Details

sample127.0ms

Algorithm

intervals

Results

89.0ms

629×

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.5b

localize21.0ms

Local error

Found 4 expressions with local error:

0.4b	(- (* y z) (* t a))
4.4b	(* j (- (* c t) (* i y)))
5.6b	(* b (- (* c z) (* i a)))
7.2b	(* x (- (* y z) (* t a)))

rewrite33.0ms

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

series235.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- (* y z) (* t a))
63.0ms	(* 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

prune384.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 9.5b

localize29.0ms

Local error

Found 4 expressions with local error:

5.6b	(* b (- (* c z) (* i a)))
7.2b	(* x (- (* y z) (* t a)))
7.2b	(* x (- (* y z) (* t a)))
7.2b	(* x (- (* y z) (* t a)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

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

series264.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* b (- (* c z) (* i a)))
63.0ms	(* x (- (* y z) (* t a)))
68.0ms	(* x (- (* y z) (* t a)))
67.0ms	(* x (- (* y z) (* t a)))

simplify118.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	275	632
1	1140	552
2	4596	552
3	5001	552

prune491.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 9.5b

localize32.0ms

Local error

Found 4 expressions with local error:

7.2b	(* x (- (* y z) (* t a)))
8.4b	(cbrt (- (* y z) (* t a)))
8.4b	(cbrt (- (* y z) (* t a)))
8.4b	(cbrt (- (* y z) (* t a)))

rewrite17.0ms

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:

9.0ms	(* x (- (* y z) (* t a)))
2.0ms	(cbrt (- (* y z) (* t a)))
2.0ms	(cbrt (- (* y z) (* t a)))
2.0ms	(cbrt (- (* y z) (* t a)))

series402.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* x (- (* y z) (* t a)))
110.0ms	(cbrt (- (* y z) (* t a)))
110.0ms	(cbrt (- (* y z) (* t a)))
115.0ms	(cbrt (- (* y z) (* t a)))

simplify86.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (79.0ms)

Iter	Nodes	Cost
0	266	590
1	898	543
2	3210	525
3	5002	519

prune526.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 9.5b

localize31.0ms

Local error

Found 4 expressions with local error:

4.9b	(cbrt (* x (- (* y z) (* t a))))
5.6b	(* b (- (* c z) (* i a)))
7.2b	(* x (- (* y z) (* t a)))
7.2b	(* x (- (* y z) (* t 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`
8×	`associate-*r/`
6×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
4×	`flip3--` `flip--` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`cbrt-div`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 83

Calls

4 calls:

4.0ms	(cbrt (* x (- (* y z) (* t a))))
12.0ms	(* b (- (* c z) (* i a)))
9.0ms	(* x (- (* y z) (* t a)))
10.0ms	(* x (- (* y z) (* t a)))

series328.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(cbrt (* x (- (* y z) (* t a))))
66.0ms	(* b (- (* c z) (* i a)))
67.0ms	(* x (- (* y z) (* t a)))
62.0ms	(* x (- (* y z) (* t a)))

simplify44.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	387	602
1	1474	531
2	5001	528

prune479.0ms

Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 9.5b

regimes994.0ms

Accuracy

5.2% (3.7b remaining)

Error of 12.1b against oracle of 8.4b and baseline of 12.3b

bsearch214.0ms

Steps

Iters	Range		Point
7	1.210332682107928e-241	2.085994714226607e-240	2.3948846922465744e-241
7	-3.6463023731387246e-284	-1.2330685462834075e-285	-1.4986631122414473e-284

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	48
1	57	48

end0.0ms

sample3.5s

Algorithm

intervals

Results

2.6s

18700×

body

valid