Details

Time bar (total: 18.2s)

sample34.0ms

Algorithm
intervals
Results
21.0ms329×body80valid

simplify5.6s

Counts
1 → 1
Iterations
IterNodes
done5001
112921
101184
9536
8314
7199
6167
5132
4100
361
233
115
08

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- z t)) t)
10.6b
(* (/ x y) (- z t))

rewrite43.0ms

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-cbrt-cube add-exp-log
5×associate-*r*
4×pow1 sub-neg add-log-exp
2×expm1-log1p-u frac-times flip3-- prod-exp associate-*r/ cbrt-unprod insert-posit16 log1p-expm1-u flip-- unswap-sqr
1×cbrt-undiv +-commutative sum-log fma-def flip3-+ div-exp pow-prod-down associate-*l/ *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 100
Calls
2 calls:
13.0ms
(+ (* (/ x y) (- z t)) t)
28.0ms
(* (/ x y) (- z t))

series114.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(+ (* (/ x y) (- z t)) t)
70.0ms
(* (/ x y) (- z t))

simplify1.5s

Counts
106 → 106
Iterations
IterNodes
done5001
21612
1499
0182

prune472.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x (- z t)) y) t)
0.0b
(* x (- z t))
3.7b
(/ (* x (- z t)) y)

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt *-un-lft-identity
21×add-cube-cbrt
18×prod-diff
11×distribute-rgt-in distribute-lft-in
10×add-cbrt-cube add-exp-log
7×fma-def
6×times-frac
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×expm1-log1p-u associate-/r* associate-*l* insert-posit16 log1p-expm1-u
2×cbrt-undiv sub-neg flip3-- div-exp prod-exp cbrt-unprod div-inv flip-- associate-/l/
1×+-commutative clear-num sum-log frac-2neg flip3-+ pow-prod-down *-commutative flip-+ distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 95
Calls
3 calls:
24.0ms
(+ (/ (* x (- z t)) y) t)
26.0ms
(* x (- z t))
21.0ms
(/ (* x (- z t)) y)

series185.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(+ (/ (* x (- z t)) y) t)
58.0ms
(* x (- z t))
74.0ms
(/ (* x (- z t)) y)

simplify2.3s

Counts
104 → 104
Iterations
IterNodes
done5000
34396
21178
1433
0172

prune347.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (+ (* z x) (* (- t) x)) y) t)
0.2b
(+ (* z x) (* (- t) x))
3.7b
(/ (+ (* z x) (* (- t) x)) y)

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
22×*-un-lft-identity
20×add-sqr-sqrt add-cube-cbrt
17×fma-def
8×distribute-rgt-out
7×add-log-exp
6×distribute-lft-neg-out
5×add-cbrt-cube add-exp-log
4×div-sub associate-/l*
3×expm1-log1p-u pow1 associate-/r* flip3-+ unsub-neg flip-+ insert-posit16 log1p-expm1-u
2×+-commutative sum-log associate-+l- div-inv associate-/l/
1×cbrt-undiv clear-num frac-2neg div-exp distribute-lft-out
Counts
3 → 89
Calls
3 calls:
45.0ms
(+ (/ (+ (* z x) (* (- t) x)) y) t)
9.0ms
(+ (* z x) (* (- t) x))
29.0ms
(/ (+ (* z x) (* (- t) x)) y)

series174.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(+ (/ (+ (* z x) (* (- t) x)) y) t)
47.0ms
(+ (* z x) (* (- t) x))
73.0ms
(/ (+ (* z x) (* (- t) x)) y)

simplify1.9s

Counts
98 → 98
Iterations
IterNodes
done5000
34410
21034
1306
0120

prune312.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
2.1b
(* (/ (cbrt x) y) (- z t))
3.0b
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) (- z t)))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
68×add-sqr-sqrt
66×add-exp-log
60×*-un-lft-identity
58×add-cube-cbrt
55×distribute-rgt-in distribute-lft-in
54×prod-diff
35×add-cbrt-cube
33×prod-exp
29×associate-*l*
23×times-frac
20×cbrt-unprod
18×div-exp
16×cbrt-prod
11×frac-times pow1 associate-*r/
10×cbrt-undiv
6×sub-neg flip3-- 1-exp associate-*r* flip--
4×expm1-log1p-u pow-prod-down associate-*l/ insert-posit16 log1p-expm1-u add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative div-inv
1×distribute-lft-out-- difference-of-squares
Counts
4 → 201
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
31.0ms
(* (/ (cbrt x) y) (- z t))
63.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) (- z t)))

series845.0ms

Counts
4 → 12
Calls
4 calls:
243.0ms
(cbrt x)
268.0ms
(cbrt x)
216.0ms
(* (/ (cbrt x) y) (- z t))
118.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) (- z t)))

simplify1.9s

Counts
213 → 213
Iterations
IterNodes
done5002
22859
11105
0329

prune620.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes301.0ms

Accuracy

87.2% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 5.8b

bsearch1.0ms

simplify13.0ms

Iterations
IterNodes
done52
352
248
141
029

end0.0ms

sample1.2s

Algorithm
intervals
Results
855.0ms10610×body80valid