Details

sample72.0ms

Algorithm

intervals

Results

39.0ms

581×

body

valid

simplify80.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	43	14
1	96	14
2	291	14
3	825	14
4	2021	14
5	5001	14

prune4.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.9b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* c a) (* y i))
3.7b	(* b (- (* c z) (* t i)))
4.0b	(* j (- (* c a) (* y i)))
5.4b	(* x (- (* y z) (* t a)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`associate-r` `associate-l`
7×	`sub-neg`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/` `add-log-exp`
4×	`flip3--` `flip--`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`diff-log`

Counts

4 → 84

Calls

4 calls:

2.0ms	(- (* c a) (* y i))
10.0ms	(* b (- (* c z) (* t i)))
9.0ms	(* j (- (* c a) (* y i)))
11.0ms	(* x (- (* y z) (* t a)))

series229.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- (* c a) (* y i))
66.0ms	(* b (- (* c z) (* t i)))
63.0ms	(* j (- (* c a) (* y i)))
65.0ms	(* x (- (* y z) (* t a)))

simplify56.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	423	552
1	1763	485
2	5002	485

prune415.0ms

Filtered

96 candidates to 63 candidates (65.6%)

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 7.8b

localize29.0ms

Local error

Found 4 expressions with local error:

5.4b	(* x (- (* y z) (* t a)))
8.3b	(cbrt (* b (- (* c z) (* t i))))
8.3b	(cbrt (* b (- (* c z) (* t i))))
8.3b	(cbrt (* b (- (* c z) (* t i))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `associate-*r/`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity` `add-cbrt-cube`
4×	`flip3--` `flip--` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `associate-l`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 57

Calls

4 calls:

9.0ms	(* x (- (* y z) (* t a)))
4.0ms	(cbrt (* b (- (* c z) (* t i))))
4.0ms	(cbrt (* b (- (* c z) (* t i))))
4.0ms	(cbrt (* b (- (* c z) (* t i))))

series473.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* x (- (* y z) (* t a)))
131.0ms	(cbrt (* b (- (* c z) (* t i))))
137.0ms	(cbrt (* b (- (* c z) (* t i))))
136.0ms	(cbrt (* b (- (* c z) (* t i))))

simplify109.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (103.0ms)

Iter	Nodes	Cost
0	314	542
1	1106	489
2	4138	480
3	5001	477

prune449.0ms

Filtered

69 candidates to 56 candidates (81.2%)

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 7.8b

localize29.0ms

Local error

Found 4 expressions with local error:

5.1b	(cbrt (- (* c z) (* t i)))
5.4b	(* x (- (* y z) (* t a)))
8.3b	(cbrt (* b (- (* c z) (* t i))))
8.3b	(cbrt (* b (- (* c z) (* t i))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `cbrt-div` `associate-*r/` `add-cbrt-cube`
5×	`cbrt-prod`
4×	`flip3--` `flip--` `add-log-exp`
3×	`pow1/3` `associate-r` `associate-l`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 59

Calls

4 calls:

2.0ms	(cbrt (- (* c z) (* t i)))
9.0ms	(* x (- (* y z) (* t a)))
4.0ms	(cbrt (* b (- (* c z) (* t i))))
4.0ms	(cbrt (* b (- (* c z) (* t i))))

series449.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(cbrt (- (* c z) (* t i)))
67.0ms	(* x (- (* y z) (* t a)))
130.0ms	(cbrt (* b (- (* c z) (* t i))))
137.0ms	(cbrt (* b (- (* c z) (* t i))))

simplify122.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	388	558
1	1287	507
2	4657	493
3	5001	493

prune520.0ms

Filtered

71 candidates to 58 candidates (81.7%)

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 7.8b

localize31.0ms

Local error

Found 4 expressions with local error:

4.4b	(cbrt (* j (- (* c a) (* y i))))
4.4b	(cbrt (* j (- (* c a) (* y i))))
4.4b	(cbrt (* j (- (* c a) (* y i))))
5.4b	(* x (- (* y z) (* t a)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `associate-*r/`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity` `add-cbrt-cube`
4×	`flip3--` `flip--` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `associate-l`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 57

Calls

4 calls:

4.0ms	(cbrt (* j (- (* c a) (* y i))))
4.0ms	(cbrt (* j (- (* c a) (* y i))))
4.0ms	(cbrt (* j (- (* c a) (* y i))))
9.0ms	(* x (- (* y z) (* t a)))

series471.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(cbrt (* j (- (* c a) (* y i))))
137.0ms	(cbrt (* j (- (* c a) (* y i))))
132.0ms	(cbrt (* j (- (* c a) (* y i))))
68.0ms	(* x (- (* y z) (* t a)))

simplify108.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (102.0ms)

Iter	Nodes	Cost
0	314	542
1	1109	489
2	4149	480
3	5001	477

prune349.0ms

Filtered

69 candidates to 56 candidates (81.2%)

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 7.8b

regimes1.3s

Accuracy

0% (4.0b remaining)

Error of 12.1b against oracle of 8.1b and baseline of 12.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	28
1	41	28

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s

18960×

body

valid