Details

analyze108.0ms (2.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	9
1	168	9
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
62.5%	25%	12.5%	4
68.7%	12.5%	18.8%	5
71.8%	6.2%	21.9%	6
73.4%	3.1%	23.5%	7
74.2%	1.6%	24.3%	8
74.6%	0.8%	24.6%	9
75%	0.4%	24.6%	10
75.1%	0.2%	24.7%	11
75.1%	0.1%	24.8%	12
75.1%	0%	24.8%	13
75.2%	0%	24.8%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample28.0ms (0.7%)

Algorithm

1×

intervals

Results

11.0ms	70×	body	1024	valid
4.0ms	47×	body	512	valid
2.0ms	105×	body	128	valid
1.0ms	10×	body	2048	valid
1.0ms	24×	body	256	valid

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify15.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	168	9
1	168	9

prune2.0ms (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

Error

37.7b

Counts

2 → 1

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 (exp.f64 x) 1) x)
3.9b	(-.f64 (exp.f64 x) 1)

rewrite70.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

37.4b

Rules

35×	`add-sqr-sqrt_binary64_2146`
30×	`*-un-lft-identity_binary64_2124`
21×	`times-frac_binary64_2130`
15×	`add-cube-cbrt_binary64_2159`
10×	`difference-of-squares_binary64_2093`
7×	`associate-/l*_binary64_2069`
5×	`difference-of-sqr-1_binary64_2094` `distribute-lft-out--_binary64_2076`
4×	`add-log-exp_binary64_2163` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
3×	`cancel-sign-sub-inv_binary64_2090` `associate-/r*_binary64_2068`
2×	`pow1_binary64_2185` `flip3--_binary64_2128` `flip--_binary64_2099` `associate-/l/_binary64_2071`
1×	`diff-log_binary64_2216` `sub-neg_binary64_2117` `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

2 → 64

Calls

2 calls:

7.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)
4.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 893 to 496 computations (44.5% saved)

series66.0ms (1.7%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

34.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)
20.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 242 to 192 computations (20.7% saved)

simplify62.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4961	1076
1	4961	1076

prune57.0ms (1.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	73	3	76
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	3	77

Error

0.0b

Counts

77 → 3

Compiler

Compiled 932 to 515 computations (44.7% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1/6 (*.f64 x 1/24))
0.0b	(.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
0.3b	(.f64 x (+.f64 1/6 (.f64 x 1/24)))
0.3b	(*.f64 x 1/24)

rewrite100.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-sqr-sqrt_binary64_2146`
10×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
9×	`associate-l_binary64_2065` `associate-r_binary64_2064`
6×	`add-log-exp_binary64_2163`
4×	`associate-*r/_binary64_2066`
3×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `unswap-sqr_binary64_2092` `*-commutative_binary64_2055` `flip3-+_binary64_2127` `flip-+_binary64_2098`
2×	`distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073`
1×	`sum-log_binary64_2215` `+-commutative_binary64_2054`

Counts

4 → 73

Calls

4 calls:

6.0ms	(.f64 x (+.f64 1/6 (.f64 x 1/24)))
5.0ms	(.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
4.0ms	(*.f64 x 1/24)
3.0ms	(+.f64 1/6 (*.f64 x 1/24))

Compiler

Compiled 1504 to 1164 computations (22.6% saved)

series152.0ms (4%)

Error

0.0b

Counts

4 → 20

Calls

4 calls:

55.0ms	(.f64 x (+.f64 1/6 (.f64 x 1/24)))
34.0ms	(.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
31.0ms	(+.f64 1/6 (*.f64 x 1/24))
18.0ms	(*.f64 x 1/24)

Compiler

Compiled 630 to 531 computations (15.7% saved)

simplify85.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4884	1083
1	4884	1083

prune90.0ms (2.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	93	3	96

Error

0.0b

Counts

96 → 3

Compiler

Compiled 1635 to 1268 computations (22.4% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (*.f64 1/24 x) 1/6)
0.3b	(.f64 x (+.f64 (.f64 1/24 x) 1/6))
0.3b	(*.f64 1/24 x)
4.7b	(log.f64 (pow.f64 (exp.f64 x) (+.f64 (.f64 x (+.f64 (.f64 1/24 x) 1/6)) 1/2)))

rewrite109.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-sqr-sqrt_binary64_2146`
10×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
9×	`add-exp-log_binary64_2162`
8×	`log-prod_binary64_2210` `pow1_binary64_2185` `add-cbrt-cube_binary64_2160`
6×	`add-log-exp_binary64_2163` `associate-l_binary64_2065` `associate-r_binary64_2064`
3×	`unpow-prod-down_binary64_2203` `rem-log-exp_binary64_2165`
2×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `unswap-sqr_binary64_2092` `-commutative_binary64_2055` `flip3-+_binary64_2127` `associate-r/_binary64_2066` `flip-+_binary64_2098`
1×	`log-pow_binary64_2213` `unpow-prod-up_binary64_2202` `sqr-pow_binary64_2096` `pow-to-exp_binary64_2193` `pow-exp_binary64_2192` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073` `sum-log_binary64_2215` `+-commutative_binary64_2054`

Counts

4 → 70

Calls

4 calls:

7.0ms	(.f64 x (+.f64 (.f64 1/24 x) 1/6))
4.0ms	(+.f64 (*.f64 1/24 x) 1/6)
4.0ms	(log.f64 (pow.f64 (exp.f64 x) (+.f64 (.f64 x (+.f64 (.f64 1/24 x) 1/6)) 1/2)))
4.0ms	(*.f64 1/24 x)

Compiler

Compiled 1579 to 1182 computations (25.1% saved)

series324.0ms (8.5%)

Error

0.0b

Counts

4 → 20

Calls

4 calls:

207.0ms	(log.f64 (pow.f64 (exp.f64 x) (+.f64 (.f64 x (+.f64 (.f64 1/24 x) 1/6)) 1/2)))
54.0ms	(.f64 x (+.f64 (.f64 1/24 x) 1/6))
32.0ms	(+.f64 (*.f64 1/24 x) 1/6)
16.0ms	(*.f64 1/24 x)

Compiler

Compiled 756 to 631 computations (16.5% saved)

simplify82.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4761	1085
1	4761	1085

prune99.0ms (2.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	89	4	93

Error

0.0b

Counts

93 → 4

Compiler

Compiled 1737 to 1305 computations (24.9% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 x 1/24)
0.3b	(*.f64 x 1/24)
4.3b	(log.f64 (cbrt.f64 (exp.f64 x)))
4.3b	(log.f64 (cbrt.f64 (exp.f64 x)))

rewrite132.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-sqr-sqrt_binary64_2146`
12×	`add-cube-cbrt_binary64_2159` `log-prod_binary64_2210` `*-un-lft-identity_binary64_2124`
10×	`pow1_binary64_2185` `add-exp-log_binary64_2162`
8×	`add-cbrt-cube_binary64_2160`
6×	`cbrt-prod_binary64_2155` `associate-l_binary64_2065` `associate-r_binary64_2064`
4×	`log-pow_binary64_2213` `add-log-exp_binary64_2163`
2×	`pow1/3_binary64_2206` `rem-log-exp_binary64_2165` `pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `unswap-sqr_binary64_2092` `*-commutative_binary64_2055`

Counts

4 → 68

Calls

4 calls:

4.0ms	(*.f64 x 1/24)
4.0ms	(*.f64 x 1/24)
2.0ms	(log.f64 (cbrt.f64 (exp.f64 x)))
2.0ms	(log.f64 (cbrt.f64 (exp.f64 x)))

Compiler

Compiled 2580 to 1617 computations (37.3% saved)

series328.0ms (8.6%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

136.0ms	(log.f64 (cbrt.f64 (exp.f64 x)))
133.0ms	(log.f64 (cbrt.f64 (exp.f64 x)))
20.0ms	(*.f64 x 1/24)
19.0ms	(*.f64 x 1/24)

Compiler

Compiled 1194 to 904 computations (24.3% saved)

simplify91.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4768	538
1	4768	538

prune133.0ms (3.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	80	4	84

Error

0.0b

Counts

84 → 4

Compiler

Compiled 2868 to 1935 computations (32.5% saved)

regimes140.0ms (3.7%)

Accuracy

Total 0.2b remaining (93.9%)

Threshold costs 0.2b (93.9%)

Compiler

Compiled 1095 to 849 computations (22.5% saved)

bsearch15.0ms (0.4%)

Steps

Iters	Range		Point
7	-0.035594393935005866	-0.0006039187401926542	-0.0014696047778642125

Compiler

Compiled 1 to 1 computations (0% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	49	41
1	49	41

end0.0ms (0%)

sample1.5s (38.9%)

Algorithm

1×

intervals

Results

402.0ms	2602×	body	1024	valid
111.0ms	1312×	body	512	valid
74.0ms	3112×	body	128	valid
44.0ms	267×	body	2048	valid
36.0ms	707×	body	256	valid

Compiler

Compiled 587 to 453 computations (22.8% saved)

Details

analyze108.0ms (2.8%)

sample28.0ms (0.7%)

simplify15.0ms (0.4%)

prune2.0ms (0.1%)

localize4.0ms (0.1%)

rewrite70.0ms (1.8%)

series66.0ms (1.7%)

simplify62.0ms (1.6%)

prune57.0ms (1.5%)

localize10.0ms (0.3%)

rewrite100.0ms (2.6%)

series152.0ms (4%)

simplify85.0ms (2.2%)

prune90.0ms (2.4%)

localize11.0ms (0.3%)

rewrite109.0ms (2.9%)

series324.0ms (8.5%)

simplify82.0ms (2.1%)

prune99.0ms (2.6%)

localize16.0ms (0.4%)

rewrite132.0ms (3.5%)

series328.0ms (8.6%)

simplify91.0ms (2.4%)

prune133.0ms (3.5%)

regimes140.0ms (3.7%)

bsearch15.0ms (0.4%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.5s (38.9%)

Profiling