Details

sample64.0ms

Algorithm

intervals

Results

21.0ms

420×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	66	15
1	66	15

prune14.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(+ (+ (* x y) (* z t)) (* a b))
0.0b	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+l+`

Counts

3 → 38

Calls

3 calls:

4.0ms	(+ (* x y) (* z t))
6.0ms	(+ (+ (* x y) (* z t)) (* a b))
9.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

series153.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(+ (* x y) (* z t))
22.0ms	(+ (+ (* x y) (* z t)) (* a b))
121.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

simplify27.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5330	677

prune72.0ms

Filtered

36 candidates to 47 candidates (-30.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	44	3	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	4	48

Merged error: 0.0b

Counts

48 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i))))) (cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i))))))
0.6b	(cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))))
0.6b	(cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))))
0.6b	(cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

19.0ms	(* (cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i))))) (cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i))))))
8.0ms	(cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))))
11.0ms	(cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))))
7.0ms	(cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))))

series256.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(* (cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i))))) (cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i))))))
56.0ms	(cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))))
59.0ms	(cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))))
56.0ms	(cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))))

simplify39.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5033	2643

prune131.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	98	5	103

Merged error: 0.0b

Counts

103 → 5

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(pow (cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i))))) 6)
0.6b	(cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))))
0.6b	(cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))))
33.8b	(cbrt (pow (cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i))))) 6))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`cbrt-div` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow` `flip3-+` `flip-+` `sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

4 → 65

Calls

4 calls:

10.0ms	(pow (cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i))))) 6)
8.0ms	(cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))))
7.0ms	(cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))))
10.0ms	(cbrt (pow (cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i))))) 6))

series293.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(pow (cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i))))) 6)
58.0ms	(cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))))
56.0ms	(cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))))
85.0ms	(cbrt (pow (cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i))))) 6))

simplify34.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	4995	1672
1	4995	1672

prune126.0ms

Filtered

52 candidates to 77 candidates (-48.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	76	6	82

Merged error: 0.0b

Counts

82 → 6

localize21.0ms

Local error

Found 4 expressions with local error:

4.5b	(* c (* c (* i i)))
5.6b	(- (* (+ (* x y) (+ (* z t) (* a b))) (+ (* x y) (+ (* z t) (* a b)))) (* c (* c (* i i))))
10.1b	(* c (* i i))
32.9b	(/ (- (* (+ (* x y) (+ (* z t) (* a b))) (+ (* x y) (+ (* z t) (* a b)))) (* c (* c (* i i)))) (+ (* x y) (+ (* z t) (- (* a b) (* c i)))))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
18×	`pow1`
15×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac` `pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-l` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`flip3--` `associate-r` `associate--l+` `associate-/r/` `*-commutative` `flip--` `associate-/l/`
1×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `flip3-+` `diff-log` `div-sub` `div-exp` `clear-num` `flip-+` `div-inv` `unswap-sqr`

Counts

4 → 86

Calls

4 calls:

8.0ms	(* c (* c (* i i)))
15.0ms	(- (* (+ (* x y) (+ (* z t) (* a b))) (+ (* x y) (+ (* z t) (* a b)))) (* c (* c (* i i))))
6.0ms	(* c (* i i))
25.0ms	(/ (- (* (+ (* x y) (+ (* z t) (* a b))) (+ (* x y) (+ (* z t) (* a b)))) (* c (* c (* i i)))) (+ (* x y) (+ (* z t) (- (* a b) (* c i)))))

series1.4min

Counts

4 → 12

Calls

4 calls:

7.0ms	(* c (* c (* i i)))
1.4min	(- (* (+ (* x y) (+ (* z t) (* a b))) (+ (* x y) (+ (* z t) (* a b)))) (* c (* c (* i i))))
8.0ms	(* c (* i i))
317.0ms	(/ (- (* (+ (* x y) (+ (* z t) (* a b))) (+ (* x y) (+ (* z t) (* a b)))) (* c (* c (* i i)))) (+ (* x y) (+ (* z t) (- (* a b) (* c i)))))

simplify42.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5496	2899

prune318.0ms

Filtered

66 candidates to 98 candidates (-48.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	98	6	104

Merged error: 0.0b

Counts

104 → 6

regimes1.6s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	15
1	22	15

end0.0ms

sample2.0s

Algorithm

intervals

Results

737.0ms

13826×

body

valid

Details

sample64.0ms

simplify3.0ms

prune14.0ms

localize12.0ms

rewrite21.0ms

series153.0ms

simplify27.0ms

prune72.0ms

localize17.0ms

rewrite48.0ms

series256.0ms

simplify39.0ms

prune131.0ms

localize21.0ms

rewrite37.0ms

series293.0ms

simplify34.0ms

prune126.0ms

localize21.0ms

rewrite56.0ms

series1.4min

simplify42.0ms

prune318.0ms

regimes1.6s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.0s

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