Details

Time bar (total: 14.4s)

sample31.0ms

Algorithm
intervals
Results
15.0ms273×body80valid

simplify2.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11811
23311
35811
410511
516711
622511
730811
848011
986411
10252411
done500111

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.4b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
8.1b
(/ (* y (- z t)) (- z a))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
6×add-cube-cbrt
5×times-frac associate-*r* associate-/r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
45.0ms
(* y (- z t))
57.0ms
(/ (* y (- z t)) (- z a))

series190.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(* y (- z t))
123.0ms
(/ (* y (- z t)) (- z a))

simplify836.0ms

Counts
61 → 61
Iterations

Useful iterations: done (834.0ms)

IterNodesCost
0105599
1283575
21117509
done5000501

prune189.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- z a))
1.3b
(* y (/ (- z t) (- z a)))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
45.0ms
(/ (- z t) (- z a))
97.0ms
(* y (/ (- z t) (- z a)))

series170.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ (- z t) (- z a))
118.0ms
(* y (/ (- z t) (- z a)))

simplify1.0s

Counts
108 → 108
Iterations

Useful iterations: 2 (325.0ms)

IterNodesCost
01381319
13761259
215191169
done50011169

prune298.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z a) (- z t))
1.5b
(/ y (/ (- z a) (- z t)))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×div-sub
Counts
2 → 194
Calls
2 calls:
32.0ms
(/ (- z a) (- z t))
31.0ms
(/ y (/ (- z a) (- z t)))

series216.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(/ (- z a) (- z t))
142.0ms
(/ y (/ (- z a) (- z t)))

simplify1.6s

Counts
200 → 200
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02683480
17293300
237783164
done50013158

prune776.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z t))
0.0b
(/ 1 (- z a))
8.1b
(* (* y (- z t)) (/ 1 (- z a)))

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
40×*-un-lft-identity
31×add-exp-log
30×times-frac
26×associate-*r*
24×add-cube-cbrt
19×add-cbrt-cube
13×prod-exp
11×pow1
8×distribute-lft-out-- difference-of-squares
7×associate-*r/ cbrt-unprod
6×div-exp
5×flip3-- associate-/r* flip--
4×associate-*l* pow-prod-down associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp
2×distribute-rgt-in frac-times sub-neg distribute-lft-in associate-*l/ *-commutative div-inv
1×pow-flip frac-2neg clear-num un-div-inv inv-pow unswap-sqr
Counts
3 → 117
Calls
3 calls:
32.0ms
(* y (- z t))
20.0ms
(/ 1 (- z a))
75.0ms
(* (* y (- z t)) (/ 1 (- z a)))

series204.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(* y (- z t))
61.0ms
(/ 1 (- z a))
100.0ms
(* (* y (- z t)) (/ 1 (- z a)))

simplify4.3s

Counts
126 → 126
Iterations

Useful iterations: 2 (482.0ms)

IterNodesCost
01621373
14591201
230701014
done50011014

prune296.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes150.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11211
done1211

end0.0ms

sample1.2s

Algorithm
intervals
Results
487.0ms8727×body80valid
0.0ms1×body2560valid