Details

analyze697.0ms (7.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5332	140
0	4	4
1	4	4

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)

sample46.0ms (0.5%)

Algorithm

1×

intervals

Results

13.0ms	185×	body	128	valid
9.0ms	19×	body	1024	valid
6.0ms	25×	body	512	valid
4.0ms	26×	body	256	valid
1.0ms	1×	body	2048	valid
0.0ms	7×	body	128	nan
0.0ms	1×	body	128	invalid

Compiler

Compiled 27 to 29 computations (-7.4% saved)

simplify40.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	657	20
1	657	20

prune4.0ms (0%)

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

9.0b

Counts

2 → 1

Compiler

Compiled 26 to 24 computations (7.7% saved)

localize23.0ms (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))
7.4b	(log.f64 (-.f64 1 y))

rewrite180.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

8.6b

Rules

29×	`add-sqr-sqrt_binary64_13399`
25×	`*-un-lft-identity_binary64_13377`
24×	`log-prod_binary64_13463`
14×	`add-cube-cbrt_binary64_13412`
11×	`pow1_binary64_13438`
9×	`add-exp-log_binary64_13415` `add-log-exp_binary64_13416` `distribute-rgt-in_binary64_13327` `distribute-lft-in_binary64_13326`
8×	`add-cbrt-cube_binary64_13413` `associate-r_binary64_13317`
7×	`difference-of-squares_binary64_13346`
6×	`associate-l_binary64_13318`
4×	`distribute-lft-out--_binary64_13329`
3×	`log-pow_binary64_13466` `cancel-sign-sub-inv_binary64_13343`
2×	`flip3--_binary64_13381` `log-div_binary64_13464` `flip--_binary64_13352` `pow-prod-down_binary64_13448` `prod-exp_binary64_13426` `cbrt-unprod_binary64_13410` `unswap-sqr_binary64_13345` `*-commutative_binary64_13308` `diff-log_binary64_13469`
1×	`rem-log-exp_binary64_13418` `sum-log_binary64_13468` `sub-neg_binary64_13370` `associate--l+_binary64_13314`

Counts

4 → 91

Calls

4 calls:

11.0ms	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
9.0ms	(*.f64 z (log.f64 (-.f64 1 y)))
9.0ms	(*.f64 x (log.f64 y))
7.0ms	(log.f64 (-.f64 1 y))

Compiler

Compiled 1855 to 997 computations (46.3% saved)

series1.1s (11.8%)

Error

0.1b

Counts

4 → 45

Calls

4 calls:

729.0ms	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
167.0ms	(*.f64 x (log.f64 y))
134.0ms	(*.f64 z (log.f64 (-.f64 1 y)))
32.0ms	(log.f64 (-.f64 1 y))

Compiler

Compiled 1629 to 1252 computations (23.1% saved)

simplify105.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5200	1933

prune134.0ms (1.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	131	5	136
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	132	5	137

Error

0.0b

Counts

137 → 5

Compiler

Compiled 2383 to 1233 computations (48.3% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 z (-.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 1/2 (.f64 y 1/3)))))
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)

rewrite170.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`add-sqr-sqrt_binary64_13399`
16×	`pow1_binary64_13438`
15×	`add-exp-log_binary64_13415` `add-cbrt-cube_binary64_13413`
13×	`add-cube-cbrt_binary64_13412` `-un-lft-identity_binary64_13377` `associate-r*_binary64_13317`
10×	`associate-l_binary64_13318`
6×	`pow-prod-down_binary64_13448` `prod-exp_binary64_13426` `cbrt-unprod_binary64_13410` `log-prod_binary64_13463` `distribute-rgt-in_binary64_13327` `distribute-lft-in_binary64_13326`
4×	`add-log-exp_binary64_13416` `unswap-sqr_binary64_13345` `-commutative_binary64_13308` `associate-r/_binary64_13319`
2×	`sub-neg_binary64_13370` `cancel-sign-sub-inv_binary64_13343`
1×	`log-pow_binary64_13466` `flip3-+_binary64_13380` `flip-+_binary64_13351` `flip3--_binary64_13381` `flip--_binary64_13352`

Counts

4 → 90

Calls

4 calls:

15.0ms	(.f64 (.f64 y y) (+.f64 1/2 (*.f64 y 1/3)))
12.0ms	(.f64 z (-.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 1/2 (.f64 y 1/3)))))
9.0ms	(*.f64 x (log.f64 y))
4.0ms	(*.f64 y 1/3)

Compiler

Compiled 2587 to 1261 computations (51.3% saved)

series558.0ms (5.9%)

Error

0.0b

Counts

4 → 27

Calls

4 calls:

278.0ms	(.f64 z (-.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 1/2 (.f64 y 1/3)))))
127.0ms	(*.f64 x (log.f64 y))
80.0ms	(.f64 (.f64 y y) (+.f64 1/2 (*.f64 y 1/3)))
29.0ms	(*.f64 y 1/3)

Compiler

Compiled 1572 to 1152 computations (26.7% saved)

simplify83.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5034	1557

prune164.0ms (1.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	115	2	117
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	115	7	122

Error

0.0b

Counts

122 → 7

Compiler

Compiled 3039 to 1569 computations (48.4% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 y y) (+.f64 1/2 (*.f64 y 1/3)))
0.3b	(*.f64 (log.f64 y) x)
0.3b	(*.f64 y 1/3)
6.9b	(.f64 z (.f64 (.f64 y y) (+.f64 1/2 (.f64 y 1/3))))

rewrite156.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`pow1_binary64_13438`
22×	`add-exp-log_binary64_13415` `add-cbrt-cube_binary64_13413`
15×	`add-sqr-sqrt_binary64_13399`
11×	`pow-prod-down_binary64_13448` `prod-exp_binary64_13426` `cbrt-unprod_binary64_13410` `associate-l_binary64_13318`
10×	`add-cube-cbrt_binary64_13412` `-un-lft-identity_binary64_13377` `associate-r*_binary64_13317`
6×	`associate-*r/_binary64_13319`
5×	`distribute-rgt-in_binary64_13327` `distribute-lft-in_binary64_13326`
4×	`add-log-exp_binary64_13416` `*-commutative_binary64_13308`
3×	`unswap-sqr_binary64_13345`
2×	`flip3-+_binary64_13380` `flip-+_binary64_13351`
1×	`log-pow_binary64_13466`

Counts

4 → 87

Calls

4 calls:

14.0ms	(.f64 z (.f64 (.f64 y y) (+.f64 1/2 (.f64 y 1/3))))
8.0ms	(.f64 (.f64 y y) (+.f64 1/2 (*.f64 y 1/3)))
4.0ms	(*.f64 (log.f64 y) x)
4.0ms	(*.f64 y 1/3)

Compiler

Compiled 2521 to 1191 computations (52.8% saved)

series411.0ms (4.3%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

160.0ms	(.f64 z (.f64 (.f64 y y) (+.f64 1/2 (.f64 y 1/3))))
142.0ms	(*.f64 (log.f64 y) x)
67.0ms	(.f64 (.f64 y y) (+.f64 1/2 (*.f64 y 1/3)))
19.0ms	(*.f64 y 1/3)

Compiler

Compiled 1491 to 1038 computations (30.4% saved)

simplify122.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4933	1342
1	4933	1342

prune130.0ms (1.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	111	7	118

Error

0.0b

Counts

118 → 7

Compiler

Compiled 2924 to 1427 computations (51.2% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (.f64 z (.f64 y (-.f64 -1 (.f64 y (+.f64 (.f64 1/3 y) 1/2))))) 3)
0.3b	(*.f64 x (log.f64 y))
0.3b	(*.f64 1/3 y)
26.2b	(cbrt.f64 (pow.f64 (.f64 z (.f64 y (-.f64 -1 (.f64 y (+.f64 (.f64 1/3 y) 1/2))))) 3))

rewrite170.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-sqr-sqrt_binary64_13399`
15×	`pow1_binary64_13438`
14×	`add-exp-log_binary64_13415` `add-cbrt-cube_binary64_13413`
12×	`add-cube-cbrt_binary64_13412` `*-un-lft-identity_binary64_13377`
8×	`associate-*r/_binary64_13319` `cbrt-prod_binary64_13408`
7×	`associate-r_binary64_13317`
6×	`associate-l_binary64_13318` `log-prod_binary64_13463`
5×	`pow-prod-down_binary64_13448` `prod-exp_binary64_13426` `cbrt-unprod_binary64_13410`
4×	`add-log-exp_binary64_13416` `cube-div_binary64_13406`
3×	`distribute-rgt-in_binary64_13327` `distribute-lft-in_binary64_13326` `pow-unpow_binary64_13454` `pow-pow_binary64_13449` `pow-exp_binary64_13445` `rem-cube-cbrt_binary64_13400`
2×	`flip3--_binary64_13381` `cbrt-div_binary64_13409` `flip--_binary64_13352` `unpow-prod-down_binary64_13456` `unpow3_binary64_13443` `cube-mult_binary64_13407` `cube-prod_binary64_13405` `sqr-pow_binary64_13349` `unswap-sqr_binary64_13345` `*-commutative_binary64_13308`
1×	`pow1/3_binary64_13459` `rem-cbrt-cube_binary64_13401` `log-pow_binary64_13466` `pow-to-exp_binary64_13446`

Counts

4 → 89

Calls

4 calls:

8.0ms	(pow.f64 (.f64 z (.f64 y (-.f64 -1 (.f64 y (+.f64 (.f64 1/3 y) 1/2))))) 3)
7.0ms	(*.f64 1/3 y)
6.0ms	(cbrt.f64 (pow.f64 (.f64 z (.f64 y (-.f64 -1 (.f64 y (+.f64 (.f64 1/3 y) 1/2))))) 3))
5.0ms	(*.f64 x (log.f64 y))

Compiler

Compiled 2900 to 1881 computations (35.1% saved)

series767.0ms (8.1%)

Error

0.0b

Counts

4 → 29

Calls

4 calls:

297.0ms	(cbrt.f64 (pow.f64 (.f64 z (.f64 y (-.f64 -1 (.f64 y (+.f64 (.f64 1/3 y) 1/2))))) 3))
246.0ms	(pow.f64 (.f64 z (.f64 y (-.f64 -1 (.f64 y (+.f64 (.f64 1/3 y) 1/2))))) 3)
156.0ms	(*.f64 x (log.f64 y))
20.0ms	(*.f64 1/3 y)

Compiler

Compiled 2058 to 1653 computations (19.7% saved)

simplify54.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5023	1942

prune169.0ms (1.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	118	7	125

Error

0.0b

Counts

125 → 7

Compiler

Compiled 3233 to 2026 computations (37.3% saved)

regimes866.0ms (9.1%)

Accuracy

Total 0.2b remaining (84.4%)

Threshold costs 0.2b (84.4%)

Compiler

Compiled 8270 to 6566 computations (20.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	117	30
1	117	30

end0.0ms (0%)

sample3.3s (34.5%)

Algorithm

1×

intervals

Results

510.0ms	5814×	body	128	valid
418.0ms	693×	body	1024	valid
263.0ms	819×	body	512	valid
120.0ms	647×	body	256	valid
27.0ms	227×	body	128	nan
25.0ms	27×	body	2048	valid
2.0ms	30×	body	128	invalid

Compiler

Compiled 1363 to 1084 computations (20.5% saved)

Details

analyze697.0ms (7.3%)

sample46.0ms (0.5%)

simplify40.0ms (0.4%)

prune4.0ms (0%)

localize23.0ms (0.2%)

rewrite180.0ms (1.9%)

series1.1s (11.8%)

simplify105.0ms (1.1%)

prune134.0ms (1.4%)

localize16.0ms (0.2%)

rewrite170.0ms (1.8%)

series558.0ms (5.9%)

simplify83.0ms (0.9%)

prune164.0ms (1.7%)

localize15.0ms (0.2%)

rewrite156.0ms (1.6%)

series411.0ms (4.3%)

simplify122.0ms (1.3%)

prune130.0ms (1.4%)

localize27.0ms (0.3%)

rewrite170.0ms (1.8%)

series767.0ms (8.1%)

simplify54.0ms (0.6%)

prune169.0ms (1.8%)

regimes866.0ms (9.1%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample3.3s (34.5%)

Profiling