Details

Time bar (total: 4.2s)

sample21.0ms

Algorithm
intervals
Results
8.0ms280×body80valid

simplify50.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0205
1345
2555
3935
41495
51845
62025
72295
82805
93725
104655
117685
128765
138785
148785

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- a t))
2.3b
(* y (/ (- z t) (- a t)))

rewrite26.0ms

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:
8.0ms
(/ (- z t) (- a t))
13.0ms
(* y (/ (- z t) (- a t)))

series117.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (- z t) (- a t))
66.0ms
(* y (/ (- z t) (- a t)))

simplify41.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0349647
11396606
25001606

prune251.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ z (- a t)) (/ t (- a t)))
0.0b
(/ z (- a t))
0.0b
(/ t (- a t))
2.3b
(* y (- (/ z (- a t)) (/ t (- a t))))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
98×*-un-lft-identity
80×add-sqr-sqrt
66×times-frac
32×distribute-lft-out--
30×add-cube-cbrt
20×difference-of-squares
18×associate-*r*
12×associate-/r/
10×add-exp-log associate-/r* add-cbrt-cube
8×flip3-- flip--
6×pow1 distribute-rgt-out-- div-inv associate-/l* add-log-exp
4×associate-*r/
3×sub-neg associate-*l*
2×cbrt-undiv distribute-rgt-in frac-2neg distribute-lft-in div-exp clear-num frac-sub sub-div
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 144
Calls
4 calls:
26.0ms
(- (/ z (- a t)) (/ t (- a t)))
5.0ms
(/ z (- a t))
5.0ms
(/ t (- a t))
36.0ms
(* y (- (/ z (- a t)) (/ t (- a t))))

series213.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(- (/ z (- a t)) (/ t (- a t)))
27.0ms
(/ z (- a t))
46.0ms
(/ t (- a t))
73.0ms
(* y (- (/ z (- a t)) (/ t (- a t))))

simplify46.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0434894
11618844
25001844

prune397.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ z (- a t)) (/ 1 (/ (- a t) t)))
0.0b
(/ z (- a t))
0.6b
(/ 1 (/ (- a t) t))
2.3b
(* y (- (/ z (- a t)) (/ 1 (/ (- a t) t))))

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
174×times-frac
172×add-sqr-sqrt
136×*-un-lft-identity
72×add-cube-cbrt
36×difference-of-squares
26×distribute-lft-out--
24×associate-/r*
19×add-exp-log
17×associate-*r*
13×add-cbrt-cube
8×div-exp div-inv
7×pow1
6×associate-/l* add-log-exp
4×cbrt-undiv
3×sub-neg flip3-- associate-*r/ associate-*l* associate-/r/ flip--
2×distribute-rgt-in rec-exp frac-2neg distribute-lft-in 1-exp clear-num frac-sub
1×pow-flip diff-log pow-prod-down prod-exp *-commutative cbrt-unprod inv-pow unswap-sqr
Counts
4 → 203
Calls
4 calls:
61.0ms
(- (/ z (- a t)) (/ 1 (/ (- a t) t)))
5.0ms
(/ z (- a t))
8.0ms
(/ 1 (/ (- a t) t))
66.0ms
(* y (- (/ z (- a t)) (/ 1 (/ (- a t) t))))

series223.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(- (/ z (- a t)) (/ 1 (/ (- a t) t)))
28.0ms
(/ z (- a t))
46.0ms
(/ 1 (/ (- a t) t))
80.0ms
(* y (- (/ z (- a t)) (/ 1 (/ (- a t) t))))

simplify72.0ms

Algorithm
egg-herbie
Counts
215 → 215
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
07121656
130141398
250021388

prune429.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
0.6b
(* (cbrt (- z t)) (cbrt (- z t)))
6.7b
(* (* (* (cbrt (- z t)) (cbrt (- z t))) y) (/ (cbrt (- z t)) (- a t)))

rewrite233.0ms

Algorithm
rewrite-expression-head
Rules
79×add-sqr-sqrt
77×*-un-lft-identity
63×cbrt-prod
54×associate-*r*
40×cbrt-div times-frac
33×add-cube-cbrt
30×associate-*l/
27×add-exp-log
21×flip3-- flip-- distribute-lft-out--
20×pow1 frac-times
19×difference-of-squares
18×add-cbrt-cube
13×prod-exp cbrt-unprod
10×swap-sqr
9×associate-*l*
8×pow1/3 pow-prod-down
7×associate-*r/
4×add-log-exp unswap-sqr
3×cbrt-undiv div-exp
2×associate-/r/ pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus div-inv
Counts
4 → 173
Calls
4 calls:
3.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))
11.0ms
(* (cbrt (- z t)) (cbrt (- z t)))
208.0ms
(* (* (* (cbrt (- z t)) (cbrt (- z t))) y) (/ (cbrt (- z t)) (- a t)))

series478.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(cbrt (- z t))
147.0ms
(cbrt (- z t))
121.0ms
(* (cbrt (- z t)) (cbrt (- z t)))
65.0ms
(* (* (* (cbrt (- z t)) (cbrt (- z t))) y) (/ (cbrt (- z t)) (- a t)))

simplify118.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
07561904
139391740
250021625

prune490.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes158.0ms

Accuracy

-5.4% (1.4b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.4b

bsearch82.0ms

Steps
ItersRangePoint
8
7.254603126169503e-72
3.935207622333976e-69
7.467028472666028e-71
8
-2.9094027944766536e-270
-3.6457286778949607e-274
-1.0071455594193599e-271

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03313
13313

end0.0ms

sample528.0ms

Algorithm
intervals
Results
259.0ms8734×body80valid
0.0ms1×body640valid