Details

analyze481.0ms (2.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4908	36
1	4908	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
12.5%	87.4%	0.1%	5
18.7%	68.7%	12.6%	6
28.1%	59.3%	12.6%	7
32.8%	48.4%	18.8%	8
38.2%	42.9%	18.8%	9
41%	37.1%	22%	10
43.9%	34.1%	22%	11
45.5%	31%	23.5%	12
46.9%	29.6%	23.5%	13
47.7%	28%	24.3%	14

Compiler

Compiled 17 to 9 computations (47.1% saved)

sample56.0ms (0.3%)

Algorithm

1×

intervals

Results

27.0ms	133×	body	8192	exit
7.0ms	205×	body	128	valid
3.0ms	25×	body	512	valid
2.0ms	25×	body	256	valid
0.0ms	1×	body	1024	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 33 to 19 computations (42.4% saved)

simplify139.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (133.0ms)

Iter	Nodes	Cost
0	4887	18
1	4887	18

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

13.6b

Counts

2 → 2

Compiler

Compiled 40 to 26 computations (35% saved)

localize8.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (exp.f64 wj))
0.0b	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
4.4b	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))

rewrite144.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

13.3b

Rules

49×	`*-un-lft-identity_binary64_4170`
48×	`add-sqr-sqrt_binary64_4192`
38×	`times-frac_binary64_4176`
23×	`add-cube-cbrt_binary64_4205`
10×	`difference-of-squares_binary64_4139`
9×	`associate-/l*_binary64_4115`
8×	`distribute-lft-out_binary64_4121`
7×	`add-cbrt-cube_binary64_4206` `associate-/r*_binary64_4114`
6×	`add-exp-log_binary64_4208`
5×	`add-log-exp_binary64_4209` `distribute-lft-out--_binary64_4122`
3×	`pow1_binary64_4231`
2×	`flip3-+_binary64_4173` `flip-+_binary64_4144` `div-sub_binary64_4175` `div-exp_binary64_4221` `cbrt-undiv_binary64_4204` `frac-2neg_binary64_4181` `clear-num_binary64_4169` `div-inv_binary64_4167` `associate-/l/_binary64_4117` `associate-/r/_binary64_4116`
1×	`sum-log_binary64_4261` `associate-+r-_binary64_4104` `+-commutative_binary64_4100` `flip3--_binary64_4174` `flip--_binary64_4145`

Counts

3 → 91

Calls

3 calls:

19.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
17.0ms	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
4.0ms	(/.f64 x (exp.f64 wj))

Compiler

Compiled 2007 to 813 computations (59.5% saved)

series380.0ms (2.2%)

Error

0.0b

Counts

3 → 39

Calls

3 calls:

156.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
119.0ms	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
70.0ms	(/.f64 x (exp.f64 wj))

Compiler

Compiled 1242 to 820 computations (34% saved)

simplify69.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5063	2471

prune305.0ms (1.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	128	2	130
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	129	3	132

Error

0.0b

Counts

132 → 3

Compiler

Compiled 2337 to 976 computations (58.2% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 x (+.f64 (+.f64 wj wj) (.f64 (pow.f64 wj 3) 8/3)))
0.0b	(-.f64 (.f64 (+.f64 (.f64 5/2 x) 1) (.f64 wj wj)) (+.f64 (pow.f64 wj 3) (.f64 x (+.f64 (+.f64 wj wj) (*.f64 (pow.f64 wj 3) 8/3)))))
0.1b	(*.f64 (pow.f64 wj 3) 8/3)
6.3b	(.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj))

rewrite239.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

22×	`add-sqr-sqrt_binary64_4192`
18×	`associate-l_binary64_4111`
16×	`add-exp-log_binary64_4208`
13×	`add-cbrt-cube_binary64_4206`
12×	`add-cube-cbrt_binary64_4205` `*-un-lft-identity_binary64_4170`
11×	`pow1_binary64_4231`
9×	`add-log-exp_binary64_4209`
7×	`prod-exp_binary64_4219` `associate-r_binary64_4110`
6×	`unswap-sqr_binary64_4138` `flip3-+_binary64_4173` `associate-*l/_binary64_4113` `flip-+_binary64_4144`
5×	`cbrt-unprod_binary64_4203`
4×	`pow-prod-down_binary64_4241` `unpow-prod-down_binary64_4249` `cube-prod_binary64_4198` `frac-sub_binary64_4179`
3×	`*-commutative_binary64_4101` `cancel-sign-sub-inv_binary64_4136`
2×	`sqr-pow_binary64_4142` `diff-log_binary64_4262` `associate-*r/_binary64_4112`
1×	`pow-to-exp_binary64_4239` `pow-exp_binary64_4238` `unpow3_binary64_4236` `cube-mult_binary64_4200` `sum-log_binary64_4261` `flip3--_binary64_4174` `sub-neg_binary64_4163` `flip--_binary64_4145` `associate--r+_binary64_4106` `distribute-rgt-in_binary64_4120` `distribute-lft-in_binary64_4119`

Counts

4 → 94

Calls

4 calls:

21.0ms	(-.f64 (.f64 (+.f64 (.f64 5/2 x) 1) (.f64 wj wj)) (+.f64 (pow.f64 wj 3) (.f64 x (+.f64 (+.f64 wj wj) (*.f64 (pow.f64 wj 3) 8/3)))))
13.0ms	(.f64 x (+.f64 (+.f64 wj wj) (.f64 (pow.f64 wj 3) 8/3)))
10.0ms	(.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj))
6.0ms	(*.f64 (pow.f64 wj 3) 8/3)

Compiler

Compiled 3896 to 2454 computations (37% saved)

series722.0ms (4.2%)

Error

0.0b

Counts

4 → 36

Calls

4 calls:

358.0ms	(-.f64 (.f64 (+.f64 (.f64 5/2 x) 1) (.f64 wj wj)) (+.f64 (pow.f64 wj 3) (.f64 x (+.f64 (+.f64 wj wj) (*.f64 (pow.f64 wj 3) 8/3)))))
179.0ms	(.f64 x (+.f64 (+.f64 wj wj) (.f64 (pow.f64 wj 3) 8/3)))
103.0ms	(.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj))
39.0ms	(*.f64 (pow.f64 wj 3) 8/3)

Compiler

Compiled 2387 to 1749 computations (26.7% saved)

simplify87.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4966	2961
1	4966	2961

prune200.0ms (1.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	129	4	133

Error

0.0b

Counts

133 → 4

Compiler

Compiled 4334 to 2736 computations (36.9% saved)

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1)))
0.0b	(*.f64 (exp.f64 wj) (+.f64 wj 1))

rewrite54.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`add-cbrt-cube_binary64_4206`
8×	`add-sqr-sqrt_binary64_4192` `*-un-lft-identity_binary64_4170`
7×	`add-exp-log_binary64_4208`
6×	`add-cube-cbrt_binary64_4205`
4×	`pow1_binary64_4231` `associate-r/_binary64_4112` `associate-r*_binary64_4110`
3×	`associate-l_binary64_4111` `times-frac_binary64_4176` `associate-/l*_binary64_4115`
2×	`prod-exp_binary64_4219` `add-log-exp_binary64_4209` `cbrt-unprod_binary64_4203` `flip3-+_binary64_4173` `flip-+_binary64_4144` `div-exp_binary64_4221` `cbrt-undiv_binary64_4204` `associate-/r/_binary64_4116`
1×	`pow-prod-down_binary64_4241` `unswap-sqr_binary64_4138` `distribute-rgt-in_binary64_4120` `distribute-lft-in_binary64_4119` `distribute-lft-out_binary64_4121` `-commutative_binary64_4101` `frac-2neg_binary64_4181` `clear-num_binary64_4169` `div-inv_binary64_4167` `associate-/r_binary64_4114`

Counts

2 → 46

Calls

2 calls:

7.0ms	(*.f64 (exp.f64 wj) (+.f64 wj 1))
7.0ms	(/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1)))

Compiler

Compiled 671 to 381 computations (43.2% saved)

series172.0ms (1%)

Error

0.0b

Counts

2 → 21

Calls

2 calls:

123.0ms	(/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1)))
36.0ms	(*.f64 (exp.f64 wj) (+.f64 wj 1))

Compiler

Compiled 578 to 351 computations (39.3% saved)

simplify78.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4944	859
1	4944	859

prune49.0ms (0.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	67	4	71

Error

0.0b

Counts

71 → 4

Compiler

Compiled 804 to 446 computations (44.5% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 8/3 (pow.f64 wj 3))
2.3b	(exp.f64 (log.f64 (+.f64 (.f64 (.f64 wj wj) (-.f64 (+.f64 (.f64 5/2 x) 1) wj)) (.f64 x (-.f64 (.f64 wj -2) (.f64 8/3 (pow.f64 wj 3)))))))
6.3b	(.f64 (.f64 wj wj) (-.f64 (+.f64 (*.f64 5/2 x) 1) wj))
13.7b	(log.f64 (+.f64 (.f64 (.f64 wj wj) (-.f64 (+.f64 (.f64 5/2 x) 1) wj)) (.f64 x (-.f64 (.f64 wj -2) (.f64 8/3 (pow.f64 wj 3))))))

rewrite297.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

24×	`add-sqr-sqrt_binary64_4192`
18×	`associate-*r/_binary64_4112`
17×	`associate-r_binary64_4110`
16×	`*-un-lft-identity_binary64_4170`
15×	`add-exp-log_binary64_4208`
14×	`add-cube-cbrt_binary64_4205`
12×	`log-div_binary64_4257`
11×	`pow1_binary64_4231` `add-cbrt-cube_binary64_4206`
9×	`flip3--_binary64_4174` `flip--_binary64_4145`
8×	`frac-add_binary64_4178`
6×	`log-prod_binary64_4256` `prod-exp_binary64_4219` `cancel-sign-sub-inv_binary64_4136` `exp-diff_binary64_4218`
5×	`unswap-sqr_binary64_4138` `distribute-rgt-in_binary64_4120` `distribute-lft-in_binary64_4119`
4×	`add-log-exp_binary64_4209` `cbrt-unprod_binary64_4203` `associate-l_binary64_4111` `exp-prod_binary64_4222` `unpow-prod-down_binary64_4249` `cube-prod_binary64_4198`
3×	`pow-prod-down_binary64_4241` `exp-sum_binary64_4216`
2×	`log-pow_binary64_4259` `flip3-+_binary64_4173` `flip-+_binary64_4144` `sub-neg_binary64_4163` `associate--l+_binary64_4107` `*-commutative_binary64_4101` `sqr-pow_binary64_4142`
1×	`rem-log-exp_binary64_4211` `difference-of-squares_binary64_4139` `distribute-lft-out--_binary64_4122` `rem-exp-log_binary64_4210` `pow-to-exp_binary64_4239` `pow-exp_binary64_4238` `unpow3_binary64_4236` `cube-mult_binary64_4200`

Counts

4 → 103

Calls

4 calls:

14.0ms	(exp.f64 (log.f64 (+.f64 (.f64 (.f64 wj wj) (-.f64 (+.f64 (.f64 5/2 x) 1) wj)) (.f64 x (-.f64 (.f64 wj -2) (.f64 8/3 (pow.f64 wj 3)))))))
13.0ms	(log.f64 (+.f64 (.f64 (.f64 wj wj) (-.f64 (+.f64 (.f64 5/2 x) 1) wj)) (.f64 x (-.f64 (.f64 wj -2) (.f64 8/3 (pow.f64 wj 3))))))
13.0ms	(.f64 (.f64 wj wj) (-.f64 (+.f64 (*.f64 5/2 x) 1) wj))
7.0ms	(*.f64 8/3 (pow.f64 wj 3))

Compiler

Compiled 4759 to 3285 computations (31% saved)

series10.5s (60.4%)

Error

0.0b

Counts

4 → 33

Calls

4 calls:

10.2s	(exp.f64 (log.f64 (+.f64 (.f64 (.f64 wj wj) (-.f64 (+.f64 (.f64 5/2 x) 1) wj)) (.f64 x (-.f64 (.f64 wj -2) (.f64 8/3 (pow.f64 wj 3)))))))
139.0ms	(.f64 (.f64 wj wj) (-.f64 (+.f64 (*.f64 5/2 x) 1) wj))
116.0ms	(log.f64 (+.f64 (.f64 (.f64 wj wj) (-.f64 (+.f64 (.f64 5/2 x) 1) wj)) (.f64 x (-.f64 (.f64 wj -2) (.f64 8/3 (pow.f64 wj 3))))))
38.0ms	(*.f64 8/3 (pow.f64 wj 3))

Compiler

Compiled 3240 to 2590 computations (20.1% saved)

simplify117.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4962	4401
1	4962	4401

prune247.0ms (1.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	136	4	140

Error

0.0b

Counts

140 → 4

Compiler

Compiled 5074 to 3555 computations (29.9% saved)

regimes317.0ms (1.8%)

Accuracy

Total 1.7b remaining (95.7%)

Threshold costs 0b (0%)

Compiler

Compiled 3816 to 2550 computations (33.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	103	40
1	103	40

end0.0ms (0%)

sample2.7s (15.3%)

Algorithm

1×

intervals

Results

772.0ms	3765×	body	8192	exit
230.0ms	6459×	body	128	valid
87.0ms	730×	body	512	valid
56.0ms	792×	body	256	valid
3.0ms	19×	body	1024	valid
3.0ms	71×	body	128	invalid
0.0ms	9×	body	128	overflowed

Compiler

Compiled 1321 to 884 computations (33.1% saved)

Details

analyze481.0ms (2.8%)

sample56.0ms (0.3%)

simplify139.0ms (0.8%)

prune4.0ms (0%)

localize8.0ms (0%)

rewrite144.0ms (0.8%)

series380.0ms (2.2%)

simplify69.0ms (0.4%)

prune305.0ms (1.8%)

localize15.0ms (0.1%)

rewrite239.0ms (1.4%)

series722.0ms (4.2%)

simplify87.0ms (0.5%)

prune200.0ms (1.1%)

localize5.0ms (0%)

rewrite54.0ms (0.3%)

series172.0ms (1%)

simplify78.0ms (0.4%)

prune49.0ms (0.3%)

localize22.0ms (0.1%)

rewrite297.0ms (1.7%)

series10.5s (60.4%)

simplify117.0ms (0.7%)

prune247.0ms (1.4%)

regimes317.0ms (1.8%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.7s (15.3%)

Profiling