Details

analyze310.0ms (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)

sample48.0ms (0.6%)

Algorithm

1×

intervals

Results

13.0ms	185×	body	128	valid
9.0ms	19×	body	1024	valid
6.0ms	25×	body	512	valid
6.0ms	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)

simplify124.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	657	20
1	657	20

prune3.0ms (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)

localize12.0ms (0.2%)

Local error

Found 8 expressions with local error:

7.4b	(log.f64 (-.f64 1 y))
0.3b	(*.f64 x (log.f64 y))
0.0b	(*.f64 z (log.f64 (-.f64 1 y)))
0.0b	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
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))

rewrite36.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64_12376`
25×	`*-un-lft-identity_binary64_12354`
24×	`log-prod_binary64_12440`
14×	`add-cube-cbrt_binary64_12389`
11×	`pow1_binary64_12415`
9×	`add-log-exp_binary64_12393` `distribute-lft-in_binary64_12303` `distribute-rgt-in_binary64_12304` `add-exp-log_binary64_12392`
8×	`associate-r_binary64_12294` `add-cbrt-cube_binary64_12390`
7×	`difference-of-squares_binary64_12323`
6×	`associate-l_binary64_12295`
4×	`distribute-lft-out--_binary64_12306`
3×	`log-pow_binary64_12443` `cancel-sign-sub-inv_binary64_12320`
2×	`pow-prod-down_binary64_12425` `flip--_binary64_12329` `cbrt-unprod_binary64_12387` `diff-log_binary64_12446` `log-div_binary64_12441` `prod-exp_binary64_12403` `flip3--_binary64_12358` `unswap-sqr_binary64_12322` `*-commutative_binary64_12285`
1×	`rem-log-exp_binary64_12395` `sum-log_binary64_12445` `sub-neg_binary64_12347` `associate--l+_binary64_12291`

Counts

4 → 91

Calls

8 calls:

11.0ms	(*.f64 z (log.f64 (-.f64 1 y)))
7.0ms	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
5.0ms	(*.f64 x (log.f64 y))
5.0ms	(log.f64 (-.f64 1 y))
0.0ms	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)

series771.0ms (10.1%)

Counts

4 → 45

Calls

4 calls:

522.0ms	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
118.0ms	(*.f64 x (log.f64 y))
106.0ms	(*.f64 z (log.f64 (-.f64 1 y)))
24.0ms	(log.f64 (-.f64 1 y))

Compiler

Compiled 999 to 918 computations (8.1% saved)

simplify82.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5200	1933

prune198.0ms (2.6%)

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

rewrite35.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_12376`
16×	`pow1_binary64_12415`
15×	`add-cbrt-cube_binary64_12390` `add-exp-log_binary64_12392`
13×	`associate-r_binary64_12294` `*-un-lft-identity_binary64_12354` `add-cube-cbrt_binary64_12389`
10×	`associate-l_binary64_12295`
6×	`pow-prod-down_binary64_12425` `cbrt-unprod_binary64_12387` `prod-exp_binary64_12403` `distribute-lft-in_binary64_12303` `distribute-rgt-in_binary64_12304` `log-prod_binary64_12440`
4×	`add-log-exp_binary64_12393` `associate-r/_binary64_12296` `unswap-sqr_binary64_12322` `-commutative_binary64_12285`
2×	`cancel-sign-sub-inv_binary64_12320` `sub-neg_binary64_12347`
1×	`flip--_binary64_12329` `log-pow_binary64_12443` `flip3--_binary64_12358` `flip-+_binary64_12328` `flip3-+_binary64_12357`

Counts

4 → 90

Calls

8 calls:

8.0ms	(.f64 (.f64 y y) (+.f64 1/2 (*.f64 y 1/3)))
8.0ms	(.f64 z (-.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 1/2 (.f64 y 1/3)))))
6.0ms	(*.f64 y 1/3)
5.0ms	(*.f64 x (log.f64 y))
0.0ms	(-.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 1/2 (*.f64 y 1/3))))

series424.0ms (5.5%)

Counts

4 → 27

Calls

4 calls:

228.0ms	(.f64 z (-.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 1/2 (.f64 y 1/3)))))
128.0ms	(*.f64 x (log.f64 y))
51.0ms	(.f64 (.f64 y y) (+.f64 1/2 (*.f64 y 1/3)))
17.0ms	(*.f64 y 1/3)

Compiler

Compiled 996 to 840 computations (15.7% saved)

simplify71.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5034	1557

prune155.0ms (2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	114	3	117
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	117	5	122

Error

0.0b

Counts

122 → 5

Compiler

Compiled 3045 to 1554 computations (49% saved)

localize16.0ms (0.2%)

Local error

Found 8 expressions with local error:

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

rewrite36.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`pow1_binary64_12415`
22×	`add-cbrt-cube_binary64_12390` `add-exp-log_binary64_12392`
17×	`add-sqr-sqrt_binary64_12376`
12×	`*-un-lft-identity_binary64_12354` `add-cube-cbrt_binary64_12389`
11×	`pow-prod-down_binary64_12425` `cbrt-unprod_binary64_12387` `associate-r_binary64_12294` `prod-exp_binary64_12403`
10×	`associate-l_binary64_12295`
8×	`distribute-lft-in_binary64_12303` `distribute-rgt-in_binary64_12304`
6×	`associate-*r/_binary64_12296` `log-prod_binary64_12440`
4×	`add-log-exp_binary64_12393` `*-commutative_binary64_12285`
3×	`unswap-sqr_binary64_12322`
2×	`flip-+_binary64_12328` `flip3-+_binary64_12357`
1×	`log-pow_binary64_12443`

Counts

4 → 93

Calls

8 calls:

10.0ms	(.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 x (log.f64 y))
4.0ms	(*.f64 y 1/3)
0.0ms	(+.f64 t (+.f64 (.f64 y z) (.f64 z (.f64 (.f64 y y) (+.f64 1/2 (*.f64 y 1/3))))))

series338.0ms (4.4%)

Counts

4 → 24

Calls

4 calls:

137.0ms	(.f64 z (.f64 (.f64 y y) (+.f64 1/2 (.f64 y 1/3))))
120.0ms	(*.f64 x (log.f64 y))
62.0ms	(.f64 (.f64 y y) (+.f64 1/2 (*.f64 y 1/3)))
20.0ms	(*.f64 y 1/3)

Compiler

Compiled 958 to 772 computations (19.4% saved)

simplify79.0ms (1%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4925	1431
1	4925	1431

prune123.0ms (1.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	117	5	122

Error

0.0b

Counts

122 → 5

Compiler

Compiled 3102 to 1461 computations (52.9% saved)

localize25.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (.f64 x (log.f64 (cbrt.f64 y)))) (.f64 z (-.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 1/2 (*.f64 y 1/3))))))
0.0b	(-.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 1/2 (*.f64 y 1/3))))
0.0b	(log.f64 (cbrt.f64 y))
0.0b	(log.f64 (cbrt.f64 y))
0.3b	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (cbrt.f64 y))))
0.3b	(*.f64 y 1/3)
0.7b	(cbrt.f64 y)
0.7b	(cbrt.f64 y)

rewrite28.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`log-prod_binary64_12440`
30×	`distribute-lft-in_binary64_12303` `distribute-rgt-in_binary64_12304`
24×	`cbrt-prod_binary64_12385` `associate-+l+_binary64_12287`
22×	`add-sqr-sqrt_binary64_12376`
20×	`*-un-lft-identity_binary64_12354` `add-cube-cbrt_binary64_12389`
12×	`associate-+r+_binary64_12286`
6×	`add-log-exp_binary64_12393` `pow1_binary64_12415` `add-cbrt-cube_binary64_12390` `add-exp-log_binary64_12392`
3×	`associate-l_binary64_12295` `associate-r_binary64_12294`
2×	`pow1/3_binary64_12436`
1×	`pow-prod-down_binary64_12425` `cbrt-unprod_binary64_12387` `distribute-lft-out_binary64_12305` `prod-exp_binary64_12403` `sum-log_binary64_12445` `flip-+_binary64_12328` `unswap-sqr_binary64_12322` `+-commutative_binary64_12284` `flip3-+_binary64_12357` `*-commutative_binary64_12285`

Counts

4 → 88

Calls

8 calls:

11.0ms	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (cbrt.f64 y))))
4.0ms	(*.f64 y 1/3)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
0.0ms	(log.f64 (cbrt.f64 y))

series469.0ms (6.1%)

Counts

4 → 15

Calls

4 calls:

297.0ms	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (cbrt.f64 y))))
81.0ms	(cbrt.f64 y)
74.0ms	(cbrt.f64 y)
18.0ms	(*.f64 y 1/3)

Compiler

Compiled 886 to 718 computations (19% saved)

simplify101.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	5023	1031

prune179.0ms (2.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	100	3	103
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	102	6	108

Error

0.0b

Counts

108 → 6

Compiler

Compiled 3359 to 1564 computations (53.4% saved)

simplify36.0ms (0.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	785	1700
1	785	1700

regimes604.0ms (7.9%)

Compiler: Compiled 6894 to 5544 computations (19.6% saved)

bsearch0.0ms (0%)

regimes85.0ms (1.1%)

Compiler: Compiled 460 to 504 computations (-9.6% saved)

bsearch0.0ms (0%)

regimes79.0ms (1%)

Compiler: Compiled 380 to 436 computations (-14.7% saved)

bsearch0.0ms (0%)

regimes62.0ms (0.8%)

Compiler: Compiled 180 to 272 computations (-51.1% saved)

bsearch0.0ms (0%)

regimes52.0ms (0.7%)

Compiler: Compiled 100 to 200 computations (-100% saved)

bsearch0.0ms (0%)

regimes155.0ms (2%)

Compiler: Compiled 44 to 136 computations (-209.1% saved)

bsearch270.0ms (3.5%)

Steps

Iters	Range		Point
8	2.919866254643655e+30	1.2250165298645519e+35	8.579553058144032e+32
9	-8.1312772572807e-38	-6.14769221581055e-47	-1.4599097480194319e-43
9	-9.129546686498513e+28	-2.777270693928042e+22	-3.1191356628414586e+25
7	-6.328445406282845e+100	-1.096729637228083e+99	-3.2303285783648287e+99

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes42.0ms (0.5%)

Compiler: Compiled 28 to 112 computations (-300% saved)

bsearch0.0ms (0%)

regimes35.0ms (0.5%)

Compiler: Compiled 20 to 92 computations (-360% saved)

bsearch0.0ms (0%)

regimes31.0ms (0.4%)

Accuracy

Total 0.3b remaining (90.6%)

Threshold costs 0.3b (90.6%)

Compiler

Compiled 16 to 72 computations (-350% saved)

bsearch7.0ms (0.1%)

Compiler: Compiled 108 to 96 computations (11.1% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	244	150
1	244	150

end0.0ms (0%)

sample2.5s (32.8%)

Algorithm

1×

intervals

Results

412.0ms	5814×	body	128	valid
324.0ms	693×	body	1024	valid
206.0ms	819×	body	512	valid
99.0ms	647×	body	256	valid
18.0ms	27×	body	2048	valid
16.0ms	227×	body	128	nan
2.0ms	30×	body	128	invalid

Compiler

Compiled 1238 to 1009 computations (18.5% saved)

Pareto

0.3003252796824652

Details

analyze310.0ms (4%)

sample48.0ms (0.6%)

simplify124.0ms (1.6%)

prune3.0ms (0%)

localize12.0ms (0.2%)

rewrite36.0ms (0.5%)

series771.0ms (10.1%)

simplify82.0ms (1.1%)

prune198.0ms (2.6%)

localize16.0ms (0.2%)

rewrite35.0ms (0.5%)

series424.0ms (5.5%)

simplify71.0ms (0.9%)

prune155.0ms (2%)

localize16.0ms (0.2%)

rewrite36.0ms (0.5%)

series338.0ms (4.4%)

simplify79.0ms (1%)

prune123.0ms (1.6%)

localize25.0ms (0.3%)

rewrite28.0ms (0.4%)

series469.0ms (6.1%)

simplify101.0ms (1.3%)

prune179.0ms (2.3%)

simplify36.0ms (0.5%)

regimes604.0ms (7.9%)

bsearch0.0ms (0%)

regimes85.0ms (1.1%)

bsearch0.0ms (0%)

regimes79.0ms (1%)

bsearch0.0ms (0%)

regimes62.0ms (0.8%)

bsearch0.0ms (0%)

regimes52.0ms (0.7%)

bsearch0.0ms (0%)

regimes155.0ms (2%)

bsearch270.0ms (3.5%)

regimes42.0ms (0.5%)

bsearch0.0ms (0%)

regimes35.0ms (0.5%)

bsearch0.0ms (0%)

regimes31.0ms (0.4%)

bsearch7.0ms (0.1%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample2.5s (32.8%)

Profiling