Details

sample21.0ms

Algorithm

intervals

Results

8.0ms

277×

body

valid

simplify927.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	35	10
3	57	10
4	94	10
5	137	10
6	189	10
7	215	10
8	244	10
9	278	10
10	364	10
11	479	10
12	553	10
13	651	10
14	691	10
done	691	10

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.6b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
2.9b	(* y (/ (- z t) (- a t)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-sqr-sqrt`
72×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
28×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`expm1-log1p-u` `flip3--` `fma-def` `associate-l` `flip--` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 122

Calls

3 calls:

2.0ms	(+ x (* y (/ (- z t) (- a t))))
12.0ms	(/ (- z t) (- a t))
25.0ms	(* y (/ (- z t) (- a t)))

series196.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(+ x (* y (/ (- z t) (- a t))))
51.0ms	(/ (- z t) (- a t))
64.0ms	(* y (/ (- z t) (- a t)))

simplify1.7s

Counts

131 → 131

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	168	1615
1	434	1512
2	1169	1414
3	3836	1414
done	5001	1410

prune307.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

2.9b	(* y (/ (- z t) (- a t)))
6.1b	(cbrt (* y (/ (- z t) (- a t))))
6.1b	(cbrt (* y (/ (- z t) (- a t))))
6.1b	(cbrt (* y (/ (- z t) (- a t))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
31×	`associate-r`
26×	`times-frac`
16×	`add-cube-cbrt`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `cbrt-div` `pow1/3` `associate-l`
2×	`prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `flip3--` `div-exp` `pow-prod-down` `*-commutative` `flip--` `div-inv`

Counts

4 → 88

Calls

4 calls:

25.0ms	(* y (/ (- z t) (- a t)))
7.0ms	(cbrt (* y (/ (- z t) (- a t))))
9.0ms	(cbrt (* y (/ (- z t) (- a t))))
7.0ms	(cbrt (* y (/ (- z t) (- a t))))

series732.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* y (/ (- z t) (- a t)))
221.0ms	(cbrt (* y (/ (- z t) (- a t))))
221.0ms	(cbrt (* y (/ (- z t) (- a t))))
221.0ms	(cbrt (* y (/ (- z t) (- a t))))

simplify1.4s

Counts

100 → 100

Iterations

Useful iterations: 3 (512.0ms)

Iter	Nodes	Cost
0	147	1258
1	341	1204
2	950	1081
3	3166	1060
done	5000	1060

prune356.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (- a t))
0.0b	(+ x (* 1 (* (- z t) (/ y (- a t)))))
10.5b	(* (- z t) (/ y (- a t)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
31×	`times-frac`
24×	`add-cube-cbrt`
21×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-l` `associate-/r*` `add-log-exp`
4×	`flip3--` `associate-/r/` `flip--`
3×	`expm1-log1p-u` `fma-def` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `distribute-lft-out`

Counts

3 → 104

Calls

3 calls:

5.0ms	(/ y (- a t))
3.0ms	(+ x (* 1 (* (- z t) (/ y (- a t)))))
26.0ms	(* (- z t) (/ y (- a t)))

series165.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(/ y (- a t))
74.0ms	(+ x (* 1 (* (- z t) (/ y (- a t)))))
61.0ms	(* (- z t) (/ y (- a t)))

simplify920.0ms

Counts

113 → 113

Iterations

Useful iterations: 2 (157.0ms)

Iter	Nodes	Cost
0	164	1320
1	394	1203
2	1388	1112
done	5002	1112

prune286.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* 1 (/ (* (- z t) y) (- a t))))
0.0b	(* (- z t) y)
13.0b	(/ (* (- z t) y) (- a t))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
8×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-l` `associate-/r*` `add-log-exp`
4×	`associate-*l/`
3×	`expm1-log1p-u` `flip3--` `fma-def` `associate-r` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 72

Calls

3 calls:

3.0ms	(+ x (* 1 (/ (* (- z t) y) (- a t))))
10.0ms	(* (- z t) y)
9.0ms	(/ (* (- z t) y) (- a t))

series164.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(+ x (* 1 (/ (* (- z t) y) (- a t))))
28.0ms	(* (- z t) y)
64.0ms	(/ (* (- z t) y) (- a t))

simplify966.0ms

Counts

81 → 81

Iterations

Useful iterations: 2 (156.0ms)

Iter	Nodes	Cost
0	134	908
1	358	817
2	1323	739
done	5001	739

prune196.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes230.0ms

Accuracy

72% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.4b

bsearch84.0ms

Steps

Iters	Range		Point
10	7.718438273946194e-67	3.717778876106761e-57	1.5536369793631163e-59
8	-0.45524636210937885	-2.6144342760244743e-05	-0.0008842112394086992

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	21	43
1	31	31
done	31	31

end0.0ms

sample527.0ms

Algorithm

intervals

Results

267.0ms

8723×

body

valid