Details

sample76.0ms

Algorithm

intervals

Results

40.0ms

600×

body

valid

simplify76.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 12.5b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* c t) (* i y))
4.2b	(* j (- (* c t) (* i y)))
4.9b	(* x (- (* y z) (* t a)))
7.1b	(* b (- (* c z) (* i a)))

rewrite36.0ms

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 t) (* i y))
10.0ms	(* j (- (* c t) (* i y)))
10.0ms	(* x (- (* y z) (* t a)))
12.0ms	(* b (- (* c z) (* i a)))

series232.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- (* c t) (* i y))
66.0ms	(* j (- (* c t) (* i y)))
64.0ms	(* x (- (* y z) (* t a)))
66.0ms	(* b (- (* c z) (* i a)))

simplify52.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	424	552
1	1770	485
2	5001	485

prune409.0ms

Filtered

96 candidates to 63 candidates (65.6%)

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 7.4b

localize24.0ms

Local error

Found 4 expressions with local error:

5.5b	(cbrt (- (* c t) (* i y)))
5.5b	(cbrt (- (* c t) (* i y)))
5.5b	(cbrt (- (* c t) (* i y)))
7.1b	(* b (- (* c z) (* i a)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

2.0ms	(cbrt (- (* c t) (* i y)))
4.0ms	(cbrt (- (* c t) (* i y)))
2.0ms	(cbrt (- (* c t) (* i y)))
10.0ms	(* b (- (* c z) (* i a)))

series407.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(cbrt (- (* c t) (* i y)))
113.0ms	(cbrt (- (* c t) (* i y)))
117.0ms	(cbrt (- (* c t) (* i y)))
64.0ms	(* b (- (* c z) (* i a)))

simplify100.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (93.0ms)

Iter	Nodes	Cost
0	313	590
1	1049	543
2	3716	525
3	5002	519

prune460.0ms

Filtered

75 candidates to 59 candidates (78.7%)

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 7.4b

localize25.0ms

Local error

Found 4 expressions with local error:

5.0b	(cbrt (* x (- (* y z) (* t a))))
5.0b	(cbrt (* x (- (* y z) (* t a))))
5.0b	(cbrt (* x (- (* y z) (* t a))))
7.1b	(* b (- (* c z) (* i a)))

rewrite24.0ms

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 (* x (- (* y z) (* t a))))
4.0ms	(cbrt (* x (- (* y z) (* t a))))
4.0ms	(cbrt (* x (- (* y z) (* t a))))
12.0ms	(* b (- (* c z) (* i a)))

series465.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(cbrt (* x (- (* y z) (* t a))))
132.0ms	(cbrt (* x (- (* y z) (* t a))))
135.0ms	(cbrt (* x (- (* y z) (* t a))))
63.0ms	(* b (- (* c z) (* i a)))

simplify104.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	312	542
1	1097	489
2	4133	480
3	5001	477

prune455.0ms

Filtered

69 candidates to 56 candidates (81.2%)

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 7.4b

localize28.0ms

Local error

Found 4 expressions with local error:

5.0b	(cbrt (* x (- (* y z) (* t a))))
5.0b	(cbrt (* x (- (* y z) (* t a))))
6.0b	(cbrt (- (* y z) (* t a)))
7.1b	(* b (- (* c z) (* i a)))

rewrite21.0ms

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:

4.0ms	(cbrt (* x (- (* y z) (* t a))))
4.0ms	(cbrt (* x (- (* y z) (* t a))))
2.0ms	(cbrt (- (* y z) (* t a)))
10.0ms	(* b (- (* c z) (* i a)))

series451.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(cbrt (* x (- (* y z) (* t a))))
139.0ms	(cbrt (* x (- (* y z) (* t a))))
113.0ms	(cbrt (- (* y z) (* t a)))
66.0ms	(* b (- (* c z) (* i a)))

simplify112.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	383	558
1	1276	507
2	4673	493
3	5001	493

prune420.0ms

Filtered

71 candidates to 58 candidates (81.7%)

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 7.4b

regimes1.3s

Accuracy

3.2% (3.8b remaining)

Error of 12.0b against oracle of 8.2b and baseline of 12.1b

bsearch161.0ms

Steps

Iters	Range		Point
8	1.3974835795321893e-179	7.47206155457566e-177	1.0943761154691478e-178
6	-1.8248262566526898e-239	-3.0690931173341274e-240	-1.5692136620466682e-239

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	63
1	63	63

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.2s

19172×

body

valid