Details

analyze830.0ms (15.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
0%	100%	0%	4
0%	100%	0%	5
0%	100%	0%	6
0%	100%	0%	7
0%	100%	0%	8
0%	100%	0%	9
0%	100%	0%	10
0%	100%	0%	11
0%	100%	0%	12
3%	46.9%	50%	13
3.1%	46.8%	50%	14

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample73.0ms (1.3%)

Algorithm

1×

intervals

Results

46.0ms	141×	body	2048	valid
15.0ms	69×	body	1024	valid
3.0ms	21×	body	512	valid
1.0ms	10×	body	256	valid
1.0ms	15×	body	128	valid
0.0ms	1×	body	128	nan

Compiler

Compiled 29 to 22 computations (24.1% saved)

simplify231.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4883	21
1	4883	21

prune2.0ms (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: 0.4b

Counts

2 → 1

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
0.1b	(.f64 5 (.f64 v v))
0.4b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite23.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_2120`
19×	`*-un-lft-identity_binary64_2099`
18×	`times-frac_binary64_2105`
15×	`add-cube-cbrt_binary64_2131`
10×	`add-cbrt-cube_binary64_2132` `add-exp-log_binary64_2134`
8×	`difference-of-squares_binary64_2068` `pow1_binary64_2157`
6×	`associate-/r*_binary64_2045`
4×	`difference-of-sqr-1_binary64_2069`
3×	`associate-l_binary64_2042` `prod-exp_binary64_2145` `add-log-exp_binary64_2135` `pow-prod-down_binary64_2167` `associate-/l*_binary64_2046` `cbrt-unprod_binary64_2129`
2×	`associate-/l/_binary64_2048` `associate-/r/_binary64_2047` `flip3--_binary64_2103` `flip--_binary64_2074`
1×	`cbrt-undiv_binary64_2130` `-commutative_binary64_2032` `div-exp_binary64_2147` `frac-2neg_binary64_2110` `div-sub_binary64_2104` `acos-asin_binary64_2277` `unswap-sqr_binary64_2067` `associate-r*_binary64_2041` `clear-num_binary64_2098` `div-inv_binary64_2096`

Counts

3 → 71

Calls

3 calls:

9.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
6.0ms	(.f64 5 (.f64 v v))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

series130.0ms (2.4%)

Counts

3 → 9

Calls

3 calls:

62.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
43.0ms	(.f64 5 (.f64 v v))
25.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

simplify77.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4940	1788
1	4940	1788

prune93.0ms (1.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	76	4	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	4	81

Merged error: 0.4b

Counts

81 → 4

Compiler

Compiled 1801 to 1160 computations (35.6% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (exp.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
0.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
0.1b	(.f64 5 (.f64 v v))
0.4b	(acos.f64 (log.f64 (exp.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))

rewrite41.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`times-frac_binary64_2105`
35×	`add-sqr-sqrt_binary64_2120`
34×	`*-un-lft-identity_binary64_2099`
27×	`add-cube-cbrt_binary64_2131`
25×	`log-pow_binary64_2185`
24×	`exp-prod_binary64_2148`
14×	`difference-of-squares_binary64_2068`
11×	`add-cbrt-cube_binary64_2132` `add-exp-log_binary64_2134`
10×	`pow1_binary64_2157`
7×	`difference-of-sqr-1_binary64_2069`
6×	`associate-/r*_binary64_2045`
4×	`associate-/r/_binary64_2047` `add-log-exp_binary64_2135`
3×	`associate-l_binary64_2042` `log-prod_binary64_2182` `prod-exp_binary64_2145` `pow-prod-down_binary64_2167` `flip3--_binary64_2103` `flip--_binary64_2074` `associate-/l*_binary64_2046` `cbrt-unprod_binary64_2129`
2×	`associate-/l/_binary64_2048` `div-sub_binary64_2104` `div-inv_binary64_2096`
1×	`cbrt-undiv_binary64_2130` `log-div_binary64_2183` `-commutative_binary64_2032` `div-exp_binary64_2147` `frac-2neg_binary64_2110` `acos-asin_binary64_2277` `rem-log-exp_binary64_2137` `unswap-sqr_binary64_2067` `associate-r*_binary64_2041` `clear-num_binary64_2098` `exp-diff_binary64_2144`

Counts

4 → 108

Calls

4 calls:

12.0ms	(log.f64 (exp.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
10.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
6.0ms	(.f64 5 (.f64 v v))
2.0ms	(acos.f64 (log.f64 (exp.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))

series222.0ms (4.1%)

Counts

4 → 12

Calls

4 calls:

102.0ms	(log.f64 (exp.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
62.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
33.0ms	(.f64 5 (.f64 v v))
25.0ms	(acos.f64 (log.f64 (exp.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))

simplify68.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4992	2681
1	4992	2681

prune150.0ms (2.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	120	4	124

Merged error: 0.4b

Counts

124 → 4

Compiler

Compiled 2949 to 1950 computations (33.9% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 1 (log.f64 (exp.f64 (.f64 5 (.f64 v v))))) (-.f64 (*.f64 v v) 1))
0.1b	(.f64 5 (.f64 v v))
0.4b	(acos.f64 (/.f64 (-.f64 1 (log.f64 (exp.f64 (.f64 5 (.f64 v v))))) (-.f64 (*.f64 v v) 1)))
2.7b	(log.f64 (exp.f64 (.f64 5 (.f64 v v))))

rewrite33.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

57×	`*-un-lft-identity_binary64_2099`
51×	`add-sqr-sqrt_binary64_2120`
42×	`times-frac_binary64_2105`
30×	`difference-of-squares_binary64_2068`
21×	`add-cube-cbrt_binary64_2131`
17×	`pow1_binary64_2157`
14×	`distribute-lft-out--_binary64_2053`
11×	`add-cbrt-cube_binary64_2132` `add-exp-log_binary64_2134`
10×	`log-pow_binary64_2185`
8×	`difference-of-sqr-1_binary64_2069`
7×	`associate-/l*_binary64_2046`
6×	`associate-/r*_binary64_2045`
5×	`add-log-exp_binary64_2135`
3×	`associate-l_binary64_2042` `log-prod_binary64_2182` `prod-exp_binary64_2145` `pow-prod-down_binary64_2167` `cbrt-unprod_binary64_2129`
2×	`associate-/l/_binary64_2048` `associate-/r/_binary64_2047` `flip3--_binary64_2103` `flip--_binary64_2074`
1×	`cbrt-undiv_binary64_2130` `-commutative_binary64_2032` `div-exp_binary64_2147` `exp-to-pow_binary64_2158` `frac-2neg_binary64_2110` `div-sub_binary64_2104` `acos-asin_binary64_2277` `rem-log-exp_binary64_2137` `exp-prod_binary64_2148` `unswap-sqr_binary64_2067` `associate-r*_binary64_2041` `clear-num_binary64_2098` `div-inv_binary64_2096`

Counts

4 → 113

Calls

4 calls:

12.0ms	(/.f64 (-.f64 1 (log.f64 (exp.f64 (.f64 5 (.f64 v v))))) (-.f64 (*.f64 v v) 1))
6.0ms	(.f64 5 (.f64 v v))
2.0ms	(log.f64 (exp.f64 (.f64 5 (.f64 v v))))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (log.f64 (exp.f64 (.f64 5 (.f64 v v))))) (-.f64 (*.f64 v v) 1)))

series304.0ms (5.6%)

Counts

4 → 12

Calls

4 calls:

152.0ms	(log.f64 (exp.f64 (.f64 5 (.f64 v v))))
97.0ms	(/.f64 (-.f64 1 (log.f64 (exp.f64 (.f64 5 (.f64 v v))))) (-.f64 (*.f64 v v) 1))
32.0ms	(.f64 5 (.f64 v v))
23.0ms	(acos.f64 (/.f64 (-.f64 1 (log.f64 (exp.f64 (.f64 5 (.f64 v v))))) (-.f64 (*.f64 v v) 1)))

simplify77.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5145	2911

prune143.0ms (2.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	125	4	129

Merged error: 0.4b

Counts

129 → 4

Compiler

Compiled 2858 to 1866 computations (34.7% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)) 3))
0.0b	(pow.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)) 3)
0.1b	(.f64 5 (.f64 v v))
0.4b	(acos.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)) 3)))

rewrite53.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

72×	`times-frac_binary64_2105`
60×	`add-sqr-sqrt_binary64_2120`
59×	`*-un-lft-identity_binary64_2099`
54×	`cbrt-prod_binary64_2127`
48×	`unpow-prod-down_binary64_2175` `cube-prod_binary64_2124`
47×	`add-cube-cbrt_binary64_2131`
24×	`difference-of-squares_binary64_2068`
12×	`add-cbrt-cube_binary64_2132` `difference-of-sqr-1_binary64_2069` `add-exp-log_binary64_2134`
10×	`pow1_binary64_2157`
8×	`associate-/r/_binary64_2047`
4×	`add-log-exp_binary64_2135` `flip3--_binary64_2103` `flip--_binary64_2074` `div-inv_binary64_2096`
3×	`associate-l_binary64_2042` `prod-exp_binary64_2145` `pow-unpow_binary64_2173` `pow-prod-down_binary64_2167` `cbrt-unprod_binary64_2129`
2×	`sqr-pow_binary64_2071` `pow-exp_binary64_2164` `rem-cube-cbrt_binary64_2121` `cube-div_binary64_2125` `unpow3_binary64_2162` `cube-mult_binary64_2126`
1×	`cbrt-undiv_binary64_2130` `cbrt-div_binary64_2128` `pow1/3_binary64_2178` `-commutative_binary64_2032` `pow-pow_binary64_2168` `div-exp_binary64_2147` `pow-to-exp_binary64_2165` `acos-asin_binary64_2277` `unswap-sqr_binary64_2067` `associate-r*_binary64_2041` `rem-cbrt-cube_binary64_2122`

Counts

4 → 159

Calls

4 calls:

15.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)) 3))
12.0ms	(pow.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)) 3)
7.0ms	(.f64 5 (.f64 v v))
1.0ms	(acos.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)) 3)))

series202.0ms (3.7%)

Counts

4 → 12

Calls

4 calls:

76.0ms	(pow.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)) 3)
68.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)) 3))
33.0ms	(.f64 5 (.f64 v v))
24.0ms	(acos.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)) 3)))

simplify95.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5156	4938

prune232.0ms (4.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	171	0	171
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	171	4	175

Merged error: 0.4b

Counts

175 → 4

Compiler

Compiled 4227 to 2862 computations (32.3% saved)

regimes44.0ms (0.8%)

Compiler: Compiled 446 to 316 computations (29.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	67	25
1	67	25

end0.0ms (0%)

sample2.2s (41.5%)

Algorithm

1×

intervals

Results

1.3s	3992×	body	2048	valid
433.0ms	1964×	body	1024	valid
161.0ms	1028×	body	512	valid
54.0ms	520×	body	256	valid
30.0ms	496×	body	128	valid
0.0ms	4×	body	128	nan

Compiler

Compiled 127 to 92 computations (27.6% saved)

Details

analyze830.0ms (15.3%)

sample73.0ms (1.3%)

simplify231.0ms (4.3%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite23.0ms (0.4%)

series130.0ms (2.4%)

simplify77.0ms (1.4%)

prune93.0ms (1.7%)

localize13.0ms (0.2%)

rewrite41.0ms (0.8%)

series222.0ms (4.1%)

simplify68.0ms (1.3%)

prune150.0ms (2.8%)

localize10.0ms (0.2%)

rewrite33.0ms (0.6%)

series304.0ms (5.6%)

simplify77.0ms (1.4%)

prune143.0ms (2.6%)

localize10.0ms (0.2%)

rewrite53.0ms (1%)

series202.0ms (3.7%)

simplify95.0ms (1.8%)

prune232.0ms (4.3%)

regimes44.0ms (0.8%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.2s (41.5%)

Profiling