Details

analyze348.0ms (13.8%)

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)

sample29.0ms (1.2%)

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)

simplify254.0ms (10.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (247.0ms)

Iter	Nodes	Cost
0	4827	7
1	4827	7

prune4.0ms (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)

localize3.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b

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

0.3b

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

rewrite14.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
7×	`add-sqr-sqrt_binary64_2146`
6×	`associate-l_binary64_2065`
5×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
4×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `associate-r_binary64_2064` `cbrt-unprod_binary64_2157`
2×	`*-commutative_binary64_2055` `add-log-exp_binary64_2163`
1×	`unswap-sqr_binary64_2092`

Counts

2 → 36

Calls

2 calls:

8.0ms

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

4.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

series32.0ms (1.3%)

Counts

2 → 6

Calls

2 calls:

20.0ms

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

12.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

simplify83.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4984	290
1	4984	290

prune36.0ms (1.4%)

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

Counts

43 → 6

Compiler

Compiled 370 to 255 computations (31.1% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b

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

0.2b

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

rewrite16.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
9×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
7×	`associate-r_binary64_2064`
5×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
4×	`associate-l_binary64_2065`
3×	`sqrt-prod_binary64_2140`
2×	`*-commutative_binary64_2055` `add-log-exp_binary64_2163`

Counts

2 → 42

Calls

2 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))

series32.0ms (1.3%)

Counts

2 → 6

Calls

2 calls:

20.0ms

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

11.0ms

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

simplify87.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5066	335

prune33.0ms (1.3%)

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

Error

Counts

54 → 6

Compiler

Compiled 430 to 319 computations (25.8% 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×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
3×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `add-sqr-sqrt_binary64_2146` `associate-r_binary64_2064` `cbrt-unprod_binary64_2157`
2×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
1×	`unswap-sqr_binary64_2092` `-commutative_binary64_2055` `add-log-exp_binary64_2163` `associate-l*_binary64_2065`

Counts

1 → 19

Calls

1 calls:

6.0ms

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

series20.0ms (0.8%)

Counts

1 → 3

Calls

1 calls:

20.0ms

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

simplify93.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	5392	176

prune15.0ms (0.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	22	6	28

Error

Counts

28 → 6

Compiler

Compiled 193 to 121 computations (37.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.3b

(*.f64 69617318994479288428505409468106852619915340402670484572597162535910920607533699795135926369/1087770609288739018116276647019455748771006705104961378712461595034426490595025393129804804639189577049885346787832834079429794483512744426310696916513970896780966442670885312576979206144 (pow.f64 t 6))

0.6b

(cbrt.f64 (*.f64 69617318994479288428505409468106852619915340402670484572597162535910920607533699795135926369/1087770609288739018116276647019455748771006705104961378712461595034426490595025393129804804639189577049885346787832834079429794483512744426310696916513970896780966442670885312576979206144 (pow.f64 t 6)))

rewrite10.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_2146`
7×	`associate-r_binary64_2064` `add-exp-log_binary64_2162`
5×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
4×	`unpow-prod-down_binary64_2203` `add-cbrt-cube_binary64_2160`
3×	`unswap-sqr_binary64_2092` `associate-l_binary64_2065` `prod-exp_binary64_2173`
2×	`pow1_binary64_2185` `add-log-exp_binary64_2163` `sqr-pow_binary64_2096`
1×	`pow-exp_binary64_2192` `*-commutative_binary64_2055` `pow1/3_binary64_2206` `cbrt-prod_binary64_2155` `pow-to-exp_binary64_2193` `cbrt-unprod_binary64_2157`

Counts

2 → 34

Calls

2 calls:

5.0ms

(*.f64 69617318994479288428505409468106852619915340402670484572597162535910920607533699795135926369/1087770609288739018116276647019455748771006705104961378712461595034426490595025393129804804639189577049885346787832834079429794483512744426310696916513970896780966442670885312576979206144 (pow.f64 t 6))

3.0ms

(cbrt.f64 (*.f64 69617318994479288428505409468106852619915340402670484572597162535910920607533699795135926369/1087770609288739018116276647019455748771006705104961378712461595034426490595025393129804804639189577049885346787832834079429794483512744426310696916513970896780966442670885312576979206144 (pow.f64 t 6)))

series64.0ms (2.5%)

Counts

2 → 6

Calls

2 calls:

34.0ms

(cbrt.f64 (*.f64 69617318994479288428505409468106852619915340402670484572597162535910920607533699795135926369/1087770609288739018116276647019455748771006705104961378712461595034426490595025393129804804639189577049885346787832834079429794483512744426310696916513970896780966442670885312576979206144 (pow.f64 t 6)))

30.0ms

(*.f64 69617318994479288428505409468106852619915340402670484572597162535910920607533699795135926369/1087770609288739018116276647019455748771006705104961378712461595034426490595025393129804804639189577049885346787832834079429794483512744426310696916513970896780966442670885312576979206144 (pow.f64 t 6))

simplify66.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5292	353

prune27.0ms (1.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	40	6	46

Error

Counts

46 → 6

Compiler

Compiled 372 to 313 computations (15.9% saved)

regimes91.0ms (3.6%)

Accuracy

Total 0.3b remaining (98.1%)

Threshold costs 0.3b (98.1%)

Compiler

Compiled 594 to 485 computations (18.4% 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%)

sample1.1s (45.4%)

Algorithm

1×

intervals

Results

630.0ms	8000×	body	256	valid
115.0ms	8000×	pre	128	true

Compiler

Compiled 218 to 179 computations (17.9% saved)

Details

analyze348.0ms (13.8%)

sample29.0ms (1.2%)

simplify254.0ms (10.1%)

prune4.0ms (0.1%)

localize3.0ms (0.1%)

rewrite14.0ms (0.5%)

series32.0ms (1.3%)

simplify83.0ms (3.3%)

prune36.0ms (1.4%)

localize5.0ms (0.2%)

rewrite16.0ms (0.6%)

series32.0ms (1.3%)

simplify87.0ms (3.4%)

prune33.0ms (1.3%)

localize3.0ms (0.1%)

rewrite7.0ms (0.3%)

series20.0ms (0.8%)

simplify93.0ms (3.7%)

prune15.0ms (0.6%)

localize5.0ms (0.2%)

rewrite10.0ms (0.4%)

series64.0ms (2.5%)

simplify66.0ms (2.6%)

prune27.0ms (1.1%)

regimes91.0ms (3.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.1s (45.4%)

Profiling