Details

sample75.0ms

Algorithm

intervals

Results

39.0ms

636×

body

valid

simplify75.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.8b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* y z) (* t a))
3.7b	(* j (- (* c t) (* i y)))
5.2b	(* b (- (* c z) (* i a)))
6.1b	(* x (- (* y z) (* t a)))

rewrite22.0ms

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:

3.0ms	(- (* y z) (* t a))
6.0ms	(* j (- (* c t) (* i y)))
6.0ms	(* b (- (* c z) (* i a)))
6.0ms	(* x (- (* y z) (* t a)))

series237.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- (* y z) (* t a))
66.0ms	(* j (- (* c t) (* i y)))
62.0ms	(* b (- (* c z) (* i a)))
69.0ms	(* x (- (* y z) (* t a)))

simplify48.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (10.0ms)

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

prune394.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 7.5b

localize27.0ms

Local error

Found 4 expressions with local error:

4.8b	(cbrt (- (* c t) (* i y)))
4.8b	(cbrt (- (* c t) (* i y)))
5.2b	(* b (- (* c z) (* i a)))
6.1b	(* x (- (* y z) (* t a)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

3.0ms	(cbrt (- (* c t) (* i y)))
3.0ms	(cbrt (- (* c t) (* i y)))
6.0ms	(* b (- (* c z) (* i a)))
6.0ms	(* x (- (* y z) (* t a)))

series360.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(cbrt (- (* c t) (* i y)))
114.0ms	(cbrt (- (* c t) (* i y)))
67.0ms	(* b (- (* c z) (* i a)))
64.0ms	(* x (- (* y z) (* t a)))

simplify46.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	439	604
1	1595	546
2	5002	534

prune467.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 7.5b

localize24.0ms

Local error

Found 4 expressions with local error:

1.7b	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
2.3b	(* (cbrt j) (- (* c t) (* i y)))
5.2b	(* b (- (* c z) (* i a)))
6.1b	(* x (- (* y z) (* t a)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1` `add-exp-log`
19×	`add-sqr-sqrt`
15×	`add-cbrt-cube`
14×	`distribute-rgt-in` `distribute-lft-in`
13×	`associate-l`
11×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`sub-neg` `associate-r/` `associate-r*`
4×	`cbrt-prod` `flip3--` `*-commutative` `flip--` `add-log-exp` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

11.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
7.0ms	(* (cbrt j) (- (* c t) (* i y)))
6.0ms	(* b (- (* c z) (* i a)))
6.0ms	(* x (- (* y z) (* t a)))

series500.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
272.0ms	(* (cbrt j) (- (* c t) (* i y)))
66.0ms	(* b (- (* c z) (* i a)))
62.0ms	(* x (- (* y z) (* t a)))

simplify79.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	576	966
1	2593	762
2	5001	699

prune529.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 6.6b

localize28.0ms

Local error

Found 4 expressions with local error:

6.1b	(* x (- (* y z) (* t a)))
6.4b	(cbrt (* b (- (* c z) (* i a))))
6.4b	(cbrt (* b (- (* c z) (* i a))))
6.4b	(cbrt (* b (- (* c z) (* i a))))

rewrite21.0ms

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:

6.0ms	(* x (- (* y z) (* t a)))
4.0ms	(cbrt (* b (- (* c z) (* i a))))
4.0ms	(cbrt (* b (- (* c z) (* i a))))
4.0ms	(cbrt (* b (- (* c z) (* i a))))

series473.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* x (- (* y z) (* t a)))
132.0ms	(cbrt (* b (- (* c z) (* i a))))
139.0ms	(cbrt (* b (- (* c z) (* i a))))
133.0ms	(cbrt (* b (- (* c z) (* i a))))

simplify111.0ms

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

prune361.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 6.6b

regimes1.2s

Accuracy

12% (4.5b remaining)

Error of 11.7b against oracle of 7.2b and baseline of 12.3b

bsearch248.0ms

Steps

Iters	Range		Point
7	7.272439542418074e+187	4.874627788589809e+189	2.506697016203761e+189
9	-2.2051350711552908e+129	-4.0916575316509278e+121	-4.775026451199798e+121

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	67
1	80	67
2	89	67
3	89	67

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s

19058×

body

valid