Details

analyze35.0ms (1.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	6.2%	93.8%	0
0%	6.2%	93.8%	1
0%	6.2%	93.8%	2
1.6%	3.1%	95.3%	3
1.6%	3.1%	95.3%	4
2.3%	1.6%	96.1%	5
2.3%	1.6%	96.1%	6
2.7%	0.8%	96.5%	7
2.7%	0.8%	96.5%	8
2.9%	0.4%	96.7%	9
2.9%	0.4%	96.7%	10
3%	0.2%	96.8%	11
3%	0.2%	96.8%	12
3.1%	0.1%	96.8%	13
3.1%	0.1%	96.8%	14

Compiler

Compiled 18 to 11 computations (38.9% saved)

sample20.0ms (0.9%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
5.0ms	256×	pre	128	true
0.0ms	2×	pre	128	false

Compiler

Compiled 31 to 21 computations (32.3% saved)

simplify257.0ms (11.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4853	17
1	4853	17

prune4.0ms (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

Merged error: 10.6b

Counts

2 → 2

Compiler

Compiled 35 to 26 computations (25.7% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))
0.0b	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
26.1b	(/.f64 (.f64 b b) (.f64 a a))

rewrite20.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-exp-log_binary64_801` `add-cbrt-cube_binary64_799`
10×	`add-sqr-sqrt_binary64_785`
9×	`*-un-lft-identity_binary64_763`
5×	`cancel-sign-sub-inv_binary64_729` `add-cube-cbrt_binary64_798` `add-log-exp_binary64_802`
4×	`cbrt-undiv_binary64_797` `pow1_binary64_824` `prod-exp_binary64_812` `cbrt-unprod_binary64_796` `div-exp_binary64_814` `times-frac_binary64_769` `difference-of-squares_binary64_732`
3×	`sqrt-prod_binary64_779`
2×	`div-inv_binary64_760`
1×	`distribute-lft-out--_binary64_715` `frac-2neg_binary64_774` `diff-log_binary64_855` `pow1/2_binary64_843` `sqrt-pow1_binary64_781` `associate-/r_binary64_707` `clear-num_binary64_762` `rem-sqrt-square_binary64_776` `sub-neg_binary64_756` `associate-/l_binary64_708` `flip3--_binary64_767` `flip--_binary64_738`

Counts

3 → 55

Calls

3 calls:

7.0ms	(/.f64 (.f64 b b) (.f64 a a))
7.0ms	(-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))
1.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))

series138.0ms (6.2%)

Counts

3 → 9

Calls

3 calls:

54.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
44.0ms	(-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))
40.0ms	(/.f64 (.f64 b b) (.f64 a a))

simplify70.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5295	905

prune52.0ms (2.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	62	2	64
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	63	3	66

Merged error: 0b

Counts

66 → 3

Compiler

Compiled 930 to 444 computations (52.3% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 1 (cbrt.f64 (pow.f64 (/.f64 b a) 6)))
0.0b	(sqrt.f64 (fabs.f64 (-.f64 1 (cbrt.f64 (pow.f64 (/.f64 b a) 6)))))
0.3b	(pow.f64 (/.f64 b a) 6)
28.0b	(cbrt.f64 (pow.f64 (/.f64 b a) 6))

rewrite35.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`add-sqr-sqrt_binary64_785`
43×	`unpow-prod-down_binary64_842`
42×	`cbrt-prod_binary64_794`
37×	`*-un-lft-identity_binary64_763`
30×	`add-cube-cbrt_binary64_798`
29×	`times-frac_binary64_769`
20×	`cancel-sign-sub-inv_binary64_729`
10×	`difference-of-squares_binary64_732`
7×	`add-exp-log_binary64_801`
6×	`pow1_binary64_824` `add-log-exp_binary64_802`
5×	`sqr-pow_binary64_735`
4×	`add-cbrt-cube_binary64_799`
3×	`sqrt-prod_binary64_779` `div-inv_binary64_760` `pow-unpow_binary64_840`
2×	`pow-exp_binary64_831`
1×	`distribute-lft-out--_binary64_715` `diff-log_binary64_855` `pow1/2_binary64_843` `sqrt-pow1_binary64_781` `pow-pow_binary64_835` `pow-to-exp_binary64_832` `rem-sqrt-square_binary64_776` `pow1/3_binary64_845` `div-exp_binary64_814` `sub-neg_binary64_756` `flip3--_binary64_767` `flip--_binary64_738`

Counts

4 → 108

Calls

4 calls:

13.0ms	(-.f64 1 (cbrt.f64 (pow.f64 (/.f64 b a) 6)))
5.0ms	(pow.f64 (/.f64 b a) 6)
5.0ms	(cbrt.f64 (pow.f64 (/.f64 b a) 6))
2.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (cbrt.f64 (pow.f64 (/.f64 b a) 6)))))

series215.0ms (9.7%)

Counts

4 → 12

Calls

4 calls:

83.0ms	(pow.f64 (/.f64 b a) 6)
50.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (cbrt.f64 (pow.f64 (/.f64 b a) 6)))))
48.0ms	(-.f64 1 (cbrt.f64 (pow.f64 (/.f64 b a) 6)))
34.0ms	(cbrt.f64 (pow.f64 (/.f64 b a) 6))

simplify89.0ms (4%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4924	1900
1	4924	1900

prune116.0ms (5.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	121	2	123

Merged error: 0b

Counts

123 → 2

Compiler

Compiled 1844 to 1273 computations (31% saved)

localize12.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (-.f64 1 (log.f64 (exp.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 6)))))))
0.3b	(pow.f64 (/.f64 b a) 6)
4.0b	(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 6))))
28.0b	(cbrt.f64 (pow.f64 (/.f64 b a) 6))

rewrite30.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`unpow-prod-down_binary64_842`
34×	`cbrt-prod_binary64_794`
32×	`add-sqr-sqrt_binary64_785`
31×	`*-un-lft-identity_binary64_763` `add-cube-cbrt_binary64_798`
27×	`times-frac_binary64_769`
21×	`log-pow_binary64_852`
20×	`exp-prod_binary64_815`
7×	`add-exp-log_binary64_801` `pow1_binary64_824`
4×	`add-cbrt-cube_binary64_799` `add-log-exp_binary64_802`
3×	`sqrt-prod_binary64_779` `log-prod_binary64_849` `div-inv_binary64_760` `sqr-pow_binary64_735` `pow-unpow_binary64_840`
2×	`pow-exp_binary64_831`
1×	`pow1/2_binary64_843` `sqrt-pow1_binary64_781` `pow-pow_binary64_835` `pow-to-exp_binary64_832` `rem-sqrt-square_binary64_776` `pow1/3_binary64_845` `rem-log-exp_binary64_804` `div-exp_binary64_814`

Counts

4 → 98

Calls

4 calls:

9.0ms	(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 6))))
5.0ms	(pow.f64 (/.f64 b a) 6)
5.0ms	(cbrt.f64 (pow.f64 (/.f64 b a) 6))
1.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (log.f64 (exp.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 6)))))))

series214.0ms (9.7%)

Counts

4 → 12

Calls

4 calls:

73.0ms	(pow.f64 (/.f64 b a) 6)
57.0ms	(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 6))))
49.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (log.f64 (exp.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 6)))))))
36.0ms	(cbrt.f64 (pow.f64 (/.f64 b a) 6))

simplify75.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5482	1240

prune109.0ms (4.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	110	2	112

Merged error: 0b

Counts

112 → 2

Compiler

Compiled 1714 to 1212 computations (29.3% saved)

regimes32.0ms (1.5%)

Compiler: Compiled 108 to 104 computations (3.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	20
1	23	20

end0.0ms (0%)

sample672.0ms (30.4%)

Algorithm

1×

intervals

Results

270.0ms	8000×	body	128	valid
157.0ms	8000×	pre	128	true
2.0ms	128×	pre	128	false

Compiler

Compiled 53 to 46 computations (13.2% saved)

Details

analyze35.0ms (1.6%)

sample20.0ms (0.9%)

simplify257.0ms (11.6%)

prune4.0ms (0.2%)

localize7.0ms (0.3%)

rewrite20.0ms (0.9%)

series138.0ms (6.2%)

simplify70.0ms (3.2%)

prune52.0ms (2.4%)

localize8.0ms (0.4%)

rewrite35.0ms (1.6%)

series215.0ms (9.7%)

simplify89.0ms (4%)

prune116.0ms (5.2%)

localize12.0ms (0.6%)

rewrite30.0ms (1.3%)

series214.0ms (9.7%)

simplify75.0ms (3.4%)

prune109.0ms (4.9%)

regimes32.0ms (1.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample672.0ms (30.4%)

Profiling