Details

sample33.0ms

Algorithm

intervals

Results

14.0ms

276×

body

valid

simplify89.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4952	11
1	4952	11

prune12.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.1b

Counts

2 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
2.1b	(* y (/ (- z t) (- z a)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 113

Calls

3 calls:

3.0ms	(+ x (* y (/ (- z t) (- z a))))
8.0ms	(/ (- z t) (- z a))
13.0ms	(* y (/ (- z t) (- z a)))

series60.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ x (* y (/ (- z t) (- z a))))
9.0ms	(/ (- z t) (- z a))
19.0ms	(* y (/ (- z t) (- z a)))

simplify50.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4994	1366
1	4994	1366

prune131.0ms

Filtered

82 candidates to 122 candidates (-48.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	117	5	122
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	117	7	124

Merged error: 0.0b

Counts

124 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

2.1b	(* y (* (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))) (cbrt (/ (- z t) (- z a)))))
3.2b	(cbrt (/ (- z t) (- z a)))
3.2b	(cbrt (/ (- z t) (- z a)))
3.2b	(cbrt (/ (- z t) (- z a)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

98×	`add-sqr-sqrt` `*-un-lft-identity`
93×	`cbrt-prod`
75×	`times-frac`
38×	`add-cube-cbrt`
30×	`distribute-lft-out--` `difference-of-squares`
15×	`cbrt-div`
13×	`pow1` `add-exp-log`
10×	`associate-*r/`
9×	`add-cbrt-cube`
6×	`pow-prod-down` `prod-exp` `associate-/r/` `cbrt-unprod`
5×	`frac-times` `associate-*l/`
4×	`add-log-exp`
3×	`flip3--` `pow1/3` `associate-l` `flip--` `div-inv`
1×	`associate-r` `*-commutative`

Counts

4 → 148

Calls

4 calls:

36.0ms	(* y (* (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))) (cbrt (/ (- z t) (- z a)))))
7.0ms	(cbrt (/ (- z t) (- z a)))
7.0ms	(cbrt (/ (- z t) (- z a)))
7.0ms	(cbrt (/ (- z t) (- z a)))

series114.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* y (* (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))) (cbrt (/ (- z t) (- z a)))))
35.0ms	(cbrt (/ (- z t) (- z a)))
31.0ms	(cbrt (/ (- z t) (- z a)))
31.0ms	(cbrt (/ (- z t) (- z a)))

simplify38.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5357	2319

prune156.0ms

Filtered

107 candidates to 160 candidates (-49.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	158	2	160
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	159	8	167

Merged error: 0b

Counts

167 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z a))
0.6b	(cbrt (- z a))
0.6b	(cbrt (- z a))
7.3b	(* (/ y (* (cbrt (- z a)) (cbrt (- z a)))) (/ (- z t) (cbrt (- z a))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
50×	`times-frac`
46×	`associate-r`
42×	`cbrt-prod`
28×	`add-cube-cbrt`
25×	`add-exp-log`
20×	`cbrt-div`
18×	`add-cbrt-cube`
16×	`distribute-lft-out--` `difference-of-squares`
15×	`associate-l`
10×	`flip3--` `associate-/r/` `flip--`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`pow1` `unswap-sqr`
5×	`frac-times`
4×	`add-log-exp`
3×	`pow1/3` `associate-r/` `associate-l/`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 136

Calls

4 calls:

3.0ms	(cbrt (- z a))
3.0ms	(cbrt (- z a))
3.0ms	(cbrt (- z a))
33.0ms	(* (/ y (* (cbrt (- z a)) (cbrt (- z a)))) (/ (- z t) (cbrt (- z a))))

series106.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(cbrt (- z a))
27.0ms	(cbrt (- z a))
27.0ms	(cbrt (- z a))
23.0ms	(* (/ y (* (cbrt (- z a)) (cbrt (- z a)))) (/ (- z t) (cbrt (- z a))))

simplify63.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4947	2192
1	4947	2192

prune153.0ms

Filtered

110 candidates to 148 candidates (-34.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	148	8	156

Merged error: 0b

Counts

156 → 8

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (pow (* (- z t) (/ y (- z a))) 1))
0.0b	(/ y (- z a))
10.8b	(* (- z t) (/ y (- z a)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-l` `associate-/r*` `add-log-exp`
4×	`flip3--` `associate-/r/` `flip--`
3×	`associate-/l*`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `distribute-lft-out`

Counts

3 → 95

Calls

3 calls:

4.0ms	(+ x (pow (* (- z t) (/ y (- z a))) 1))
5.0ms	(/ y (- z a))
13.0ms	(* (- z t) (/ y (- z a)))

series51.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ x (pow (* (- z t) (/ y (- z a))) 1))
7.0ms	(/ y (- z a))
15.0ms	(* (- z t) (/ y (- z a)))

simplify39.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5661	1062

prune106.0ms

Filtered

77 candidates to 104 candidates (-35.1%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	1	3	4
Picked	0	1	1
Done	0	3	3
Total	104	8	112

Merged error: 0b

Counts

112 → 8

regimes579.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	11
1	30	11

end0.0ms

sample789.0ms

Algorithm

intervals

Results

303.0ms

8711×

body

valid

Details

sample33.0ms

simplify89.0ms

prune12.0ms

localize8.0ms

rewrite30.0ms

series60.0ms

simplify50.0ms

prune131.0ms

localize12.0ms

rewrite66.0ms

series114.0ms

simplify38.0ms

prune156.0ms

localize12.0ms

rewrite52.0ms

series106.0ms

simplify63.0ms

prune153.0ms

localize10.0ms

rewrite26.0ms

series51.0ms

simplify39.0ms

prune106.0ms

regimes579.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample789.0ms

Profiling