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)

sample28.0ms (1.4%)

Algorithm

1×

intervals

Results

19.0ms	256×	body	256	valid
4.0ms	256×	pre	128	true

Compiler

Compiled 42 to 38 computations (9.5% saved)

simplify307.0ms (15%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (144.0ms)

Iter	Nodes	Cost
0	5064	7

prune3.0ms (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)

rewrite11.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-cbrt-cube_binary64_1121` `add-exp-log_binary64_1123` `pow1_binary64_1146`
7×	`add-sqr-sqrt_binary64_1109`
6×	`associate-l_binary64_1031`
5×	`*-un-lft-identity_binary64_1088` `add-cube-cbrt_binary64_1120`
4×	`associate-r_binary64_1030` `cbrt-unprod_binary64_1118` `pow-prod-down_binary64_1156` `prod-exp_binary64_1134`
2×	`*-commutative_binary64_1021` `add-log-exp_binary64_1124`
1×	`unswap-sqr_binary64_1056`

Counts

2 → 36

Calls

2 calls:

5.0ms

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

4.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

series61.0ms (3%)

Counts

2 → 6

Calls

2 calls:

39.0ms

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

22.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

simplify113.0ms (5.5%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	4808	290
1	4808	290

prune35.0ms (1.7%)

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

Merged error: 0.0b

Counts

43 → 7

Compiler

Compiled 388 to 272 computations (29.9% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite7.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64_1121` `add-exp-log_binary64_1123` `pow1_binary64_1146`
3×	`associate-r_binary64_1030` `add-sqr-sqrt_binary64_1109` `cbrt-unprod_binary64_1118` `pow-prod-down_binary64_1156` `prod-exp_binary64_1134`
2×	`*-un-lft-identity_binary64_1088` `add-cube-cbrt_binary64_1120`
1×	`-commutative_binary64_1021` `unswap-sqr_binary64_1056` `associate-l*_binary64_1031` `add-log-exp_binary64_1124`

Counts

1 → 19

Calls

1 calls:

6.0ms

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

series42.0ms (2.1%)

Counts

1 → 3

Calls

1 calls:

42.0ms

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

simplify75.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4789	176
1	4789	176

prune17.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	20	2	22
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	23	6	29

Merged error: 0b

Counts

29 → 6

Compiler

Compiled 204 to 135 computations (33.8% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.2b

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

0.2b

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

rewrite17.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-cbrt-cube_binary64_1121` `add-exp-log_binary64_1123` `pow1_binary64_1146`
9×	`cbrt-unprod_binary64_1118` `pow-prod-down_binary64_1156` `prod-exp_binary64_1134`
7×	`associate-r_binary64_1030`
5×	`add-sqr-sqrt_binary64_1109` `*-un-lft-identity_binary64_1088` `add-cube-cbrt_binary64_1120`
4×	`associate-l_binary64_1031`
3×	`sqrt-prod_binary64_1103`
2×	`*-commutative_binary64_1021` `add-log-exp_binary64_1124`

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))

series77.0ms (3.8%)

Counts

2 → 6

Calls

2 calls:

43.0ms

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

34.0ms

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

simplify82.0ms (4%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4969	395
1	4969	395

prune35.0ms (1.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	48	6	54

Merged error: 0b

Counts

54 → 6

Compiler

Compiled 479 to 377 computations (21.3% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.4b	(.f64 (.f64 t 2028240960365167/10141204801825835211973625643008) (*.f64 t 2028240960365167/10141204801825835211973625643008))

rewrite12.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`pow1_binary64_1146`
17×	`pow-prod-down_binary64_1156`
13×	`add-cbrt-cube_binary64_1121` `add-exp-log_binary64_1123`
8×	`cbrt-unprod_binary64_1118` `prod-exp_binary64_1134`
4×	`pow-sqr_binary64_1061` `pow-prod-up_binary64_1155`
2×	`pow-plus_binary64_1148`
1×	`-commutative_binary64_1021` `swap-sqr_binary64_1055` `associate-r_binary64_1030` `add-sqr-sqrt_binary64_1109` `pow2_binary64_1166` `associate-l_binary64_1031` `add-log-exp_binary64_1124` `-un-lft-identity_binary64_1088` `add-cube-cbrt_binary64_1120`

Counts

1 → 34

Calls

1 calls:

7.0ms

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

series38.0ms (1.9%)

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify62.0ms (3%)

Algorithm

1×	egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4829	205
1	4829	205

prune20.0ms (1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	37	0	37
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	37	6	43

Merged error: 0b

Counts

43 → 6

Compiler

Compiled 241 to 185 computations (23.2% saved)

regimes27.0ms (1.3%)

Compiler: Compiled 98 to 86 computations (12.2% 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%)

sample964.0ms (47%)

Algorithm

1×

intervals

Results

605.0ms	8000×	body	256	valid
115.0ms	8000×	pre	128	true

Compiler

Compiled 93 to 82 computations (11.8% saved)

Details

analyze2.0ms (0.1%)

sample28.0ms (1.4%)

simplify307.0ms (15%)

prune3.0ms (0.2%)

localize3.0ms (0.1%)

rewrite11.0ms (0.5%)

series61.0ms (3%)

simplify113.0ms (5.5%)

prune35.0ms (1.7%)

localize3.0ms (0.1%)

rewrite7.0ms (0.3%)

series42.0ms (2.1%)

simplify75.0ms (3.7%)

prune17.0ms (0.8%)

localize5.0ms (0.3%)

rewrite17.0ms (0.8%)

series77.0ms (3.8%)

simplify82.0ms (4%)

prune35.0ms (1.7%)

localize3.0ms (0.2%)

rewrite12.0ms (0.6%)

series38.0ms (1.9%)

simplify62.0ms (3%)

prune20.0ms (1%)

regimes27.0ms (1.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample964.0ms (47%)

Profiling