Details

analyze927.0ms (7.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4856	36
1	4856	36
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
6.2%	93.7%	0.1%	5
6.2%	90.5%	3.2%	6
21.9%	67.1%	11%	7
23.4%	64.8%	11.8%	8
32%	52.7%	15.3%	9
33.2%	51.3%	15.5%	10
37.7%	45.2%	17.2%	11
38.3%	44.4%	17.2%	12
40.6%	41.3%	18%	13
41%	41%	18%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample43.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms	195×	body	128	valid
7.0ms	35×	body	1024	valid
6.0ms	43×	body	1024	nan
3.0ms	25×	body	512	nan
2.0ms	12×	body	512	valid
1.0ms	13×	body	256	valid
1.0ms	10×	body	256	nan
0.0ms	11×	body	128	nan
0.0ms	1×	body	2048	valid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify349.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (344.0ms)

Iter	Nodes	Cost
0	5144	18

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

16.6b

Counts

2 → 1

Compiler

Compiled 24 to 22 computations (8.3% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))
2.4b	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
6.2b	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))

rewrite318.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

14.0b

Rules

118×	`add-sqr-sqrt_binary64_9648`
107×	`*-un-lft-identity_binary64_9626`
66×	`times-frac_binary64_9632`
49×	`difference-of-squares_binary64_9595`
40×	`cancel-sign-sub-inv_binary64_9592`
32×	`add-cube-cbrt_binary64_9661`
29×	`distribute-lft-out--_binary64_9578`
16×	`log-prod_binary64_9712`
8×	`associate--r+_binary64_9562`
7×	`pow1_binary64_9687` `flip3--_binary64_9630` `flip--_binary64_9601` `add-exp-log_binary64_9664` `add-log-exp_binary64_9665`
6×	`add-cbrt-cube_binary64_9662` `associate-/r*_binary64_9570`
5×	`associate-/l*_binary64_9571`
4×	`log-div_binary64_9713` `associate-/r/_binary64_9572`
3×	`log-pow_binary64_9715` `associate--r-_binary64_9565`
2×	`diff-log_binary64_9718` `sub-neg_binary64_9619` `div-inv_binary64_9623` `div-sub_binary64_9631` `associate-/l/_binary64_9573`
1×	`rem-log-exp_binary64_9667` `div-exp_binary64_9677` `cbrt-undiv_binary64_9660` `frac-2neg_binary64_9637` `clear-num_binary64_9625`

Counts

4 → 159

Calls

4 calls:

21.0ms	(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
19.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
16.0ms	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
9.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))

Compiler

Compiled 3700 to 2380 computations (35.7% saved)

series779.0ms (6.4%)

Error

0.0b

Counts

4 → 70

Calls

4 calls:

236.0ms	(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
196.0ms	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
149.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
98.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))

Compiler

Compiled 4024 to 3244 computations (19.4% saved)

simplify93.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

229 → 229

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4979	5612
1	4979	5612

prune268.0ms (2.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	224	5	229
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	225	5	230

Error

0.0b

Counts

230 → 5

Compiler

Compiled 4974 to 3249 computations (34.7% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))
0.0b	(log.f64 (/.f64 E.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
0.2b	(/.f64 E.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
2.4b	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))

rewrite328.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

177×	`add-sqr-sqrt_binary64_9648`
145×	`*-un-lft-identity_binary64_9626`
124×	`times-frac_binary64_9632`
67×	`difference-of-squares_binary64_9595`
54×	`add-cube-cbrt_binary64_9661`
36×	`cancel-sign-sub-inv_binary64_9592`
32×	`distribute-lft-out--_binary64_9578`
30×	`log-prod_binary64_9712`
14×	`associate-/r*_binary64_9570`
13×	`add-exp-log_binary64_9664`
8×	`add-cbrt-cube_binary64_9662` `associate-/r/_binary64_9572` `associate-/l*_binary64_9571`
6×	`add-log-exp_binary64_9665` `flip3--_binary64_9630` `flip--_binary64_9601`
5×	`pow1_binary64_9687` `div-exp_binary64_9677`
4×	`div-inv_binary64_9623`
3×	`rem-log-exp_binary64_9667`
2×	`div-sub_binary64_9631` `e-exp-1_binary64_9671` `cbrt-undiv_binary64_9660` `frac-2neg_binary64_9637` `clear-num_binary64_9625` `associate-/l/_binary64_9573`
1×	`diff-log_binary64_9718` `sub-neg_binary64_9619` `associate--r-_binary64_9565` `log-pow_binary64_9715` `log-div_binary64_9713`

Counts

4 → 203

Calls

4 calls:

22.0ms	(log.f64 (/.f64 E.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
18.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
18.0ms	(/.f64 E.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
9.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))

Compiler

Compiled 4869 to 2865 computations (41.2% saved)

series1.5s (12.6%)

Error

0.0b

Counts

4 → 68

Calls

4 calls:

855.0ms	(log.f64 (/.f64 E.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
292.0ms	(/.f64 E.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
145.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
105.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))

Compiler

Compiled 6059 to 4702 computations (22.4% saved)

simplify96.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

271 → 271

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5048	8579

prune369.0ms (3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	270	1	271
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	272	4	276

Error

0.0b

Counts

276 → 4

Compiler

Compiled 6835 to 4084 computations (40.2% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 E.f64 (-.f64 1 x)) (*.f64 (/.f64 E.f64 (-.f64 1 x)) y))
0.2b	(/.f64 E.f64 (-.f64 1 x))
0.2b	(/.f64 E.f64 (-.f64 1 x))
0.3b	(*.f64 (/.f64 E.f64 (-.f64 1 x)) y)

rewrite202.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

75×	`add-sqr-sqrt_binary64_9648`
70×	`*-un-lft-identity_binary64_9626`
55×	`times-frac_binary64_9632`
37×	`add-cube-cbrt_binary64_9661`
24×	`associate-l_binary64_9567`
22×	`difference-of-squares_binary64_9595`
17×	`add-exp-log_binary64_9664`
13×	`add-cbrt-cube_binary64_9662`
12×	`associate-/r*_binary64_9570`
11×	`distribute-lft-out--_binary64_9578`
6×	`pow1_binary64_9687` `div-exp_binary64_9677` `add-log-exp_binary64_9665` `associate-/r/_binary64_9572` `associate-/l*_binary64_9571`
4×	`flip3--_binary64_9630` `flip--_binary64_9601`
3×	`e-exp-1_binary64_9671` `prod-exp_binary64_9675` `cbrt-undiv_binary64_9660` `associate-l/_binary64_9569` `div-inv_binary64_9623` `associate-r*_binary64_9566`
2×	`cbrt-unprod_binary64_9659` `unswap-sqr_binary64_9594` `frac-2neg_binary64_9637` `clear-num_binary64_9625`
1×	`pow-prod-down_binary64_9697` `*-commutative_binary64_9557` `diff-log_binary64_9718` `frac-sub_binary64_9635` `sub-div_binary64_9633` `sub-neg_binary64_9619` `cancel-sign-sub-inv_binary64_9592`

Counts

4 → 142

Calls

4 calls:

11.0ms	(-.f64 (/.f64 E.f64 (-.f64 1 x)) (*.f64 (/.f64 E.f64 (-.f64 1 x)) y))
11.0ms	(*.f64 (/.f64 E.f64 (-.f64 1 x)) y)
6.0ms	(/.f64 E.f64 (-.f64 1 x))
6.0ms	(/.f64 E.f64 (-.f64 1 x))

Compiler

Compiled 3174 to 2032 computations (36% saved)

series284.0ms (2.3%)

Error

0.0b

Counts

4 → 37

Calls

4 calls:

137.0ms	(-.f64 (/.f64 E.f64 (-.f64 1 x)) (*.f64 (/.f64 E.f64 (-.f64 1 x)) y))
76.0ms	(*.f64 (/.f64 E.f64 (-.f64 1 x)) y)
22.0ms	(/.f64 E.f64 (-.f64 1 x))
20.0ms	(/.f64 E.f64 (-.f64 1 x))

Compiler

Compiled 1550 to 1033 computations (33.4% saved)

simplify77.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5167	2665

prune174.0ms (1.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	178	1	179
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	179	4	183

Error

Counts

183 → 4

Compiler

Compiled 3512 to 2178 computations (38% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (/.f64 (.f64 E.f64 y) (-.f64 1 x))) (cbrt.f64 (/.f64 (*.f64 E.f64 y) (-.f64 1 x))))
7.5b	(cbrt.f64 (/.f64 (*.f64 E.f64 y) (-.f64 1 x)))
7.5b	(cbrt.f64 (/.f64 (*.f64 E.f64 y) (-.f64 1 x)))
7.5b	(cbrt.f64 (/.f64 (*.f64 E.f64 y) (-.f64 1 x)))

rewrite312.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

92×	`cbrt-prod_binary64_9657`
51×	`add-sqr-sqrt_binary64_9648`
49×	`*-un-lft-identity_binary64_9626`
46×	`times-frac_binary64_9632`
22×	`add-cube-cbrt_binary64_9661`
17×	`swap-sqr_binary64_9593`
15×	`associate-l_binary64_9567` `associate-r_binary64_9566`
14×	`difference-of-squares_binary64_9595` `associate-/r/_binary64_9572`
11×	`pow1_binary64_9687`
9×	`pow1/3_binary64_9708` `distribute-lft-out--_binary64_9578`
7×	`cbrt-div_binary64_9658` `div-inv_binary64_9623` `flip3--_binary64_9630` `flip--_binary64_9601`
6×	`add-exp-log_binary64_9664`
4×	`add-log-exp_binary64_9665` `add-cbrt-cube_binary64_9662` `unswap-sqr_binary64_9594`
2×	`pow-prod-down_binary64_9697` `pow-prod-up_binary64_9696` `pow-sqr_binary64_9599`
1×	`pow2_binary64_9707` `pow-plus_binary64_9689` `prod-exp_binary64_9675` `cbrt-unprod_binary64_9659` `frac-times_binary64_9636` `associate-l/_binary64_9569` `associate-r/_binary64_9568` `*-commutative_binary64_9557`

Counts

4 → 135

Calls

4 calls:

18.0ms	(.f64 (cbrt.f64 (/.f64 (.f64 E.f64 y) (-.f64 1 x))) (cbrt.f64 (/.f64 (*.f64 E.f64 y) (-.f64 1 x))))
6.0ms	(cbrt.f64 (/.f64 (*.f64 E.f64 y) (-.f64 1 x)))
6.0ms	(cbrt.f64 (/.f64 (*.f64 E.f64 y) (-.f64 1 x)))
6.0ms	(cbrt.f64 (/.f64 (*.f64 E.f64 y) (-.f64 1 x)))

Compiler

Compiled 5680 to 3476 computations (38.8% saved)

series940.0ms (7.8%)

Error

Counts

4 → 28

Calls

4 calls:

302.0ms	(.f64 (cbrt.f64 (/.f64 (.f64 E.f64 y) (-.f64 1 x))) (cbrt.f64 (/.f64 (*.f64 E.f64 y) (-.f64 1 x))))
210.0ms	(cbrt.f64 (/.f64 (*.f64 E.f64 y) (-.f64 1 x)))
195.0ms	(cbrt.f64 (/.f64 (*.f64 E.f64 y) (-.f64 1 x)))
187.0ms	(cbrt.f64 (/.f64 (*.f64 E.f64 y) (-.f64 1 x)))

Compiler

Compiled 3346 to 2447 computations (26.9% saved)

simplify96.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4916	3640
1	4916	3640

prune513.0ms (4.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	163	0	163
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	163	4	167

Error

Counts

167 → 4

Compiler

Compiled 6146 to 3822 computations (37.8% saved)

regimes1.1s (9.1%)

Accuracy

Total 0.0b remaining (97.6%)

Threshold costs 0.0b (97.6%)

Compiler

Compiled 14281 to 11603 computations (18.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	23
1	53	23

end0.0ms (0%)

sample3.3s (27%)

Algorithm

1×

intervals

Results

313.0ms	5818×	body	128	valid
218.0ms	1080×	body	1024	valid
150.0ms	1001×	body	1024	nan
96.0ms	668×	body	512	valid
75.0ms	648×	body	512	nan
37.0ms	371×	body	256	valid
27.0ms	378×	body	256	nan
19.0ms	63×	body	2048	valid
16.0ms	451×	body	128	nan
0.0ms	1×	body	2048	nan

Compiler

Compiled 2298 to 1860 computations (19.1% saved)

Details

analyze927.0ms (7.7%)

sample43.0ms (0.4%)

simplify349.0ms (2.9%)

prune3.0ms (0%)

localize11.0ms (0.1%)

rewrite318.0ms (2.6%)

series779.0ms (6.4%)

simplify93.0ms (0.8%)

prune268.0ms (2.2%)

localize9.0ms (0.1%)

rewrite328.0ms (2.7%)

series1.5s (12.6%)

simplify96.0ms (0.8%)

prune369.0ms (3%)

localize9.0ms (0.1%)

rewrite202.0ms (1.7%)

series284.0ms (2.3%)

simplify77.0ms (0.6%)

prune174.0ms (1.4%)

localize14.0ms (0.1%)

rewrite312.0ms (2.6%)

series940.0ms (7.8%)

simplify96.0ms (0.8%)

prune513.0ms (4.2%)

regimes1.1s (9.1%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.3s (27%)

Profiling