Details

Time bar (total: 12.7s)

sample30.0ms

Algorithm
intervals
Results
12.0ms356×body80valid

simplify2.0s

Counts
1 → 1
Iterations

Useful iterations: 3 (10.0ms)

IterNodesCost
089
1149
2289
3518
4898
51568
63538
710058
832178
done50008

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y x) t)
4.1b
(fma (/ (- y x) t) z x)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/l*
4×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
3×associate-/r*
2×pow1 expm1-log1p-u log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 50
Calls
2 calls:
28.0ms
(/ (- y x) t)
1.0ms
(fma (/ (- y x) t) z x)

series425.0ms

Counts
2 → 6
Calls
2 calls:
367.0ms
(/ (- y x) t)
58.0ms
(fma (/ (- y x) t) z x)

simplify1.9s

Counts
56 → 56
Iterations

Useful iterations: 3 (662.0ms)

IterNodesCost
093570
1199548
2635514
33726509
done5001509

prune202.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.2b
(- (/ y t) (/ x t))
4.1b
(fma (- (/ y t) (/ x t)) z x)

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
253×times-frac
205×add-sqr-sqrt
201×*-un-lft-identity
193×add-cube-cbrt
169×prod-diff
29×div-inv
13×fma-neg
4×distribute-lft-out-- add-log-exp difference-of-squares
2×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
1×sub-neg flip3-- distribute-rgt-out-- diff-log frac-sub flip-- fma-udef sub-div
Counts
2 → 217
Calls
2 calls:
51.0ms
(- (/ y t) (/ x t))
0.0ms
(fma (- (/ y t) (/ x t)) z x)

series89.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(- (/ y t) (/ x t))
47.0ms
(fma (- (/ y t) (/ x t)) z x)

simplify1.9s

Counts
223 → 223
Iterations

Useful iterations: done (1.9s)

IterNodesCost
03298052
17387084
222395280
done50003939

prune374.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (/ 1 t) (- y x))
4.1b
(fma (* (/ 1 t) (- y x)) z x)

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
25×*-un-lft-identity
22×add-cube-cbrt
18×prod-diff
13×associate-*l*
11×add-exp-log distribute-rgt-in distribute-lft-in times-frac
7×add-cbrt-cube
5×associate-*r*
4×pow1 prod-exp
3×unswap-sqr
2×expm1-log1p-u frac-times sub-neg flip3-- associate-*r/ div-exp flip-- cbrt-unprod log1p-expm1-u add-log-exp
1×cbrt-undiv rec-exp 1-exp pow-prod-down associate-*l/ *-commutative fma-udef div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 75
Calls
2 calls:
56.0ms
(* (/ 1 t) (- y x))
1.0ms
(fma (* (/ 1 t) (- y x)) z x)

series82.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(* (/ 1 t) (- y x))
36.0ms
(fma (* (/ 1 t) (- y x)) z x)

simplify2.0s

Counts
81 → 81
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01681246
14541059
22488727
done5000697

prune215.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
8×add-cube-cbrt
5×pow1 associate-*l* add-log-exp
4×associate-*l/
3×expm1-log1p-u fma-def times-frac associate-*r* associate-/r* log1p-expm1-u
2×cbrt-undiv flip3-- div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 66
Calls
3 calls:
25.0ms
(* (- y x) z)
10.0ms
(+ x (/ (* (- y x) z) t))
21.0ms
(/ (* (- y x) z) t)

series125.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(* (- y x) z)
40.0ms
(+ x (/ (* (- y x) z) t))
50.0ms
(/ (* (- y x) z) t)

simplify1.3s

Counts
75 → 75
Iterations

Useful iterations: done (1.3s)

IterNodesCost
0116736
1304699
21560635
done5001613

prune165.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes178.0ms

Accuracy

59.3% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 1.9b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02152
12552
done2552

end0.0ms

sample1.4s

Algorithm
intervals
Results
635.0ms10704×body80valid