Details

analyze1.8s (17.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4968	400
1	4968	400
0	6	6
1	6	6

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.6%	98.1%	0.3%	13
2.3%	97.4%	0.3%	14

Compiler

Compiled 18 to 18 computations (0% saved)

sample64.0ms (0.6%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
4.0ms	86×	body	128	invalid

Compiler

Compiled 35 to 41 computations (-17.1% saved)

simplify51.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	788	25
1	788	25

prune3.0ms (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

3.4b

Counts

2 → 1

Compiler

Compiled 34 to 34 computations (0% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t))
0.2b	(.f64 (.f64 y 9) z)
0.2b	(.f64 (.f64 a 27) b)
8.2b	(.f64 (.f64 (*.f64 y 9) z) t)

rewrite133.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

23×	`pow1_binary64_19576` `add-exp-log_binary64_19553` `add-cbrt-cube_binary64_19551`
12×	`pow-prod-down_binary64_19586` `prod-exp_binary64_19564` `cbrt-unprod_binary64_19548`
9×	`associate-r_binary64_19455`
7×	`add-cube-cbrt_binary64_19550` `add-sqr-sqrt_binary64_19537` `*-un-lft-identity_binary64_19515`
6×	`add-log-exp_binary64_19554`
3×	`associate-l_binary64_19456` `*-commutative_binary64_19446`
1×	`diff-log_binary64_19607` `flip3--_binary64_19519` `sub-neg_binary64_19508` `flip--_binary64_19490` `cancel-sign-sub-inv_binary64_19481`

Counts

4 → 69

Calls

4 calls:

10.0ms	(.f64 (.f64 a 27) b)
8.0ms	(.f64 (.f64 (*.f64 y 9) z) t)
6.0ms	(.f64 (.f64 y 9) z)
4.0ms	(-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t))

Compiler

Compiled 1640 to 1084 computations (33.9% saved)

series532.0ms (5.2%)

Error

2.2b

Counts

4 → 45

Calls

4 calls:

256.0ms	(-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t))
126.0ms	(.f64 (.f64 (*.f64 y 9) z) t)
56.0ms	(.f64 (.f64 a 27) b)
53.0ms	(.f64 (.f64 y 9) z)

Compiler

Compiled 1955 to 1670 computations (14.6% saved)

simplify69.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5053	1304

prune130.0ms (1.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	106	8	114
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	107	8	115

Error

0.0b

Counts

115 → 8

Compiler

Compiled 2311 to 1365 computations (40.9% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x 2) (.f64 9 (.f64 t (.f64 z y))))
0.2b	(.f64 9 (.f64 t (*.f64 z y)))
0.2b	(.f64 (.f64 a 27) b)
8.2b	(.f64 t (.f64 z y))

rewrite108.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`pow1_binary64_19576` `add-exp-log_binary64_19553` `add-cbrt-cube_binary64_19551`
12×	`pow-prod-down_binary64_19586` `prod-exp_binary64_19564` `cbrt-unprod_binary64_19548`
7×	`add-cube-cbrt_binary64_19550` `add-sqr-sqrt_binary64_19537` `-un-lft-identity_binary64_19515` `associate-l*_binary64_19456`
6×	`add-log-exp_binary64_19554`
5×	`associate-r_binary64_19455`
3×	`*-commutative_binary64_19446`
1×	`diff-log_binary64_19607` `flip3--_binary64_19519` `sub-neg_binary64_19508` `flip--_binary64_19490` `cancel-sign-sub-inv_binary64_19481`

Counts

4 → 69

Calls

4 calls:

7.0ms	(.f64 9 (.f64 t (*.f64 z y)))
5.0ms	(.f64 t (.f64 z y))
5.0ms	(.f64 (.f64 a 27) b)
4.0ms	(-.f64 (.f64 x 2) (.f64 9 (.f64 t (.f64 z y))))

Compiler

Compiled 1640 to 903 computations (44.9% saved)

series560.0ms (5.5%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

254.0ms	(-.f64 (.f64 x 2) (.f64 9 (.f64 t (.f64 z y))))
121.0ms	(.f64 9 (.f64 t (*.f64 z y)))
96.0ms	(.f64 t (.f64 z y))
52.0ms	(.f64 (.f64 a 27) b)

Compiler

Compiled 2108 to 1781 computations (15.5% saved)

simplify87.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4926	1316
1	4926	1316

prune119.0ms (1.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	114	3	117
Fresh	4	3	7
Picked	1	0	1
Done	0	0	0
Total	119	6	125

Error

0.0b

Counts

125 → 6

Compiler

Compiled 2322 to 1259 computations (45.8% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x 2) (.f64 9 (.f64 (.f64 t z) y)))
0.2b	(.f64 9 (.f64 (*.f64 t z) y))
0.2b	(.f64 (.f64 a 27) b)
7.5b	(.f64 (.f64 t z) y)

rewrite113.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`pow1_binary64_19576` `add-exp-log_binary64_19553` `add-cbrt-cube_binary64_19551`
12×	`pow-prod-down_binary64_19586` `prod-exp_binary64_19564` `cbrt-unprod_binary64_19548`
7×	`add-cube-cbrt_binary64_19550` `add-sqr-sqrt_binary64_19537` `-un-lft-identity_binary64_19515` `associate-r*_binary64_19455`
6×	`add-log-exp_binary64_19554`
5×	`associate-l_binary64_19456`
3×	`*-commutative_binary64_19446`
1×	`diff-log_binary64_19607` `flip3--_binary64_19519` `sub-neg_binary64_19508` `flip--_binary64_19490` `cancel-sign-sub-inv_binary64_19481`

Counts

4 → 69

Calls

4 calls:

7.0ms	(.f64 (.f64 t z) y)
7.0ms	(.f64 9 (.f64 (*.f64 t z) y))
5.0ms	(.f64 (.f64 a 27) b)
4.0ms	(-.f64 (.f64 x 2) (.f64 9 (.f64 (.f64 t z) y)))

Compiler

Compiled 1640 to 904 computations (44.9% saved)

series570.0ms (5.6%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

260.0ms	(-.f64 (.f64 x 2) (.f64 9 (.f64 (.f64 t z) y)))
118.0ms	(.f64 9 (.f64 (*.f64 t z) y))
104.0ms	(.f64 (.f64 t z) y)
51.0ms	(.f64 (.f64 a 27) b)

Compiler

Compiled 2108 to 1783 computations (15.4% saved)

simplify68.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4931	1321
1	4931	1321

prune113.0ms (1.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	117	6	123

Error

0.0b

Counts

123 → 6

Compiler

Compiled 2320 to 1256 computations (45.9% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x 2) (.f64 (.f64 9 (.f64 t z)) y))
0.2b	(.f64 (.f64 a 27) b)
0.3b	(.f64 9 (.f64 t z))
7.5b	(.f64 (.f64 9 (*.f64 t z)) y)

rewrite112.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`pow1_binary64_19576` `add-exp-log_binary64_19553` `add-cbrt-cube_binary64_19551`
12×	`pow-prod-down_binary64_19586` `prod-exp_binary64_19564` `cbrt-unprod_binary64_19548`
7×	`add-cube-cbrt_binary64_19550` `add-sqr-sqrt_binary64_19537` `-un-lft-identity_binary64_19515` `associate-r*_binary64_19455`
6×	`add-log-exp_binary64_19554`
5×	`associate-l_binary64_19456`
3×	`*-commutative_binary64_19446`
1×	`diff-log_binary64_19607` `flip3--_binary64_19519` `sub-neg_binary64_19508` `flip--_binary64_19490` `cancel-sign-sub-inv_binary64_19481`

Counts

4 → 69

Calls

4 calls:

7.0ms	(.f64 (.f64 9 (*.f64 t z)) y)
5.0ms	(.f64 9 (.f64 t z))
5.0ms	(.f64 (.f64 a 27) b)
5.0ms	(-.f64 (.f64 x 2) (.f64 (.f64 9 (.f64 t z)) y))

Compiler

Compiled 1640 to 1002 computations (38.9% saved)

series525.0ms (5.2%)

Error

0.0b

Counts

4 → 45

Calls

4 calls:

260.0ms	(-.f64 (.f64 x 2) (.f64 (.f64 9 (.f64 t z)) y))
121.0ms	(.f64 (.f64 9 (*.f64 t z)) y)
61.0ms	(.f64 (.f64 a 27) b)
52.0ms	(.f64 9 (.f64 t z))

Compiler

Compiled 1955 to 1665 computations (14.8% saved)

simplify71.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5117	1303

prune109.0ms (1.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	113	7	120

Error

0.0b

Counts

120 → 7

Compiler

Compiled 2165 to 1190 computations (45% saved)

regimes1.7s (16.7%)

Accuracy

Total 0.7b remaining (98.7%)

Threshold costs 0.7b (98.7%)

Compiler

Compiled 16133 to 14561 computations (9.7% saved)

bsearch57.0ms (0.6%)

Steps

Iters	Range		Point
10	-3.282356702923416e-30	-1.5219951011607072e-46	-3.51104173081835e-41

Compiler

Compiled 1 to 6 computations (-500% saved)

simplify60.0ms (0.6%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	128	56
1	128	56

Compiler

Compiled 152 to 124 computations (18.4% saved)

end0.0ms (0%)

sample3.0s (29.5%)

Algorithm

1×

intervals

Results

428.0ms	8000×	body	128	valid
159.0ms	2882×	body	128	invalid

Compiler

Compiled 1144 to 1021 computations (10.8% saved)

Details

analyze1.8s (17.5%)

sample64.0ms (0.6%)

simplify51.0ms (0.5%)

prune3.0ms (0%)

localize13.0ms (0.1%)

rewrite133.0ms (1.3%)

series532.0ms (5.2%)

simplify69.0ms (0.7%)

prune130.0ms (1.3%)

localize12.0ms (0.1%)

rewrite108.0ms (1.1%)

series560.0ms (5.5%)

simplify87.0ms (0.8%)

prune119.0ms (1.2%)

localize12.0ms (0.1%)

rewrite113.0ms (1.1%)

series570.0ms (5.6%)

simplify68.0ms (0.7%)

prune113.0ms (1.1%)

localize12.0ms (0.1%)

rewrite112.0ms (1.1%)

series525.0ms (5.2%)

simplify71.0ms (0.7%)

prune109.0ms (1.1%)

regimes1.7s (16.7%)

bsearch57.0ms (0.6%)

simplify60.0ms (0.6%)

end0.0ms (0%)

sample3.0s (29.5%)

Profiling