Details

Time bar (total: 6.7s)

sample21.0ms

Algorithm
intervals
Results
9.0ms296×body80valid

simplify78.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0174
1254
2494
3724
41054
51224
61394
71494
81564
91604
101644
112594
122974
133194
144054
154744
165324
176264
187024
197114
207114

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.8b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
2.7b
(* (/ (- x y) (- z y)) t)

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*l*
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-*r* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
14.0ms
(/ (- x y) (- z y))
48.0ms
(* (/ (- x y) (- z y)) t)

series136.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ (- x y) (- z y))
92.0ms
(* (/ (- x y) (- z y)) t)

simplify109.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0360653
11125612
24528611
35002611

prune214.0ms

Filtered
108 candidates to 72 candidates (66.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

2.7b
(* (/ (- x y) (- z y)) t)
5.9b
(cbrt (* (/ (- x y) (- z y)) t))
5.9b
(cbrt (* (/ (- x y) (- z y)) t))
5.9b
(cbrt (* (/ (- x y) (- z y)) t))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×associate-*l*
26×times-frac
16×add-cube-cbrt
10×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
6×pow1
4×associate-*l/ add-log-exp
3×cbrt-prod cbrt-div pow1/3 associate-*r*
2×prod-exp associate-/r/ cbrt-unprod unswap-sqr
1×cbrt-undiv flip3-- div-exp pow-prod-down *-commutative flip-- div-inv
Counts
4 → 80
Calls
4 calls:
25.0ms
(* (/ (- x y) (- z y)) t)
7.0ms
(cbrt (* (/ (- x y) (- z y)) t))
7.0ms
(cbrt (* (/ (- x y) (- z y)) t))
7.0ms
(cbrt (* (/ (- x y) (- z y)) t))

series937.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(* (/ (- x y) (- z y)) t)
278.0ms
(cbrt (* (/ (- x y) (- z y)) t))
284.0ms
(cbrt (* (/ (- x y) (- z y)) t))
281.0ms
(cbrt (* (/ (- x y) (- z y)) t))

simplify35.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0377695
11115635
25001629

prune310.0ms

Filtered
92 candidates to 71 candidates (77.2%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))
0.9b
(* (/ (cbrt (- x y)) (- z y)) t)
7.2b
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
66×add-exp-log add-sqr-sqrt
58×*-un-lft-identity
53×associate-*l*
45×times-frac
36×cbrt-prod
35×add-cbrt-cube
33×prod-exp
28×add-cube-cbrt
20×cbrt-unprod
18×div-exp
15×distribute-lft-out-- difference-of-squares
11×pow1
10×cbrt-undiv
6×1-exp
4×cbrt-div associate-*r* pow-prod-down associate-*l/ add-log-exp
3×flip3-- flip-- unswap-sqr
2×pow1/3 associate-/r/ *-commutative div-inv
1×frac-times associate-*r/
Counts
4 → 141
Calls
4 calls:
2.0ms
(cbrt (- x y))
2.0ms
(cbrt (- x y))
32.0ms
(* (/ (cbrt (- x y)) (- z y)) t)
51.0ms
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

series1.4s

Counts
4 → 12
Calls
4 calls:
146.0ms
(cbrt (- x y))
150.0ms
(cbrt (- x y))
978.0ms
(* (/ (cbrt (- x y)) (- z y)) t)
96.0ms
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

simplify75.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06161348
126021097
25001974

prune352.0ms

Filtered
153 candidates to 96 candidates (62.7%)
Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))
0.9b
(* (/ (cbrt (- x y)) (- z y)) t)
7.2b
(* (/ (* (cbrt (- x y)) (* (cbrt (* (cbrt (- x y)) (cbrt (- x y)))) (cbrt (cbrt (- x y))))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
99×add-exp-log
66×add-sqr-sqrt
58×*-un-lft-identity
55×prod-exp
53×associate-*l*
46×add-cbrt-cube
45×times-frac
36×cbrt-prod
31×cbrt-unprod
28×add-cube-cbrt
26×div-exp
15×distribute-lft-out-- difference-of-squares
14×cbrt-undiv
11×pow1
9×1-exp
4×cbrt-div associate-*r* pow-prod-down associate-*l/ add-log-exp
3×flip3-- flip-- unswap-sqr
2×pow1/3 associate-/r/ *-commutative div-inv
1×frac-times associate-*r/
Counts
4 → 150
Calls
4 calls:
2.0ms
(cbrt (- x y))
2.0ms
(cbrt (- x y))
30.0ms
(* (/ (cbrt (- x y)) (- z y)) t)
87.0ms
(* (/ (* (cbrt (- x y)) (* (cbrt (* (cbrt (- x y)) (cbrt (- x y)))) (cbrt (cbrt (- x y))))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

series1.5s

Counts
4 → 12
Calls
4 calls:
145.0ms
(cbrt (- x y))
152.0ms
(cbrt (- x y))
1.1s
(* (/ (cbrt (- x y)) (- z y)) t)
95.0ms
(* (/ (* (cbrt (- x y)) (* (cbrt (* (cbrt (- x y)) (cbrt (- x y)))) (cbrt (cbrt (- x y))))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

simplify94.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
07142117
132121667
250011652

prune405.0ms

Filtered
162 candidates to 99 candidates (61.1%)
Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes231.0ms

Accuracy

40.9% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 2.2b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02830
12830

end0.0ms

sample436.0ms

Algorithm
intervals
Results
220.0ms8751×body80valid