Details

Time bar (total: 11.2s)

sample21.0ms

Algorithm
intervals
Results
7.0ms282×body80valid

simplify77.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0215
1374
2604
31044
41744
52374
62664
73124
83754
95074
106664
1111174
1213414
1315134
1415354
1515354
done15354

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.8b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (/ (- z t) (- z a))))
0.0b
(/ (- z t) (- z a))
2.1b
(* y (/ (- z t) (- z a)))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
77×add-sqr-sqrt
72×*-un-lft-identity
51×times-frac
31×associate-*r*
28×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 associate-/r* associate-/l* add-log-exp
4×associate-/r/
3×expm1-log1p-u flip3-- fma-def associate-*l* flip-- log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 122
Calls
3 calls:
6.0ms
(+ x (* y (/ (- z t) (- z a))))
22.0ms
(/ (- z t) (- z a))
42.0ms
(* y (/ (- z t) (- z a)))

series202.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(+ x (* y (/ (- z t) (- z a))))
50.0ms
(/ (- z t) (- z a))
67.0ms
(* y (/ (- z t) (- z a)))

simplify49.0ms

Counts
131 → 131
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0435776
11703730
25001730
done5001730

prune537.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y (- (/ z (- z a)) (/ t (- z a)))))
0.0b
(- (/ z (- z a)) (/ t (- z a)))
0.0b
(/ z (- z a))
2.1b
(* y (- (/ z (- z a)) (/ t (- z a))))

rewrite873.0ms

Algorithm
rewrite-expression-head
Rules
3246×*-un-lft-identity
3228×add-sqr-sqrt
3216×times-frac
2205×prod-diff
1920×add-cube-cbrt
886×distribute-rgt-in associate-+r+ distribute-lft-in
661×distribute-lft-out--
649×difference-of-squares
432×associate-/r/
218×flip3-- flip--
216×div-inv
21×fma-neg
18×associate-*r*
8×add-exp-log add-cbrt-cube add-log-exp
6×pow1 distribute-rgt-out--
5×sub-neg associate-/r*
4×expm1-log1p-u associate-*r/ log1p-expm1-u
3×fma-def associate-*l* associate-/l*
2×frac-sub sub-div
1×cbrt-undiv +-commutative frac-2neg flip3-+ diff-log div-exp pow-prod-down prod-exp clear-num sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
4 → 2359
Calls
4 calls:
150.0ms
(+ x (* y (- (/ z (- z a)) (/ t (- z a)))))
99.0ms
(- (/ z (- z a)) (/ t (- z a)))
11.0ms
(/ z (- z a))
300.0ms
(* y (- (/ z (- z a)) (/ t (- z a))))

series392.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(+ x (* y (- (/ z (- z a)) (/ t (- z a)))))
113.0ms
(- (/ z (- z a)) (/ t (- z a)))
44.0ms
(/ z (- z a))
146.0ms
(* y (- (/ z (- z a)) (/ t (- z a))))

simplify517.0ms

Counts
2371 → 2371
Iterations

Useful iterations: 1 (56.0ms)

IterNodesCost
0335964192
1500158016
done500158016

prune5.8s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z a))
0.5b
(cbrt (- z a))
0.5b
(cbrt (- z a))
7.4b
(* (/ y (* (cbrt (- z a)) (cbrt (- z a)))) (/ (- z t) (cbrt (- z a))))

rewrite144.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
60×*-un-lft-identity
50×times-frac
46×associate-*r*
42×cbrt-prod
28×add-cube-cbrt
25×add-exp-log
20×cbrt-div
18×add-cbrt-cube
16×distribute-lft-out-- difference-of-squares
15×associate-*l*
10×flip3-- associate-/r/ flip--
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×pow1 unswap-sqr
5×frac-times
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 144
Calls
4 calls:
4.0ms
(cbrt (- z a))
4.0ms
(cbrt (- z a))
4.0ms
(cbrt (- z a))
126.0ms
(* (/ y (* (cbrt (- z a)) (cbrt (- z a)))) (/ (- z t) (cbrt (- z a))))

series604.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(cbrt (- z a))
156.0ms
(cbrt (- z a))
161.0ms
(cbrt (- z a))
123.0ms
(* (/ y (* (cbrt (- z a)) (cbrt (- z a)))) (/ (- z t) (cbrt (- z a))))

simplify94.0ms

Counts
156 → 156
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
06541634
131191481
250021416
done50021416

prune519.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z t)) (- z a)))
0.0b
(* y (- z t))
13.1b
(/ (* y (- z t)) (- z a))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt *-un-lft-identity
20×add-cube-cbrt
18×prod-diff
11×distribute-rgt-in distribute-lft-in
10×add-exp-log add-cbrt-cube
5×pow1 times-frac associate-*r* associate-/r* add-log-exp
4×associate-*r/
3×expm1-log1p-u flip3-- fma-def associate-*l* flip-- log1p-expm1-u distribute-lft-out-- difference-of-squares
2×cbrt-undiv sub-neg div-exp prod-exp associate-/r/ 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* unswap-sqr
Counts
3 → 94
Calls
3 calls:
22.0ms
(+ x (/ (* y (- z t)) (- z a)))
21.0ms
(* y (- z t))
26.0ms
(/ (* y (- z t)) (- z a))

series197.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(+ x (/ (* y (- z t)) (- z a)))
37.0ms
(* y (- z t))
73.0ms
(/ (* y (- z t)) (- z a))

simplify54.0ms

Counts
103 → 103
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0425660
11856494
25001492
done5001492

prune197.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes133.0ms

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
0137
1137
done137

end0.0ms

sample596.0ms

Algorithm
intervals
Results
247.0ms8775×body80valid
1.0ms3×body640valid
0.0ms1×body1280valid