Details

analyze605.0ms (12.8%)

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)

sample60.0ms (1.3%)

Algorithm

1×

intervals

Results

40.0ms	256×	body	256	valid
7.0ms	256×	pre	128	true

Compiler

Compiled 42 to 38 computations (9.5% saved)

simplify459.0ms (9.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (447.0ms)

Iter	Nodes	Cost
0	4827	7
1	4827	7

prune7.0ms (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:

0.2b

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

0.3b

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

rewrite19.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `pow1_binary64_2526`
7×	`add-sqr-sqrt_binary64_2487`
6×	`associate-l_binary64_2406`
5×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
4×	`prod-exp_binary64_2514` `associate-r_binary64_2405` `pow-prod-down_binary64_2536` `cbrt-unprod_binary64_2498`
2×	`add-log-exp_binary64_2504` `*-commutative_binary64_2396`
1×	`unswap-sqr_binary64_2433`

Counts

2 → 36

Calls

2 calls:

9.0ms

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

7.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

series70.0ms (1.5%)

Counts

2 → 6

Calls

2 calls:

42.0ms

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

28.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

Compiler

Compiled 60 to 54 computations (10% saved)

simplify157.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (132.0ms)

Iter	Nodes	Cost
0	4984	290
1	4984	290

prune64.0ms (1.4%)

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 391 to 272 computations (30.4% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b

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

0.2b

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

rewrite36.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `pow1_binary64_2526`
9×	`prod-exp_binary64_2514` `pow-prod-down_binary64_2536` `cbrt-unprod_binary64_2498`
7×	`associate-r_binary64_2405`
5×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487`
4×	`associate-l_binary64_2406`
3×	`sqrt-prod_binary64_2481`
2×	`add-log-exp_binary64_2504` `*-commutative_binary64_2396`

Counts

2 → 42

Calls

2 calls:

16.0ms

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

15.0ms

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

series75.0ms (1.6%)

Counts

2 → 6

Calls

2 calls:

45.0ms

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

29.0ms

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

Compiler

Compiled 60 to 54 computations (10% saved)

simplify173.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (148.0ms)

Iter	Nodes	Cost
0	5066	335

prune70.0ms (1.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	47	1	48
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	49	6	55

Error

0.0b

Counts

55 → 6

Compiler

Compiled 434 to 326 computations (24.9% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite13.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `pow1_binary64_2526`
3×	`add-sqr-sqrt_binary64_2487` `prod-exp_binary64_2514` `associate-r_binary64_2405` `pow-prod-down_binary64_2536` `cbrt-unprod_binary64_2498`
2×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
1×	`add-log-exp_binary64_2504` `-commutative_binary64_2396` `unswap-sqr_binary64_2433` `associate-l*_binary64_2406`

Counts

1 → 19

Calls

1 calls:

11.0ms

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

series45.0ms (1%)

Counts

1 → 3

Calls

1 calls:

45.0ms

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

Compiler

Compiled 30 to 30 computations (0% saved)

simplify160.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (141.0ms)

Iter	Nodes	Cost
0	5392	176

prune30.0ms (0.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	22	6	28

Error

0.0b

Counts

28 → 6

Compiler

Compiled 197 to 128 computations (35% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b

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

0.3b

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

rewrite36.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `pow1_binary64_2526`
9×	`prod-exp_binary64_2514` `pow-prod-down_binary64_2536` `cbrt-unprod_binary64_2498`
7×	`associate-r_binary64_2405`
5×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487`
4×	`associate-l_binary64_2406`
3×	`sqrt-prod_binary64_2481`
2×	`add-log-exp_binary64_2504` `*-commutative_binary64_2396`

Counts

2 → 42

Calls

2 calls:

16.0ms

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

14.0ms

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

series97.0ms (2.1%)

Counts

2 → 6

Calls

2 calls:

49.0ms

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

48.0ms

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

Compiler

Compiled 78 to 78 computations (0% saved)

simplify132.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	4959	395
1	4959	395

prune63.0ms (1.3%)

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 447 to 349 computations (21.9% saved)

regimes180.0ms (3.8%)

Accuracy

Total 0.3b remaining (98.8%)

Threshold costs 0.3b (98.8%)

Compiler

Compiled 624 to 526 computations (15.7% 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%)

sample2.2s (45.4%)

Algorithm

1×

intervals

Results

1.2s	8000×	body	256	valid
218.0ms	8000×	pre	128	true

Compiler

Compiled 223 to 188 computations (15.7% saved)

Details

analyze605.0ms (12.8%)

sample60.0ms (1.3%)

simplify459.0ms (9.7%)

prune7.0ms (0.1%)

localize6.0ms (0.1%)

rewrite19.0ms (0.4%)

series70.0ms (1.5%)

simplify157.0ms (3.3%)

prune64.0ms (1.4%)

localize11.0ms (0.2%)

rewrite36.0ms (0.8%)

series75.0ms (1.6%)

simplify173.0ms (3.7%)

prune70.0ms (1.5%)

localize6.0ms (0.1%)

rewrite13.0ms (0.3%)

series45.0ms (1%)

simplify160.0ms (3.4%)

prune30.0ms (0.6%)

localize11.0ms (0.2%)

rewrite36.0ms (0.8%)

series97.0ms (2.1%)

simplify132.0ms (2.8%)

prune63.0ms (1.3%)

regimes180.0ms (3.8%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.2s (45.4%)

Profiling