Details

sample34.0ms

Algorithm

intervals

Results

15.0ms

332×

body

valid

simplify1.5s

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
7.6b	(* (/ x y) (- z t))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 57

Calls

2 calls:

23.0ms	(+ (* (/ x y) (- z t)) t)
29.0ms	(* (/ x y) (- z t))

series120.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(+ (* (/ x y) (- z t)) t)
75.0ms	(* (/ x y) (- z t))

simplify502.0ms

Counts: 63 → 63

prune135.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* (/ x y) z) (* (/ x y) (- t))) t)
0.0b	(+ (* (/ x y) z) (* (/ x y) (- t)))
4.9b	(* (/ x y) (- t))
5.9b	(* (/ x y) z)

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
26×	`associate-l`
24×	`*-un-lft-identity`
22×	`add-cube-cbrt`
20×	`times-frac`
14×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
11×	`add-log-exp`
8×	`pow1`
5×	`distribute-rgt-neg-out`
4×	`associate-*l/` `prod-exp` `sum-log` `cbrt-unprod` `unswap-sqr`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`cbrt-undiv` `+-commutative` `associate-+l-` `flip3-+` `div-exp` `unsub-neg` `pow-prod-down` `*-commutative` `flip-+` `div-inv` `distribute-lft-out`
1×	`neg-mul-1` `associate-+l+` `frac-add`

Counts

4 → 103

Calls

4 calls:

77.0ms	(+ (+ (* (/ x y) z) (* (/ x y) (- t))) t)
13.0ms	(+ (* (/ x y) z) (* (/ x y) (- t)))
26.0ms	(* (/ x y) (- t))
26.0ms	(* (/ x y) z)

series170.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(+ (+ (* (/ x y) z) (* (/ x y) (- t))) t)
65.0ms	(+ (* (/ x y) z) (* (/ x y) (- t)))
25.0ms	(* (/ x y) (- t))
24.0ms	(* (/ x y) z)

simplify938.0ms

Counts: 115 → 115

prune350.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

5.9b	(* (/ x y) z)
15.8b	(cbrt (* (/ x y) z))
15.8b	(cbrt (* (/ x y) z))
15.8b	(cbrt (* (/ x y) z))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-l`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`times-frac`
9×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
4×	`associate-*l/` `add-log-exp`
3×	`cbrt-prod` `cbrt-div` `pow1/3` `associate-r`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv`

Counts

4 → 62

Calls

4 calls:

27.0ms	(* (/ x y) z)
7.0ms	(cbrt (* (/ x y) z))
6.0ms	(cbrt (* (/ x y) z))
6.0ms	(cbrt (* (/ x y) z))

series378.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (/ x y) z)
123.0ms	(cbrt (* (/ x y) z))
121.0ms	(cbrt (* (/ x y) z))
97.0ms	(cbrt (* (/ x y) z))

simplify890.0ms

Counts: 74 → 74

prune292.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* x (- z t)) y) t)
0.0b	(* x (- z t))
4.5b	(/ (* x (- z t)) y)

rewrite70.0ms

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-r` `add-log-exp`
4×	`associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `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 → 61

Calls

3 calls:

20.0ms	(+ (/ (* x (- z t)) y) t)
23.0ms	(* x (- z t))
25.0ms	(/ (* x (- z t)) y)

series166.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(+ (/ (* x (- z t)) y) t)
46.0ms	(* x (- z t))
58.0ms	(/ (* x (- z t)) y)

simplify504.0ms

Counts: 70 → 70

prune125.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes109.0ms

Accuracy

-210.9% (6.2b remaining)

Error of 6.3b against oracle of 0.0b and baseline of 2.0b

bsearch72.0ms

Steps

Iters	Range		Point
6	2.5683377852221176e+23	2.856199016527335e+24	2.6094425953641534e+23
9	-6.931030792289142e-238	-6.342405649563216e-247	-1.0788925605168588e-242

simplify509.0ms

end0.0ms

sample1.1s

Algorithm

intervals

Results

529.0ms

10667×

body

valid