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)

sample32.0ms (1.2%)

Algorithm

1×

intervals

Results

15.0ms	188×	body	160	valid
8.0ms	68×	body	320	valid
4.0ms	256×	pre	80	true

Compiler

Compiled 42 to 38 computations (9.5% saved)

simplify436.0ms (16.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (421.0ms)

Iter	Nodes	Cost
0	4828	7
1	4828	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

Merged 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×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`associate-l_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64`
2×	`add-log-exp_binary64` `insert-posit16` `*-commutative_binary64`
1×	`unswap-sqr_binary64`

Counts

2 → 38

Calls

2 calls:

6.0ms

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

5.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

series68.0ms (2.6%)

Counts

2 → 6

Calls

2 calls:

41.0ms

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

27.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

simplify141.0ms (5.4%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (119.0ms)

Iter	Nodes	Cost
0	4988	305
1	4988	305

prune39.0ms (1.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	37	7	44
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	8	45

Merged error: 0b

Counts

45 → 8

Compiler

Compiled 412 to 287 computations (30.3% saved)

localize5.0ms (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)))

rewrite21.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
7×	`associate-r_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`associate-l_binary64`
3×	`sqrt-prod_binary64`
2×	`add-log-exp_binary64` `insert-posit16` `*-commutative_binary64`

Counts

2 → 44

Calls

2 calls:

10.0ms

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

8.0ms

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

series72.0ms (2.7%)

Counts

2 → 6

Calls

2 calls:

45.0ms

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

27.0ms

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

simplify158.0ms (6%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (132.0ms)

Iter	Nodes	Cost
0	5070	350

prune34.0ms (1.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	48	2	50
Fresh	3	3	6
Picked	1	0	1
Done	0	1	1
Total	52	6	58

Merged error: 0b

Counts

58 → 6

Compiler

Compiled 446 to 335 computations (24.9% 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))

rewrite21.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
7×	`associate-r_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`associate-l_binary64`
3×	`sqrt-prod_binary64`
2×	`add-log-exp_binary64` `insert-posit16` `*-commutative_binary64`

Counts

2 → 44

Calls

2 calls:

11.0ms

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

6.0ms

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

series82.0ms (3.1%)

Counts

2 → 6

Calls

2 calls:

43.0ms

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

38.0ms

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

simplify119.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4963	413
1	4963	413

prune36.0ms (1.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	50	6	56

Merged error: 0b

Counts

56 → 6

Compiler

Compiled 492 to 386 computations (21.5% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.4b	(.f64 (.f64 t t) 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

rewrite8.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
2×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
1×	`add-log-exp_binary64` `associate-l_binary64` `unswap-sqr_binary64` `insert-posit16` `*-commutative_binary64`

Counts

1 → 20

Calls

1 calls:

8.0ms

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

series44.0ms (1.7%)

Counts

1 → 3

Calls

1 calls:

44.0ms

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

simplify144.0ms (5.5%)

Algorithm

1×	egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 0 (125.0ms)

Iter	Nodes	Cost
0	5326	185

prune15.0ms (0.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	23	0	23
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	23	6	29

Merged error: 0b

Counts

29 → 6

Compiler

Compiled 171 to 104 computations (39.2% saved)

regimes23.0ms (0.9%)

Compiler: Compiled 90 to 78 computations (13.3% saved)

bsearch0.0ms (0%)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

end0.0ms (0%)

sample1.1s (41.6%)

Algorithm

1×

intervals

Results

478.0ms	5948×	body	160	valid
236.0ms	2052×	body	320	valid
115.0ms	8000×	pre	80	true

Compiler

Compiled 89 to 78 computations (12.4% saved)

Details

analyze2.0ms (0.1%)

sample32.0ms (1.2%)

simplify436.0ms (16.6%)

prune4.0ms (0.2%)

localize3.0ms (0.1%)

rewrite12.0ms (0.5%)

series68.0ms (2.6%)

simplify141.0ms (5.4%)

prune39.0ms (1.5%)

localize5.0ms (0.2%)

rewrite21.0ms (0.8%)

series72.0ms (2.7%)

simplify158.0ms (6%)

prune34.0ms (1.3%)

localize5.0ms (0.2%)

rewrite21.0ms (0.8%)

series82.0ms (3.1%)

simplify119.0ms (4.5%)

prune36.0ms (1.4%)

localize3.0ms (0.1%)

rewrite8.0ms (0.3%)

series44.0ms (1.7%)

simplify144.0ms (5.5%)

prune15.0ms (0.6%)

regimes23.0ms (0.9%)

bsearch0.0ms (0%)

simplify7.0ms (0.3%)

end0.0ms (0%)

sample1.1s (41.6%)

Profiling