Details

Time bar (total: 10.6s)

sample54.0ms

Algorithm
intervals
Results
21.0ms373×body80valid

simplify94.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1179
2359
3519
4719
5859
6899
done899

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize13.0ms

Local error

Found 2 expressions with local error:

0.5b
(- (* x y) (* z t))
5.9b
(/ (- (* x y) (* z t)) a)

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 expm1-log1p-u flip3-- flip-- log1p-expm1-u associate-/l/
1×cbrt-undiv sub-neg frac-2neg fma-neg diff-log div-sub div-exp prod-diff clear-num div-inv
Counts
2 → 48
Calls
2 calls:
14.0ms
(- (* x y) (* z t))
31.0ms
(/ (- (* x y) (* z t)) a)

series116.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(- (* x y) (* z t))
69.0ms
(/ (- (* x y) (* z t)) a)

simplify2.0s

Counts
54 → 54
Iterations

Useful iterations: 3 (715.0ms)

IterNodesCost
088706
1224679
2790630
34076628
done5000628

prune272.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 6.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* x y) a) (/ (* t z) a))
3.9b
(/ (* t z) a)
5.3b
(/ (* x y) a)

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
51×times-frac
49×prod-diff
39×add-sqr-sqrt *-un-lft-identity
37×add-cube-cbrt
19×div-inv
13×add-exp-log add-cbrt-cube
7×fma-neg
6×associate-/r*
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u log1p-expm1-u
2×frac-2neg prod-exp clear-num cbrt-unprod associate-/l*
1×sub-neg flip3-- distribute-rgt-out-- diff-log frac-sub flip-- distribute-lft-out-- sub-div difference-of-squares
Counts
3 → 121
Calls
3 calls:
27.0ms
(- (/ (* x y) a) (/ (* t z) a))
11.0ms
(/ (* t z) a)
11.0ms
(/ (* x y) a)

series189.0ms

Counts
3 → 9
Calls
3 calls:
119.0ms
(- (/ (* x y) a) (/ (* t z) a))
26.0ms
(/ (* t z) a)
44.0ms
(/ (* x y) a)

simplify1.8s

Counts
130 → 130
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01932987
15032441
225641978
done50011891

prune408.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

3.2b
(* (- (/ z a)) t)
4.1b
(fma (/ x 1) (/ y a) (* (- (/ z a)) t))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
30×associate-*l*
20×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity times-frac
13×distribute-lft-neg-in distribute-rgt-neg-in
4×pow1 add-exp-log add-cbrt-cube
3×associate-*r*
2×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
1×distribute-lft-neg-out neg-mul-1 pow-prod-down associate-*l/ prod-exp *-commutative cbrt-unprod fma-udef distribute-neg-frac unswap-sqr
Counts
2 → 59
Calls
2 calls:
48.0ms
(* (- (/ z a)) t)
1.0ms
(fma (/ x 1) (/ y a) (* (- (/ z a)) t))

series152.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(* (- (/ z a)) t)
119.0ms
(fma (/ x 1) (/ y a) (* (- (/ z a)) t))

simplify875.0ms

Counts
65 → 65
Iterations

Useful iterations: 2 (130.0ms)

IterNodesCost
0108591
1237556
21206509
done5000509

prune319.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

3.2b
(* (- (/ z a)) t)
3.7b
(fma (* x y) (/ 1 a) (* (- (/ z a)) t))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
30×associate-*l*
20×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity times-frac
13×distribute-lft-neg-in distribute-rgt-neg-in
4×pow1 add-exp-log add-cbrt-cube
3×associate-*r*
2×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
1×distribute-lft-neg-out neg-mul-1 pow-prod-down associate-*l/ prod-exp *-commutative cbrt-unprod fma-udef distribute-neg-frac unswap-sqr
Counts
2 → 59
Calls
2 calls:
27.0ms
(* (- (/ z a)) t)
1.0ms
(fma (* x y) (/ 1 a) (* (- (/ z a)) t))

series158.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(* (- (/ z a)) t)
126.0ms
(fma (* x y) (/ 1 a) (* (- (/ z a)) t))

simplify1.0s

Counts
65 → 65
Iterations

Useful iterations: 2 (165.0ms)

IterNodesCost
0106591
1235582
21199509
done5001509

prune280.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes596.0ms

Accuracy

84.6% (1.2b remaining)

Error of 1.3b against oracle of 0.1b and baseline of 7.9b

bsearch2.0ms

simplify12.0ms

Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
02864
13950
24450
34550
done4550

end0.0ms

sample2.0s

Algorithm
intervals
Results
619.0ms11160×body80valid