Details

analyze1.6s (10.4%)

Algorithm

1×

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%	90.4%	9.6%	9
0%	45.2%	54.8%	10
0%	45.2%	54.8%	11
0%	45.2%	54.8%	12
0%	45.2%	54.8%	13
0%	44.4%	55.6%	14

Compiler

Compiled 19 to 18 computations (5.3% saved)

sample218.0ms (1.4%)

Algorithm

1×

intervals

Results

59.0ms	354×	body	128	nan
39.0ms	229×	body	128	valid
33.0ms	174×	body	128	invalid
9.0ms	7×	body	1024	valid
9.0ms	14×	body	512	valid
3.0ms	5×	body	512	invalid
2.0ms	6×	body	256	valid
1.0ms	1×	body	1024	invalid
0.0ms	1×	body	256	invalid

Compiler

Compiled 37 to 41 computations (-10.8% saved)

simplify247.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4948	26
1	4948	26

prune8.0ms (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

Merged error: 2.4b

Counts

2 → 2

Compiler

Compiled 52 to 49 computations (5.8% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 y (-.f64 (log.f64 z) t))
0.2b	(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
1.3b	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
6.2b	(log.f64 (-.f64 1 z))

rewrite113.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`add-sqr-sqrt_binary64_1805`
33×	`*-un-lft-identity_binary64_1783`
30×	`log-prod_binary64_1869`
24×	`distribute-lft-in_binary64_1732` `distribute-rgt-in_binary64_1733` `associate--l+_binary64_1720`
21×	`add-cube-cbrt_binary64_1818`
20×	`associate-+r+_binary64_1715`
18×	`cancel-sign-sub-inv_binary64_1749`
14×	`associate-+l+_binary64_1716`
10×	`associate-r/_binary64_1725` `associate-r*_binary64_1723` `pow1_binary64_1844`
8×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821`
7×	`difference-of-squares_binary64_1752`
6×	`flip3--_binary64_1787` `associate-l_binary64_1724` `flip--_binary64_1758` `sub-neg_binary64_1776` `add-log-exp_binary64_1822`
5×	`distribute-lft-out--_binary64_1735`
4×	`frac-add_binary64_1791`
2×	`log-pow_binary64_1872` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `*-commutative_binary64_1714` `pow-prod-down_binary64_1854` `unswap-sqr_binary64_1751` `log-div_binary64_1870`
1×	`+-commutative_binary64_1713` `exp-sum_binary64_1829` `flip-+_binary64_1757` `sum-log_binary64_1874` `flip3-+_binary64_1786` `rem-log-exp_binary64_1824`

Counts

4 → 122

Calls

4 calls:

36.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
26.0ms	(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
17.0ms	(*.f64 y (-.f64 (log.f64 z) t))
8.0ms	(log.f64 (-.f64 1 z))

series830.0ms (5.3%)

Counts

4 → 12

Calls

4 calls:

439.0ms	(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
261.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
107.0ms	(*.f64 y (-.f64 (log.f64 z) t))
23.0ms	(log.f64 (-.f64 1 z))

simplify153.0ms (1%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4983	2933
1	4983	2933

prune309.0ms (2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	129	5	134
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	131	5	136

Merged error: 0.5b

Counts

136 → 5

Compiler

Compiled 3508 to 1726 computations (50.8% saved)

localize44.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 y (-.f64 (log.f64 z) t))
0.2b	(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (-.f64 (neg.f64 z) (.f64 (.f64 z z) (+.f64 (.f64 1/3 z) 1/2))) b)))))
0.4b	(*.f64 1/3 z)
1.3b	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (-.f64 (neg.f64 z) (.f64 (.f64 z z) (+.f64 (*.f64 1/3 z) 1/2))) b)))

rewrite112.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64_1805`
23×	`*-un-lft-identity_binary64_1783`
20×	`add-cube-cbrt_binary64_1818` `distribute-lft-in_binary64_1732` `cancel-sign-sub-inv_binary64_1749` `distribute-rgt-in_binary64_1733`
16×	`associate--l+_binary64_1720`
14×	`associate-+l+_binary64_1716`
13×	`associate-r_binary64_1723`
12×	`associate-+r+_binary64_1715` `log-prod_binary64_1869`
11×	`pow1_binary64_1844`
10×	`add-cbrt-cube_binary64_1819` `associate-*r/_binary64_1725`
9×	`add-exp-log_binary64_1821` `associate-l_binary64_1724`
8×	`sub-neg_binary64_1776`
6×	`add-log-exp_binary64_1822`
5×	`flip3--_binary64_1787` `flip--_binary64_1758`
4×	`frac-add_binary64_1791`
3×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `*-commutative_binary64_1714` `pow-prod-down_binary64_1854` `unswap-sqr_binary64_1751`
2×	`distribute-lft-out--_binary64_1735`
1×	`difference-of-squares_binary64_1752` `log-pow_binary64_1872` `+-commutative_binary64_1713` `exp-sum_binary64_1829` `flip-+_binary64_1757` `sum-log_binary64_1874` `flip3-+_binary64_1786`

Counts

4 → 115

Calls

4 calls:

31.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (-.f64 (neg.f64 z) (.f64 (.f64 z z) (+.f64 (*.f64 1/3 z) 1/2))) b)))
31.0ms	(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (-.f64 (neg.f64 z) (.f64 (.f64 z z) (+.f64 (.f64 1/3 z) 1/2))) b)))))
16.0ms	(*.f64 y (-.f64 (log.f64 z) t))
8.0ms	(*.f64 1/3 z)

series1.1s (6.8%)

Counts

4 → 12

Calls

4 calls:

555.0ms	(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (-.f64 (neg.f64 z) (.f64 (.f64 z z) (+.f64 (.f64 1/3 z) 1/2))) b)))))
401.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (-.f64 (neg.f64 z) (.f64 (.f64 z z) (+.f64 (*.f64 1/3 z) 1/2))) b)))
99.0ms	(*.f64 y (-.f64 (log.f64 z) t))
23.0ms	(*.f64 1/3 z)

simplify143.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	5118	3392

prune308.0ms (2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	126	6	132

Merged error: 0.5b

Counts

132 → 6

Compiler

Compiled 4390 to 2156 computations (50.9% saved)

localize42.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 x (/.f64 (pow.f64 z y) (exp.f64 (+.f64 (+.f64 (.f64 a b) (.f64 a (.f64 (.f64 z z) (+.f64 (.f64 z 1/3) 1/2)))) (+.f64 (.f64 y t) (.f64 z a))))))
0.4b	(*.f64 z 1/3)
1.0b	(+.f64 (+.f64 (.f64 a b) (.f64 a (.f64 (.f64 z z) (+.f64 (.f64 z 1/3) 1/2)))) (+.f64 (.f64 y t) (*.f64 z a)))
8.6b	(.f64 a (.f64 (.f64 z z) (+.f64 (.f64 z 1/3) 1/2)))

rewrite127.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`add-sqr-sqrt_binary64_1805` `associate-r_binary64_1723`
31×	`times-frac_binary64_1789`
26×	`*-un-lft-identity_binary64_1783`
24×	`add-cube-cbrt_binary64_1818`
22×	`add-exp-log_binary64_1821`
20×	`add-cbrt-cube_binary64_1819`
17×	`pow1_binary64_1844`
16×	`add-log-exp_binary64_1822`
13×	`unpow-prod-down_binary64_1862`
11×	`prod-exp_binary64_1832`
9×	`cbrt-unprod_binary64_1816` `associate-l_binary64_1724`
8×	`sum-log_binary64_1874` `pow-prod-down_binary64_1854`
7×	`exp-sum_binary64_1829`
6×	`flip-+_binary64_1757` `flip3-+_binary64_1786`
5×	`associate-*r/_binary64_1725` `sqr-pow_binary64_1755` `unswap-sqr_binary64_1751`
4×	`distribute-lft-in_binary64_1732` `frac-add_binary64_1791` `distribute-rgt-in_binary64_1733`
3×	`*-commutative_binary64_1714` `div-exp_binary64_1834`
1×	`associate-+r+_binary64_1715` `+-commutative_binary64_1713` `distribute-lft-out_binary64_1734` `div-inv_binary64_1780` `associate-+l+_binary64_1716` `cbrt-undiv_binary64_1817` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851`

Counts

4 → 121

Calls

4 calls:

45.0ms	(.f64 x (/.f64 (pow.f64 z y) (exp.f64 (+.f64 (+.f64 (.f64 a b) (.f64 a (.f64 (.f64 z z) (+.f64 (.f64 z 1/3) 1/2)))) (+.f64 (.f64 y t) (.f64 z a))))))
23.0ms	(+.f64 (+.f64 (.f64 a b) (.f64 a (.f64 (.f64 z z) (+.f64 (.f64 z 1/3) 1/2)))) (+.f64 (.f64 y t) (*.f64 z a)))
20.0ms	(.f64 a (.f64 (.f64 z z) (+.f64 (.f64 z 1/3) 1/2)))
7.0ms	(*.f64 z 1/3)

series1.3s (8.5%)

Counts

4 → 12

Calls

4 calls:

829.0ms	(.f64 x (/.f64 (pow.f64 z y) (exp.f64 (+.f64 (+.f64 (.f64 a b) (.f64 a (.f64 (.f64 z z) (+.f64 (.f64 z 1/3) 1/2)))) (+.f64 (.f64 y t) (.f64 z a))))))
359.0ms	(+.f64 (+.f64 (.f64 a b) (.f64 a (.f64 (.f64 z z) (+.f64 (.f64 z 1/3) 1/2)))) (+.f64 (.f64 y t) (*.f64 z a)))
119.0ms	(.f64 a (.f64 (.f64 z z) (+.f64 (.f64 z 1/3) 1/2)))
26.0ms	(*.f64 z 1/3)

simplify178.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4991	4657
1	4991	4657

prune336.0ms (2.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	133	6	139

Merged error: 0.5b

Counts

139 → 6

Compiler

Compiled 5705 to 2379 computations (58.3% saved)

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.3b	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
1.3b	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
6.2b	(log.f64 (-.f64 1 z))
6.2b	(log.f64 (-.f64 1 z))

rewrite119.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`log-prod_binary64_1869`
40×	`associate-+r+_binary64_1715` `add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
36×	`associate--l+_binary64_1720`
34×	`distribute-lft-in_binary64_1732` `distribute-rgt-in_binary64_1733`
28×	`associate-+l+_binary64_1716`
24×	`cancel-sign-sub-inv_binary64_1749`
22×	`add-cube-cbrt_binary64_1818`
16×	`associate-*r/_binary64_1725`
12×	`difference-of-squares_binary64_1752`
10×	`flip3--_binary64_1787` `flip--_binary64_1758`
8×	`frac-add_binary64_1791` `sub-neg_binary64_1776` `add-log-exp_binary64_1822`
6×	`add-exp-log_binary64_1821` `distribute-lft-out--_binary64_1735` `pow1_binary64_1844`
4×	`add-cbrt-cube_binary64_1819` `log-div_binary64_1870`
2×	`log-pow_binary64_1872` `+-commutative_binary64_1713` `flip-+_binary64_1757` `sum-log_binary64_1874` `flip3-+_binary64_1786` `rem-log-exp_binary64_1824`

Counts

4 → 132

Calls

4 calls:

34.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
30.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
7.0ms	(log.f64 (-.f64 1 z))
7.0ms	(log.f64 (-.f64 1 z))

series517.0ms (3.3%)

Counts

4 → 12

Calls

4 calls:

244.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
231.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
21.0ms	(log.f64 (-.f64 1 z))
20.0ms	(log.f64 (-.f64 1 z))

simplify106.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4995	3566
1	4995	3566

prune495.0ms (3.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	144	6	150

Merged error: 0.5b

Counts

150 → 6

Compiler

Compiled 6912 to 3466 computations (49.9% saved)

regimes621.0ms (3.9%)

Compiler: Compiled 3286 to 2995 computations (8.9% saved)

bsearch0.0ms (0%)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	140	38
1	140	38

end0.0ms (0%)

sample6.6s (41.9%)

Algorithm

1×

intervals

Results

1.7s	10873×	body	128	nan
1.2s	7327×	body	128	valid
872.0ms	5434×	body	128	invalid
182.0ms	300×	body	512	valid
148.0ms	139×	body	1024	valid
83.0ms	234×	body	256	valid
70.0ms	121×	body	512	invalid
47.0ms	46×	body	1024	invalid
44.0ms	129×	body	256	invalid

Compiler

Compiled 361 to 326 computations (9.7% saved)

Details

analyze1.6s (10.4%)

sample218.0ms (1.4%)

simplify247.0ms (1.6%)

prune8.0ms (0.1%)

localize31.0ms (0.2%)

rewrite113.0ms (0.7%)

series830.0ms (5.3%)

simplify153.0ms (1%)

prune309.0ms (2%)

localize44.0ms (0.3%)

rewrite112.0ms (0.7%)

series1.1s (6.8%)

simplify143.0ms (0.9%)

prune308.0ms (2%)

localize42.0ms (0.3%)

rewrite127.0ms (0.8%)

series1.3s (8.5%)

simplify178.0ms (1.1%)

prune336.0ms (2.1%)

localize38.0ms (0.2%)

rewrite119.0ms (0.8%)

series517.0ms (3.3%)

simplify106.0ms (0.7%)

prune495.0ms (3.1%)

regimes621.0ms (3.9%)

bsearch0.0ms (0%)

simplify7.0ms (0%)

end0.0ms (0%)

sample6.6s (41.9%)

Profiling