Details

analyze90.0ms (4%)

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

prune5.0ms (0.2%)

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

16.7b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

16.7b

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

rewrite38.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

16.7b

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)

series62.0ms (2.7%)

Error

0.0b

Counts

1 → 10

Calls

1 calls:

53.0ms

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

Compiler

Compiled 213 to 176 computations (17.4% saved)

simplify63.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4967	641
1	4967	641

prune37.0ms (1.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	36	3	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	4	40

Error

Counts

40 → 4

Compiler

Compiled 557 to 320 computations (42.5% saved)

localize11.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
16.7b	(sqrt.f64 (+.f64 1 (*.f64 x x)))
16.7b	(sqrt.f64 (+.f64 1 (*.f64 x x)))

rewrite72.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`add-sqr-sqrt_binary64_1123`
8×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
6×	`pow1_binary64_1162` `sqrt-prod_binary64_1117` `cbrt-prod_binary64_1132`
4×	`add-log-exp_binary64_1140` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `sqrt-div_binary64_1118`
2×	`pow1/2_binary64_1181` `sqrt-pow1_binary64_1119` `flip3-+_binary64_1104` `flip-+_binary64_1075` `rem-sqrt-square_binary64_1114` `pow1/3_binary64_1183`

Counts

4 → 52

Calls

4 calls:

3.0ms	(sqrt.f64 (+.f64 1 (*.f64 x x)))
3.0ms	(sqrt.f64 (+.f64 1 (*.f64 x x)))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1472 to 672 computations (54.3% saved)

series275.0ms (12.3%)

Error

Counts

4 → 24

Calls

4 calls:

80.0ms	(cbrt.f64 x)
80.0ms	(cbrt.f64 x)
46.0ms	(sqrt.f64 (+.f64 1 (*.f64 x x)))
45.0ms	(sqrt.f64 (+.f64 1 (*.f64 x x)))

Compiler

Compiled 1476 to 923 computations (37.5% saved)

simplify62.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4900	710
1	4900	710

prune80.0ms (3.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	76	4	80

Error

Counts

80 → 4

Compiler

Compiled 1934 to 901 computations (53.4% 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)

simplify6.0ms (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 9 to 7 computations (22.2% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(log.f64 (/.f64 x (+.f64 1 (*.f64 x x))))
2.8b	(exp.f64 (log.f64 (/.f64 x (+.f64 1 (*.f64 x x)))))
16.7b	(/.f64 x (+.f64 1 (*.f64 x x)))

rewrite101.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

30×	`log-prod_binary64_1187`
27×	`times-frac_binary64_1107`
26×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
15×	`exp-sum_binary64_1147`
8×	`add-exp-log_binary64_1139`
6×	`associate-/r/_binary64_1047`
5×	`pow1_binary64_1162` `add-cbrt-cube_binary64_1137`
4×	`exp-prod_binary64_1153`
3×	`add-log-exp_binary64_1140` `div-inv_binary64_1098` `flip3-+_binary64_1104` `flip-+_binary64_1075` `associate-/l_binary64_1046` `associate-/r_binary64_1045`
2×	`div-exp_binary64_1152` `log-pow_binary64_1190` `log-div_binary64_1188` `rem-log-exp_binary64_1142`
1×	`cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `exp-diff_binary64_1149` `rem-exp-log_binary64_1141`

Counts

3 → 83

Calls

3 calls:

6.0ms	(exp.f64 (log.f64 (/.f64 x (+.f64 1 (*.f64 x x)))))
5.0ms	(/.f64 x (+.f64 1 (*.f64 x x)))
4.0ms	(log.f64 (/.f64 x (+.f64 1 (*.f64 x x))))

Compiler

Compiled 1583 to 915 computations (42.2% saved)

series182.0ms (8.1%)

Error

Counts

3 → 22

Calls

3 calls:

58.0ms	(exp.f64 (log.f64 (/.f64 x (+.f64 1 (*.f64 x x)))))
58.0ms	(log.f64 (/.f64 x (+.f64 1 (*.f64 x x))))
47.0ms	(/.f64 x (+.f64 1 (*.f64 x x)))

Compiler

Compiled 638 to 540 computations (15.4% saved)

simplify91.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4984	1740
1	4984	1740

prune83.0ms (3.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	105	4	109

Error

Counts

109 → 4

Compiler

Compiled 1503 to 914 computations (39.2% saved)

regimes147.0ms (6.6%)

Accuracy

Total 0.4b remaining (99.8%)

Threshold costs 0.4b (99.8%)

Compiler

Compiled 845 to 561 computations (33.6% saved)

bsearch2.0ms (0.1%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	59
1	21	59

end0.0ms (0%)

sample799.0ms (35.6%)

Algorithm

1×

intervals

Results

174.0ms

8000×

body

128

valid

Compiler

Compiled 420 to 281 computations (33.1% saved)

Details

analyze90.0ms (4%)

sample12.0ms (0.5%)

simplify7.0ms (0.3%)

prune5.0ms (0.2%)

localize4.0ms (0.2%)

rewrite38.0ms (1.7%)

series62.0ms (2.7%)

simplify63.0ms (2.8%)

prune37.0ms (1.6%)

localize11.0ms (0.5%)

rewrite72.0ms (3.2%)

series275.0ms (12.3%)

simplify62.0ms (2.8%)

prune80.0ms (3.6%)

localize2.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.3%)

prune1.0ms (0.1%)

localize7.0ms (0.3%)

rewrite101.0ms (4.5%)

series182.0ms (8.1%)

simplify91.0ms (4.1%)

prune83.0ms (3.7%)

regimes147.0ms (6.6%)

bsearch2.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample799.0ms (35.6%)

Profiling