Details

analyze1.1s (21.1%)

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%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
12.5%	87.3%	0.2%	10
15.6%	80.3%	4.1%	11
31.2%	63.9%	4.9%	12
39%	50.9%	10.1%	13
44.8%	44.4%	10.7%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample37.0ms (0.7%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
2.0ms	35×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify177.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	158	10
1	158	10

prune4.0ms (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: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (.f64 x y) (.f64 z t))

rewrite9.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_2163`
1×	`flip--_binary64_2099` `flip3--_binary64_2128` `cancel-sign-sub-inv_binary64_2090` `pow1_binary64_2185` `diff-log_binary64_2216` `add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `sub-neg_binary64_2117` `add-exp-log_binary64_2162` `*-un-lft-identity_binary64_2124` `add-cbrt-cube_binary64_2160`

Counts

1 → 12

Calls

1 calls:

8.0ms

(-.f64 (*.f64 x y) (*.f64 z t))

series75.0ms (1.4%)

Counts

1 → 3

Calls

1 calls:

75.0ms

(-.f64 (*.f64 x y) (*.f64 z t))

simplify119.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (105.0ms)

Iter	Nodes	Cost
0	4946	220
1	4946	220

prune28.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	12	3	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	4	16

Merged error: 0.0b

Counts

16 → 4

Compiler

Compiled 233 to 70 computations (70% saved)

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x y) (*.f64 x y))
0.3b	(.f64 (.f64 z t) (*.f64 z t))
1.9b	(-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z t) (.f64 z t)))
23.1b	(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z t) (.f64 z t))) (+.f64 (.f64 x y) (.f64 z t)))

rewrite87.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

82×	`pow1_binary64_2185`
34×	`pow-prod-down_binary64_2195`
30×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
16×	`prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
13×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
12×	`times-frac_binary64_2130`
8×	`pow-prod-up_binary64_2194` `pow-sqr_binary64_2097`
6×	`add-log-exp_binary64_2163`
5×	`difference-of-squares_binary64_2093`
4×	`associate-/l*_binary64_2069` `pow-plus_binary64_2187`
3×	`associate-/r*_binary64_2068`
2×	`flip--_binary64_2099` `flip3--_binary64_2128` `associate-/r/_binary64_2070` `-commutative_binary64_2055` `swap-sqr_binary64_2091` `associate-l_binary64_2065` `pow2_binary64_2205` `associate-r*_binary64_2064` `associate-/l/_binary64_2071`
1×	`clear-num_binary64_2123` `cbrt-undiv_binary64_2158` `cancel-sign-sub-inv_binary64_2090` `diff-log_binary64_2216` `sub-neg_binary64_2117` `flip3-+_binary64_2127` `div-sub_binary64_2129` `flip-+_binary64_2098` `div-inv_binary64_2121` `div-exp_binary64_2175` `frac-2neg_binary64_2135`

Counts

4 → 117

Calls

4 calls:

24.0ms	(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z t) (.f64 z t))) (+.f64 (.f64 x y) (.f64 z t)))
16.0ms	(-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z t) (.f64 z t)))
13.0ms	(.f64 (.f64 z t) (*.f64 z t))
12.0ms	(.f64 (.f64 x y) (*.f64 x y))

series435.0ms (8.4%)

Counts

4 → 12

Calls

4 calls:

193.0ms	(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z t) (.f64 z t))) (+.f64 (.f64 x y) (.f64 z t)))
164.0ms	(-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z t) (.f64 z t)))
41.0ms	(.f64 (.f64 x y) (*.f64 x y))
37.0ms	(.f64 (.f64 z t) (*.f64 z t))

simplify121.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5030	2315

prune174.0ms (3.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	129	4	133

Merged error: 0.0b

Counts

133 → 4

Compiler

Compiled 3414 to 512 computations (85% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x y) (.f64 z t))
0.2b	(.f64 (sqrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (sqrt.f64 (-.f64 (.f64 x y) (*.f64 z t))))
1.0b	(sqrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
1.0b	(sqrt.f64 (-.f64 (.f64 x y) (.f64 z t)))

rewrite64.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64_2146`
24×	`sqrt-prod_binary64_2140`
21×	`pow1_binary64_2185`
16×	`sqrt-div_binary64_2141`
14×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
10×	`sqrt-pow1_binary64_2142` `pow1/2_binary64_2204`
9×	`flip--_binary64_2099` `flip3--_binary64_2128`
8×	`swap-sqr_binary64_2091`
6×	`add-log-exp_binary64_2163` `associate-l_binary64_2065` `associate-r_binary64_2064` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
5×	`pow-prod-up_binary64_2194`
4×	`unswap-sqr_binary64_2092` `rem-sqrt-square_binary64_2137` `frac-times_binary64_2134`
3×	`pow-prod-down_binary64_2195` `pow-sqr_binary64_2097`
2×	`associate-l/_binary64_2067` `associate-r/_binary64_2066`
1×	`sqrt-unprod_binary64_2144` `cancel-sign-sub-inv_binary64_2090` `*-commutative_binary64_2055` `diff-log_binary64_2216` `prod-exp_binary64_2173` `pow-plus_binary64_2187` `rem-square-sqrt_binary64_2136` `sub-neg_binary64_2117` `pow2_binary64_2205` `sqr-abs_binary64_2139` `cbrt-unprod_binary64_2157`

Counts

4 → 100

Calls

4 calls:

27.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (sqrt.f64 (-.f64 (.f64 x y) (*.f64 z t))))
7.0ms	(-.f64 (.f64 x y) (.f64 z t))
7.0ms	(sqrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
7.0ms	(sqrt.f64 (-.f64 (.f64 x y) (.f64 z t)))

series474.0ms (9.1%)

Counts

4 → 12

Calls

4 calls:

165.0ms	(sqrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
162.0ms	(sqrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
78.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (sqrt.f64 (-.f64 (.f64 x y) (*.f64 z t))))
69.0ms	(-.f64 (.f64 x y) (.f64 z t))

simplify150.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	4927	1980
1	4927	1980

prune133.0ms (2.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	112	4	116

Merged error: 0.0b

Counts

116 → 4

Compiler

Compiled 2326 to 356 computations (84.7% saved)

localize19.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x y) (.f64 z t))
0.3b	(pow.f64 (-.f64 (.f64 x y) (.f64 z t)) 3)
34.0b	(cbrt.f64 (pow.f64 (-.f64 (.f64 x y) (.f64 z t)) 3))

rewrite32.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_2155`
9×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
6×	`unpow-prod-down_binary64_2203` `cube-prod_binary64_2152`
5×	`add-log-exp_binary64_2163`
4×	`pow1_binary64_2185` `cube-div_binary64_2153` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
3×	`flip--_binary64_2099` `flip3--_binary64_2128` `pow-unpow_binary64_2201`
2×	`unpow3_binary64_2190` `cbrt-div_binary64_2156` `cube-mult_binary64_2154` `sqr-pow_binary64_2096`
1×	`cancel-sign-sub-inv_binary64_2090` `pow-pow_binary64_2196` `rem-cbrt-cube_binary64_2148` `pow-exp_binary64_2192` `diff-log_binary64_2216` `pow1/3_binary64_2206` `sub-neg_binary64_2117` `pow-to-exp_binary64_2193` `rem-cube-cbrt_binary64_2147`

Counts

3 → 60

Calls

3 calls:

9.0ms	(cbrt.f64 (pow.f64 (-.f64 (.f64 x y) (.f64 z t)) 3))
8.0ms	(pow.f64 (-.f64 (.f64 x y) (.f64 z t)) 3)
7.0ms	(-.f64 (.f64 x y) (.f64 z t))

series409.0ms (7.8%)

Counts

3 → 9

Calls

3 calls:

268.0ms	(pow.f64 (-.f64 (.f64 x y) (.f64 z t)) 3)
75.0ms	(cbrt.f64 (pow.f64 (-.f64 (.f64 x y) (.f64 z t)) 3))
66.0ms	(-.f64 (.f64 x y) (.f64 z t))

simplify118.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	5127	1205

prune84.0ms (1.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	69	4	73

Merged error: 0.0b

Counts

73 → 4

Compiler

Compiled 1079 to 298 computations (72.4% saved)

regimes195.0ms (3.7%)

Compiler: Compiled 657 to 514 computations (21.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	10
1	36	10

end0.0ms (0%)

sample1.1s (21.4%)

Algorithm

1×

intervals

Results

393.0ms	8000×	body	128	valid
61.0ms	1306×	body	128	invalid

Compiler

Compiled 104 to 83 computations (20.2% saved)

Details

analyze1.1s (21.1%)

sample37.0ms (0.7%)

simplify177.0ms (3.4%)

prune4.0ms (0.1%)

localize11.0ms (0.2%)

rewrite9.0ms (0.2%)

series75.0ms (1.4%)

simplify119.0ms (2.3%)

prune28.0ms (0.5%)

localize20.0ms (0.4%)

rewrite87.0ms (1.7%)

series435.0ms (8.4%)

simplify121.0ms (2.3%)

prune174.0ms (3.3%)

localize16.0ms (0.3%)

rewrite64.0ms (1.2%)

series474.0ms (9.1%)

simplify150.0ms (2.9%)

prune133.0ms (2.5%)

localize19.0ms (0.4%)

rewrite32.0ms (0.6%)

series409.0ms (7.8%)

simplify118.0ms (2.3%)

prune84.0ms (1.6%)

regimes195.0ms (3.7%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.1s (21.4%)

Profiling