Details

analyze2.6s (8.6%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6568	928
0	8	8
1	8	8

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	7
0%	74.7%	25.3%	8
0%	74.7%	25.3%	8
0%	74.7%	25.3%	9
0%	74.7%	25.3%	9
0%	65.4%	34.6%	10
0%	65.4%	34.6%	10
0%	51.4%	48.6%	11
0%	51.4%	48.6%	11
0%	51.4%	48.6%	12
0%	51.4%	48.6%	12
0%	51.4%	48.6%	13
0%	51.4%	48.6%	13
0%	51.4%	48.6%	14
0%	51.4%	48.6%	14

Symmetry

(sort z t a)

Compiler

Compiled 44 to 42 computations (4.5% saved)

sample10.7s (36.1%)

Algorithm

2×

intervals

Results

150.0ms	1714×	body	128	nan
44.0ms	512×	body	128	valid
7.0ms	76×	body	128	invalid

Compiler

Compiled 26179 to 34501 computations (-31.8% saved)

simplify57.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	1958	32
1	1958	32

prune4.0ms (0%)

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

0.1b

Counts

2 → 1

Compiler

Compiled 42 to 40 computations (4.8% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c)))
0.0b	(+.f64 (*.f64 x (log.f64 y)) z)
0.2b	(*.f64 (-.f64 b 1/2) (log.f64 c))
0.3b	(*.f64 x (log.f64 y))

rewrite202.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

24×	`log-prod_binary64_2551`
22×	`add-sqr-sqrt_binary64_2487`
20×	`add-log-exp_binary64_2504`
18×	`*-un-lft-identity_binary64_2465`
16×	`add-cube-cbrt_binary64_2500`
12×	`distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414`
11×	`sum-log_binary64_2556`
10×	`pow1_binary64_2526`
8×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `associate-l_binary64_2406` `associate-r_binary64_2405`
7×	`associate-+l+_binary64_2398`
6×	`associate-*l/_binary64_2408` `associate-+r+_binary64_2397`
4×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `frac-add_binary64_2473`
3×	`flip3--_binary64_2469` `flip--_binary64_2440`
2×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `unswap-sqr_binary64_2433` `log-pow_binary64_2554` `*-commutative_binary64_2396` `+-commutative_binary64_2395`
1×	`difference-of-squares_binary64_2434` `distribute-lft-out--_binary64_2417`

Counts

4 → 96

Calls

4 calls:

15.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c)))
7.0ms	(*.f64 (-.f64 b 1/2) (log.f64 c))
5.0ms	(*.f64 x (log.f64 y))
5.0ms	(+.f64 (*.f64 x (log.f64 y)) z)

Compiler

Compiled 3055 to 1063 computations (65.2% saved)

series2.9s (9.6%)

Error

0.1b

Counts

4 → 66

Calls

4 calls:

2.0s	(+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c)))
337.0ms	(+.f64 (*.f64 x (log.f64 y)) z)
270.0ms	(*.f64 (-.f64 b 1/2) (log.f64 c))
208.0ms	(*.f64 x (log.f64 y))

Compiler

Compiled 3680 to 2590 computations (29.6% saved)

simplify75.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5339	2872

prune235.0ms (0.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	154	8	162
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	155	8	163

Error

0.0b

Counts

163 → 8

Compiler

Compiled 4273 to 1507 computations (64.7% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (*.f64 (log.f64 y) x) (+.f64 t (+.f64 z a)))
0.2b	(*.f64 (+.f64 -1/2 b) (log.f64 (sqrt.f64 c)))
0.2b	(*.f64 (log.f64 (sqrt.f64 c)) (-.f64 b 1/2))
0.3b	(*.f64 (log.f64 y) x)

rewrite214.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

24×	`add-sqr-sqrt_binary64_2487`
20×	`*-un-lft-identity_binary64_2465`
16×	`add-cube-cbrt_binary64_2500`
15×	`pow1_binary64_2526`
14×	`associate-l_binary64_2406` `associate-r_binary64_2405`
13×	`add-log-exp_binary64_2504`
12×	`log-prod_binary64_2551`
10×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414`
7×	`log-pow_binary64_2554`
6×	`cancel-sign-sub-inv_binary64_2431` `sqrt-prod_binary64_2481` `sum-log_binary64_2556`
3×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `unswap-sqr_binary64_2433` `*-commutative_binary64_2396`
2×	`sub-neg_binary64_2458` `associate-r/_binary64_2407` `pow1/2_binary64_2545` `sqrt-pow1_binary64_2483` `flip3-+_binary64_2468` `associate-l/_binary64_2408` `flip-+_binary64_2439`
1×	`flip3--_binary64_2469` `flip--_binary64_2440` `difference-of-squares_binary64_2434` `distribute-lft-out--_binary64_2417` `distribute-lft-out_binary64_2416` `associate-+r+_binary64_2397` `+-commutative_binary64_2395`

Counts

4 → 102

Calls

4 calls:

10.0ms	(+.f64 (*.f64 (log.f64 y) x) (+.f64 t (+.f64 z a)))
9.0ms	(*.f64 (log.f64 (sqrt.f64 c)) (-.f64 b 1/2))
8.0ms	(*.f64 (+.f64 -1/2 b) (log.f64 (sqrt.f64 c)))
4.0ms	(*.f64 (log.f64 y) x)

Compiler

Compiled 3809 to 1367 computations (64.1% saved)

series1.3s (4.3%)

Error

0.0b

Counts

4 → 51

Calls

4 calls:

610.0ms	(+.f64 (*.f64 (log.f64 y) x) (+.f64 t (+.f64 z a)))
213.0ms	(*.f64 (log.f64 (sqrt.f64 c)) (-.f64 b 1/2))
208.0ms	(*.f64 (+.f64 -1/2 b) (log.f64 (sqrt.f64 c)))
196.0ms	(*.f64 (log.f64 y) x)

Compiler

Compiled 4126 to 2710 computations (34.3% saved)

simplify87.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4858	2013
1	4858	2013

prune233.0ms (0.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	153	8	161

Error

0.0b

Counts

161 → 8

Compiler

Compiled 5271 to 1885 computations (64.2% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 x (log.f64 y))
0.3b	(+.f64 (.f64 (+.f64 -1/2 b) (.f64 2 (log.f64 (cbrt.f64 c)))) (*.f64 (+.f64 -1/2 b) (log.f64 (cbrt.f64 c))))
0.6b	(cbrt.f64 c)
0.6b	(cbrt.f64 c)

rewrite229.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

42×	`log-prod_binary64_2551`
33×	`distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414`
24×	`cbrt-prod_binary64_2496` `add-sqr-sqrt_binary64_2487` `associate-+l+_binary64_2398`
22×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
12×	`associate-+r+_binary64_2397`
8×	`associate-*l/_binary64_2408`
7×	`pow1_binary64_2526`
6×	`add-log-exp_binary64_2504` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
5×	`flip3-+_binary64_2468` `flip-+_binary64_2439`
4×	`frac-add_binary64_2473` `associate-r_binary64_2405`
3×	`associate-l_binary64_2406`
2×	`pow1/3_binary64_2547`
1×	`sum-log_binary64_2556` `distribute-lft-out_binary64_2416` `+-commutative_binary64_2395` `pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `unswap-sqr_binary64_2433` `log-pow_binary64_2554` `*-commutative_binary64_2396`

Counts

4 → 99

Calls

4 calls:

14.0ms	(+.f64 (.f64 (+.f64 -1/2 b) (.f64 2 (log.f64 (cbrt.f64 c)))) (*.f64 (+.f64 -1/2 b) (log.f64 (cbrt.f64 c))))
8.0ms	(*.f64 x (log.f64 y))
1.0ms	(cbrt.f64 c)
1.0ms	(cbrt.f64 c)

Compiler

Compiled 4176 to 1764 computations (57.8% saved)

series1.4s (4.6%)

Error

0.0b

Counts

4 → 21

Calls

4 calls:

908.0ms	(+.f64 (.f64 (+.f64 -1/2 b) (.f64 2 (log.f64 (cbrt.f64 c)))) (*.f64 (+.f64 -1/2 b) (log.f64 (cbrt.f64 c))))
192.0ms	(*.f64 x (log.f64 y))
125.0ms	(cbrt.f64 c)
122.0ms	(cbrt.f64 c)

Compiler

Compiled 1943 to 1471 computations (24.3% saved)

simplify65.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4963	1606
1	4963	1606

prune209.0ms (0.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	120	8	128

Error

0.0b

Counts

128 → 8

Compiler

Compiled 4363 to 1768 computations (59.5% saved)

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite134.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_2496`
23×	`add-sqr-sqrt_binary64_2487`
15×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
11×	`pow1_binary64_2526`
9×	`pow1/3_binary64_2547`
6×	`add-exp-log_binary64_2503` `swap-sqr_binary64_2432` `associate-l_binary64_2406` `associate-r_binary64_2405`
4×	`add-log-exp_binary64_2504` `add-cbrt-cube_binary64_2501` `unswap-sqr_binary64_2433`
2×	`pow-prod-down_binary64_2536` `pow-prod-up_binary64_2535` `pow-sqr_binary64_2438`
1×	`pow2_binary64_2546` `pow-plus_binary64_2528` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `*-commutative_binary64_2396`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 2619 to 900 computations (65.6% saved)

series512.0ms (1.7%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

134.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
123.0ms	(cbrt.f64 y)
120.0ms	(cbrt.f64 y)
116.0ms	(cbrt.f64 y)

Compiler

Compiled 1203 to 890 computations (26% saved)

simplify74.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune132.0ms (0.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	84	9	93

Error

0.0b

Counts

93 → 9

Compiler

Compiled 2848 to 1011 computations (64.5% saved)

regimes2.1s (7.2%)

Accuracy

Total 0.1b remaining (87%)

Threshold costs 0.1b (87%)

Compiler

Compiled 23809 to 20315 computations (14.7% saved)

bsearch0.0ms (0%)

simplify18.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	47
1	42	47

Remove

(sort z t a)

Compiler

Compiled 60 to 50 computations (16.7% saved)

end0.0ms (0%)

sample6.2s (20.8%)

Algorithm

1×

intervals

Results

1.9s	27193×	body	128	nan
663.0ms	7997×	body	128	valid
102.0ms	1257×	body	128	invalid
1.0ms	3×	body	1024	valid

Compiler

Compiled 1829 to 1558 computations (14.8% saved)

Details

analyze2.6s (8.6%)

sample10.7s (36.1%)

simplify57.0ms (0.2%)

prune4.0ms (0%)

localize24.0ms (0.1%)

rewrite202.0ms (0.7%)

series2.9s (9.6%)

simplify75.0ms (0.3%)

prune235.0ms (0.8%)

localize23.0ms (0.1%)

rewrite214.0ms (0.7%)

series1.3s (4.3%)

simplify87.0ms (0.3%)

prune233.0ms (0.8%)

localize22.0ms (0.1%)

rewrite229.0ms (0.8%)

series1.4s (4.6%)

simplify65.0ms (0.2%)

prune209.0ms (0.7%)

localize29.0ms (0.1%)

rewrite134.0ms (0.5%)

series512.0ms (1.7%)

simplify74.0ms (0.2%)

prune132.0ms (0.4%)

regimes2.1s (7.2%)

bsearch0.0ms (0%)

simplify18.0ms (0.1%)

end0.0ms (0%)

sample6.2s (20.8%)

Profiling