Details

Time bar (total: 15.6s)

sample39.0ms

Algorithm
intervals
Results
14.0ms272×body80valid

simplify2.6s

Counts
1 → 1
Iterations
IterNodes
done5000
64400
5954
4265
3108
258
125
012

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z y) (+ 1.0 (- t z)))
0.1b
(fma a (/ (- z y) (+ 1.0 (- t z))) x)

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
56×*-un-lft-identity
26×add-sqr-sqrt
25×times-frac
14×add-cube-cbrt
12×distribute-lft-out distribute-lft-out--
6×difference-of-squares
5×associate-/r* associate-/l*
4×add-cbrt-cube add-exp-log
2×expm1-log1p-u pow1 associate-/r/ log1p-expm1-u add-log-exp associate-/l/
1×cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-sub div-exp flip-+ fma-udef div-inv flip--
Counts
2 → 64
Calls
2 calls:
68.0ms
(/ (- z y) (+ 1.0 (- t z)))
1.0ms
(fma a (/ (- z y) (+ 1.0 (- t z))) x)

series227.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(/ (- z y) (+ 1.0 (- t z)))
156.0ms
(fma a (/ (- z y) (+ 1.0 (- t z))) x)

simplify760.0ms

Counts
70 → 70
Iterations
IterNodes
done5000
21021
1284
0116

prune446.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ 1.0 (- t z)) (- z y))
0.1b
(fma a (/ 1 (/ (+ 1.0 (- t z)) (- z y))) x)
0.2b
(/ 1 (/ (+ 1.0 (- t z)) (- z y)))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
273×*-un-lft-identity
218×times-frac
143×add-sqr-sqrt
91×add-cube-cbrt
52×distribute-lft-out distribute-lft-out--
36×associate-/r*
26×difference-of-squares
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
8×div-exp associate-/l*
6×div-inv
5×flip3-- flip--
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp clear-num frac-2neg 1-exp associate-/l/
1×associate-+r- flip3-+ div-sub flip-+ fma-udef pow-flip inv-pow
Counts
3 → 214
Calls
3 calls:
81.0ms
(/ (+ 1.0 (- t z)) (- z y))
0.0ms
(fma a (/ 1 (/ (+ 1.0 (- t z)) (- z y))) x)
46.0ms
(/ 1 (/ (+ 1.0 (- t z)) (- z y)))

series527.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(/ (+ 1.0 (- t z)) (- z y))
260.0ms
(fma a (/ 1 (/ (+ 1.0 (- t z)) (- z y))) x)
176.0ms
(/ 1 (/ (+ 1.0 (- t z)) (- z y)))

simplify1.6s

Counts
223 → 223
Iterations
IterNodes
done5002
23661
1668
0260

prune796.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ a (- (+ 1.0 t) z))
0.0b
(+ (* (/ a (- (+ 1.0 t) z)) (- z y)) x)
9.9b
(* (/ a (- (+ 1.0 t) z)) (- z y))

rewrite209.0ms

Algorithm
rewrite-expression-head
Rules
86×*-un-lft-identity
70×add-sqr-sqrt
49×add-cube-cbrt
37×times-frac
36×prod-diff
24×associate-*l*
22×distribute-rgt-in associate-+l+ distribute-lft-in
15×distribute-lft-out--
10×add-cbrt-cube add-exp-log
8×difference-of-squares
7×distribute-lft-out
6×associate-/r*
5×pow1 associate-*r* add-log-exp
4×sub-neg flip3-- associate-/r/ flip--
3×expm1-log1p-u log1p-expm1-u associate-/l*
2×frac-times cbrt-undiv div-exp prod-exp associate-*r/ cbrt-unprod div-inv unswap-sqr
1×+-commutative clear-num sum-log fma-def frac-2neg flip3-+ pow-prod-down associate-*l/ *-commutative flip-+
Counts
3 → 152
Calls
3 calls:
38.0ms
(/ a (- (+ 1.0 t) z))
57.0ms
(+ (* (/ a (- (+ 1.0 t) z)) (- z y)) x)
102.0ms
(* (/ a (- (+ 1.0 t) z)) (- z y))

series547.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(/ a (- (+ 1.0 t) z))
305.0ms
(+ (* (/ a (- (+ 1.0 t) z)) (- z y)) x)
190.0ms
(* (/ a (- (+ 1.0 t) z)) (- z y))

simplify1.8s

Counts
161 → 161
Iterations
IterNodes
done5001
23812
1729
0251

prune1.0s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* a (/ (- z y) (- (+ 1.0 t) z))) x)
0.0b
(/ (- z y) (- (+ 1.0 t) z))
0.4b
(* a (/ (- z y) (- (+ 1.0 t) z)))

rewrite194.0ms

Algorithm
rewrite-expression-head
Rules
110×*-un-lft-identity
82×add-sqr-sqrt
61×times-frac
36×associate-*r*
35×distribute-lft-out--
29×add-cube-cbrt
24×difference-of-squares
11×distribute-lft-out
10×add-cbrt-cube add-exp-log
6×associate-/r*
5×pow1 associate-/l* add-log-exp
4×associate-/r/
3×expm1-log1p-u flip3-- associate-*l* log1p-expm1-u flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr associate-/l/
1×+-commutative clear-num sum-log fma-def frac-2neg flip3-+ div-sub pow-prod-down associate-*r/ *-commutative flip-+
Counts
3 → 131
Calls
3 calls:
29.0ms
(+ (* a (/ (- z y) (- (+ 1.0 t) z))) x)
58.0ms
(/ (- z y) (- (+ 1.0 t) z))
102.0ms
(* a (/ (- z y) (- (+ 1.0 t) z)))

series390.0ms

Counts
3 → 9
Calls
3 calls:
211.0ms
(+ (* a (/ (- z y) (- (+ 1.0 t) z))) x)
71.0ms
(/ (- z y) (- (+ 1.0 t) z))
108.0ms
(* a (/ (- z y) (- (+ 1.0 t) z)))

simplify1.6s

Counts
140 → 140
Iterations
IterNodes
done5002
22204
1526
0186

prune746.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes471.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done15
115
012

end0.0ms

sample1.3s

Algorithm
intervals
Results
634.0ms8476×body80valid
0.0ms1×body640valid