Details

sample122.0ms

Algorithm

intervals

Results

86.0ms

617×

body

valid

simplify79.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.7b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* c z) (* i a))
4.4b	(* j (- (* c t) (* i y)))
5.0b	(* b (- (* c z) (* i a)))
6.2b	(* x (- (* y z) (* t a)))

rewrite34.0ms

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

series235.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (* c z) (* i a))
64.0ms	(* j (- (* c t) (* i y)))
66.0ms	(* b (- (* c z) (* i a)))
68.0ms	(* x (- (* y z) (* t a)))

simplify50.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	425	552
1	1771	485
2	5002	485

prune416.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 8.6b

localize26.0ms

Local error

Found 4 expressions with local error:

6.1b	(cbrt (* b (- (* c z) (* i a))))
6.1b	(cbrt (* b (- (* c z) (* i a))))
6.1b	(cbrt (* b (- (* c z) (* i a))))
6.2b	(* x (- (* y z) (* t a)))

rewrite23.0ms

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

series474.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(cbrt (* b (- (* c z) (* i a))))
138.0ms	(cbrt (* b (- (* c z) (* i a))))
134.0ms	(cbrt (* b (- (* c z) (* i a))))
69.0ms	(* x (- (* y z) (* t a)))

simplify105.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (98.0ms)

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

prune442.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 8.6b

localize28.0ms

Local error

Found 4 expressions with local error:

6.1b	(cbrt (* b (- (* c z) (* i a))))
6.1b	(cbrt (* b (- (* c z) (* i a))))
6.2b	(* x (- (* y z) (* t a)))
6.3b	(cbrt (- (* c z) (* i a)))

rewrite23.0ms

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 (* b (- (* c z) (* i a))))
4.0ms	(cbrt (* b (- (* c z) (* i a))))
12.0ms	(* x (- (* y z) (* t a)))
2.0ms	(cbrt (- (* c z) (* i a)))

series455.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(cbrt (* b (- (* c z) (* i a))))
134.0ms	(cbrt (* b (- (* c z) (* i a))))
68.0ms	(* x (- (* y z) (* t a)))
115.0ms	(cbrt (- (* c z) (* i a)))

simplify113.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	387	558
1	1287	507
2	4671	493
3	5001	493

prune512.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 8.6b

localize39.0ms

Local error

Found 4 expressions with local error:

6.1b	(cbrt (* b (- (* c z) (* i a))))
6.1b	(cbrt (* b (- (* c z) (* i a))))
6.2b	(* x (- (* y z) (* t a)))
6.3b	(cbrt (- (* 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 (* b (- (* c z) (* i a))))
4.0ms	(cbrt (* b (- (* c z) (* i a))))
10.0ms	(* x (- (* y z) (* t a)))
2.0ms	(cbrt (- (* c z) (* i a)))

series459.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(cbrt (* b (- (* c z) (* i a))))
136.0ms	(cbrt (* b (- (* c z) (* i a))))
68.0ms	(* x (- (* y z) (* t a)))
115.0ms	(cbrt (- (* c z) (* i a)))

simplify112.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	387	558
1	1287	507
2	4671	493
3	5001	493

prune468.0ms

Pruning

23 alts after pruning (21 fresh and 2 done)

Merged error: 8.6b

regimes1.2s

Accuracy

2.6% (4.0b remaining)

Error of 12.2b against oracle of 8.3b and baseline of 12.3b

bsearch215.0ms

Steps

Iters	Range		Point
10	1.3052177360121891e-200	6.571673569596265e-191	3.53550443557556e-198
5	-1.3253154686313252e-175	-5.60083851644097e-176	-5.6638058677896054e-176

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	55
1	67	55
2	67	55

end0.0ms

sample3.5s

Algorithm

intervals

Results

2.6s

19044×

body

valid