Details

analyze496.0ms (11.6%)

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)

sample45.0ms (1%)

Algorithm

1×

intervals

Results

26.0ms	256×	body	256	valid
5.0ms	256×	pre	128	true

Compiler

Compiled 42 to 38 computations (9.5% saved)

simplify335.0ms (7.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (328.0ms)

Iter	Nodes	Cost
0	4827	7
1	4827	7

prune7.0ms (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

Error

0.4b

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)

rewrite56.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
7×	`add-sqr-sqrt_binary64_1123`
6×	`associate-l_binary64_1042`
5×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
4×	`pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `associate-r_binary64_1041`
2×	`add-log-exp_binary64_1140` `*-commutative_binary64_1032`
1×	`unswap-sqr_binary64_1069`

Counts

2 → 36

Calls

2 calls:

9.0ms

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

4.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

Compiler

Compiled 356 to 232 computations (34.8% saved)

series59.0ms (1.4%)

Error

0.2b

Counts

2 → 6

Calls

2 calls:

31.0ms

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

24.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

Compiler

Compiled 90 to 76 computations (15.6% saved)

simplify134.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (121.0ms)

Iter	Nodes	Cost
0	4984	290
1	4984	290

prune69.0ms (1.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	33	9	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	34	9	43

Error

Counts

43 → 9

Compiler

Compiled 414 to 277 computations (33.1% saved)

localize10.0ms (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)))

rewrite71.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
9×	`pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134`
7×	`associate-r_binary64_1041`
5×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
4×	`associate-l_binary64_1042`
3×	`sqrt-prod_binary64_1117`
2×	`add-log-exp_binary64_1140` `*-commutative_binary64_1032`

Counts

2 → 42

Calls

2 calls:

13.0ms

(*.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)

series61.0ms (1.4%)

Error

Counts

2 → 6

Calls

2 calls:

39.0ms

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

19.0ms

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

Compiler

Compiled 90 to 76 computations (15.6% saved)

simplify117.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	5066	335

prune63.0ms (1.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	47	1	48
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	49	8	57

Error

Counts

57 → 8

Compiler

Compiled 462 to 341 computations (26.2% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite22.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
3×	`pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `add-sqr-sqrt_binary64_1123` `associate-l_binary64_1042`
2×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
1×	`add-log-exp_binary64_1140` `unswap-sqr_binary64_1069` `associate-r_binary64_1041` `*-commutative_binary64_1032`

Counts

1 → 19

Calls

1 calls:

11.0ms

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

Compiler

Compiled 193 to 113 computations (41.5% saved)

series24.0ms (0.6%)

Error

Counts

1 → 3

Calls

1 calls:

22.0ms

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

Compiler

Compiled 45 to 43 computations (4.4% saved)

simplify58.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4846	174
1	4846	174

prune25.0ms (0.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	22	8	30

Error

Counts

30 → 8

Compiler

Compiled 227 to 151 computations (33.5% saved)

localize14.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.3b

(*.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (pow.f64 t 3/2))

0.4b

(*.f64 (sqrt.f64 t) (*.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (pow.f64 t 3/2)))

rewrite60.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

17×	`add-exp-log_binary64_1139`
12×	`add-sqr-sqrt_binary64_1123`
10×	`prod-exp_binary64_1150`
9×	`add-cbrt-cube_binary64_1137` `associate-l_binary64_1042`
8×	`associate-r_binary64_1041`
7×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
4×	`pow1_binary64_1162` `cbrt-unprod_binary64_1134` `unpow-prod-down_binary64_1180`
3×	`sqrt-prod_binary64_1117` `unswap-sqr_binary64_1069`
2×	`pow-to-exp_binary64_1170` `pow-exp_binary64_1169` `add-log-exp_binary64_1140` `*-commutative_binary64_1032` `sqr-pow_binary64_1073`
1×	`pow-prod-down_binary64_1172`

Counts

2 → 47

Calls

2 calls:

11.0ms

(*.f64 (sqrt.f64 t) (*.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (pow.f64 t 3/2)))

5.0ms

(*.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (pow.f64 t 3/2))

Compiler

Compiled 679 to 464 computations (31.7% saved)

series53.0ms (1.2%)

Error

Counts

2 → 6

Calls

2 calls:

32.0ms

(*.f64 (sqrt.f64 t) (*.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (pow.f64 t 3/2)))

17.0ms

(*.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (pow.f64 t 3/2))

Compiler

Compiled 157 to 132 computations (15.9% saved)

simplify78.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5176	481

prune47.0ms (1.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	53	8	61

Error

Counts

61 → 8

Compiler

Compiled 556 to 357 computations (35.8% saved)

regimes209.0ms (4.9%)

Accuracy

Total 0.3b remaining (99.4%)

Threshold costs 0.3b (99.4%)

Compiler

Compiled 1272 to 1015 computations (20.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

end0.0ms (0%)

sample2.1s (50.3%)

Algorithm

1×

intervals

Results

763.0ms	8000×	body	256	valid
404.0ms	8000×	pre	128	true

Compiler

Compiled 441 to 353 computations (20% saved)

Details

analyze496.0ms (11.6%)

sample45.0ms (1%)

simplify335.0ms (7.8%)

prune7.0ms (0.2%)

localize3.0ms (0.1%)

rewrite56.0ms (1.3%)

series59.0ms (1.4%)

simplify134.0ms (3.1%)

prune69.0ms (1.6%)

localize10.0ms (0.2%)

rewrite71.0ms (1.7%)

series61.0ms (1.4%)

simplify117.0ms (2.7%)

prune63.0ms (1.5%)

localize6.0ms (0.1%)

rewrite22.0ms (0.5%)

series24.0ms (0.6%)

simplify58.0ms (1.4%)

prune25.0ms (0.6%)

localize14.0ms (0.3%)

rewrite60.0ms (1.4%)

series53.0ms (1.2%)

simplify78.0ms (1.8%)

prune47.0ms (1.1%)

regimes209.0ms (4.9%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.1s (50.3%)

Profiling