Details

Time bar (total: 14.6s)

sample26.0ms

Algorithm
intervals
Results
10.0ms273×body80valid

simplify611.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.6b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (/ (- z t) (- z a))))
0.0b
(/ (- z t) (- z a))
1.5b
(* y (/ (- z t) (- z a)))

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
71×*-un-lft-identity
51×times-frac
31×associate-*r*
27×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×flip3-- associate-*l* flip--
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 → 113
Calls
3 calls:
10.0ms
(+ x (* y (/ (- z t) (- z a))))
36.0ms
(/ (- z t) (- z a))
80.0ms
(* y (/ (- z t) (- z a)))

series256.0ms

Counts
3 → 9
Calls
3 calls:
92.0ms
(+ x (* y (/ (- z t) (- z a))))
65.0ms
(/ (- z t) (- z a))
99.0ms
(* y (/ (- z t) (- z a)))

simplify634.0ms

Counts
122 → 122

prune319.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y (/ 1 (/ (- z a) (- z t)))))
0.0b
(/ (- z a) (- z t))
0.3b
(/ 1 (/ (- z a) (- z t)))
1.5b
(* y (/ 1 (/ (- z a) (- z t))))

rewrite241.0ms

Algorithm
rewrite-expression-head
Rules
392×times-frac
336×add-sqr-sqrt
324×*-un-lft-identity
158×add-cube-cbrt
98×associate-*r*
82×distribute-lft-out-- difference-of-squares
36×add-exp-log associate-/r*
20×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
9×flip3-- flip--
8×associate-/l*
7×pow1 cbrt-undiv prod-exp
6×add-log-exp
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*l* cbrt-unprod
2×frac-2neg clear-num associate-/l/
1×+-commutative pow-flip flip3-+ div-sub associate-*r/ pow-prod-down sum-log un-div-inv *-commutative flip-+ inv-pow
Counts
4 → 338
Calls
4 calls:
9.0ms
(+ x (* y (/ 1 (/ (- z a) (- z t)))))
41.0ms
(/ (- z a) (- z t))
44.0ms
(/ 1 (/ (- z a) (- z t)))
108.0ms
(* y (/ 1 (/ (- z a) (- z t))))

series471.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(+ x (* y (/ 1 (/ (- z a) (- z t)))))
67.0ms
(/ (- z a) (- z t))
133.0ms
(/ 1 (/ (- z a) (- z t)))
160.0ms
(* y (/ 1 (/ (- z a) (- z t))))

simplify1.6s

Counts
350 → 350

prune850.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* 1 (/ y (/ (- z a) (- z t)))))
0.0b
(/ (- z a) (- z t))
1.7b
(/ y (/ (- z a) (- z t)))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
196×*-un-lft-identity
195×add-sqr-sqrt
91×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
10×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num associate-/l/
1×+-commutative flip3-+ div-sub sum-log flip-+ distribute-lft-out
Counts
3 → 206
Calls
3 calls:
7.0ms
(+ x (* 1 (/ y (/ (- z a) (- z t)))))
29.0ms
(/ (- z a) (- z t))
26.0ms
(/ y (/ (- z a) (- z t)))

series303.0ms

Counts
3 → 9
Calls
3 calls:
120.0ms
(+ x (* 1 (/ y (/ (- z a) (- z t)))))
53.0ms
(/ (- z a) (- z t))
129.0ms
(/ y (/ (- z a) (- z t)))

simplify1.2s

Counts
215 → 215

prune748.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
1.4b
(* (* (* (cbrt y) (cbrt y)) (* (cbrt (- z t)) (cbrt (- z t)))) (/ (cbrt y) (/ (- z a) (cbrt (- z t)))))

rewrite485.0ms

Algorithm
rewrite-expression-head
Rules
516×times-frac
370×add-sqr-sqrt *-un-lft-identity
297×cbrt-prod
281×associate-*r*
214×add-cube-cbrt
78×distribute-lft-out-- difference-of-squares
73×add-exp-log
39×prod-exp cbrt-unprod
36×cbrt-div
34×add-cbrt-cube
22×pow1
21×associate-*r/
18×flip3-- flip--
16×frac-times
15×cbrt-undiv div-exp
13×pow-prod-down associate-/r/
12×associate-*l/
7×div-inv
4×add-log-exp
3×pow1/3
1×associate-*l* *-commutative
Counts
4 → 375
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
438.0ms
(* (* (* (cbrt y) (cbrt y)) (* (cbrt (- z t)) (cbrt (- z t)))) (/ (cbrt y) (/ (- z a) (cbrt (- z t)))))

series939.0ms

Counts
4 → 12
Calls
4 calls:
243.0ms
(cbrt y)
297.0ms
(cbrt y)
284.0ms
(cbrt y)
114.0ms
(* (* (* (cbrt y) (cbrt y)) (* (cbrt (- z t)) (cbrt (- z t)))) (/ (cbrt y) (/ (- z a) (cbrt (- z t)))))

simplify890.0ms

Counts
387 → 387

prune2.0s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes260.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch39.0ms

Steps
ItersRangePoint
5
4.009934550462515e+119
1.5606698514481857e+120
1.287048790828237e+120

simplify1.0s

end0.0ms

sample1.4s

Algorithm
intervals
Results
511.0ms8720×body80valid
0.0ms2×body320valid