Details

sample23.0ms

Algorithm

intervals

Results

8.0ms

346×

body

valid

simplify110.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	3
1	33	3
2	63	3
3	107	3
4	148	3
5	181	3
6	220	3
7	307	3
8	587	3
9	1181	3
10	2314	3
11	3738	3
12	5001	3
done	5001	3

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
6.5b	(* (/ x y) (- z t))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity` `prod-diff`
34×	`add-cube-cbrt`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
13×	`associate-l`
10×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`pow1` `sub-neg` `add-log-exp`
2×	`expm1-log1p-u` `frac-times` `flip3--` `associate-*r/` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `fma-def` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 98

Calls

2 calls:

19.0ms	(+ (* (/ x y) (- z t)) t)
30.0ms	(* (/ x y) (- z t))

series92.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ (* (/ x y) (- z t)) t)
57.0ms	(* (/ x y) (- z t))

simplify54.0ms

Counts

104 → 104

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	468	779
1	1866	547
2	5001	533
done	5001	533

prune225.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt z)
0.5b	(cbrt z)
0.7b	(fma (fma (- t) 1 t) (/ x y) t)
6.5b	(* (/ x y) (fma (* (cbrt z) (cbrt z)) (cbrt z) (- (* t 1))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-l`
10×	`times-frac`
9×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `cbrt-prod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `fma-udef`
2×	`pow1/3` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`

Counts

4 → 72

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
0.0ms	(fma (fma (- t) 1 t) (/ x y) t)
14.0ms	(* (/ x y) (fma (* (cbrt z) (cbrt z)) (cbrt z) (- (* t 1))))

series571.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt z)
176.0ms	(cbrt z)
45.0ms	(fma (fma (- t) 1 t) (/ x y) t)
175.0ms	(* (/ x y) (fma (* (cbrt z) (cbrt z)) (cbrt z) (- (* t 1))))

simplify120.0ms

Counts

84 → 84

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	256	603
1	993	497
2	4795	435
3	5001	435
done	5001	435

prune321.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (/ (- z t) y)) t)
0.0b	(/ (- z t) y)
5.4b	(* x (/ (- z t) y))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 94

Calls

3 calls:

15.0ms	(+ (* x (/ (- z t) y)) t)
16.0ms	(/ (- z t) y)
26.0ms	(* x (/ (- z t) y))

series114.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(+ (* x (/ (- z t) y)) t)
30.0ms	(/ (- z t) y)
48.0ms	(* x (/ (- z t) y))

simplify44.0ms

Counts

103 → 103

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	355	522
1	1429	488
2	5001	473
done	5001	473

prune215.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
1.0b	(* x (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt y) (cbrt y))))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

4.0ms	(cbrt (- z t))
4.0ms	(cbrt (- z t))
4.0ms	(cbrt (- z t))
56.0ms	(* x (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt y) (cbrt y))))

series629.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(cbrt (- z t))
145.0ms	(cbrt (- z t))
154.0ms	(cbrt (- z t))
178.0ms	(* x (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt y) (cbrt y))))

simplify51.0ms

Counts

95 → 95

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	444	801
1	1719	695
2	5002	653
done	5002	653

prune316.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes158.0ms

Accuracy

0% (2.1b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4
done	10	4

end0.0ms

sample618.0ms

Algorithm

intervals

Results

261.0ms

10903×

body

valid