Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

334×

body

valid

simplify23.0ms

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

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (* x (+ 0.253 (* x 0.12))))
0.0b	(+ 0.253 (* x 0.12))
0.1b	(* x (+ 0.253 (* x 0.12)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 47

Calls

3 calls:

2.0ms	(- 1.0 (* x (+ 0.253 (* x 0.12))))
2.0ms	(+ 0.253 (* x 0.12))
5.0ms	(* x (+ 0.253 (* x 0.12)))

series163.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(- 1.0 (* x (+ 0.253 (* x 0.12))))
40.0ms	(+ 0.253 (* x 0.12))
87.0ms	(* x (+ 0.253 (* x 0.12)))

simplify34.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	226	274
1	991	253
2	5002	253

prune163.0ms

Filtered

56 candidates to 39 candidates (30.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	48	8	56
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	9	57

Merged error: 0.0b

Counts

57 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* x (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))) (cbrt (+ 0.253 (* x 0.12))))
0.8b	(cbrt (+ 0.253 (* x 0.12)))
0.8b	(cbrt (+ 0.253 (* x 0.12)))
0.8b	(cbrt (+ 0.253 (* x 0.12)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
32×	`associate-*r/`
30×	`flip3-+` `flip-+`
28×	`frac-times`
14×	`associate-*l/`
13×	`pow1` `add-exp-log`
12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`add-cbrt-cube`
6×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow1/3`
1×	`associate-l` `*-commutative`

Counts

4 → 89

Calls

4 calls:

20.0ms	(* (* x (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))) (cbrt (+ 0.253 (* x 0.12))))
4.0ms	(cbrt (+ 0.253 (* x 0.12)))
8.0ms	(cbrt (+ 0.253 (* x 0.12)))
4.0ms	(cbrt (+ 0.253 (* x 0.12)))

series546.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(* (* x (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))) (cbrt (+ 0.253 (* x 0.12))))
155.0ms	(cbrt (+ 0.253 (* x 0.12)))
154.0ms	(cbrt (+ 0.253 (* x 0.12)))
156.0ms	(cbrt (+ 0.253 (* x 0.12)))

simplify58.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	527	1629
1	1893	1476
2	5001	1331

prune517.0ms

Filtered

101 candidates to 70 candidates (30.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	100	10	110

Merged error: 0b

Counts

110 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (* x (+ 0.253 (* x 0.12)))) (cbrt (* x (+ 0.253 (* x 0.12)))))
0.7b	(cbrt (* x (+ 0.253 (* x 0.12))))
0.7b	(cbrt (* x (+ 0.253 (* x 0.12))))
0.7b	(cbrt (* x (+ 0.253 (* x 0.12))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

6.0ms	(* (cbrt (* x (+ 0.253 (* x 0.12)))) (cbrt (* x (+ 0.253 (* x 0.12)))))
4.0ms	(cbrt (* x (+ 0.253 (* x 0.12))))
4.0ms	(cbrt (* x (+ 0.253 (* x 0.12))))
4.0ms	(cbrt (* x (+ 0.253 (* x 0.12))))

series706.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(* (cbrt (* x (+ 0.253 (* x 0.12)))) (cbrt (* x (+ 0.253 (* x 0.12)))))
170.0ms	(cbrt (* x (+ 0.253 (* x 0.12))))
162.0ms	(cbrt (* x (+ 0.253 (* x 0.12))))
164.0ms	(cbrt (* x (+ 0.253 (* x 0.12))))

simplify50.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	474	1148
1	1827	1083
2	5001	902

prune724.0ms

Filtered

84 candidates to 67 candidates (20.2%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	84	10	94

Merged error: 0b

Counts

94 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 0.253 (* x 0.12))
0.3b	(* (* x 0.12) (* x 0.12))
0.4b	(* x (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))
6.1b	(/ (* x (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))) (- 0.253 (* x 0.12)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

45×	`pow1`
23×	`add-exp-log` `add-cbrt-cube`
18×	`pow-prod-down`
10×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
5×	`associate-r`
4×	`flip3--` `associate-r/` `associate-l*` `pow-sqr` `pow-prod-up` `flip--`
3×	`sub-neg` `times-frac` `associate-/r*`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `div-exp` `associate-/r/` `*-commutative` `associate-/l/`
1×	`pow2` `frac-2neg` `diff-log` `swap-sqr` `clear-num` `div-inv` `associate-/l*` `difference-of-squares` `unswap-sqr`

Counts

4 → 96

Calls

4 calls:

3.0ms	(- 0.253 (* x 0.12))
6.0ms	(* (* x 0.12) (* x 0.12))
6.0ms	(* x (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))
9.0ms	(/ (* x (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))) (- 0.253 (* x 0.12)))

series391.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- 0.253 (* x 0.12))
31.0ms	(* (* x 0.12) (* x 0.12))
112.0ms	(* x (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))
205.0ms	(/ (* x (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))) (- 0.253 (* x 0.12)))

simplify69.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	384	704
1	2141	579
2	5001	579

prune369.0ms

Filtered

108 candidates to 60 candidates (44.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	106	2	108
Fresh	2	4	6
Picked	1	0	1
Done	1	2	3
Total	110	8	118

Merged error: 0b

Counts

118 → 8

regimes134.0ms

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

sample393.0ms

Algorithm

intervals

Results

229.0ms

10665×

body

valid

Details

sample17.0ms

simplify23.0ms

prune3.0ms

localize5.0ms

rewrite11.0ms

series163.0ms

simplify34.0ms

prune163.0ms

localize18.0ms

rewrite40.0ms

series546.0ms

simplify58.0ms

prune517.0ms

localize10.0ms

rewrite19.0ms

series706.0ms

simplify50.0ms

prune724.0ms

localize13.0ms

rewrite26.0ms

series391.0ms

simplify69.0ms

prune369.0ms

regimes134.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample393.0ms

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