Details

analyze354.0ms (3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4923	86
1	4923	86
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
25%	74.9%	0.1%	5
25%	68.7%	6.3%	6
25%	53.1%	22%	7
25%	46.8%	28.2%	8
25%	33.6%	41.5%	9
28.1%	18%	54%	10
31.6%	12.1%	56.3%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 30 to 20 computations (33.3% saved)

sample26.0ms (0.2%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 59 to 41 computations (30.5% saved)

simplify75.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4915	43
1	4915	43

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.2b

Counts

2 → 1

Compiler

Compiled 58 to 38 computations (34.5% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
0.1b	(.f64 (.f64 a a) (-.f64 1 a))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.9b	(.f64 (.f64 b b) (+.f64 3 a))

rewrite277.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

15×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465`
14×	`add-cbrt-cube_binary64_2501`
10×	`add-cube-cbrt_binary64_2500` `associate-r_binary64_2405`
6×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `add-log-exp_binary64_2504` `cbrt-unprod_binary64_2498` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `cancel-sign-sub-inv_binary64_2431`
4×	`associate-*r/_binary64_2407`
3×	`unpow-prod-down_binary64_2544` `pow-unpow_binary64_2542`
2×	`unswap-sqr_binary64_2433` `flip3-+_binary64_2468` `flip-+_binary64_2439` `associate-l_binary64_2406` `*-commutative_binary64_2396` `sub-neg_binary64_2458` `difference-of-squares_binary64_2434` `associate-+r+_binary64_2397`
1×	`distribute-lft-out_binary64_2416` `pow-pow_binary64_2537` `pow-to-exp_binary64_2534` `pow-exp_binary64_2533` `unpow2_binary64_2530` `sqr-pow_binary64_2437` `flip3--_binary64_2469` `flip--_binary64_2440` `distribute-lft-out--_binary64_2417` `sum-log_binary64_2556` `+-commutative_binary64_2395`

Counts

4 → 87

Calls

4 calls:

12.0ms	(.f64 (.f64 b b) (+.f64 3 a))
10.0ms	(.f64 (.f64 a a) (-.f64 1 a))
9.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 3139 to 1575 computations (49.8% saved)

series954.0ms (8.2%)

Error

0.0b

Counts

4 → 41

Calls

4 calls:

648.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
114.0ms	(.f64 (.f64 b b) (+.f64 3 a))
80.0ms	(.f64 (.f64 a a) (-.f64 1 a))
57.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 2276 to 1763 computations (22.5% saved)

simplify83.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4965	2244
1	4965	2244

prune182.0ms (1.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	123	5	128
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	124	5	129

Error

Counts

129 → 5

Compiler

Compiled 2795 to 1480 computations (47% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2)
0.9b	(.f64 (+.f64 a 3) (.f64 b b))
4.9b	(exp.f64 (log.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (+.f64 a 3) (.f64 b b)) (-.f64 (.f64 a a) (pow.f64 a 3)))))))
7.7b	(log.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (+.f64 a 3) (.f64 b b)) (-.f64 (.f64 a a) (pow.f64 a 3))))))

rewrite229.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`pow1_binary64_2526` `*-un-lft-identity_binary64_2465`
11×	`add-sqr-sqrt_binary64_2487` `add-exp-log_binary64_2503`
10×	`add-cube-cbrt_binary64_2500`
9×	`add-cbrt-cube_binary64_2501`
6×	`log-prod_binary64_2551`
4×	`log-div_binary64_2552` `add-log-exp_binary64_2504` `exp-prod_binary64_2517` `associate-l_binary64_2406`
3×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `exp-sum_binary64_2511` `pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `unpow-prod-down_binary64_2544` `pow-unpow_binary64_2542`
2×	`log-pow_binary64_2554` `exp-diff_binary64_2513` `associate-*l/_binary64_2408`
1×	`rem-log-exp_binary64_2506` `rem-exp-log_binary64_2505` `unswap-sqr_binary64_2433` `distribute-lft-out_binary64_2416` `associate-r_binary64_2405` `*-commutative_binary64_2396` `pow-pow_binary64_2537` `pow-to-exp_binary64_2534` `pow-exp_binary64_2533` `unpow2_binary64_2530` `sqr-pow_binary64_2437`

Counts

4 → 71

Calls

4 calls:

11.0ms	(exp.f64 (log.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (+.f64 a 3) (.f64 b b)) (-.f64 (.f64 a a) (pow.f64 a 3)))))))
9.0ms	(.f64 (+.f64 a 3) (.f64 b b))
7.0ms	(log.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (+.f64 a 3) (.f64 b b)) (-.f64 (.f64 a a) (pow.f64 a 3))))))
5.0ms	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2)

Compiler

Compiled 3131 to 1638 computations (47.7% saved)

series5.6s (48.3%)

Error

Counts

4 → 48

Calls

4 calls:

5.0s	(exp.f64 (log.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (+.f64 a 3) (.f64 b b)) (-.f64 (.f64 a a) (pow.f64 a 3)))))))
351.0ms	(log.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (+.f64 a 3) (.f64 b b)) (-.f64 (.f64 a a) (pow.f64 a 3))))))
116.0ms	(.f64 (+.f64 a 3) (.f64 b b))
60.0ms	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2)

Compiler

Compiled 5079 to 4238 computations (16.6% saved)

simplify73.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	6134	3664

prune247.0ms (2.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	119	5	124

Error

Counts

124 → 5

Compiler

Compiled 3623 to 2073 computations (42.8% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (pow.f64 b 4) (.f64 (.f64 b b) 12))
0.2b	(.f64 (.f64 b b) 12)

rewrite69.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
4×	`add-log-exp_binary64_2504` `add-sqr-sqrt_binary64_2487`
3×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `add-cube-cbrt_binary64_2500` `cbrt-unprod_binary64_2498` `-un-lft-identity_binary64_2465` `associate-r*_binary64_2405`
1×	`unswap-sqr_binary64_2433` `associate-l_binary64_2406` `*-commutative_binary64_2396` `sum-log_binary64_2556` `flip3-+_binary64_2468` `flip-+_binary64_2439` `+-commutative_binary64_2395`

Counts

2 → 30

Calls

2 calls:

6.0ms	(.f64 (.f64 b b) 12)
6.0ms	(+.f64 (pow.f64 b 4) (.f64 (.f64 b b) 12))

Compiler

Compiled 523 to 349 computations (33.3% saved)

series156.0ms (1.3%)

Error

Counts

2 → 9

Calls

2 calls:

109.0ms	(+.f64 (pow.f64 b 4) (.f64 (.f64 b b) 12))
41.0ms	(.f64 (.f64 b b) 12)

Compiler

Compiled 183 to 182 computations (0.5% saved)

simplify64.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4847	435
1	4847	435

prune52.0ms (0.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	39	5	44

Error

Counts

44 → 5

Compiler

Compiled 474 to 338 computations (28.7% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 2 (.f64 b b))
0.0b	(+.f64 (.f64 (pow.f64 a 3) (+.f64 a -4)) (.f64 (.f64 a a) (+.f64 (.f64 2 (*.f64 b b)) 4)))
0.1b	(*.f64 (pow.f64 a 3) (+.f64 a -4))
1.1b	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) 4))

rewrite263.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`add-exp-log_binary64_2503` `add-sqr-sqrt_binary64_2487`
16×	`add-cbrt-cube_binary64_2501` `associate-l_binary64_2406`
14×	`pow1_binary64_2526`
12×	`-un-lft-identity_binary64_2465` `associate-r/_binary64_2407`
10×	`add-cube-cbrt_binary64_2500`
9×	`prod-exp_binary64_2514`
8×	`associate-r_binary64_2405`
7×	`cbrt-unprod_binary64_2498` `flip3-+_binary64_2468` `flip-+_binary64_2439`
6×	`pow-prod-down_binary64_2536` `add-log-exp_binary64_2504` `unswap-sqr_binary64_2433`
4×	`distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `unpow-prod-down_binary64_2544` `cube-prod_binary64_2493` `frac-add_binary64_2473`
3×	`*-commutative_binary64_2396`
2×	`sqr-pow_binary64_2437` `associate-+l+_binary64_2398` `associate-+r+_binary64_2397`
1×	`pow-to-exp_binary64_2534` `pow-exp_binary64_2533` `unpow3_binary64_2531` `cube-mult_binary64_2495` `distribute-lft-out_binary64_2416` `sum-log_binary64_2556` `+-commutative_binary64_2395`

Counts

4 → 97

Calls

4 calls:

12.0ms	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) 4))
11.0ms	(+.f64 (.f64 (pow.f64 a 3) (+.f64 a -4)) (.f64 (.f64 a a) (+.f64 (.f64 2 (*.f64 b b)) 4)))
9.0ms	(*.f64 (pow.f64 a 3) (+.f64 a -4))
6.0ms	(.f64 2 (.f64 b b))

Compiler

Compiled 2784 to 1781 computations (36% saved)

series907.0ms (7.8%)

Error

Counts

4 → 33

Calls

4 calls:

548.0ms	(+.f64 (.f64 (pow.f64 a 3) (+.f64 a -4)) (.f64 (.f64 a a) (+.f64 (.f64 2 (*.f64 b b)) 4)))
207.0ms	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) 4))
88.0ms	(*.f64 (pow.f64 a 3) (+.f64 a -4))
35.0ms	(.f64 2 (.f64 b b))

Compiler

Compiled 1344 to 1162 computations (13.5% saved)

simplify96.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4941	2309
1	4941	2309

prune155.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	1	1	2
Picked	1	0	1
Done	1	1	2
Total	132	3	135

Error

Counts

135 → 3

Compiler

Compiled 2240 to 1445 computations (35.5% saved)

regimes839.0ms (7.2%)

Accuracy

Total -0.1b remaining (-33.6%)

Threshold costs -0.1b (-33.6%)

Compiler

Compiled 10487 to 7552 computations (28% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	89
1	40	89

end3.0ms (0%)

Compiler: Compiled 59 to 34 computations (42.4% saved)

sample866.0ms (7.4%)

Algorithm

1×

intervals

Results

509.0ms	8000×	body	128	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 131 to 99 computations (24.4% saved)

Details

analyze354.0ms (3%)

sample26.0ms (0.2%)

simplify75.0ms (0.6%)

prune4.0ms (0%)

localize15.0ms (0.1%)

rewrite277.0ms (2.4%)

series954.0ms (8.2%)

simplify83.0ms (0.7%)

prune182.0ms (1.6%)

localize20.0ms (0.2%)

rewrite229.0ms (2%)

series5.6s (48.3%)

simplify73.0ms (0.6%)

prune247.0ms (2.1%)

localize7.0ms (0.1%)

rewrite69.0ms (0.6%)

series156.0ms (1.3%)

simplify64.0ms (0.5%)

prune52.0ms (0.4%)

localize14.0ms (0.1%)

rewrite263.0ms (2.3%)

series907.0ms (7.8%)

simplify96.0ms (0.8%)

prune155.0ms (1.3%)

regimes839.0ms (7.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end3.0ms (0%)

sample866.0ms (7.4%)

Profiling