Details

analyze1.1s (3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5212	209
0	5	5
1	5	5

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
1.8%	98%	0.2%	10
7.7%	92.1%	0.2%	11
10.4%	89.3%	0.2%	12
12.2%	87.5%	0.2%	13
21.9%	77.7%	0.4%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample510.0ms (1.4%)

Algorithm

1×

intervals

Results

8.0ms	220×	body	128	valid
2.0ms	37×	body	128	invalid
2.0ms	16×	body	512	valid
1.0ms	10×	body	1024	valid
1.0ms	10×	body	256	valid

Compiler

Compiled 4129 to 5009 computations (-21.3% saved)

simplify72.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4973	19
1	4973	19

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

13.3b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 t x) (-.f64 a z))
3.2b	(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))
5.3b	(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))

rewrite184.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

9.4b

Rules

78×	`add-sqr-sqrt_binary64_2146`
73×	`*-un-lft-identity_binary64_2124`
51×	`times-frac_binary64_2130`
31×	`associate-r_binary64_2064`
27×	`add-cube-cbrt_binary64_2159`
23×	`difference-of-squares_binary64_2093` `distribute-lft-out--_binary64_2076`
10×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
5×	`pow1_binary64_2185` `add-log-exp_binary64_2163` `flip3--_binary64_2128` `flip--_binary64_2099` `associate-l_binary64_2065` `associate-/l_binary64_2069` `associate-/r_binary64_2068`
4×	`associate-/r/_binary64_2070`
2×	`div-exp_binary64_2175` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `cbrt-undiv_binary64_2158` `frac-times_binary64_2134` `unswap-sqr_binary64_2092` `associate-*l/_binary64_2067` `div-inv_binary64_2121` `associate-/l/_binary64_2071`
1×	`pow-prod-down_binary64_2195` `associate-r/_binary64_2066` `-commutative_binary64_2055` `sum-log_binary64_2215` `flip3-+_binary64_2127` `flip-+_binary64_2098` `+-commutative_binary64_2054` `frac-2neg_binary64_2135` `div-sub_binary64_2129` `clear-num_binary64_2123`

Counts

3 → 119

Calls

3 calls:

22.0ms	(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))
8.0ms	(/.f64 (-.f64 t x) (-.f64 a z))
4.0ms	(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))

Compiler

Compiled 2779 to 576 computations (79.3% saved)

series2.8s (7.8%)

Error

1.0b

Counts

3 → 113

Calls

3 calls:

1.4s	(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))
859.0ms	(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))
389.0ms	(/.f64 (-.f64 t x) (-.f64 a z))

Compiler

Compiled 9917 to 5282 computations (46.7% saved)

simplify112.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

232 → 232

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4988	7988
1	4988	7988

prune268.0ms (0.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	224	8	232
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	225	8	233

Error

0.9b

Counts

233 → 8

Compiler

Compiled 6788 to 1243 computations (81.7% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 t x))
0.6b	(cbrt.f64 (-.f64 t x))
0.6b	(cbrt.f64 (-.f64 t x))
7.6b	(+.f64 x (.f64 (.f64 (-.f64 y z) (/.f64 (.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z))))) (/.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 a z)))))

rewrite105.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.9b

Rules

15×	`cbrt-prod_binary64_2155`
13×	`add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
7×	`add-cube-cbrt_binary64_2159`
6×	`add-log-exp_binary64_2163` `cbrt-div_binary64_2156`
4×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
3×	`pow1/3_binary64_2206` `flip3--_binary64_2128` `flip--_binary64_2099` `difference-of-squares_binary64_2093` `distribute-lft-out--_binary64_2076`
1×	`sum-log_binary64_2215` `flip3-+_binary64_2127` `flip-+_binary64_2098` `+-commutative_binary64_2054`

Counts

4 → 56

Calls

4 calls:

5.0ms	(+.f64 x (.f64 (.f64 (-.f64 y z) (/.f64 (.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z))))) (/.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 a z)))))
3.0ms	(cbrt.f64 (-.f64 t x))
3.0ms	(cbrt.f64 (-.f64 t x))
3.0ms	(cbrt.f64 (-.f64 t x))

Compiler

Compiled 2641 to 337 computations (87.2% saved)

series2.1s (6%)

Error

0.9b

Counts

4 → 65

Calls

4 calls:

1.7s	(+.f64 x (.f64 (.f64 (-.f64 y z) (/.f64 (.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z))))) (/.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 a z)))))
118.0ms	(cbrt.f64 (-.f64 t x))
118.0ms	(cbrt.f64 (-.f64 t x))
103.0ms	(cbrt.f64 (-.f64 t x))

Compiler

Compiled 6928 to 3776 computations (45.5% saved)

simplify68.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5456	3516

prune163.0ms (0.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	120	9	129

Error

0.9b

Counts

129 → 9

Compiler

Compiled 4838 to 877 computations (81.9% saved)

localize11.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 a z) (-.f64 t x))
0.4b	(/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x)))
4.2b	(+.f64 x (*.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x)))))
5.3b	(*.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x))))

rewrite545.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.9b

Rules

392×	`times-frac_binary64_2130`
338×	`add-sqr-sqrt_binary64_2146`
326×	`*-un-lft-identity_binary64_2124`
158×	`add-cube-cbrt_binary64_2159`
98×	`associate-r_binary64_2064`
83×	`difference-of-squares_binary64_2093` `distribute-lft-out--_binary64_2076`
36×	`add-exp-log_binary64_2162` `associate-/r*_binary64_2068`
20×	`add-cbrt-cube_binary64_2160`
18×	`associate-/r/_binary64_2070`
15×	`div-exp_binary64_2175`
11×	`flip3--_binary64_2128` `flip--_binary64_2099`
10×	`div-inv_binary64_2121`
8×	`associate-/l*_binary64_2069`
7×	`pow1_binary64_2185` `prod-exp_binary64_2173` `cbrt-undiv_binary64_2158`
6×	`add-log-exp_binary64_2163`
5×	`unswap-sqr_binary64_2092` `associate-l_binary64_2065`
4×	`1-exp_binary64_2168` `rec-exp_binary64_2174`
3×	`cbrt-unprod_binary64_2157`
2×	`frac-times_binary64_2134` `associate-*l/_binary64_2067` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `associate-/l/_binary64_2071`
1×	`pow-prod-down_binary64_2195` `un-div-inv_binary64_2122` `associate-r/_binary64_2066` `-commutative_binary64_2055` `sum-log_binary64_2215` `flip3-+_binary64_2127` `flip-+_binary64_2098` `+-commutative_binary64_2054` `inv-pow_binary64_2209` `pow-flip_binary64_2198` `div-sub_binary64_2129`

Counts

4 → 344

Calls

4 calls:

39.0ms	(*.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x))))
13.0ms	(/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x)))
12.0ms	(/.f64 (-.f64 a z) (-.f64 t x))
4.0ms	(+.f64 x (*.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x)))))

Compiler

Compiled 9606 to 3185 computations (66.8% saved)

series3.1s (8.7%)

Error

0.9b

Counts

4 → 146

Calls

4 calls:

1.3s	(+.f64 x (*.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x)))))
829.0ms	(*.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x))))
387.0ms	(/.f64 (-.f64 a z) (-.f64 t x))
385.0ms	(/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x)))

Compiler

Compiled 12218 to 6728 computations (44.9% saved)

simplify153.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

490 → 490

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4987	14467
1	4987	14467

prune803.0ms (2.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	488	2	490
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	489	10	499

Error

0.9b

Counts

499 → 10

Compiler

Compiled 13765 to 3250 computations (76.4% saved)

localize13.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 a z) (-.f64 t x))
2.7b	(+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x))))
5.3b	(/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x)))

rewrite372.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.9b

Rules

330×	`times-frac_binary64_2130`
323×	`*-un-lft-identity_binary64_2124`
321×	`add-sqr-sqrt_binary64_2146`
113×	`add-cube-cbrt_binary64_2159`
104×	`difference-of-squares_binary64_2093` `distribute-lft-out--_binary64_2076`
36×	`associate-/r*_binary64_2068`
15×	`associate-/r/_binary64_2070`
10×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `associate-/l*_binary64_2069`
9×	`flip3--_binary64_2128` `flip--_binary64_2099`
8×	`div-inv_binary64_2121`
5×	`add-log-exp_binary64_2163`
4×	`div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `associate-/l/_binary64_2071`
3×	`pow1_binary64_2185` `div-sub_binary64_2129`
2×	`frac-2neg_binary64_2135` `clear-num_binary64_2123`
1×	`sum-log_binary64_2215` `flip3-+_binary64_2127` `flip-+_binary64_2098` `distribute-lft-out_binary64_2075` `associate-+r-_binary64_2058` `+-commutative_binary64_2054`

Counts

3 → 274

Calls

3 calls:

44.0ms	(+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x))))
18.0ms	(/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x)))
13.0ms	(/.f64 (-.f64 a z) (-.f64 t x))

Compiler

Compiled 7392 to 1404 computations (81% saved)

series2.7s (7.6%)

Error

0.9b

Counts

3 → 113

Calls

3 calls:

1.3s	(+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x))))
842.0ms	(/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x)))
377.0ms	(/.f64 (-.f64 a z) (-.f64 t x))

Compiler

Compiled 9917 to 5285 computations (46.7% saved)

simplify147.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

387 → 387

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4999	14178
1	4999	14178

prune405.0ms (1.1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	386	1	387
Fresh	1	6	7
Picked	0	1	1
Done	0	2	2
Total	387	10	397

Error

0.9b

Counts

397 → 10

Compiler

Compiled 11064 to 1595 computations (85.6% saved)

regimes1.7s (4.8%)

Accuracy

Total 5.2b remaining (86.8%)

Threshold costs 0b (0%)

Compiler

Compiled 13221 to 9077 computations (31.3% saved)

bsearch6.0ms (0%)

Compiler: Compiled 13 to 11 computations (15.4% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	138	142
1	138	142

end0.0ms (0%)

sample18.2s (50.9%)

Algorithm

1×

intervals

Results

253.0ms	6664×	body	128	valid
87.0ms	1247×	body	128	invalid
55.0ms	391×	body	1024	valid
53.0ms	503×	body	512	valid
28.0ms	385×	body	256	valid
11.0ms	57×	body	2048	valid

Compiler

Compiled 131751 to 158746 computations (-20.5% saved)

Details

analyze1.1s (3%)

sample510.0ms (1.4%)

simplify72.0ms (0.2%)

prune3.0ms (0%)

localize9.0ms (0%)

rewrite184.0ms (0.5%)

series2.8s (7.8%)

simplify112.0ms (0.3%)

prune268.0ms (0.8%)

localize22.0ms (0.1%)

rewrite105.0ms (0.3%)

series2.1s (6%)

simplify68.0ms (0.2%)

prune163.0ms (0.5%)

localize11.0ms (0%)

rewrite545.0ms (1.5%)

series3.1s (8.7%)

simplify153.0ms (0.4%)

prune803.0ms (2.2%)

localize13.0ms (0%)

rewrite372.0ms (1%)

series2.7s (7.6%)

simplify147.0ms (0.4%)

prune405.0ms (1.1%)

regimes1.7s (4.8%)

bsearch6.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample18.2s (50.9%)

Profiling