Details

analyze296.0ms (6.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
0%	31.2%	68.8%	7
0%	31.2%	68.8%	8
0%	31.2%	68.8%	9
0%	28.1%	71.9%	10
6%	20.5%	73.5%	11
6.1%	20.4%	73.5%	12
7.7%	18.8%	73.5%	13
9.1%	16.6%	74.3%	14

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample49.0ms (1%)

Algorithm

1×

intervals

Results

13.0ms	29×	body	1024	valid
12.0ms	183×	body	128	valid
9.0ms	25×	body	512	valid
3.0ms	19×	body	256	valid
1.0ms	11×	body	128	nan
0.0ms	1×	body	128	invalid

Compiler

Compiled 27 to 29 computations (-7.4% saved)

simplify124.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	657	20
1	657	20

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

9.7b

Counts

2 → 1

Compiler

Compiled 26 to 24 computations (7.7% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
0.0b	(*.f64 z (log.f64 (-.f64 1 y)))
0.3b	(*.f64 x (log.f64 y))
4.6b	(log.f64 (-.f64 1 y))

rewrite35.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64_11694`
25×	`*-un-lft-identity_binary64_11672`
24×	`log-prod_binary64_11758`
14×	`add-cube-cbrt_binary64_11707`
11×	`pow1_binary64_11733`
9×	`add-log-exp_binary64_11711` `distribute-lft-in_binary64_11621` `add-exp-log_binary64_11710` `distribute-rgt-in_binary64_11622`
8×	`associate-r_binary64_11612` `add-cbrt-cube_binary64_11708`
7×	`difference-of-squares_binary64_11641`
6×	`associate-l_binary64_11613`
4×	`distribute-lft-out--_binary64_11624`
3×	`log-pow_binary64_11761` `cancel-sign-sub-inv_binary64_11638`
2×	`cbrt-unprod_binary64_11705` `flip3--_binary64_11676` `unswap-sqr_binary64_11640` `log-div_binary64_11759` `prod-exp_binary64_11721` `flip--_binary64_11647` `*-commutative_binary64_11603` `pow-prod-down_binary64_11743` `diff-log_binary64_11764`
1×	`sum-log_binary64_11763` `associate--l+_binary64_11609` `rem-log-exp_binary64_11713` `sub-neg_binary64_11665`

Counts

4 → 91

Calls

4 calls:

8.0ms	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
8.0ms	(*.f64 z (log.f64 (-.f64 1 y)))
5.0ms	(*.f64 x (log.f64 y))
4.0ms	(log.f64 (-.f64 1 y))

series150.0ms (3.2%)

Counts

4 → 12

Calls

4 calls:

71.0ms	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
37.0ms	(*.f64 z (log.f64 (-.f64 1 y)))
29.0ms	(*.f64 x (log.f64 y))
13.0ms	(log.f64 (-.f64 1 y))

simplify80.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5082	1527

prune119.0ms (2.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	96	7	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	97	7	104

Error

0.0b

Counts

104 → 7

Compiler

Compiled 2089 to 1127 computations (46.1% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3))) y))) t)
0.0b	(.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3)))
0.3b	(*.f64 x (log.f64 y))
0.3b	(*.f64 y 1/3)

rewrite31.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_11694`
14×	`pow1_binary64_11733` `*-un-lft-identity_binary64_11672`
13×	`add-exp-log_binary64_11710` `add-cbrt-cube_binary64_11708`
12×	`add-cube-cbrt_binary64_11707`
10×	`associate-r_binary64_11612`
9×	`add-log-exp_binary64_11711`
7×	`associate-l_binary64_11613`
6×	`log-prod_binary64_11758`
5×	`cbrt-unprod_binary64_11705` `cancel-sign-sub-inv_binary64_11638` `distribute-lft-in_binary64_11621` `prod-exp_binary64_11721` `distribute-rgt-in_binary64_11622` `pow-prod-down_binary64_11743`
3×	`unswap-sqr_binary64_11640` `*-commutative_binary64_11603` `sub-neg_binary64_11665`
2×	`flip3--_binary64_11676` `associate-*r/_binary64_11614` `flip--_binary64_11647` `diff-log_binary64_11764`
1×	`log-pow_binary64_11761` `distribute-lft-out--_binary64_11624` `sum-log_binary64_11763` `associate--l+_binary64_11609` `difference-of-squares_binary64_11641`

Counts

4 → 86

Calls

4 calls:

8.0ms	(.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3)))
7.0ms	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3))) y))) t)
5.0ms	(*.f64 x (log.f64 y))
4.0ms	(*.f64 y 1/3)

series239.0ms (5.2%)

Counts

4 → 12

Calls

4 calls:

147.0ms	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3))) y))) t)
52.0ms	(.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3)))
30.0ms	(*.f64 x (log.f64 y))
10.0ms	(*.f64 y 1/3)

simplify78.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4849	1506
1	4849	1506

prune112.0ms (2.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	96	2	98
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	97	8	105

Error

0.0b

Counts

105 → 8

Compiler

Compiled 2619 to 1340 computations (48.8% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
0.7b	(cbrt.f64 y)
0.7b	(cbrt.f64 y)
4.6b	(log.f64 (-.f64 1 y))

rewrite20.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`log-prod_binary64_11758`
14×	`add-sqr-sqrt_binary64_11694` `*-un-lft-identity_binary64_11672`
12×	`associate-+r+_binary64_11604` `cbrt-prod_binary64_11703`
11×	`add-cube-cbrt_binary64_11707`
6×	`add-log-exp_binary64_11711` `distribute-lft-in_binary64_11621` `distribute-rgt-in_binary64_11622`
5×	`pow1_binary64_11733` `add-exp-log_binary64_11710`
4×	`add-cbrt-cube_binary64_11708`
2×	`log-div_binary64_11759` `pow1/3_binary64_11754` `difference-of-squares_binary64_11641`
1×	`log-pow_binary64_11761` `distribute-lft-out--_binary64_11624` `sum-log_binary64_11763` `flip-+_binary64_11646` `flip3-+_binary64_11675` `+-commutative_binary64_11602` `flip3--_binary64_11676` `rem-log-exp_binary64_11713` `distribute-lft-out_binary64_11623` `flip--_binary64_11647`

Counts

4 → 63

Calls

4 calls:

8.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
4.0ms	(log.f64 (-.f64 1 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series259.0ms (5.6%)

Counts

4 → 12

Calls

4 calls:

87.0ms	(cbrt.f64 y)
82.0ms	(cbrt.f64 y)
77.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
13.0ms	(log.f64 (-.f64 1 y))

simplify74.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4991	768
1	4991	768

prune92.0ms (2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	76	7	83

Error

0.0b

Counts

83 → 7

Compiler

Compiled 2010 to 1053 computations (47.6% saved)

localize23.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (pow.f64 y 1/3))))
0.7b	(cbrt.f64 y)
4.6b	(log.f64 (-.f64 1 y))
5.1b	(pow.f64 y 1/3)

rewrite23.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`log-prod_binary64_11758`
15×	`add-sqr-sqrt_binary64_11694` `*-un-lft-identity_binary64_11672`
14×	`associate-+r+_binary64_11604`
12×	`add-cube-cbrt_binary64_11707`
9×	`unpow-prod-down_binary64_11751`
7×	`distribute-lft-in_binary64_11621` `distribute-rgt-in_binary64_11622`
6×	`pow1_binary64_11733` `add-log-exp_binary64_11711` `add-exp-log_binary64_11710`
4×	`add-cbrt-cube_binary64_11708`
3×	`sqr-pow_binary64_11644` `cbrt-prod_binary64_11703` `pow-unpow_binary64_11749`
2×	`log-div_binary64_11759` `difference-of-squares_binary64_11641`
1×	`pow-exp_binary64_11740` `pow-to-exp_binary64_11741` `log-pow_binary64_11761` `distribute-lft-out--_binary64_11624` `sum-log_binary64_11763` `flip-+_binary64_11646` `flip3-+_binary64_11675` `+-commutative_binary64_11602` `flip3--_binary64_11676` `pow-pow_binary64_11744` `pow1/3_binary64_11754` `rem-log-exp_binary64_11713` `distribute-lft-out_binary64_11623` `flip--_binary64_11647` `unpow1/3_binary64_11739`

Counts

4 → 72

Calls

4 calls:

9.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (pow.f64 y 1/3))))
4.0ms	(log.f64 (-.f64 1 y))
2.0ms	(pow.f64 y 1/3)
1.0ms	(cbrt.f64 y)

series296.0ms (6.4%)

Counts

4 → 12

Calls

4 calls:

102.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (pow.f64 y 1/3))))
100.0ms	(cbrt.f64 y)
81.0ms	(pow.f64 y 1/3)
13.0ms	(log.f64 (-.f64 1 y))

simplify79.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4861	741
1	4861	741

prune101.0ms (2.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	85	6	91

Error

0.0b

Counts

91 → 6

Compiler

Compiled 2084 to 1255 computations (39.8% saved)

regimes384.0ms (8.3%)

Accuracy

Total 0.2b remaining (88.3%)

Threshold costs 0.2b (88.3%)

Compiler

Compiled 3776 to 3090 computations (18.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	58	30
1	58	30

end0.0ms (0%)

sample1.9s (41.5%)

Algorithm

1×

intervals

Results

401.0ms	5789×	body	128	valid
304.0ms	640×	body	1024	valid
228.0ms	915×	body	512	valid
93.0ms	645×	body	256	valid
18.0ms	259×	body	128	nan
7.0ms	11×	body	2048	valid
2.0ms	24×	body	128	invalid

Compiler

Compiled 685 to 559 computations (18.4% saved)

Details

analyze296.0ms (6.4%)

sample49.0ms (1%)

simplify124.0ms (2.7%)

prune2.0ms (0.1%)

localize10.0ms (0.2%)

rewrite35.0ms (0.8%)

series150.0ms (3.2%)

simplify80.0ms (1.7%)

prune119.0ms (2.6%)

localize14.0ms (0.3%)

rewrite31.0ms (0.7%)

series239.0ms (5.2%)

simplify78.0ms (1.7%)

prune112.0ms (2.4%)

localize15.0ms (0.3%)

rewrite20.0ms (0.4%)

series259.0ms (5.6%)

simplify74.0ms (1.6%)

prune92.0ms (2%)

localize23.0ms (0.5%)

rewrite23.0ms (0.5%)

series296.0ms (6.4%)

simplify79.0ms (1.7%)

prune101.0ms (2.2%)

regimes384.0ms (8.3%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.9s (41.5%)

Profiling