Details

sample40.0ms

Algorithm

intervals

Results

18.0ms

333×

body

valid

simplify158.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
6.0b	(* (- y x) (/ z t))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

14.0ms	(+ x (* (- y x) (/ z t)))
29.0ms	(* (- y x) (/ z t))

series172.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(+ x (* (- y x) (/ z t)))
101.0ms	(* (- y x) (/ z t))

simplify51.0ms

Counts: 55 → 55

prune166.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt z)
0.7b	(cbrt z)
0.7b	(cbrt z)
1.9b	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
2.0ms	(cbrt z)
114.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

series1.2s

Counts

4 → 12

Calls

4 calls:

304.0ms	(cbrt z)
326.0ms	(cbrt z)
320.0ms	(cbrt z)
221.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

simplify72.0ms

Counts: 81 → 81

prune436.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* (- y x) z) t))
0.0b	(* (- y x) z)
6.8b	(/ (* (- y x) z) t)

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `associate-l` `add-log-exp`
4×	`associate-*l/`
3×	`times-frac` `associate-r` `associate-/r*`
2×	`cbrt-undiv` `flip3--` `div-exp` `prod-exp` `flip--` `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` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 57

Calls

3 calls:

18.0ms	(+ x (/ (* (- y x) z) t))
41.0ms	(* (- y x) z)
33.0ms	(/ (* (- y x) z) t)

series176.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(+ x (/ (* (- y x) z) t))
55.0ms	(* (- y x) z)
62.0ms	(/ (* (- y x) z) t)

simplify48.0ms

Counts: 66 → 66

prune192.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (- y x) (/ t z)))
7.0b	(/ (- y x) (/ t z))

rewrite93.0ms

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-exp-log` `add-cbrt-cube` `div-inv`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `div-sub` `associate-/l/`
1×	`+-commutative` `associate-+r-` `flip3--` `frac-2neg` `flip3-+` `clear-num` `sum-log` `associate-/r/` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 114

Calls

2 calls:

61.0ms	(+ x (/ (- y x) (/ t z)))
27.0ms	(/ (- y x) (/ t z))

series120.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(+ x (/ (- y x) (/ t z)))
74.0ms	(/ (- y x) (/ t z))

simplify55.0ms

Counts: 120 → 120

prune392.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes166.0ms

Accuracy

2.6% (1.9b remaining)

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

bsearch196.0ms

Steps

Iters	Range		Point
10	3.199905289080001e+65	2.772849885831336e+75	4.428168098827568e+65
10	-1.2473818889599776e-275	-1.5517884706574405e-290	-3.542613364473471e-276

simplify26.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

616.0ms

10692×

body

valid