Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

348×

body

valid

simplify25.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	4
1	41	4
2	69	4
3	90	4
4	105	4
5	147	4
6	226	4
7	368	4
8	415	4
9	415	4

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 0.253 (* x 0.12))
0.1b	(* x (+ 0.253 (* x 0.12)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

5.0ms	(+ 0.253 (* x 0.12))
15.0ms	(* x (+ 0.253 (* x 0.12)))

series87.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ 0.253 (* x 0.12))
59.0ms	(* x (+ 0.253 (* x 0.12)))

simplify109.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	166	173
1	767	154
2	4026	154
3	5002	154

prune66.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 0.12 x) 0.253)
0.1b	(* x (cbrt (pow (+ (* 0.12 x) 0.253) 3)))
0.2b	(pow (+ (* 0.12 x) 0.253) 3)
7.7b	(cbrt (pow (+ (* 0.12 x) 0.253) 3))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
24×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
10×	`unpow-prod-down` `cube-prod`
7×	`pow1` `add-exp-log`
6×	`cube-div` `add-cbrt-cube` `add-log-exp`
5×	`unswap-sqr`
4×	`cbrt-div` `flip3-+` `flip-+` `sqr-pow`
3×	`cube-mult` `pow-unpow` `unpow3` `associate-l`
2×	`associate-*r/`
1×	`+-commutative` `pow-to-exp` `pow-pow` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 95

Calls

4 calls:

7.0ms	(+ (* 0.12 x) 0.253)
47.0ms	(* x (cbrt (pow (+ (* 0.12 x) 0.253) 3)))
11.0ms	(pow (+ (* 0.12 x) 0.253) 3)
10.0ms	(cbrt (pow (+ (* 0.12 x) 0.253) 3))

series148.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ (* 0.12 x) 0.253)
58.0ms	(* x (cbrt (pow (+ (* 0.12 x) 0.253) 3)))
31.0ms	(pow (+ (* 0.12 x) 0.253) 3)
31.0ms	(cbrt (pow (+ (* 0.12 x) 0.253) 3))

simplify52.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	293	546
1	1420	516
2	5002	502

prune183.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ (* 0.12 x) 0.253) (+ (* 0.12 x) 0.253))
0.3b	(* (* x (cbrt (* (+ (* 0.12 x) 0.253) (+ (* 0.12 x) 0.253)))) (cbrt (+ (* 0.12 x) 0.253)))
0.9b	(cbrt (+ (* 0.12 x) 0.253))
1.2b	(cbrt (* (+ (* 0.12 x) 0.253) (+ (* 0.12 x) 0.253)))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

52×	`cbrt-div`
40×	`flip3-+` `flip-+`
36×	`frac-times` `associate-*r/`
18×	`associate-*l/`
16×	`pow1`
13×	`add-sqr-sqrt`
11×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity`
9×	`associate-r`
8×	`add-cbrt-cube`
7×	`cbrt-prod`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`swap-sqr`
2×	`pow1/3` `*-commutative`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow-sqr` `pow-prod-up` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

42.0ms	(* (+ (* 0.12 x) 0.253) (+ (* 0.12 x) 0.253))
79.0ms	(* (* x (cbrt (* (+ (* 0.12 x) 0.253) (+ (* 0.12 x) 0.253)))) (cbrt (+ (* 0.12 x) 0.253)))
5.0ms	(cbrt (+ (* 0.12 x) 0.253))
19.0ms	(cbrt (* (+ (* 0.12 x) 0.253) (+ (* 0.12 x) 0.253)))

series310.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (+ (* 0.12 x) 0.253) (+ (* 0.12 x) 0.253))
58.0ms	(* (* x (cbrt (* (+ (* 0.12 x) 0.253) (+ (* 0.12 x) 0.253)))) (cbrt (+ (* 0.12 x) 0.253)))
105.0ms	(cbrt (+ (* 0.12 x) 0.253))
127.0ms	(cbrt (* (+ (* 0.12 x) 0.253) (+ (* 0.12 x) 0.253)))

simplify85.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	754	1773
1	2932	1678
2	5003	1634

prune330.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.9b	(cbrt (+ (* 0.12 x) 0.253))
0.9b	(cbrt (+ (* 0.12 x) 0.253))
1.2b	(cbrt (* (cbrt (+ (* 0.12 x) 0.253)) (cbrt (+ (* 0.12 x) 0.253))))
1.2b	(cbrt (* (+ (* 0.12 x) 0.253) (+ (* 0.12 x) 0.253)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

32×	`cbrt-div`
14×	`flip3-+` `flip-+`
8×	`cbrt-prod` `frac-times`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `associate-r/` `associate-l/` `add-cbrt-cube` `add-log-exp`

Counts

4 → 60

Calls

4 calls:

5.0ms	(cbrt (+ (* 0.12 x) 0.253))
5.0ms	(cbrt (+ (* 0.12 x) 0.253))
18.0ms	(cbrt (* (cbrt (+ (* 0.12 x) 0.253)) (cbrt (+ (* 0.12 x) 0.253))))
16.0ms	(cbrt (* (+ (* 0.12 x) 0.253) (+ (* 0.12 x) 0.253)))

series481.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(cbrt (+ (* 0.12 x) 0.253))
112.0ms	(cbrt (+ (* 0.12 x) 0.253))
129.0ms	(cbrt (* (cbrt (+ (* 0.12 x) 0.253)) (cbrt (+ (* 0.12 x) 0.253))))
127.0ms	(cbrt (* (+ (* 0.12 x) 0.253) (+ (* 0.12 x) 0.253)))

simplify55.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	582	1064
1	1979	1016
2	5001	927

prune310.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes69.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample350.0ms

Algorithm

intervals

Results

203.0ms

10602×

body

valid