Details

analyze4.0ms (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)

sample58.0ms (1.1%)

Algorithm

1×

intervals

Results

36.0ms	256×	body	256	valid
6.0ms	256×	pre	128	true

Compiler

Compiled 42 to 38 computations (9.5% saved)

simplify617.0ms (11.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (458.0ms)

Iter	Nodes	Cost
0	4827	7
1	4827	7

prune6.0ms (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)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.3b

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

0.3b

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

rewrite76.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

2 → 36

Calls

2 calls:

9.0ms

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

7.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

Compiler

Compiled 356 to 232 computations (34.8% saved)

series78.0ms (1.5%)

Error

0.2b

Counts

2 → 6

Calls

2 calls:

43.0ms

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

29.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

Compiler

Compiled 90 to 76 computations (15.6% saved)

simplify160.0ms (3%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (138.0ms)

Iter	Nodes	Cost
0	4984	290
1	4984	290

prune63.0ms (1.2%)

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 394 to 261 computations (33.8% saved)

localize11.0ms (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)))

rewrite95.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

2 → 42

Calls

2 calls:

15.0ms

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

12.0ms

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

Compiler

Compiled 605 to 473 computations (21.8% saved)

series79.0ms (1.5%)

Error

0.0b

Counts

2 → 6

Calls

2 calls:

45.0ms

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

28.0ms

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

Compiler

Compiled 90 to 76 computations (15.6% saved)

simplify170.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (146.0ms)

Iter	Nodes	Cost
0	5066	335

prune61.0ms (1.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	47	8	55

Error

Counts

55 → 8

Compiler

Compiled 455 to 339 computations (25.5% saved)

localize11.0ms (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))

rewrite89.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

2 → 42

Calls

2 calls:

15.0ms

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

10.0ms

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

Compiler

Compiled 596 to 451 computations (24.3% saved)

series90.0ms (1.7%)

Error

Counts

2 → 6

Calls

2 calls:

44.0ms

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

40.0ms

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

Compiler

Compiled 117 to 112 computations (4.3% saved)

simplify133.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (111.0ms)

Iter	Nodes	Cost
0	4959	395
1	4959	395

prune61.0ms (1.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

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

Error

Counts

56 → 8

Compiler

Compiled 498 to 362 computations (27.3% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite49.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

8×	`pow1_binary64_1844`
7×	`add-sqr-sqrt_binary64_1805`
5×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
3×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `swap-sqr_binary64_1750` `associate-l_binary64_1724` `associate-r_binary64_1723`
1×	`pow2_binary64_1864` `pow-prod-down_binary64_1854` `pow-prod-up_binary64_1853` `pow-plus_binary64_1846` `prod-exp_binary64_1832` `add-log-exp_binary64_1822` `cbrt-unprod_binary64_1816` `sqr-abs_binary64_1798` `pow-sqr_binary64_1756` `unswap-sqr_binary64_1751` `*-commutative_binary64_1714`

Counts

1 → 26

Calls

1 calls:

7.0ms

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

Compiler

Compiled 418 to 343 computations (17.9% saved)

series59.0ms (1.1%)

Error

Counts

1 → 3

Calls

1 calls:

53.0ms

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

Compiler

Compiled 54 to 52 computations (3.7% saved)

simplify161.0ms (3%)

Algorithm

1×	egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 0 (143.0ms)

Iter	Nodes	Cost
0	5033	209

prune31.0ms (0.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	29	0	29
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	29	8	37

Error

Counts

37 → 8

Compiler

Compiled 251 to 208 computations (17.1% saved)

regimes310.0ms (5.9%)

Accuracy

Total 0.3b remaining (99%)

Threshold costs 0.3b (99%)

Compiler

Compiled 1391 to 1102 computations (20.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms (0%)

sample2.8s (52.8%)

Algorithm

1×

intervals

Results

1.2s	8000×	body	256	valid
186.0ms	8000×	pre	128	true

Compiler

Compiled 479 to 380 computations (20.7% saved)

Details

analyze4.0ms (0.1%)

sample58.0ms (1.1%)

simplify617.0ms (11.7%)

prune6.0ms (0.1%)

localize6.0ms (0.1%)

rewrite76.0ms (1.4%)

series78.0ms (1.5%)

simplify160.0ms (3%)

prune63.0ms (1.2%)

localize11.0ms (0.2%)

rewrite95.0ms (1.8%)

series79.0ms (1.5%)

simplify170.0ms (3.2%)

prune61.0ms (1.2%)

localize11.0ms (0.2%)

rewrite89.0ms (1.7%)

series90.0ms (1.7%)

simplify133.0ms (2.5%)

prune61.0ms (1.2%)

localize8.0ms (0.2%)

rewrite49.0ms (0.9%)

series59.0ms (1.1%)

simplify161.0ms (3%)

prune31.0ms (0.6%)

regimes310.0ms (5.9%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.8s (52.8%)

Profiling