Details

Time bar (total: 3.6s)

sample19.0ms

Algorithm
intervals
Results
8.0ms275×body80valid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0215
1355
2565
3945
41505
51855
62035
72305
82805
93685
104575
117235
129225
1310385
1410605
1510605

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- z a))
0.8b
(* y (/ (- z t) (- z a)))

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

series108.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ (- z t) (- z a))
66.0ms
(* y (/ (- z t) (- z a)))

simplify46.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0351647
11392606
25002606

prune248.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ z (- z a)) (/ t (- z a)))
0.0b
(/ z (- z a))
0.0b
(/ t (- z a))
0.8b
(* y (- (/ z (- z a)) (/ t (- z a))))

rewrite77.0ms

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 (- z a)) (/ t (- z a)))
5.0ms
(/ z (- z a))
5.0ms
(/ t (- z a))
34.0ms
(* y (- (/ z (- z a)) (/ t (- z a))))

series306.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(- (/ z (- z a)) (/ t (- z a)))
45.0ms
(/ z (- z a))
27.0ms
(/ t (- z a))
130.0ms
(* y (- (/ z (- z a)) (/ t (- z a))))

simplify48.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0429888
11588838
25002838

prune363.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z a))
0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
16×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
4 → 60
Calls
4 calls:
3.0ms
(cbrt (- z a))
3.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))

series596.0ms

Counts
4 → 12
Calls
4 calls:
149.0ms
(cbrt (- z a))
149.0ms
(cbrt (- z t))
150.0ms
(cbrt (- z t))
147.0ms
(cbrt (- z t))

simplify185.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 4 (179.0ms)

IterNodesCost
0243428
1523408
21374396
34708373
45001365

prune303.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- z a))
11.2b
(* (/ y (- z a)) (- z t))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*l*
9×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×associate-*r* associate-/r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv distribute-rgt-in frac-times sub-neg distribute-lft-in associate-*r/ div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 87
Calls
2 calls:
5.0ms
(/ y (- z a))
12.0ms
(* (/ y (- z a)) (- z t))

series147.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ y (- z a))
114.0ms
(* (/ y (- z a)) (- z t))

simplify47.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0341497
11399459
25001459

prune219.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes151.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01919
11919

end0.0ms

sample529.0ms

Algorithm
intervals
Results
276.0ms8705×body80valid
0.0ms2×body640valid