Details

sample38.0ms

Algorithm

intervals

Results

13.0ms

338×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
15	3796
14	2882
13	2263
12	1877
11	1443
10	945
9	605
8	444
7	281
6	139
5	99
4	70
3	46
2	26
1	14
0	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.7b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* (- y x) z) t))
0.0b	(* (- y x) z)
6.7b	(/ (* (- y x) z) t)

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

10.0ms	(+ x (/ (* (- y x) z) t))
22.0ms	(* (- y x) z)
26.0ms	(/ (* (- y x) z) t)

series140.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(+ x (/ (* (- y x) z) t))
38.0ms	(* (- y x) z)
61.0ms	(/ (* (- y x) z) t)

simplify1.1s

Counts

66 → 66

Iterations

Iter	Nodes
done	5000
2	1007
1	292
0	110

prune372.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (- y x) (/ t z)))
4.9b	(/ (- y x) (/ t z))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
88×	`*-un-lft-identity`
86×	`add-sqr-sqrt`
58×	`add-cube-cbrt`
14×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/r*`
7×	`add-cbrt-cube` `add-exp-log` `div-inv`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `div-sub` `associate-/l/`
1×	`+-commutative` `clear-num` `associate-+r-` `sum-log` `frac-2neg` `flip3-+` `flip3--` `associate-/r/` `flip-+` `flip--` `distribute-lft-out`

Counts

2 → 114

Calls

2 calls:

56.0ms	(+ x (/ (- y x) (/ t z)))
27.0ms	(/ (- y x) (/ t z))

series130.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(+ x (/ (- y x) (/ t z)))
71.0ms	(/ (- y x) (/ t z))

simplify1.4s

Counts

120 → 120

Iterations

Iter	Nodes
done	5003
2	1929
1	660
0	217

prune665.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
4.6b	(* (- y x) (/ z t))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
12×	`*-un-lft-identity`
10×	`times-frac` `add-cube-cbrt`
7×	`add-cbrt-cube` `add-exp-log`
5×	`associate-l`
4×	`pow1` `add-log-exp`
2×	`frac-times` `flip3--` `associate-*l/` `prod-exp` `cbrt-unprod` `flip--` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sum-log` `flip3-+` `div-exp` `pow-prod-down` `associate-r/` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 49

Calls

2 calls:

7.0ms	(+ x (* (- y x) (/ z t)))
24.0ms	(* (- y x) (/ z t))

series117.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(+ x (* (- y x) (/ z t)))
63.0ms	(* (- y x) (/ z t))

simplify2.2s

Counts

55 → 55

Iterations

Iter	Nodes
done	5000
3	4818
2	1043
1	308
0	115

prune245.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y x))
10.3b	(cbrt (/ t z))
10.3b	(cbrt (/ t z))
10.3b	(cbrt (/ t z))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

44×	`cbrt-prod`
28×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`times-frac`
26×	`add-cube-cbrt`
5×	`cbrt-div`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-log-exp`
3×	`div-inv`
1×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 81

Calls

4 calls:

5.0ms	(cbrt (- y x))
3.0ms	(cbrt (/ t z))
3.0ms	(cbrt (/ t z))
8.0ms	(cbrt (/ t z))

series392.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(cbrt (- y x))
71.0ms	(cbrt (/ t z))
86.0ms	(cbrt (/ t z))
80.0ms	(cbrt (/ t z))

simplify1.8s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
4	2966
3	1024
2	477
1	250
0	142

prune502.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes312.0ms

Accuracy

2.2% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 2.0b

bsearch111.0ms

Steps

Iters	Range		Point
9	-8.015230316116678e-235	-6.638878432570152e-242	-5.485219336659275e-236
7	-84463.33967257517	-806.1975761958196	-7160.27886158334

simplify5.0ms

Iterations

Iter	Nodes
done	29
1	29
0	23

end0.0ms

sample1.4s

Algorithm

intervals

Results

506.0ms

10566×

body

valid