Details

analyze148.0ms (9.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	188	14
1	188	14
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
37.5%	62.4%	0.1%	5
56.2%	43.7%	0.1%	6
62.4%	31.2%	6.3%	7
71.8%	21.9%	6.3%	8
74.9%	15.6%	9.5%	9
79.6%	10.9%	9.5%	10
81.2%	7.8%	11%	11
83.5%	5.5%	11%	12
84.3%	3.9%	11.8%	13
85.5%	2.7%	11.8%	14

Compiler

Compiled 6 to 6 computations (0% saved)

sample13.0ms (0.8%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify13.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	128	7
1	128	7

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

0.0b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 x (-.f64 1 y))

rewrite35.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`add-sqr-sqrt_binary64_7261`
8×	`*-un-lft-identity_binary64_7239`
6×	`cancel-sign-sub-inv_binary64_7205` `associate-r_binary64_7179`
5×	`add-cube-cbrt_binary64_7274`
4×	`distribute-rgt-in_binary64_7189` `distribute-lft-in_binary64_7188`
3×	`pow1_binary64_7300` `add-exp-log_binary64_7277` `add-cbrt-cube_binary64_7275` `associate-l_binary64_7180`
2×	`sub-neg_binary64_7232` `associate-*r/_binary64_7181` `difference-of-squares_binary64_7208`
1×	`pow-prod-down_binary64_7310` `prod-exp_binary64_7288` `add-log-exp_binary64_7278` `cbrt-unprod_binary64_7272` `unswap-sqr_binary64_7207` `flip3--_binary64_7243` `flip--_binary64_7214` `distribute-lft-out--_binary64_7191` `*-commutative_binary64_7170`

Counts

1 → 31

Calls

1 calls:

8.0ms

(*.f64 x (-.f64 1 y))

Compiler

Compiled 349 to 222 computations (36.4% saved)

series63.0ms (4%)

Error

0.0b

Counts

1 → 9

Calls

1 calls:

57.0ms

(*.f64 x (-.f64 1 y))

Compiler

Compiled 112 to 83 computations (25.9% saved)

simplify36.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	4993	325
1	4993	325

prune27.0ms (1.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	38	2	40
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	39	2	41

Error

Counts

41 → 2

Compiler

Compiled 333 to 190 computations (42.9% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x (neg.f64 (*.f64 x y)))

rewrite14.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

5×	`add-log-exp_binary64_7278`
3×	`*-un-lft-identity_binary64_7239`
2×	`sum-log_binary64_7330`
1×	`neg-log_binary64_7332` `pow1_binary64_7300` `add-exp-log_binary64_7277` `add-cbrt-cube_binary64_7275` `add-cube-cbrt_binary64_7274` `add-sqr-sqrt_binary64_7261` `flip3-+_binary64_7242` `unsub-neg_binary64_7233` `flip-+_binary64_7213` `distribute-lft-out_binary64_7190` `neg-sub0_binary64_7234` `associate-+r-_binary64_7173` `+-commutative_binary64_7169`

Counts

1 → 15

Calls

1 calls:

4.0ms

(+.f64 x (neg.f64 (*.f64 x y)))

Compiler

Compiled 187 to 51 computations (72.7% saved)

series52.0ms (3.3%)

Error

Counts

1 → 9

Calls

1 calls:

48.0ms

(+.f64 x (neg.f64 (*.f64 x y)))

Compiler

Compiled 118 to 89 computations (24.6% saved)

simplify67.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5437	205

prune14.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	24	0	24
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	24	2	26

Error

Counts

26 → 2

Compiler

Compiled 194 to 105 computations (45.9% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

3.6b	(.f64 x (-.f64 1 (.f64 y y)))
9.7b	(/.f64 (.f64 x (-.f64 1 (.f64 y y))) (+.f64 1 y))

rewrite64.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

11×	`*-un-lft-identity_binary64_7239`
9×	`add-exp-log_binary64_7277` `add-cbrt-cube_binary64_7275` `add-sqr-sqrt_binary64_7261`
6×	`add-cube-cbrt_binary64_7274`
5×	`associate-r_binary64_7179`
4×	`pow1_binary64_7300` `times-frac_binary64_7245` `associate-r/_binary64_7181` `associate-/r_binary64_7183`
3×	`associate-l_binary64_7180`
2×	`prod-exp_binary64_7288` `div-exp_binary64_7290` `add-log-exp_binary64_7278` `cbrt-undiv_binary64_7273` `cbrt-unprod_binary64_7272` `distribute-lft-out_binary64_7190` `flip3--_binary64_7243` `associate-/l/_binary64_7186` `flip--_binary64_7214` `associate-/r/_binary64_7185` `sub-neg_binary64_7232` `distribute-rgt-in_binary64_7189` `cancel-sign-sub-inv_binary64_7205` `distribute-lft-in_binary64_7188` `difference-of-squares_binary64_7208`
1×	`frac-2neg_binary64_7250` `clear-num_binary64_7238` `div-inv_binary64_7236` `flip3-+_binary64_7242` `flip-+_binary64_7213` `associate-/l_binary64_7184` `pow-prod-down_binary64_7310` `unswap-sqr_binary64_7207` `-commutative_binary64_7170`

Counts

2 → 53

Calls

2 calls:

9.0ms	(/.f64 (.f64 x (-.f64 1 (.f64 y y))) (+.f64 1 y))
6.0ms	(.f64 x (-.f64 1 (.f64 y y)))

Compiler

Compiled 998 to 590 computations (40.9% saved)

series228.0ms (14.4%)

Error

Counts

2 → 18

Calls

2 calls:

125.0ms	(/.f64 (.f64 x (-.f64 1 (.f64 y y))) (+.f64 1 y))
93.0ms	(.f64 x (-.f64 1 (.f64 y y)))

Compiler

Compiled 418 to 331 computations (20.8% saved)

simplify61.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5312	938

prune50.0ms (3.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	71	2	73

Error

Counts

73 → 2

Compiler

Compiled 993 to 558 computations (43.8% saved)

regimes108.0ms (6.8%)

Accuracy

Total 0.0b remaining (98.3%)

Threshold costs 0.0b (98.3%)

Compiler

Compiled 654 to 578 computations (11.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	7
1	32	7

end0.0ms (0%)

sample570.0ms (36.1%)

Algorithm

1×

intervals

Results

157.0ms	8000×	body	128	valid
1.0ms	70×	body	128	invalid

Compiler

Compiled 150 to 132 computations (12% saved)

Details

analyze148.0ms (9.4%)

sample13.0ms (0.8%)

simplify13.0ms (0.8%)

prune2.0ms (0.1%)

localize3.0ms (0.2%)

rewrite35.0ms (2.2%)

series63.0ms (4%)

simplify36.0ms (2.3%)

prune27.0ms (1.7%)

localize4.0ms (0.3%)

rewrite14.0ms (0.9%)

series52.0ms (3.3%)

simplify67.0ms (4.2%)

prune14.0ms (0.9%)

localize6.0ms (0.4%)

rewrite64.0ms (4%)

series228.0ms (14.4%)

simplify61.0ms (3.8%)

prune50.0ms (3.2%)

regimes108.0ms (6.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample570.0ms (36.1%)

Profiling