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)

sample31.0ms (1.3%)

Algorithm

1×

intervals

Results

20.0ms	256×	body	256	valid
4.0ms	256×	pre	128	true

Compiler

Compiled 42 to 38 computations (9.5% saved)

simplify336.0ms (14.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (241.0ms)

Iter	Nodes	Cost
0	4827	7
1	4827	7

prune7.0ms (0.3%)

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 4 expressions with local error:

0.3b	(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)
0.2b	(.f64 t (.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))
0.2b	(.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_1106` `add-exp-log_binary64_1108` `pow1_binary64_1131`
7×	`add-sqr-sqrt_binary64_1092`
6×	`associate-l_binary64_1011`
5×	`*-un-lft-identity_binary64_1070` `add-cube-cbrt_binary64_1105`
4×	`associate-r_binary64_1010` `cbrt-unprod_binary64_1103` `prod-exp_binary64_1119` `pow-prod-down_binary64_1141`
2×	`*-commutative_binary64_1001` `add-log-exp_binary64_1109`
1×	`unswap-sqr_binary64_1038`

Counts

2 → 36

Calls

4 calls:

5.0ms	(.f64 t (.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))
4.0ms	(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)
0.0ms	(.f64 t (.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))
0.0ms	(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

series41.0ms (1.7%)

Counts

2 → 6

Calls

2 calls:

24.0ms

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

17.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

Compiler

Compiled 60 to 54 computations (10% saved)

simplify82.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4984	290
1	4984	290

prune43.0ms (1.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	37	5	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	6	43

Error

0.0b

Counts

43 → 6

Compiler

Compiled 367 to 254 computations (30.8% saved)

localize6.0ms (0.2%)

Local error

Found 4 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)))
0.2b	(.f64 t (.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)))
0.2b	(.f64 (.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))

rewrite17.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-cbrt-cube_binary64_1106` `add-exp-log_binary64_1108` `pow1_binary64_1131`
9×	`cbrt-unprod_binary64_1103` `prod-exp_binary64_1119` `pow-prod-down_binary64_1141`
7×	`associate-r_binary64_1010`
5×	`add-sqr-sqrt_binary64_1092` `*-un-lft-identity_binary64_1070` `add-cube-cbrt_binary64_1105`
4×	`associate-l_binary64_1011`
3×	`sqrt-prod_binary64_1086`
2×	`*-commutative_binary64_1001` `add-log-exp_binary64_1109`

Counts

2 → 42

Calls

4 calls:

8.0ms	(.f64 t (.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)))
6.0ms	(.f64 (.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))
0.0ms	(.f64 t (.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)))
0.0ms	(.f64 (.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))

series42.0ms (1.8%)

Counts

2 → 6

Calls

2 calls:

25.0ms

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

17.0ms

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

Compiler

Compiled 60 to 54 computations (10% saved)

simplify87.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5066	335

prune34.0ms (1.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	47	1	48
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	47	7	54

Error

0.0b

Counts

54 → 7

Compiler

Compiled 435 to 325 computations (25.3% saved)

localize6.0ms (0.3%)

Local error

Found 4 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))
0.2b	(.f64 t (.f64 t 2028240960365167/10141204801825835211973625643008))
0.2b	(.f64 (.f64 t (*.f64 t 2028240960365167/10141204801825835211973625643008)) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))

rewrite19.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-cbrt-cube_binary64_1106` `add-exp-log_binary64_1108` `pow1_binary64_1131`
9×	`cbrt-unprod_binary64_1103` `prod-exp_binary64_1119` `pow-prod-down_binary64_1141`
7×	`associate-r_binary64_1010`
5×	`add-sqr-sqrt_binary64_1092` `*-un-lft-identity_binary64_1070` `add-cube-cbrt_binary64_1105`
4×	`associate-l_binary64_1011`
3×	`sqrt-prod_binary64_1086`
2×	`*-commutative_binary64_1001` `add-log-exp_binary64_1109`

Counts

2 → 42

Calls

4 calls:

8.0ms	(.f64 (.f64 t (*.f64 t 2028240960365167/10141204801825835211973625643008)) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))
5.0ms	(.f64 t (.f64 t 2028240960365167/10141204801825835211973625643008))
0.0ms	(.f64 t (.f64 t 2028240960365167/10141204801825835211973625643008))
0.0ms	(.f64 (.f64 t (*.f64 t 2028240960365167/10141204801825835211973625643008)) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))

series49.0ms (2.1%)

Counts

2 → 6

Calls

2 calls:

25.0ms

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

24.0ms

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

Compiler

Compiled 78 to 78 computations (0% saved)

simplify69.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4959	395
1	4959	395

prune41.0ms (1.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	48	7	55

Error

Counts

55 → 7

Compiler

Compiled 486 to 385 computations (20.8% saved)

localize3.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.4b

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

0.4b

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

rewrite7.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64_1106` `add-exp-log_binary64_1108` `pow1_binary64_1131`
3×	`associate-r_binary64_1010` `cbrt-unprod_binary64_1103` `prod-exp_binary64_1119` `add-sqr-sqrt_binary64_1092` `pow-prod-down_binary64_1141`
2×	`*-un-lft-identity_binary64_1070` `add-cube-cbrt_binary64_1105`
1×	`-commutative_binary64_1001` `associate-l*_binary64_1011` `unswap-sqr_binary64_1038` `add-log-exp_binary64_1109`

Counts

1 → 19

Calls

2 calls:

6.0ms

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

0.0ms

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

series25.0ms (1%)

Counts

1 → 3

Calls

1 calls:

24.0ms

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

Compiler

Compiled 30 to 30 computations (0% saved)

simplify84.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	5392	176

prune13.0ms (0.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	22	7	29

Error

Counts

29 → 7

Compiler

Compiled 164 to 100 computations (39% saved)

regimes101.0ms (4.3%)

Accuracy

Total 0.3b remaining (99.2%)

Threshold costs 0.3b (99.2%)

Compiler

Compiled 765 to 638 computations (16.6% 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%)

sample1.2s (51%)

Algorithm

1×

intervals

Results

628.0ms	8000×	body	256	valid
120.0ms	8000×	pre	128	true

Compiler

Compiled 275 to 230 computations (16.4% saved)

Pareto

Details

analyze2.0ms (0.1%)

sample31.0ms (1.3%)

simplify336.0ms (14.2%)

prune7.0ms (0.3%)

localize3.0ms (0.1%)

rewrite11.0ms (0.5%)

series41.0ms (1.7%)

simplify82.0ms (3.5%)

prune43.0ms (1.8%)

localize6.0ms (0.2%)

rewrite17.0ms (0.7%)

series42.0ms (1.8%)

simplify87.0ms (3.6%)

prune34.0ms (1.4%)

localize6.0ms (0.3%)

rewrite19.0ms (0.8%)

series49.0ms (2.1%)

simplify69.0ms (2.9%)

prune41.0ms (1.7%)

localize3.0ms (0.1%)

rewrite7.0ms (0.3%)

series25.0ms (1%)

simplify84.0ms (3.5%)

prune13.0ms (0.5%)

regimes101.0ms (4.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.2s (51%)

Profiling