Details

analyze346.0ms (11.1%)

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

Symmetry

Compiler

Compiled 23 to 20 computations (13% saved)

sample32.0ms (1%)

Algorithm

1×

intervals

Results

19.0ms	256×	body	256	valid
3.0ms	256×	pre	128	true

Compiler

Compiled 42 to 38 computations (9.5% saved)

simplify249.0ms (8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (243.0ms)

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))

0.2b

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

rewrite43.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`pow1_binary64_139` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
7×	`add-sqr-sqrt_binary64_100`
6×	`associate-l_binary64_19`
5×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
4×	`pow-prod-down_binary64_149` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `associate-r_binary64_18`
2×	`add-log-exp_binary64_117` `*-commutative_binary64_9`
1×	`unswap-sqr_binary64_46`

Counts

2 → 36

Calls

2 calls:

5.0ms

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

4.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

Compiler

Compiled 356 to 232 computations (34.8% saved)

series42.0ms (1.3%)

Error

0.1b

Counts

2 → 6

Calls

2 calls:

21.0ms

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

16.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

Compiler

Compiled 90 to 76 computations (15.6% saved)

simplify81.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4984	290
1	4984	290

prune31.0ms (1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	35	7	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	8	43

Error

0.0b

Counts

43 → 8

Compiler

Compiled 392 to 257 computations (34.4% 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)))

0.2b

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

rewrite54.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`pow1_binary64_139` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
9×	`pow-prod-down_binary64_149` `prod-exp_binary64_127` `cbrt-unprod_binary64_111`
7×	`associate-r_binary64_18`
5×	`add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`
4×	`associate-l_binary64_19`
3×	`sqrt-prod_binary64_94`
2×	`add-log-exp_binary64_117` `*-commutative_binary64_9`

Counts

2 → 42

Calls

2 calls:

10.0ms

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

6.0ms

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

Compiler

Compiled 605 to 473 computations (21.8% saved)

series47.0ms (1.5%)

Error

0.0b

Counts

2 → 6

Calls

2 calls:

28.0ms

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

16.0ms

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

Compiler

Compiled 90 to 76 computations (15.6% saved)

simplify89.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5066	335

prune31.0ms (1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	47	1	48
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	50	6	56

Error

0.0b

Counts

56 → 6

Compiler

Compiled 430 to 313 computations (27.2% 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))

rewrite53.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`pow1_binary64_139` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
9×	`pow-prod-down_binary64_149` `prod-exp_binary64_127` `cbrt-unprod_binary64_111`
7×	`associate-r_binary64_18`
5×	`add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`
4×	`associate-l_binary64_19`
3×	`sqrt-prod_binary64_94`
2×	`add-log-exp_binary64_117` `*-commutative_binary64_9`

Counts

2 → 42

Calls

2 calls:

10.0ms

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

5.0ms

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

Compiler

Compiled 596 to 451 computations (24.3% saved)

series55.0ms (1.8%)

Error

Counts

2 → 6

Calls

2 calls:

28.0ms

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

22.0ms

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

Compiler

Compiled 117 to 112 computations (4.3% saved)

simplify70.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4959	395
1	4959	395

prune30.0ms (1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	47	1	48
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	48	6	54

Error

Counts

54 → 6

Compiler

Compiled 469 to 335 computations (28.6% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b

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

0.3b

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

rewrite49.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`pow1_binary64_139` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
9×	`pow-prod-down_binary64_149` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `associate-r_binary64_18`
6×	`add-sqr-sqrt_binary64_100`
5×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
3×	`sqrt-prod_binary64_94`
2×	`add-log-exp_binary64_117` `associate-l_binary64_19` `*-commutative_binary64_9`
1×	`unswap-sqr_binary64_46`

Counts

2 → 43

Calls

2 calls:

8.0ms

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

6.0ms

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

Compiler

Compiled 608 to 416 computations (31.6% saved)

series56.0ms (1.8%)

Error

Counts

2 → 6

Calls

2 calls:

27.0ms

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

26.0ms

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

Compiler

Compiled 117 to 112 computations (4.3% saved)

simplify74.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4999	408
1	4999	408

prune28.0ms (0.9%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	49	6	55

Error

Counts

55 → 6

Compiler

Compiled 458 to 318 computations (30.6% saved)

regimes155.0ms (5%)

Accuracy

Total 0.3b remaining (99.4%)

Threshold costs 0.3b (99.4%)

Compiler

Compiled 1307 to 1022 computations (21.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

Removed

()

end0.0ms (0%)

sample1.5s (47.3%)

Algorithm

1×

intervals

Results

614.0ms	8000×	body	256	valid
110.0ms	8000×	pre	128	true

Compiler

Compiled 456 to 358 computations (21.5% saved)

Details

analyze346.0ms (11.1%)

sample32.0ms (1%)

simplify249.0ms (8%)

prune3.0ms (0.1%)

localize3.0ms (0.1%)

rewrite43.0ms (1.4%)

series42.0ms (1.3%)

simplify81.0ms (2.6%)

prune31.0ms (1%)

localize5.0ms (0.2%)

rewrite54.0ms (1.7%)

series47.0ms (1.5%)

simplify89.0ms (2.8%)

prune31.0ms (1%)

localize5.0ms (0.2%)

rewrite53.0ms (1.7%)

series55.0ms (1.8%)

simplify70.0ms (2.2%)

prune30.0ms (1%)

localize7.0ms (0.2%)

rewrite49.0ms (1.6%)

series56.0ms (1.8%)

simplify74.0ms (2.4%)

prune28.0ms (0.9%)

regimes155.0ms (5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.5s (47.3%)

Profiling