Details

analyze763.0ms (10.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5270	72
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
12.5%	43.7%	43.8%	7
12.5%	43.7%	43.8%	8
25%	28.1%	47%	9
28.1%	20.3%	51.6%	10
28.1%	20.3%	51.6%	11
34.3%	13.3%	52.4%	12
35.9%	9.8%	54.4%	13
35.9%	9.8%	54.4%	14

Symmetry

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample27.0ms (0.4%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
0.0ms	9×	body	128	invalid
0.0ms	1×	body	128	nan

Compiler

Compiled 25 to 26 computations (-4% saved)

simplify365.0ms (5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (360.0ms)

Iter	Nodes	Cost
0	4889	18
1	4889	18

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

0.1b

Counts

2 → 1

Compiler

Compiled 24 to 22 computations (8.3% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
0.0b	(+.f64 (-.f64 1 z) (log.f64 z))
0.2b	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))

rewrite98.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

23×	`*-un-lft-identity_binary64_9626`
9×	`pow1_binary64_9687` `add-sqr-sqrt_binary64_9648`
8×	`add-log-exp_binary64_9665` `distribute-lft-out_binary64_9577`
7×	`add-cube-cbrt_binary64_9661` `associate-r_binary64_9566`
5×	`add-exp-log_binary64_9664` `add-cbrt-cube_binary64_9662` `associate-+r+_binary64_9558`
4×	`log-pow_binary64_9715` `distribute-lft-out--_binary64_9578` `associate-+l+_binary64_9559`
3×	`flip3-+_binary64_9629` `flip-+_binary64_9600` `associate-l_binary64_9567` `sum-log_binary64_9717` `cancel-sign-sub-inv_binary64_9592` `log-prod_binary64_9712`
2×	`distribute-rgt-in_binary64_9576` `distribute-lft-in_binary64_9575` `associate-*r/_binary64_9568` `+-commutative_binary64_9556`
1×	`pow-prod-down_binary64_9697` `prod-exp_binary64_9675` `cbrt-unprod_binary64_9659` `unswap-sqr_binary64_9594` `*-commutative_binary64_9557` `diff-log_binary64_9718` `associate-+l-_binary64_9561` `sub-neg_binary64_9619`

Counts

3 → 63

Calls

3 calls:

11.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
8.0ms	(+.f64 (-.f64 1 z) (log.f64 z))
6.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))

Compiler

Compiled 1231 to 755 computations (38.7% saved)

series514.0ms (7%)

Error

0.1b

Counts

3 → 30

Calls

3 calls:

303.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
134.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
55.0ms	(+.f64 (-.f64 1 z) (log.f64 z))

Compiler

Compiled 903 to 665 computations (26.4% saved)

simplify73.0ms (1%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5370	1270

prune93.0ms (1.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	87	6	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	6	94

Error

Counts

94 → 6

Compiler

Compiled 1548 to 940 computations (39.3% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z))))
0.2b	(+.f64 (+.f64 (-.f64 1 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z)))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite117.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`*-un-lft-identity_binary64_9626`
12×	`add-sqr-sqrt_binary64_9648`
10×	`add-log-exp_binary64_9665` `add-cube-cbrt_binary64_9661`
9×	`cbrt-prod_binary64_9657`
8×	`pow1_binary64_9687`
6×	`add-exp-log_binary64_9664` `add-cbrt-cube_binary64_9662` `log-prod_binary64_9712` `associate-+r+_binary64_9558`
5×	`sum-log_binary64_9717` `associate-r_binary64_9566`
4×	`distribute-lft-out_binary64_9577`
3×	`associate-l_binary64_9567`
2×	`pow1/3_binary64_9708` `flip3-+_binary64_9629` `flip-+_binary64_9600` `log-pow_binary64_9715` `associate-+l-_binary64_9561` `associate-*r/_binary64_9568`
1×	`diff-log_binary64_9718` `associate-+l+_binary64_9559` `+-commutative_binary64_9556` `pow-prod-down_binary64_9697` `prod-exp_binary64_9675` `cbrt-unprod_binary64_9659` `unswap-sqr_binary64_9594` `distribute-rgt-in_binary64_9576` `distribute-lft-in_binary64_9575` `*-commutative_binary64_9557`

Counts

4 → 69

Calls

4 calls:

14.0ms	(+.f64 (+.f64 (-.f64 1 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z)))
13.0ms	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z))))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

Compiler

Compiled 1905 to 1024 computations (46.2% saved)

series569.0ms (7.8%)

Error

Counts

4 → 19

Calls

4 calls:

277.0ms	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z))))
116.0ms	(+.f64 (+.f64 (-.f64 1 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z)))
80.0ms	(cbrt.f64 z)
78.0ms	(cbrt.f64 z)

Compiler

Compiled 922 to 782 computations (15.2% saved)

simplify59.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5010	1012

prune92.0ms (1.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	89	5	94

Error

Counts

94 → 5

Compiler

Compiled 1848 to 1081 computations (41.5% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 y (+.f64 (.f64 (log.f64 z) 2/3) (-.f64 1 z)))
0.3b	(*.f64 (log.f64 (cbrt.f64 z)) y)
0.4b	(*.f64 (log.f64 z) 2/3)
0.6b	(cbrt.f64 z)

rewrite109.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

17×	`add-sqr-sqrt_binary64_9648`
12×	`pow1_binary64_9687` `associate-l_binary64_9567`
11×	`add-cube-cbrt_binary64_9661` `*-un-lft-identity_binary64_9626`
10×	`add-exp-log_binary64_9664` `add-cbrt-cube_binary64_9662`
9×	`associate-r_binary64_9566`
4×	`add-log-exp_binary64_9665`
3×	`cbrt-prod_binary64_9657` `pow-prod-down_binary64_9697` `prod-exp_binary64_9675` `cbrt-unprod_binary64_9659` `unswap-sqr_binary64_9594` `log-pow_binary64_9715` `*-commutative_binary64_9557`
2×	`pow1/3_binary64_9708` `associate-*r/_binary64_9568`
1×	`distribute-rgt-in_binary64_9576` `distribute-lft-in_binary64_9575` `flip3-+_binary64_9629` `flip-+_binary64_9600`

Counts

4 → 72

Calls

4 calls:

9.0ms	(.f64 y (+.f64 (.f64 (log.f64 z) 2/3) (-.f64 1 z)))
4.0ms	(*.f64 (log.f64 (cbrt.f64 z)) y)
4.0ms	(*.f64 (log.f64 z) 2/3)
1.0ms	(cbrt.f64 z)

Compiler

Compiled 1900 to 1037 computations (45.4% saved)

series591.0ms (8.1%)

Error

Counts

4 → 20

Calls

4 calls:

260.0ms	(*.f64 (log.f64 (cbrt.f64 z)) y)
165.0ms	(.f64 y (+.f64 (.f64 (log.f64 z) 2/3) (-.f64 1 z)))
85.0ms	(cbrt.f64 z)
60.0ms	(*.f64 (log.f64 z) 2/3)

Compiler

Compiled 1249 to 962 computations (23% saved)

simplify55.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5062	1019

prune107.0ms (1.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	92	5	97

Error

Counts

97 → 5

Compiler

Compiled 2272 to 1238 computations (45.5% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 (-.f64 1 z) (-.f64 1 z)) (.f64 (log.f64 z) (log.f64 z)))
0.5b	(*.f64 (log.f64 z) (log.f64 z))
4.6b	(.f64 y (-.f64 (.f64 (-.f64 1 z) (-.f64 1 z)) (*.f64 (log.f64 z) (log.f64 z))))
9.0b	(/.f64 (.f64 y (-.f64 (.f64 (-.f64 1 z) (-.f64 1 z)) (*.f64 (log.f64 z) (log.f64 z)))) (-.f64 (-.f64 1 z) (log.f64 z)))

rewrite285.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

40×	`*-un-lft-identity_binary64_9626`
30×	`add-sqr-sqrt_binary64_9648`
28×	`distribute-rgt-in_binary64_9576` `distribute-lft-in_binary64_9575`
24×	`associate--l+_binary64_9563`
23×	`pow1_binary64_9687`
22×	`add-cube-cbrt_binary64_9661`
21×	`cancel-sign-sub-inv_binary64_9592`
13×	`add-exp-log_binary64_9664` `add-cbrt-cube_binary64_9662`
12×	`distribute-lft-out--_binary64_9578` `log-prod_binary64_9712`
10×	`log-pow_binary64_9715`
9×	`sub-neg_binary64_9619`
8×	`times-frac_binary64_9632` `associate-/r_binary64_9570` `associate-r*_binary64_9566`
7×	`associate-l_binary64_9567`
6×	`add-log-exp_binary64_9665` `swap-sqr_binary64_9593` `associate--r+_binary64_9562`
4×	`difference-of-squares_binary64_9595` `flip3--_binary64_9630` `associate-*r/_binary64_9568` `flip--_binary64_9601`
3×	`prod-exp_binary64_9675` `cbrt-unprod_binary64_9659`
2×	`div-exp_binary64_9677` `cbrt-undiv_binary64_9660` `associate-/l/_binary64_9573` `associate-/r/_binary64_9572` `pow-prod-down_binary64_9697` `unswap-sqr_binary64_9594` `*-commutative_binary64_9557`
1×	`frac-2neg_binary64_9637` `clear-num_binary64_9625` `div-inv_binary64_9623` `associate-/l*_binary64_9571` `pow2_binary64_9707` `pow-prod-up_binary64_9696` `pow-plus_binary64_9689` `pow-sqr_binary64_9599` `diff-log_binary64_9718`

Counts

4 → 139

Calls

4 calls:

26.0ms	(/.f64 (.f64 y (-.f64 (.f64 (-.f64 1 z) (-.f64 1 z)) (*.f64 (log.f64 z) (log.f64 z)))) (-.f64 (-.f64 1 z) (log.f64 z)))
15.0ms	(.f64 y (-.f64 (.f64 (-.f64 1 z) (-.f64 1 z)) (*.f64 (log.f64 z) (log.f64 z))))
13.0ms	(-.f64 (.f64 (-.f64 1 z) (-.f64 1 z)) (.f64 (log.f64 z) (log.f64 z)))
5.0ms	(*.f64 (log.f64 z) (log.f64 z))

Compiler

Compiled 5004 to 2691 computations (46.2% saved)

series833.0ms (11.4%)

Error

Counts

4 → 30

Calls

4 calls:

357.0ms	(/.f64 (.f64 y (-.f64 (.f64 (-.f64 1 z) (-.f64 1 z)) (*.f64 (log.f64 z) (log.f64 z)))) (-.f64 (-.f64 1 z) (log.f64 z)))
252.0ms	(.f64 y (-.f64 (.f64 (-.f64 1 z) (-.f64 1 z)) (*.f64 (log.f64 z) (log.f64 z))))
116.0ms	(-.f64 (.f64 (-.f64 1 z) (-.f64 1 z)) (.f64 (log.f64 z) (log.f64 z)))
76.0ms	(*.f64 (log.f64 z) (log.f64 z))

Compiler

Compiled 2032 to 1522 computations (25.1% saved)

simplify89.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5020	3042

prune221.0ms (3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	169	0	169
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	169	5	174

Error

Counts

174 → 5

Compiler

Compiled 4659 to 2720 computations (41.6% saved)

regimes599.0ms (8.2%)

Accuracy

Total 0.1b remaining (97.8%)

Threshold costs 0.1b (97.8%)

Compiler

Compiled 6378 to 5204 computations (18.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	18
1	26	18

Removed

()

end0.0ms (0%)

sample1.6s (21.6%)

Algorithm

1×

intervals

Results

397.0ms	8000×	body	128	valid
14.0ms	297×	body	128	invalid
3.0ms	83×	body	128	nan

Compiler

Compiled 939 to 768 computations (18.2% saved)

Details

analyze763.0ms (10.5%)

sample27.0ms (0.4%)

simplify365.0ms (5%)

prune3.0ms (0%)

localize9.0ms (0.1%)

rewrite98.0ms (1.3%)

series514.0ms (7%)

simplify73.0ms (1%)

prune93.0ms (1.3%)

localize14.0ms (0.2%)

rewrite117.0ms (1.6%)

series569.0ms (7.8%)

simplify59.0ms (0.8%)

prune92.0ms (1.3%)

localize17.0ms (0.2%)

rewrite109.0ms (1.5%)

series591.0ms (8.1%)

simplify55.0ms (0.8%)

prune107.0ms (1.5%)

localize14.0ms (0.2%)

rewrite285.0ms (3.9%)

series833.0ms (11.4%)

simplify89.0ms (1.2%)

prune221.0ms (3%)

regimes599.0ms (8.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.6s (21.6%)

Profiling