Details

analyze104.0ms (4.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	8	10
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
100%	0%	0%	2

Compiler

Compiled 8 to 6 computations (25% saved)

sample12.0ms (0.5%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 15 to 12 computations (20% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	10
1	8	10

prune2.0ms (0.1%)

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

14.8b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

14.8b

(/.f64 x (+.f64 (*.f64 x x) 1))

rewrite41.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

14.7b

Rules

9×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `times-frac_binary64_1107` `*-un-lft-identity_binary64_1101`
3×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `associate-/l_binary64_1046` `associate-/r_binary64_1045`
2×	`associate-/r/_binary64_1047`
1×	`pow1_binary64_1162` `div-exp_binary64_1152` `add-log-exp_binary64_1140` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `flip3-+_binary64_1104` `flip-+_binary64_1075`

Counts

1 → 29

Calls

1 calls:

6.0ms

(/.f64 x (+.f64 (*.f64 x x) 1))

Compiler

Compiled 469 to 241 computations (48.6% saved)

series69.0ms (3.2%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

58.0ms

(/.f64 x (+.f64 (*.f64 x x) 1))

Compiler

Compiled 248 to 201 computations (19% saved)

simplify71.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5088	673

prune33.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	4	42

Error

Counts

42 → 4

Compiler

Compiled 567 to 330 computations (41.8% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.3b	(/.f64 1 (+.f64 1 (*.f64 x x)))
14.4b	(.f64 x (/.f64 1 (+.f64 1 (.f64 x x))))

rewrite87.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`add-sqr-sqrt_binary64_1123`
20×	`times-frac_binary64_1107`
19×	`*-un-lft-identity_binary64_1101`
18×	`add-cube-cbrt_binary64_1136`
15×	`add-exp-log_binary64_1139` `associate-r_binary64_1041`
9×	`add-cbrt-cube_binary64_1137`
5×	`pow1_binary64_1162`
4×	`div-exp_binary64_1152` `prod-exp_binary64_1150` `associate-/r/_binary64_1047`
3×	`unswap-sqr_binary64_1069` `associate-l_binary64_1042` `associate-/l_binary64_1046` `associate-/r_binary64_1045`
2×	`1-exp_binary64_1145` `rec-exp_binary64_1151` `add-log-exp_binary64_1140` `cbrt-unprod_binary64_1134` `cbrt-undiv_binary64_1135` `div-inv_binary64_1098` `flip3-+_binary64_1104` `flip-+_binary64_1075`
1×	`pow-prod-down_binary64_1172` `un-div-inv_binary64_1099` `associate-r/_binary64_1043` `-commutative_binary64_1032` `inv-pow_binary64_1186` `pow-flip_binary64_1175` `frac-2neg_binary64_1112` `clear-num_binary64_1100`

Counts

2 → 71

Calls

2 calls:

10.0ms	(.f64 x (/.f64 1 (+.f64 1 (.f64 x x))))
7.0ms	(/.f64 1 (+.f64 1 (*.f64 x x)))

Compiler

Compiled 1265 to 791 computations (37.5% saved)

series119.0ms (5.4%)

Error

Counts

2 → 24

Calls

2 calls:

56.0ms	(.f64 x (/.f64 1 (+.f64 1 (.f64 x x))))
44.0ms	(/.f64 1 (+.f64 1 (*.f64 x x)))

Compiler

Compiled 576 to 465 computations (19.3% saved)

simplify67.0ms (3%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5471	1382

prune73.0ms (3.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	95	4	99

Error

Counts

99 → 4

Compiler

Compiled 1353 to 846 computations (37.5% saved)

localize2.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	2	2
Total	4	4

Error

Counts

4 → 4

Compiler

Compiled 10 to 8 computations (20% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.1b	(pow.f64 (/.f64 x (+.f64 1 (*.f64 x x))) 3)
14.8b	(/.f64 x (+.f64 1 (*.f64 x x)))
40.4b	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (*.f64 x x))) 3))

rewrite164.0ms (7.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

45×	`times-frac_binary64_1107`
41×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
36×	`cbrt-prod_binary64_1132`
30×	`unpow-prod-down_binary64_1180` `cube-prod_binary64_1129`
10×	`associate-/r/_binary64_1047`
8×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
5×	`div-inv_binary64_1098` `flip3-+_binary64_1104` `flip-+_binary64_1075`
4×	`pow1_binary64_1162`
3×	`add-log-exp_binary64_1140` `associate-/l_binary64_1046` `associate-/r_binary64_1045` `pow-unpow_binary64_1178`
2×	`cube-div_binary64_1130` `unpow3_binary64_1167` `cube-mult_binary64_1131` `sqr-pow_binary64_1073` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `pow-exp_binary64_1169` `rem-cube-cbrt_binary64_1124`
1×	`pow1/3_binary64_1183` `cbrt-div_binary64_1133` `rem-cbrt-cube_binary64_1125` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `pow-pow_binary64_1173` `pow-to-exp_binary64_1170`

Counts

3 → 125

Calls

3 calls:

9.0ms	(pow.f64 (/.f64 x (+.f64 1 (*.f64 x x))) 3)
8.0ms	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (*.f64 x x))) 3))
5.0ms	(/.f64 x (+.f64 1 (*.f64 x x)))

Compiler

Compiled 2703 to 1648 computations (39% saved)

series268.0ms (12.3%)

Error

Counts

3 → 36

Calls

3 calls:

84.0ms	(/.f64 x (+.f64 1 (*.f64 x x)))
83.0ms	(pow.f64 (/.f64 x (+.f64 1 (*.f64 x x))) 3)
70.0ms	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (*.f64 x x))) 3))

Compiler

Compiled 984 to 841 computations (14.5% saved)

simplify57.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5111	2978

prune136.0ms (6.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	161	0	161
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	161	4	165

Error

Counts

165 → 4

Compiler

Compiled 2512 to 1595 computations (36.5% saved)

regimes125.0ms (5.7%)

Accuracy

Total 0.0b remaining (92.9%)

Threshold costs 0.0b (92.9%)

Compiler

Compiled 766 to 502 computations (34.5% saved)

bsearch28.0ms (1.3%)

Steps

Iters	Range		Point
10	3.350798420251125e-05	306555399.8370884	82504136.52564584
9	-1338889093.4262097	-770.2768345396795	-111505787.31416105

Compiler

Compiled 1 to 1 computations (0% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	31
1	21	31

end0.0ms (0%)

sample698.0ms (31.9%)

Algorithm

1×

intervals

Results

168.0ms

8000×

body

128

valid

Compiler

Compiled 367 to 246 computations (33% saved)

Details

analyze104.0ms (4.8%)

sample12.0ms (0.5%)

simplify7.0ms (0.3%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite41.0ms (1.9%)

series69.0ms (3.2%)

simplify71.0ms (3.2%)

prune33.0ms (1.5%)

localize5.0ms (0.2%)

rewrite87.0ms (4%)

series119.0ms (5.4%)

simplify67.0ms (3%)

prune73.0ms (3.3%)

localize2.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.3%)

prune1.0ms (0.1%)

localize7.0ms (0.3%)

rewrite164.0ms (7.5%)

series268.0ms (12.3%)

simplify57.0ms (2.6%)

prune136.0ms (6.2%)

regimes125.0ms (5.7%)

bsearch28.0ms (1.3%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample698.0ms (31.9%)

Profiling