Details

analyze251.0ms (3.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	49.9%	50.1%	5
0%	43.7%	56.3%	6
0%	34.3%	65.7%	7
3.1%	31.2%	65.7%	8
3.5%	27.7%	68.8%	9
5.3%	24.4%	70.4%	10
7.5%	19.8%	72.7%	11
11.1%	16.2%	72.7%	12
11.3%	15.3%	73.5%	13
13.2%	13%	73.9%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample25.0ms (0.4%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
1.0ms	12×	body	128	nan
0.0ms	3×	body	128	invalid

Compiler

Compiled 23 to 25 computations (-8.7% saved)

simplify348.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (253.0ms)

Iter	Nodes	Cost
0	4974	17
1	4974	17

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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z)
0.0b	(-.f64 (*.f64 x (log.f64 y)) y)
0.0b	(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
0.2b	(*.f64 x (log.f64 y))

rewrite45.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`associate--l+_binary64_2061`
30×	`*-un-lft-identity_binary64_2124`
27×	`log-prod_binary64_2210`
24×	`add-sqr-sqrt_binary64_2146`
20×	`add-cube-cbrt_binary64_2159`
17×	`add-log-exp_binary64_2163`
15×	`cancel-sign-sub-inv_binary64_2090`
14×	`associate-+l+_binary64_2057`
12×	`distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073`
9×	`pow1_binary64_2185`
7×	`diff-log_binary64_2216`
6×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
5×	`sub-neg_binary64_2117`
4×	`distribute-lft-out_binary64_2075` `associate-r_binary64_2064`
3×	`sum-log_binary64_2215` `distribute-lft-out--_binary64_2076` `log-pow_binary64_2213` `associate-+r+_binary64_2056` `associate-l_binary64_2065`
2×	`flip--_binary64_2099` `flip3--_binary64_2128`
1×	`difference-of-squares_binary64_2093` `pow-prod-down_binary64_2195` `unswap-sqr_binary64_2092` `associate-+l-_binary64_2059` `associate--l-_binary64_2062` `*-commutative_binary64_2055` `prod-exp_binary64_2173` `+-commutative_binary64_2054` `flip3-+_binary64_2127` `flip-+_binary64_2098` `cbrt-unprod_binary64_2157`

Counts

4 → 108

Calls

4 calls:

17.0ms	(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
9.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z)
5.0ms	(*.f64 x (log.f64 y))
5.0ms	(-.f64 (*.f64 x (log.f64 y)) y)

series981.0ms (13.9%)

Counts

4 → 54

Calls

4 calls:

460.0ms	(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
236.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z)
156.0ms	(-.f64 (*.f64 x (log.f64 y)) y)
128.0ms	(*.f64 x (log.f64 y))

Compiler

Compiled 935 to 900 computations (3.7% saved)

simplify64.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4986	2042
1	4986	2042

prune116.0ms (1.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	158	4	162
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	158	5	163

Merged error: 0b

Counts

163 → 5

Compiler

Compiled 2340 to 524 computations (77.6% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 x (.f64 2 (log.f64 (cbrt.f64 y))))
0.3b	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (cbrt.f64 y))))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite178.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`log-prod_binary64_2210`
54×	`distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073`
36×	`cbrt-prod_binary64_2155`
27×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
24×	`associate-+l+_binary64_2057`
12×	`associate-+r+_binary64_2056`
9×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
6×	`add-log-exp_binary64_2163`
3×	`pow-prod-down_binary64_2195` `associate-l_binary64_2065` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
2×	`pow1/3_binary64_2206`
1×	`sum-log_binary64_2215` `-commutative_binary64_2055` `distribute-lft-out_binary64_2075` `+-commutative_binary64_2054` `flip3-+_binary64_2127` `associate-r*_binary64_2064` `flip-+_binary64_2098`

Counts

4 → 112

Calls

4 calls:

12.0ms	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (cbrt.f64 y))))
7.0ms	(.f64 x (.f64 2 (log.f64 (cbrt.f64 y))))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series846.0ms (12%)

Counts

4 → 18

Calls

4 calls:

333.0ms	(.f64 x (.f64 2 (log.f64 (cbrt.f64 y))))
320.0ms	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (cbrt.f64 y))))
98.0ms	(cbrt.f64 y)
95.0ms	(cbrt.f64 y)

Compiler

Compiled 732 to 648 computations (11.5% saved)

simplify86.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5409	1735

prune130.0ms (1.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	130	5	135

Merged error: 0b

Counts

135 → 5

Compiler

Compiled 3134 to 1316 computations (58% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (.f64 x (log.f64 y))) (cbrt.f64 (*.f64 x (log.f64 y))))
0.6b	(cbrt.f64 (*.f64 x (log.f64 y)))
0.6b	(cbrt.f64 (*.f64 x (log.f64 y)))
0.6b	(cbrt.f64 (*.f64 x (log.f64 y)))

rewrite18.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64_2185`
10×	`add-sqr-sqrt_binary64_2146`
9×	`pow1/3_binary64_2206`
8×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
7×	`cbrt-prod_binary64_2155`
6×	`add-exp-log_binary64_2162`
4×	`swap-sqr_binary64_2091` `add-log-exp_binary64_2163` `associate-l_binary64_2065` `associate-r_binary64_2064` `add-cbrt-cube_binary64_2160`
2×	`pow-prod-down_binary64_2195` `pow-prod-up_binary64_2194` `pow-sqr_binary64_2097`
1×	`unswap-sqr_binary64_2092` `*-commutative_binary64_2055` `prod-exp_binary64_2173` `pow-plus_binary64_2187` `pow2_binary64_2205` `cbrt-unprod_binary64_2157`

Counts

4 → 58

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 x (log.f64 y))) (cbrt.f64 (*.f64 x (log.f64 y))))
3.0ms	(cbrt.f64 (*.f64 x (log.f64 y)))
2.0ms	(cbrt.f64 (*.f64 x (log.f64 y)))
2.0ms	(cbrt.f64 (*.f64 x (log.f64 y)))

series1.4s (19.5%)

Counts

4 → 24

Calls

4 calls:

417.0ms	(.f64 (cbrt.f64 (.f64 x (log.f64 y))) (cbrt.f64 (*.f64 x (log.f64 y))))
329.0ms	(cbrt.f64 (*.f64 x (log.f64 y)))
321.0ms	(cbrt.f64 (*.f64 x (log.f64 y)))
313.0ms	(cbrt.f64 (*.f64 x (log.f64 y)))

Compiler

Compiled 1312 to 928 computations (29.3% saved)

simplify82.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5300	772

prune75.0ms (1.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	82	5	87

Merged error: 0b

Counts

87 → 5

Compiler

Compiled 2070 to 517 computations (75% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (log.f64 (cbrt.f64 y)) (.f64 (*.f64 x x) (log.f64 y)))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
29.2b	(/.f64 (.f64 (log.f64 (cbrt.f64 y)) (.f64 (.f64 x x) (log.f64 y))) (.f64 (log.f64 (cbrt.f64 y)) x))

rewrite35.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
22×	`prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
14×	`pow1_binary64_2185`
12×	`log-prod_binary64_2210` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073`
11×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
8×	`cbrt-undiv_binary64_2158` `div-exp_binary64_2175`
6×	`pow-prod-down_binary64_2195` `cbrt-prod_binary64_2155`
5×	`associate-l_binary64_2065`
4×	`add-log-exp_binary64_2163`
3×	`pow1/3_binary64_2206`
2×	`log-pow_binary64_2213`
1×	`clear-num_binary64_2123` `associate-/l_binary64_2069` `-commutative_binary64_2055` `associate-/r_binary64_2068` `associate-r*_binary64_2064` `div-inv_binary64_2121` `times-frac_binary64_2130` `frac-2neg_binary64_2135`

Counts

4 → 86

Calls

4 calls:

13.0ms	(/.f64 (.f64 (log.f64 (cbrt.f64 y)) (.f64 (.f64 x x) (log.f64 y))) (.f64 (log.f64 (cbrt.f64 y)) x))
9.0ms	(.f64 (log.f64 (cbrt.f64 y)) (.f64 (*.f64 x x) (log.f64 y)))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series744.0ms (10.5%)

Counts

4 → 18

Calls

4 calls:

415.0ms	(.f64 (log.f64 (cbrt.f64 y)) (.f64 (*.f64 x x) (log.f64 y)))
144.0ms	(/.f64 (.f64 (log.f64 (cbrt.f64 y)) (.f64 (.f64 x x) (log.f64 y))) (.f64 (log.f64 (cbrt.f64 y)) x))
93.0ms	(cbrt.f64 y)
91.0ms	(cbrt.f64 y)

Compiler

Compiled 770 to 650 computations (15.6% saved)

simplify66.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4951	1467
1	4951	1467

prune94.0ms (1.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	104	5	109

Merged error: 0b

Counts

109 → 5

Compiler

Compiled 2496 to 692 computations (72.3% saved)

regimes332.0ms (4.7%)

Compiler: Compiled 2935 to 2163 computations (26.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	32
1	39	32

end0.0ms (0%)

sample1.1s (15.7%)

Algorithm

1×

intervals

Results

485.0ms	7998×	body	128	valid
18.0ms	403×	body	128	nan
2.0ms	27×	body	128	invalid
1.0ms	2×	body	1024	valid

Compiler

Compiled 375 to 278 computations (25.9% saved)

Details

analyze251.0ms (3.5%)

sample25.0ms (0.4%)

simplify348.0ms (4.9%)

prune3.0ms (0%)

localize10.0ms (0.1%)

rewrite45.0ms (0.6%)

series981.0ms (13.9%)

simplify64.0ms (0.9%)

prune116.0ms (1.6%)

localize15.0ms (0.2%)

rewrite178.0ms (2.5%)

series846.0ms (12%)

simplify86.0ms (1.2%)

prune130.0ms (1.8%)

localize17.0ms (0.2%)

rewrite18.0ms (0.3%)

series1.4s (19.5%)

simplify82.0ms (1.2%)

prune75.0ms (1.1%)

localize23.0ms (0.3%)

rewrite35.0ms (0.5%)

series744.0ms (10.5%)

simplify66.0ms (0.9%)

prune94.0ms (1.3%)

regimes332.0ms (4.7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.1s (15.7%)

Profiling