Details

analyze952.0ms (12.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4955	21
1	4955	21
0	1	1
1	1	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)

sample68.0ms (0.9%)

Algorithm

1×

intervals

Results

38.0ms	129×	body	2048	valid
12.0ms	58×	body	1024	valid
6.0ms	40×	body	512	valid
1.0ms	12×	body	256	valid
1.0ms	17×	body	128	valid

Compiler

Compiled 29 to 22 computations (24.1% saved)

simplify76.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4955	21
1	4955	21

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

0.4b

Counts

2 → 1

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 v v) 1)
0.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
0.2b	(.f64 5 (.f64 v v))
0.4b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite138.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

23×	`add-sqr-sqrt_binary64_2146`
22×	`*-un-lft-identity_binary64_2124`
18×	`times-frac_binary64_2130`
17×	`add-cube-cbrt_binary64_2159`
11×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
10×	`difference-of-squares_binary64_2093`
9×	`pow1_binary64_2185`
6×	`add-log-exp_binary64_2163` `associate-/r*_binary64_2068`
5×	`difference-of-sqr-1_binary64_2094`
3×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `associate-l_binary64_2065` `flip3--_binary64_2128` `flip--_binary64_2099` `associate-/l*_binary64_2069` `cancel-sign-sub-inv_binary64_2090`
2×	`associate-/l/_binary64_2071` `associate-/r/_binary64_2070`
1×	`acos-asin_binary64_2305` `unswap-sqr_binary64_2092` `associate-r_binary64_2064` `*-commutative_binary64_2055` `div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `frac-2neg_binary64_2135` `div-sub_binary64_2129` `clear-num_binary64_2123` `div-inv_binary64_2121` `diff-log_binary64_2216` `sub-neg_binary64_2117`

Counts

4 → 88

Calls

4 calls:

9.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
6.0ms	(.f64 5 (.f64 v v))
5.0ms	(-.f64 (*.f64 v v) 1)
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 2084 to 1310 computations (37.1% saved)

series136.0ms (1.8%)

Error

0.4b

Counts

4 → 18

Calls

4 calls:

38.0ms	(-.f64 (*.f64 v v) 1)
33.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
27.0ms	(.f64 5 (.f64 v v))
22.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 564 to 484 computations (14.2% saved)

simplify92.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4910	1961
1	4910	1961

prune116.0ms (1.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	103	3	106
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	3	107

Error

0.4b

Counts

107 → 3

Compiler

Compiled 2158 to 1377 computations (36.2% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 v v) 1)
0.0b	(/.f64 1 (/.f64 (-.f64 (.f64 v v) 1) (-.f64 1 (.f64 5 (*.f64 v v)))))
0.2b	(.f64 5 (.f64 v v))
0.4b	(acos.f64 (/.f64 1 (/.f64 (-.f64 (.f64 v v) 1) (-.f64 1 (.f64 5 (*.f64 v v))))))

rewrite321.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

144×	`times-frac_binary64_2130`
85×	`add-sqr-sqrt_binary64_2146`
84×	`*-un-lft-identity_binary64_2124`
71×	`add-cube-cbrt_binary64_2159`
26×	`difference-of-squares_binary64_2093`
24×	`associate-/r*_binary64_2068`
20×	`add-exp-log_binary64_2162`
14×	`add-cbrt-cube_binary64_2160`
13×	`difference-of-sqr-1_binary64_2094`
10×	`pow1_binary64_2185`
9×	`associate-/r/_binary64_2070`
7×	`div-exp_binary64_2175`
6×	`add-log-exp_binary64_2163`
5×	`div-inv_binary64_2121` `flip3--_binary64_2128` `flip--_binary64_2099`
3×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `associate-l_binary64_2065` `cbrt-undiv_binary64_2158` `associate-/l*_binary64_2069` `cancel-sign-sub-inv_binary64_2090`
2×	`1-exp_binary64_2168` `rec-exp_binary64_2174`
1×	`acos-asin_binary64_2305` `unswap-sqr_binary64_2092` `associate-r_binary64_2064` `*-commutative_binary64_2055` `inv-pow_binary64_2209` `pow-flip_binary64_2198` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `diff-log_binary64_2216` `sub-neg_binary64_2117`

Counts

4 → 164

Calls

4 calls:

14.0ms	(/.f64 1 (/.f64 (-.f64 (.f64 v v) 1) (-.f64 1 (.f64 5 (*.f64 v v)))))
6.0ms	(.f64 5 (.f64 v v))
5.0ms	(-.f64 (*.f64 v v) 1)
1.0ms	(acos.f64 (/.f64 1 (/.f64 (-.f64 (.f64 v v) 1) (-.f64 1 (.f64 5 (*.f64 v v))))))

Compiler

Compiled 4958 to 3418 computations (31.1% saved)

series134.0ms (1.8%)

Error

0.4b

Counts

4 → 18

Calls

4 calls:

37.0ms	(-.f64 (*.f64 v v) 1)
32.0ms	(/.f64 1 (/.f64 (-.f64 (.f64 v v) 1) (-.f64 1 (.f64 5 (*.f64 v v)))))
27.0ms	(.f64 5 (.f64 v v))
24.0ms	(acos.f64 (/.f64 1 (/.f64 (-.f64 (.f64 v v) 1) (-.f64 1 (.f64 5 (*.f64 v v))))))

Compiler

Compiled 612 to 532 computations (13.1% saved)

simplify90.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5439	4892

prune246.0ms (3.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	182	0	182
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	182	3	185

Error

0.4b

Counts

185 → 3

Compiler

Compiled 4571 to 3066 computations (32.9% saved)

localize10.0ms (0.1%)

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))
0.2b	(.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)))
3.0b	(log.f64 (exp.f64 (.f64 5 (.f64 v v))))

rewrite184.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

57×	`*-un-lft-identity_binary64_2124`
51×	`add-sqr-sqrt_binary64_2146`
42×	`times-frac_binary64_2130`
30×	`difference-of-squares_binary64_2093`
21×	`add-cube-cbrt_binary64_2159`
17×	`pow1_binary64_2185`
14×	`distribute-lft-out--_binary64_2076`
11×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
10×	`log-pow_binary64_2213`
8×	`difference-of-sqr-1_binary64_2094`
7×	`associate-/l*_binary64_2069`
6×	`associate-/r*_binary64_2068`
5×	`add-log-exp_binary64_2163`
3×	`log-prod_binary64_2210` `pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `associate-l_binary64_2065`
2×	`flip3--_binary64_2128` `associate-/l/_binary64_2071` `flip--_binary64_2099` `associate-/r/_binary64_2070`
1×	`exp-to-pow_binary64_2186` `exp-prod_binary64_2176` `rem-log-exp_binary64_2165` `acos-asin_binary64_2305` `unswap-sqr_binary64_2092` `associate-r_binary64_2064` `*-commutative_binary64_2055` `div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `frac-2neg_binary64_2135` `div-sub_binary64_2129` `clear-num_binary64_2123` `div-inv_binary64_2121`

Counts

4 → 113

Calls

4 calls:

13.0ms	(/.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)))

Compiler

Compiled 3057 to 2072 computations (32.2% saved)

series205.0ms (2.7%)

Error

0.4b

Counts

4 → 15

Calls

4 calls:

82.0ms	(log.f64 (exp.f64 (.f64 5 (.f64 v v))))
59.0ms	(/.f64 (-.f64 1 (log.f64 (exp.f64 (.f64 5 (.f64 v v))))) (-.f64 (*.f64 v v) 1))
27.0ms	(.f64 5 (.f64 v v))
24.0ms	(acos.f64 (/.f64 (-.f64 1 (log.f64 (exp.f64 (.f64 5 (.f64 v v))))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 642 to 560 computations (12.8% saved)

simplify76.0ms (1%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5271	2870

prune134.0ms (1.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	128	3	131

Error

0.4b

Counts

131 → 3

Compiler

Compiled 2818 to 1834 computations (34.9% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.0b	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0b	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0b	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0b	(.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))

rewrite214.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

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

Counts

4 → 73

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))
1.0ms	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0ms	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0ms	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))

Compiler

Compiled 4567 to 2895 computations (36.6% saved)

series788.0ms (10.5%)

Error

0.4b

Counts

4 → 12

Calls

4 calls:

236.0ms	(.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))
185.0ms	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
173.0ms	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
171.0ms	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))

Compiler

Compiled 1602 to 1202 computations (25% saved)

simplify82.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4867	2499
1	4867	2499

prune194.0ms (2.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	83	5	88

Error

0.4b

Counts

88 → 5

Compiler

Compiled 4243 to 2691 computations (36.6% saved)

regimes299.0ms (4%)

Accuracy

Total 0.0b remaining (7.3%)

Threshold costs 0.0b (7.3%)

Compiler

Compiled 5183 to 3551 computations (31.5% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	70	28
1	70	28

end0.0ms (0%)

sample2.9s (39.1%)

Algorithm

1×

intervals

Results

1.3s	3920×	body	2048	valid
409.0ms	2013×	body	1024	valid
152.0ms	1035×	body	512	valid
54.0ms	537×	body	256	valid
26.0ms	494×	body	128	valid
1.0ms	1×	body	4096	valid
0.0ms	6×	body	128	nan

Compiler

Compiled 949 to 658 computations (30.7% saved)

Details

analyze952.0ms (12.6%)

sample68.0ms (0.9%)

simplify76.0ms (1%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite138.0ms (1.8%)

series136.0ms (1.8%)

simplify92.0ms (1.2%)

prune116.0ms (1.5%)

localize9.0ms (0.1%)

rewrite321.0ms (4.3%)

series134.0ms (1.8%)

simplify90.0ms (1.2%)

prune246.0ms (3.3%)

localize10.0ms (0.1%)

rewrite184.0ms (2.4%)

series205.0ms (2.7%)

simplify76.0ms (1%)

prune134.0ms (1.8%)

localize14.0ms (0.2%)

rewrite214.0ms (2.8%)

series788.0ms (10.5%)

simplify82.0ms (1.1%)

prune194.0ms (2.6%)

regimes299.0ms (4%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample2.9s (39.1%)

Profiling