822`

Counts

1 → 19

Calls

1 calls:

6.0ms

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

series20.0ms (0.9%)

Counts

1 → 3

Calls

1 calls:

20.0ms

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

simplify85.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5392	176

prune17.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	21	1	22
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	23	6	29

Error

0.0b

Counts

29 → 6

Compiler

Compiled 205 to 135 computations (34.1% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b

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

0.2b

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

rewrite16.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `pow1_binary64_1844`
9×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `pow-prod-down_binary64_1854`
7×	`associate-r_binary64_1723`
5×	`add-sqr-sqrt_binary64_1805` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
4×	`associate-l_binary64_1724`
3×	`sqrt-prod_binary64_1799`
2×	`*-commutative_binary64_1714` `add-log-exp_binary64_1822`

Counts

2 → 42

Calls

2 calls:

8.0ms

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

5.0ms

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

series39.0ms (1.8%)

Counts

2 → 6

Calls

2 calls:

20.0ms

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

19.0ms

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

simplify75.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4959	395
1	4959	395

prune34.0ms (1.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	47	1	48
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	47	7	54

Error

Counts

54 → 7

Compiler

Compiled 491 to 387 computations (21.2% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.3b

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

0.3b

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

rewrite17.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `pow1_binary64_1844`
9×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `pow-prod-down_binary64_1854`
7×	`associate-r_binary64_1723`
5×	`add-sqr-sqrt_binary64_1805` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
4×	`associate-l_binary64_1724`
3×	`sqrt-prod_binary64_1799`
2×	`*-commutative_binary64_1714` `add-log-exp_binary64_1822`

Counts

2 → 42

Calls

2 calls:

8.0ms

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

6.0ms

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

series34.0ms (1.5%)

Counts

2 → 6

Calls

2 calls:

23.0ms

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

11.0ms

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

simplify88.0ms (4%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	5066	335

prune26.0ms (1.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	48	7	55

Error

Counts

55 → 7

Compiler

Compiled 396 to 294 computations (25.8% saved)

regimes90.0ms (4.1%)

Accuracy

Total 0.3b remaining (99.1%)

Threshold costs 0.3b (99.1%)

Compiler

Compiled 669 to 545 computations (18.5% 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%)

sample1.1s (49.3%)

Algorithm

1×

intervals

Results

584.0ms	8000×	body	256	valid
119.0ms	8000×	pre	128	true

Compiler

Compiled 243 to 199 computations (18.1% saved)

Details

analyze2.0ms (0.1%)

sample33.0ms (1.5%)

simplify339.0ms (15.3%)

prune4.0ms (0.2%)

localize3.0ms (0.1%)

rewrite12.0ms (0.5%)

series34.0ms (1.6%)

simplify94.0ms (4.3%)

prune34.0ms (1.5%)

localize3.0ms (0.1%)

rewrite9.0ms (0.4%)

series20.0ms (0.9%)

simplify85.0ms (3.9%)

prune17.0ms (0.8%)

localize5.0ms (0.2%)

rewrite16.0ms (0.7%)

series39.0ms (1.8%)

simplify75.0ms (3.4%)

prune34.0ms (1.6%)

localize5.0ms (0.2%)

rewrite17.0ms (0.8%)

series34.0ms (1.5%)

simplify88.0ms (4%)

prune26.0ms (1.2%)

regimes90.0ms (4.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.1s (49.3%)

Profiling