Details

sample88.0ms

Algorithm

intervals

Results

48.0ms

472×

body

valid

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	19	13
2	50	13
3	159	13
4	298	13
5	384	13
6	392	13
7	463	13
8	620	13
9	632	13
done	632	13

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.1b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* z z) t)
4.8b	(* (* y 4.0) (- (* z z) t))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 38

Calls

2 calls:

12.0ms	(- (* z z) t)
43.0ms	(* (* y 4.0) (- (* z z) t))

series118.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(- (* z z) t)
94.0ms	(* (* y 4.0) (- (* z z) t))

simplify3.0s

Counts

44 → 44

Iterations

Useful iterations: 2 (423.0ms)

Iter	Nodes	Cost
0	76	489
1	209	477
2	748	393
3	2880	393
done	5002	393

prune186.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* z z) t)
4.8b	(* y (* (- (* z z) t) 4.0))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `associate-r/` `associate-l/` `flip--`
1×	`sub-neg` `diff-log` `associate-r` `*-commutative` `difference-of-squares`

Counts

2 → 33

Calls

2 calls:

12.0ms	(- (* z z) t)
83.0ms	(* y (* (- (* z z) t) 4.0))

series111.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(- (* z z) t)
79.0ms	(* y (* (- (* z z) t) 4.0))

simplify1.5s

Counts

39 → 39

Iterations

Useful iterations: 2 (99.0ms)

Iter	Nodes	Cost
0	73	426
1	183	416
2	576	332
3	2517	332
done	5000	332

prune104.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.0b

localize20.0ms

Local error

Found 4 expressions with local error:

3.4b	(cbrt (* y (* (- (* z z) t) 4.0)))
4.8b	(* y (* (- (* z z) t) 4.0))
4.8b	(* y (* (- (* z z) t) 4.0))
4.8b	(* y (* (- (* z z) t) 4.0))

rewrite276.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`associate-r/` `associate-l/`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`flip3--` `flip--` `add-log-exp`
3×	`associate-r` `*-commutative`
2×	`cbrt-div`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 71

Calls

4 calls:

58.0ms	(cbrt (* y (* (- (* z z) t) 4.0)))
77.0ms	(* y (* (- (* z z) t) 4.0))
63.0ms	(* y (* (- (* z z) t) 4.0))
74.0ms	(* y (* (- (* z z) t) 4.0))

series440.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(cbrt (* y (* (- (* z z) t) 4.0)))
78.0ms	(* y (* (- (* z z) t) 4.0))
81.0ms	(* y (* (- (* z z) t) 4.0))
75.0ms	(* y (* (- (* z z) t) 4.0))

simplify1.7s

Counts

83 → 83

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	104	1092
1	256	1067
2	739	844
3	2917	836
done	5001	829

prune315.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.0b

localize41.0ms

Local error

Found 4 expressions with local error:

3.4b	(cbrt (* y (* (- (* z z) t) 4.0)))
3.6b	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* (- (* z z) t) 4.0)))
4.8b	(* y (* (- (* z z) t) 4.0))
4.8b	(* y (* (- (* z z) t) 4.0))

rewrite339.0ms

Algorithm

rewrite-expression-head

Rules

35×	`pow1` `add-exp-log`
25×	`add-cbrt-cube`
21×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`associate-*r/`
8×	`associate-*l/`
7×	`associate-l`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`flip3--` `flip--` `add-log-exp`
3×	`associate-r` `*-commutative`
2×	`cbrt-div`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 81

Calls

4 calls:

36.0ms	(cbrt (* y (* (- (* z z) t) 4.0)))
175.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* (- (* z z) t) 4.0)))
68.0ms	(* y (* (- (* z z) t) 4.0))
56.0ms	(* y (* (- (* z z) t) 4.0))

series512.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(cbrt (* y (* (- (* z z) t) 4.0)))
131.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* (- (* z z) t) 4.0)))
76.0ms	(* y (* (- (* z z) t) 4.0))
93.0ms	(* y (* (- (* z z) t) 4.0))

simplify1.5s

Counts

93 → 93

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	143	1505
1	374	1468
2	1320	1035
done	5001	935

prune385.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 2.0b

regimes606.0ms

Accuracy

82.7% (0.6b remaining)

Error of 3.1b against oracle of 2.5b and baseline of 6.0b

bsearch1.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	36
1	27	36
done	27	36

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.4s

15777×

body

valid