Details

Time bar (total: 21.5s)

sample50.0ms

Algorithm
intervals
Results
20.0ms332×body80valid

simplify4.4s

Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
089
1149
2278
3628
41158
51758
62408
74378
812288
945348
done50008

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.9b

localize17.0ms

Local error

Found 1 expressions with local error:

0.8b
(fma (- y x) (/ z t) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma (- y x) (/ z t) x)

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(fma (- y x) (/ z t) x)

simplify1.6s

Counts
13 → 13
Iterations

Useful iterations: 3 (71.0ms)

IterNodesCost
023154
141154
286138
3263123
41482123
done5000123

prune118.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.8b

localize24.0ms

Local error

Found 1 expressions with local error:

7.2b
(/ (- y x) (/ t z))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
85×add-sqr-sqrt *-un-lft-identity
57×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
13×associate-/r*
div-inv
add-exp-log add-cbrt-cube
associate-/l*
cbrt-undiv div-exp
associate-/l/
pow1 expm1-log1p-u flip3-- frac-2neg div-sub clear-num associate-/r/ flip-- log1p-expm1-u add-log-exp
Counts
1 → 103
Calls
1 calls:
51.0ms
(/ (- y x) (/ t z))

series83.0ms

Counts
1 → 3
Calls
1 calls:
83.0ms
(/ (- y x) (/ t z))

simplify1.8s

Counts
106 → 106
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01971676
16001594
227791514
done50011510

prune752.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* z y) t) (/ (* x z) t))
5.2b
(/ (* z y) t)
7.3b
(/ (* x z) t)

rewrite99.0ms

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
fma-neg
associate-/r*
add-log-exp
cbrt-undiv div-exp
pow1 expm1-log1p-u log1p-expm1-u
frac-2neg prod-exp clear-num cbrt-unprod associate-/l*
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:
51.0ms
(- (/ (* z y) t) (/ (* x z) t))
19.0ms
(/ (* z y) t)
19.0ms
(/ (* x z) t)

series169.0ms

Counts
3 → 9
Calls
3 calls:
95.0ms
(- (/ (* z y) t) (/ (* x z) t))
38.0ms
(/ (* z y) t)
36.0ms
(/ (* x z) t)

simplify2.7s

Counts
130 → 130
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01882987
15002441
226151982
done50001887

prune859.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize58.0ms

Local error

Found 3 expressions with local error:

0.7b
(* (/ z t) (+ (- x) x))
3.6b
(fma z (/ y t) (* (- (/ z t)) x))
4.2b
(* (- (/ z t)) x)

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
43×associate-*l*
38×add-sqr-sqrt
35×*-un-lft-identity
31×add-cube-cbrt
28×times-frac
17×distribute-lft-neg-in
16×distribute-rgt-neg-in associate-*r*
10×add-exp-log add-cbrt-cube
pow1
distribute-rgt-out distribute-lft-out
expm1-log1p-u neg-mul-1 prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
frac-times distribute-lft1-in flip3-+ associate-*r/ pow-prod-down associate-*l/ *-commutative flip-+
cbrt-undiv distribute-lft-neg-out distribute-rgt-in distribute-lft-in div-exp fma-udef distribute-neg-frac
Counts
3 → 109
Calls
3 calls:
102.0ms
(* (/ z t) (+ (- x) x))
1.0ms
(fma z (/ y t) (* (- (/ z t)) x))
48.0ms
(* (- (/ z t)) x)

series156.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(* (/ z t) (+ (- x) x))
107.0ms
(fma z (/ y t) (* (- (/ z t)) x))
45.0ms
(* (- (/ z t)) x)

simplify4.9s

Counts
118 → 118
Iterations

Useful iterations: done (4.9s)

IterNodesCost
01841104
15551071
23288926
done5000736

prune1.1s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes554.0ms

Accuracy

0% (2.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
199
done99

end0.0ms

sample1.7s

Algorithm
intervals
Results
842.0ms10661×body80valid