Details

analyze2.9s (23.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4968	400
1	4968	400
0	6	6
1	6	6

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.6%	98.1%	0.3%	13
2.3%	97.4%	0.3%	14

Symmetry

(sort y z t)

(sort a b)

Compiler

Compiled 18 to 18 computations (0% saved)

sample72.0ms (0.6%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
4.0ms	80×	body	128	invalid

Compiler

Compiled 35 to 41 computations (-17.1% saved)

simplify57.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	788	25
1	788	25

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

2.7b

Counts

2 → 1

Compiler

Compiled 34 to 34 computations (0% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t))
0.2b	(.f64 (.f64 y 9) z)
0.2b	(.f64 (.f64 a 27) b)
7.2b	(.f64 (.f64 (*.f64 y 9) z) t)

rewrite135.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`pow1_binary64_21963` `add-exp-log_binary64_21940` `add-cbrt-cube_binary64_21938`
12×	`pow-prod-down_binary64_21973` `prod-exp_binary64_21951` `cbrt-unprod_binary64_21935`
9×	`associate-r_binary64_21842`
7×	`add-cube-cbrt_binary64_21937` `add-sqr-sqrt_binary64_21924` `*-un-lft-identity_binary64_21902`
6×	`add-log-exp_binary64_21941`
3×	`associate-l_binary64_21843` `*-commutative_binary64_21833`
1×	`diff-log_binary64_21994` `flip3--_binary64_21906` `sub-neg_binary64_21895` `flip--_binary64_21877` `cancel-sign-sub-inv_binary64_21868`

Counts

4 → 69

Calls

4 calls:

13.0ms	(.f64 (.f64 (*.f64 y 9) z) t)
5.0ms	(.f64 (.f64 y 9) z)
5.0ms	(.f64 (.f64 a 27) b)
4.0ms	(-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t))

Compiler

Compiled 1640 to 1084 computations (33.9% saved)

series578.0ms (4.8%)

Error

1.8b

Counts

4 → 45

Calls

4 calls:

284.0ms	(-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t))
131.0ms	(.f64 (.f64 (*.f64 y 9) z) t)
61.0ms	(.f64 (.f64 a 27) b)
59.0ms	(.f64 (.f64 y 9) z)

Compiler

Compiled 1955 to 1670 computations (14.6% saved)

simplify79.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5053	1304

prune123.0ms (1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	107	7	114
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	108	7	115

Error

0.0b

Counts

115 → 7

Compiler

Compiled 2287 to 1344 computations (41.2% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x 2) (.f64 (.f64 y 9) (.f64 t z)))
0.2b	(.f64 (.f64 a 27) b)
6.8b	(.f64 (.f64 y 9) (*.f64 t z))

rewrite89.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`pow1_binary64_21963` `add-exp-log_binary64_21940` `add-cbrt-cube_binary64_21938`
11×	`pow-prod-down_binary64_21973` `prod-exp_binary64_21951` `cbrt-unprod_binary64_21935`
5×	`add-log-exp_binary64_21941`
4×	`add-cube-cbrt_binary64_21937` `add-sqr-sqrt_binary64_21924` `-un-lft-identity_binary64_21902` `associate-r*_binary64_21842`
2×	`associate-l_binary64_21843` `*-commutative_binary64_21833`
1×	`diff-log_binary64_21994` `flip3--_binary64_21906` `sub-neg_binary64_21895` `flip--_binary64_21877` `cancel-sign-sub-inv_binary64_21868`

Counts

3 → 52

Calls

3 calls:

12.0ms	(.f64 (.f64 y 9) (*.f64 t z))
9.0ms	(.f64 (.f64 a 27) b)
5.0ms	(-.f64 (.f64 x 2) (.f64 (.f64 y 9) (.f64 t z)))

Compiler

Compiled 1267 to 776 computations (38.8% saved)

series559.0ms (4.6%)

Error

0.0b

Counts

3 → 39

Calls

3 calls:

302.0ms	(-.f64 (.f64 x 2) (.f64 (.f64 y 9) (.f64 t z)))
130.0ms	(.f64 (.f64 y 9) (*.f64 t z))
72.0ms	(.f64 (.f64 a 27) b)

Compiler

Compiled 1649 to 1401 computations (15% saved)

simplify165.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (143.0ms)

Iter	Nodes	Cost
0	4907	1113
1	4907	1113

prune137.0ms (1.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	88	3	91
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	92	6	98

Error

0.0b

Counts

98 → 6

Compiler

Compiled 1816 to 1017 computations (44% saved)

localize23.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x 2) (.f64 (.f64 y 9) (.f64 t z)))
0.2b	(.f64 27 (.f64 a b))
6.8b	(.f64 (.f64 y 9) (*.f64 t z))

rewrite80.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`pow1_binary64_21963` `add-exp-log_binary64_21940` `add-cbrt-cube_binary64_21938`
11×	`pow-prod-down_binary64_21973` `prod-exp_binary64_21951` `cbrt-unprod_binary64_21935`
5×	`add-log-exp_binary64_21941`
4×	`add-cube-cbrt_binary64_21937` `add-sqr-sqrt_binary64_21924` `-un-lft-identity_binary64_21902` `associate-l*_binary64_21843`
2×	`associate-r_binary64_21842` `*-commutative_binary64_21833`
1×	`diff-log_binary64_21994` `flip3--_binary64_21906` `sub-neg_binary64_21895` `flip--_binary64_21877` `cancel-sign-sub-inv_binary64_21868`

Counts

3 → 52

Calls

3 calls:

7.0ms	(.f64 (.f64 y 9) (*.f64 t z))
5.0ms	(.f64 27 (.f64 a b))
4.0ms	(-.f64 (.f64 x 2) (.f64 (.f64 y 9) (.f64 t z)))

Compiler

Compiled 1267 to 730 computations (42.4% saved)

series605.0ms (5%)

Error

0.0b

Counts

3 → 39

Calls

3 calls:

358.0ms	(-.f64 (.f64 x 2) (.f64 (.f64 y 9) (.f64 t z)))
128.0ms	(.f64 (.f64 y 9) (*.f64 t z))
91.0ms	(.f64 27 (.f64 a b))

Compiler

Compiled 1649 to 1368 computations (17% saved)

simplify79.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5031	1111

prune93.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	91	6	97

Error

0.0b

Counts

97 → 6

Compiler

Compiled 1801 to 935 computations (48.1% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x 2) (.f64 y (.f64 9 (.f64 t z))))
0.2b	(.f64 9 (.f64 t z))
0.2b	(.f64 (.f64 a 27) b)
6.7b	(.f64 y (.f64 9 (*.f64 t z)))

rewrite134.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`pow1_binary64_21963` `add-exp-log_binary64_21940` `add-cbrt-cube_binary64_21938`
12×	`pow-prod-down_binary64_21973` `prod-exp_binary64_21951` `cbrt-unprod_binary64_21935`
7×	`add-cube-cbrt_binary64_21937` `add-sqr-sqrt_binary64_21924` `-un-lft-identity_binary64_21902` `associate-l*_binary64_21843`
6×	`add-log-exp_binary64_21941`
5×	`associate-r_binary64_21842`
3×	`*-commutative_binary64_21833`
1×	`diff-log_binary64_21994` `flip3--_binary64_21906` `sub-neg_binary64_21895` `flip--_binary64_21877` `cancel-sign-sub-inv_binary64_21868`

Counts

4 → 69

Calls

4 calls:

9.0ms	(.f64 y (.f64 9 (*.f64 t z)))
7.0ms	(.f64 (.f64 a 27) b)
5.0ms	(.f64 9 (.f64 t z))
4.0ms	(-.f64 (.f64 x 2) (.f64 y (.f64 9 (.f64 t z))))

Compiler

Compiled 1640 to 1002 computations (38.9% saved)

series598.0ms (5%)

Error

0.0b

Counts

4 → 45

Calls

4 calls:

280.0ms	(-.f64 (.f64 x 2) (.f64 y (.f64 9 (.f64 t z))))
133.0ms	(.f64 y (.f64 9 (*.f64 t z)))
80.0ms	(.f64 9 (.f64 t z))
67.0ms	(.f64 (.f64 a 27) b)

Compiler

Compiled 1955 to 1665 computations (14.8% saved)

simplify87.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4912	1298
1	4912	1298

prune118.0ms (1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	114	6	120

Error

0.0b

Counts

120 → 6

Compiler

Compiled 2167 to 1195 computations (44.9% saved)

regimes2.0s (16.3%)

Accuracy

Total 0.7b remaining (98.4%)

Threshold costs 0.7b (98.4%)

Compiler

Compiled 13340 to 12608 computations (5.5% saved)

bsearch41.0ms (0.3%)

Steps

Iters	Range		Point
5	-7.959285085160699e-137	-2.9916608293812848e-137	-4.1192725099324146e-137

Compiler

Compiled 1 to 6 computations (-500% saved)

simplify83.0ms (0.7%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	120	56
1	120	56

Compiler

Compiled 152 to 124 computations (18.4% saved)

end0.0ms (0%)

sample3.3s (26.9%)

Algorithm

1×

intervals

Results

520.0ms	8000×	body	128	valid
225.0ms	3034×	body	128	invalid

Compiler

Compiled 880 to 821 computations (6.7% saved)

Details

analyze2.9s (23.7%)

sample72.0ms (0.6%)

simplify57.0ms (0.5%)

prune3.0ms (0%)

localize25.0ms (0.2%)

rewrite135.0ms (1.1%)

series578.0ms (4.8%)

simplify79.0ms (0.7%)

prune123.0ms (1%)

localize14.0ms (0.1%)

rewrite89.0ms (0.7%)

series559.0ms (4.6%)

simplify165.0ms (1.4%)

prune137.0ms (1.1%)

localize23.0ms (0.2%)

rewrite80.0ms (0.7%)

series605.0ms (5%)

simplify79.0ms (0.7%)

prune93.0ms (0.8%)

localize13.0ms (0.1%)

rewrite134.0ms (1.1%)

series598.0ms (5%)

simplify87.0ms (0.7%)

prune118.0ms (1%)

regimes2.0s (16.3%)

bsearch41.0ms (0.3%)

simplify83.0ms (0.7%)

end0.0ms (0%)

sample3.3s (26.9%)

Profiling